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SEATS presented by Davivaletcher Vkern has been accepted towards fulfillment of the requirements for M.S. d . Mechanics egree 1n 0-7639 MS U is an Affirmative Action/Equal Opportunity Institution W "-—'— ”—— "— LIBRARY Michigan State Unlverolty PLACE IN RETURN BOX to remove this checkout from your record. TO AVOID FINES return on or before date due. DATE DUE DATE DUE DATE DUE shfi £4957 1!” WWW“ TWO-DIMENSIONAL KINETIC MODELING OF HUMAN POSTURE IN AUTOMOTIVE SEATS By David Fletcher Ekern A THESIS Submitted to Michigan State University in partial fulfillment of the requirements for the degree of MASTER OF SCIENCE Department of Material Science and Mechanics 1 998 sir SE mi 9E mt ABSTRACT TWO-DIMENSIONAL KINETIC MODELING OF HUMAN POSTURE IN AUTOMOTIVE SEATS By David Fletcher Ekern To assist automotive seat development, methods for predicting the posture of seated occupants have been developed which utilize two-dimensional computer models constructed using commercial kinetic modeling software. The first model is a two-dimensional representation of the Society of Automotive Engineers (SAE) three-dimensional testing manikin. This model was used to simulate experimental data collected with the SAE three-dimensional testing manikin regarding the stiffness and support force distribution of an automotive seat cushion. The second model developed was the torso geometry and articulation of a mid-size male model known as JOHN. The kinetic two-dimensional JOHN model was used in a comparative seat study to determine the effect of different seat geometries on the final posture of the model. This thesis describes the development, use and application of these models for improving automotive seat development. UN giv anc DEDICATION I would like to dedicate this work to my wife, Christie, who has given me undying love and support through this whole process; thank you and I love you. To my mom, who has encouraged me to learn and discover and who has given me the support to do so, and to my dad, who was not able to help in body and mind, but instead has given me encouragement in spirit. 88$ All 1 mal 80C gui UPI. 9r; Yo thi ex ACKNOWLEDGMENTS This work would not have been possible without the support and assistance of many people: The crew in the Biomechanical Design Laboratory; Melissa Sloan, Akram Ali, Richard Setyabudhy, Barry Frost, Bruce Liu, Cliff Beckett, and Frank Mills. A big thanks goes Chris Gedraitis, for letting me bounce ideas off him and making sure I did things right. Thank you to Tammy and Neil Bush, for supporting and encouraging me and for helping me keep focused. To my graduate committee, Dr. Averill and Dr. Cloud, thank you for your guidance and for taking the time to review my work. To my graduate advisor, Dr. Robert P. Hubbard, thank you for the opportunity to work with you over the past two years. You gave a young graduate student the chance to learn and explore in your lab, and I want to tell you how thankful I am for that chance. Working with you has shaped my thinking and given me the tools to continue'on in life, much better for the experience of working with you. Thank you. [.00 TABLE OF CONTENTS LIST OF TABLES ................................................................................................. vi LIST OF FIGURES ............................................................................................. vii J_. INTRODUCTION ............................................................................................. 1 1._1 Background .............................................................................................. 1 _‘l_.2_ Objectives .............................................................................................. 12 _2_. 2-D SAE KINETIC COMPUTER MODEL DEVELOPMENT ........................... 13 _2_._1_ Methods and Materials .......................................................................... 13 2L1 2-D SAE computer model construction .......................................... 13 _2_.1_.2_ Locating the COM's for the torso and thigh-pelvis segments. ....... 15 24; Experimental data collection .......................................................... 20 M Modeling of experimental data ....................................................... 26 2._2 Results and Discussion ......................................................................... 35 _3_. 2-D JOHN COMPUTER MODEL DEVELOPMENT ....................................... 42 '3_.‘l_ Methods and Materials .......................................................................... 42 3.1—.1 2-D JOHN kinetic computer model construction ............................ 42 3;; Locating the COM’s for the 2-D JOHN body segments ................. 52 §._1_,_3_ Seat model construction ................................................................ 61 3.1.3.1 BAC model development and construction ............................ 63 3.1.3.2 Chrysler LH seat model development and construction ........ 65 §_.1_.fi Seat evaluation protocol ................................................................ 74 §._2_ Results and Discussion ......................................................................... 83 3_._2_.1_ Chrysler LH results ....................................................................... 83 3‘22 BAC results ................................................................................... 95 32.; Upper thorax support location results ......................................... 106 1;: Observations ........................................................................................ 113 :1. CONCLUSION ............................................................................................. 115 BIBLIOGRAPHY ............................................................................................... 118 Tab Tab Tabl Tabl Tabl Tabl. Table Table Table Table Table Table Table Table Table LIST OF TABLES Table 1 - Experimental Force Results ................................................................ 22 Table 2 - Experimental force and deflection results from Hubbard, et. al. [9] ..... 26 Table 3 - Piecewise spring constants calculated from experimental data .......... 36 Table 4 - 2-D SAE model force and deflection results ........................................ 37 Table 5 - Experimental vs. model results for force at H-pt .................................. 38 Table 6 - Experimental vs. model results for force at knee ................................. 38 Table 7 - Model force results for supports at H-pt and thigh .............................. 39 Table 8 - Model piecewise spring constants for supports at H-pt and thigh ....... 39 Table 9 - Comparison of H-pt piecewise spring constants for support at knee vs. support at thigh ............................................................................................. 40 Table 10 - 2-D JOHN body segment masses ..................................................... 55 Table 11 - Simulation matrix for automotive seat study ...................................... 76 Table 12 - Simulation matrix for BAC study ........................................................ 77 Table 13 - Simulation results for automotive seat study ..................................... 83 Table 14 - Simulation results for BAC study ....................................................... 95 Table 15 - Simulation results for upper thorax support location study .............. 107 vi Figu F igu Figu Figu F igu Figu Figu F igu Figu F igu Figu Flgu Figu Figu Flgu Figu Figu Figu Figu Figu Figu F igu FIQU F igu F‘Igu Flgu FIQu FIQu FIQU FIQU FIQU Flgu F I911 FIQu Figure 1: Figure 2: Figure 3: Figure 4: Figure 5: Figure 6: Figure 7: Figure 8: Figure 9: Figure 10: Figure 11: Figure 12: Figure 13: Figure 14: Figure 15: Figure 16: LIST OF FIGURES SAE 2—D drafting template .................................................................... 2 SAE 3-D testing manikin ....................................................................... 2 2-D JOHN model .................................................................................. 5 2-D JOHN model at 0° TLC and 40° TLC ............................................. 6 3-D JOHN model in oblique view .......................................................... 8 2-D JOHN physical articulating template .............................................. 9 2-D SAE kinetic computer model ........................................................ 11 -D JOHN kinetic computer model ..................................................... 11 2-D SAE model torso and thigh-pelvis segments ............................... 14 2-D SAE model segments with joint centers ..................................... 14 Assembled 2-D SAE kinetic computer model ................................... 16 Picture of thigh-pelvis segment COM calculation ............................. 17 Picture of torso segment COM calculation ....................................... 19 2-D SAE computer model with COM positions ................................. 21 Force vs. deflection graph for seat pan response under H-pt .......... 24 Force vs. deflection graph for seat pan response under knee ......... 25 Figure 17: 2-D SAE model with spring supports at knee and H-pt .................... 27 Figure 18: 2-D SAE model with sliders controlling motion ................................. 28 Figure 19: 2-D SAE model with mass circles on body segments ....................... 30 Figure 20: 2-D SAE model with input and output boxes .................................... 31 Figure 21: Superimposed thigh orientations for first five cases ......................... 33 Figure 22: 2-D SAE model with spring supports at thigh and H-pt .................... 34 Figure 23: 2-D JOHN thorax, lumbar and pelvis segments ............................... 44 Figure 24: 2-D JOHN torso segments with points at joint centers ..................... 44 Figure 25: 2-D JOHN legs with redesigned thigh .............................................. 46 Figure 26: 2-D JOHN torso segments with gear circles and joint centers ......... 46 Figure 27: Gear circles pinned to thorax and pelvis segments .......................... 47 Figure 28: Lumbar segment joined to thorax and pelvis segments .................... 48 Figure 29: Gear linkage added to 2-D JOHN model .......................................... 49 Figure 30: 2-D JOHN torso showing segments with joint center orientations... 51 Figure 31: Output box showing TLC and TRA ................................................... 53 Figure 32: Rope added to 2-D JOHN torso ....................................................... 54 Figure 33: COM positions on all segments except thorax ................................. 56 Figure 34: Original orientation of head, neck, arms and thorax with COM locations ........................................................................................................ 58 Figure 35: New orientation of head, neck, arms and thorax for ......................... 60 vii Figure 36: 2-D JOHN model with COM positions for all body segments ........... 62 Figure 37: Picture of the BAC prototype ............................................................ 64 Figure 38: BAC computer model ........................................................................ 66 Figure 39: LH model seat frame ........................................................................ 68 Figure 40: LH model with undeflected seat cushion .......................................... 68 Figure 41: LH model with undeflected seat back ............................................... 69 Figure 42: LH model with deflected seat cushion .............................................. 69 Figure 43: LH model with segmented seat cushion ........................................... 71 Figure 44: LH model with four seat back contact regions displayed .................. 71 Figure 45: Completed LH seat model ................................................................ 73 Figure 46: 2-D JOHN set in place over LH seat ................................................ 80 Figure 47: 2-D JOHN set in place over BAC ..................................................... 81 Figure 48: LH seat with 23° frame angle, 0 mm lumbar prominence ................. 84 Figure 49: LH seat with 23° frame angle, 12.5 mm lumbar prominence ............ 85 Figure 50: LH seat with 23° frame angle, 25 mm lumbar prominence ............... 86 Figure 51: LH seat with 28° frame angle, 0 mm lumbar prominence ................. 87 Figure 52: LH seat with 28° frame angle, 12.5 mm lumbar prominence ............ 88 Figure 53: LH seat with 28° frame angle, 25 mm lumbar prominence ............... 89 Figure 54: LH seat with 33° frame angle, 0 mm lumbar prominence ................. 90 Figure 55: LH seat with 33° frame angle, 12.5 mm lumbar prominence ............ 91 Figure 56: LH seat with 33° frame angle, 25 mm lumbar prominence ............... 92 Figure 57: Graph plotting TRA vs. TLC at constant frame angle for LH simulations .................................................................................................... 93 Figure 58: BAC set for 23° TRA, 0° TLC ........................................................... 96 Figure 59: BAC set for 23° TRA, 20° TLC ......................................................... 97 Figure 60: BAC set for 23° TRA, 40° TLC ......................................................... 98 Figure 61: BAC set for 28° TRA, 0° TLC ........................................................... 99 Figure 62: BAC set for 28° TRA, 20° TLC ....................................................... 100 Figure 63: BAC set for 28° TRA, 40° TLC ....................................................... 101 Figure 64: BAC set for 33° TRA, 0° TLC ......................................................... 102 Figure 65: BAC set for 33° TRA, 20° TLC ....................................................... 103 Figure 66: BAC set for 33° TRA, 40° TLC ....................................................... 104 Figure 67: Graph plotting TRA vs. TLC at constant recline bar angle for BAC ' simulations .................................................................................................. 105 Figure 68: LH seat with upper thorax support at 0 mm displacement .............. 108 Figure 69: LH seat with upper thorax support at 10 mm displacement ............ 109 Figure 70: LH seat with upper thorax support at 20 mm displacement ............ 110 Figure 71: LH seat with upper thorax support at 30 mm displacement ............ 111 Figure 72: Upper thorax location results with LH seat results ......................... 112 viii spa year a m. p09 seat OCCu conk andc dIriIer Spec” INTRODUCTION _1_._1_ BACKGROUND Locating the position of seated occupants within the automotive interior space has been an important design goal in the automotive industry for over 40 years. Automobile and seat manufacturers rely on occupant positioning data for a number of reasons; among them are vision, controls reach, and restraint position. One of the most important issues is comfort. Comfort design for seating relies very heavily on accurate knowledge of the location of the occupants in an auto seat. This information is used to determine seat back contour, lumbar support location and many other factors that affect the posture and comfort of the occupant. Since the early 1960’s, the Society of Automotive Engineers (SAE) two- dimensional (2-D) drafting template and three-dimensional (3—D) testing manikin specified in SAE standard J826 [1] have been the main tools used in the design and development of interior packaging and automotive seating (Figures 1 and 2). Though originally designed only for placing an occupant within an automotive interior, the SAE 2-D drafting template and 3-D manikin have been extensively used to design seat shapes and thereby affect the posture and comfort of seated occupants for the past three decades [2]. Figure 2: SAE 3-D testing manikin 2 bo Ih. jot, the 59C aUIOn The SAE drafting template and testing manikin are comprised of the same body segments. They have a foot, a shank or lower leg segment, a combined thigh-pelvis segment, and a combined lumbar-thorax or torso segment; the manikin has two feet and two shanks These segments can rotate about the hip joint, which is referred to as the H-point, the knee joint and ankle joint. However, the major drawback of the SAE J826 tools are that the torso and thigh-pelvis sections only articulate at the H-point so that, unlike human motion, the SAE tools do not have the capability to represent a change in lumbar curvature. In addition, the posture that the torso segment represents is a slumped posture, with a flat back in the lumbar region. Due to these limitations, the manikin is unable to fit in many automotive seats with large amounts lumbar prominence. If the 3-D testing manikin is placed in an automotive seat and the thigh-pelvis segment placed firmly against the seat back, the torso is unable to move from a fully forward position to rotate about the H—point and come into contact with the seat back without contacting the lumbar area. If the top of the manikin torso is then forced back against the seat, the torso segment pivots about the lumbar area and the thigh-pelvis segment shifts forward in the seat. In sum, the posture and articulations of the SAE tools are not representative of how the torsos of people actually move with variations in lumbar curvature In recent years, biomechanical research at Michigan State University (MSU) has been directed at developing better human body models for automotive seat design and evaluation [3]. The main thrust of the work at MSU he? re; male This Sys‘ rela LUn Spit 00C Re: has been to provide greater comfort for the seated occupant by improving the representation of human torso shape and posture with the introduction of lumbar curvature as a movement factor. With this representation of lumbar curvature, the human body models developed at MSU also represent more body segments than the SAE tools. Unlike the combined thigh-pelvis segment and torso segment of the SAE tools, the MSU models separately represent the thigh, pelvic, lumbar and thoracic segments. The movement and posture representation of the MSU models are more accurately representative of the human body. Haas [4] developed a model of human torso motion for an average size male based on the relative movement between the thorax and pelvis (Figure 3). This model was named JOHN to recognize the support of the Automotive Systems Group of Johnson Controls, Inc. Haas selected a one-to-one relationship of motion between the pelvis and thorax to represent human torso articulation from a slumped to erect postures. For example, a pelvis rotation of 5° corresponds to a thorax counter-rotation of 5°, for a total change in posture of 10°. This rotation of the thorax relative to the pelvis was defined as Total Lumbar Curvature (TLC). The zero reference (0°) for TLC is a straight lumbar spine, with the angular orientation of the pelvis and thorax based on the seated occupant posture defined in a study by the University of Michigan Transportation Research Institute (UMTRI) [5,6]. Figure 4 shows the JOHN model moving from a TLC of 0° to 40°. The other measures defining the position of JOHN are Torso Figure 3: 2-D JOHN model Figure 4: 2-D JOHN model at 0° TLC and 40° TLC 6 Re bot: thor (L51 . pelv kIDEr this I Dom DOStL Recline Angle (TRA) and the Hip Joint Center (HJC). Torso Recline Angle is defined as the angle between vertical and a line passing through the top and bottom lumbar joint centers. These two lumbar joint centers are the twelfth thoracic/first lumbar vertebrae joint (T12IL1) and fifth lumbar/first sacral joint (L5/S1), respectively. The HJC is the location of the femur insertion into the pelvis. Boughner [7] expanded on the work of Haas and developed a three- dimensional solid model of the human skeletal and muscle geometry for the averaged sized male (JOHN), seen in Figure 5. In addition, 3-D models were created to represent a small female, called JANE, and a large male, named JERRY [3]. From Boughner's work, Bush [8] developed a 2-D articulating template which simplified the JOHN model lumbar motion. By placing gears of equal size at the top and bottom lumbar joints and connecting them by a chain loop with a twist, the relative motion between the pelvis and thorax was physically represented in template form (Figure 6). Bush also developed back contours for the average man by adding flesh thickness to Boughner’s 3-D JOHN model of the skeletal and muscle geometry. The previous work at MSU concentrated on modeling just the shape and kinematics, or geometry and motion, of the human body in seated postures. For this thesis, two computer models were developed that were kinetic, predicting both the motion and forces acting on the body, while continuing to represent the posture descriptors developed for JOHN. Figure 5: 3-D JOHN model in oblique view Figure 6: 2-D JOHN physical articulating template ma hur occ wer pro: poss joint The first model, a 2-D representation of the SAE 3-D testing manikin (Figure 7), simulates the forces and displacements of the SAE 3-D testing manikin in an automotive seat; the second, a 2-D version of the 3-D JOHN human body model (Figure 8), is used to simulate the possible postures of an occupant interacting with a seat. The 2-D SAE and 2-D JOHN computer models were developed with the aid of Working Model”, a commercial software product, that allows rapid prototyping and design of mechanical systems. It is possible to constrain the model bodies with elements such as pin and rigid joints, gears, and springs, to help simulate mechanisms. The development of these models represents a step forward in understanding and modeling the force-posture relationship of seated humans in automotive seats. A major design and development goal of seat manufacturers has been to position the seated occupant in the seat and vehicle according to the vehicle manufacturer specifications. This positioning has been done since the 1960’s through the use of the SAE J826 tools and will be done in the future with the next generation manikin, currently being developed by MSU and UMTRI in a project titled Automobile Seat Package Evaluation and Comparison Tool (ASPECT). The manufacturers position the occupants and design the seat using the SAE 2-D drafting template. After design, they build a prototype and test the seat using the SAE 3-D testing manikin to determine if the prototype places the manikin in the design position. Other tests are performed with human subjects for subjective response to the comfort of the seat. This begins an 10 Figure 7: 2-D SAE kinetic computer model Figure 8: 2-D JOHN kinetic computer model 11 Re OK de~ tor UI SL ‘ Dr dd forthE findinc iterative cycle of re-design and further testing until the seat is declared ready for production, as much as two years and numerous prototypes later. The development of the kinetic 2-D SAE and JOHN computer models provide a way to relate the measurable data, obtained with the manikin and people through product evaluation, to the design tools. These models will allow the designers to predict the interaction between the person and manikin and the seat in the design stage, before prototyping, saving both time and money. 1_._2_ OBJECTIVES The two objectives of this study were to: 1) Develop the 2-D SAE kinetic computer model and simulate experimental data collected using the SAE 3-D testing manikin to further understand the effect of the seat cushion system on the distribution of forces supporting the manikin. 2) Develop the 2-D JOHN kinetic computer model and undertake a comparative study between a standard automotive seat and an articulating prototype seat using the 2-D JOHN model in order to study the effect of I different seat designs on the final posture of the model. This thesis is organized to describe the methods, results and discussion for these two objectives. The final section is a conclusion that summarizes the findings and presents recommendations for future work. 12 uan. the 2 John SBgm Beca knot] Was ii the a] tempit Mode thigh‘l 2-D SAE KINETIC COMPUTER MODEL DEVELOPMENT a METHODS AND MATERIALS 2.1.1 2-D SAE computer model const_r_uction The 2-D SAE computer model was developed and used to simulate experimental data collected by Hubbard et. al. [9] on automotive seat cushions using the SAE 3-D testing manikin torso and thigh-pelvis segments. To construct the 2-D SAE computer model, existing CAD computer files of the 2-D drafting template were obtained from the Automotive Systems Group of Johnson Controls, Inc. The main body segments, the torso and thigh-pelvis segments, were imported into the Working ModelTM software (Figure 9). Because the Hubbard experiment did not utilize the legs, they were not imported into the software. After importing the SAE body segments into the simulation, the next step was to assemble the model. The body segment joint locations were found with the aid of measurements taken from an SAE 3—D testing manikin, a 2-D drafting template, and the CAD computer files of the 2-D drafting template. ln Working Model”, points were placed on the torso segment at the H-point and on the thigh-pelvis segment at the H-point and knee joint (see Figure 10). Once the points had been located on the segments, the two segments were then 13 Thigh-pelvis segment Torso segment Figure 9: 2-D SAE model torso and thigh-pelvis segments Knee Joint Thigh-pelvis segment H-pt Torso segment Figure 10: 2-D SAE model segments with joint centers 14 as the segr the( thetl cahb Cakm inthé Of the IOIOC segn] then, Wasr Inters thigh knee. toga, assembled to form the 2-D SAE computer model (Figure 11). 2.1.2 Locating the centers of mass for the thorax and thigh-pelvis segments The next step in developing the 2-D SAE computer model was to assign the mass and center of mass (COM) locations to the torso and thigh-pelvis segments. The SAE 3-D testing manikin was used to determine the location of the COM for each segment. The torso segment of the SAE 3-D testing manikin was separated from the thigh-pelvis segment at the H-pt axis. Each segment was then attached to a calibrated load cell and hung from the ceiling. The mass of each segment was calculated from the load cell readings and assigned to the appropriate segment in the model. The mass of the thigh-pelvis segment was 10.07 kg and the mass of the torso segment was 9.09 kg. To find the COM of the torso and thigh-pelvis segments, it was necessary to locate the intersection of two lines extended from balancing points of the segments. To determine the first line, a thin rod was attached to the floor and then each segment was placed on top of the rod and balanced. A vertical line was marked upward on each segment from the balance rod. To find an intersecting line, each segment was suspended from the ceiling by a strap. The thigh-pelvis segment hung from the ceiling by a strap that was attached to the knee joint bar. Two pieces of string were tied to the outer ends of a thin metal rod and then onto the knee joint bar (Figure 12). The strings and rod 15 Figure 11: Assembled 2-D SAE kinetic computer model 15 Figure 12: Picture of thigh-pelvis segment COM calculation 17 COT the def mid butt kner mid- H-pc piece rod. inter: torso sI/ste that i. perpe COM of the then r. Was p. combination acted as a plumb bob, and the intersection point of the string with the line previously marked on the segment defined the COM for the thigh-pelvis segment. The COM location was measured from the H-pt along an axis system defined by the thigh line (a line from the H-pt to the knee joint) and a line in the mid-sagittal plane perpendicular to the thigh line. The COM of the thigh and buttocks segment was 152 millimeters (mm) forward of the H-pt (toward the knee) and 10 mm above the thigh line. It was assumed that the COM was in the mid-line plane of symmetry. To determine the COM of the torso segment, a strap was attached to the H-point axis and the segment was suspended from the ceiling by the strap. A piece of string was tied to each end of the H-point axis and then to a thin metal rod. This string and rod system acted as a plumb bob (Figure 13) and the intersection of the plumb bob string line with the line previously marked on the torso was defined as the COM. To measure the location of the COM, an axes system for the torso segment was defined as the torso line, (a line through H-pt that is parallel to the straight lumbar region) and a line in the mid-sagittal plane perpendicular to the torso line. Using the H-pt as the origin, the distance to the COM along those axes was 235 mm above the H-pt and 29 mm toward the back of the thorax. Once again, mid-line plane symmetry was assumed for the COM. The axes described above for the torso and thigh-pelvis segments were then re-created on the 2-D SAE computer model. In Working Model”, a point was placed as a marker on the torso and thigh-pelvis body segments where the 18 Figure 13: Picture of torso segment COM calculation 19 pos. the met stiffl cusi man SUPP proc: D tes testin loadir detail Was de Segme aXlS a,» and ke: dISIIibL, IOI‘SO ’77 positions of the physical COM were located. The COM of each segment was then modified until it was positioned at the physical COM (Figure 14). 2.1.3 Experimental data collection The 2-D SAE computer model was developed to simulate the test methods used by Hubbard, et. al. [9], in an experiment to characterize the stiffness of an automotive seat cushion. Their work involved developing a seat cushion support model and an experiment which used the SAE 3—D testing manikin to collect data. The seat cushion was modeled as two springs, one supporting the H-pt and the other supporting the knee joint. The data collection procedure determined the effective forces under the knee and H-pt of the SAE 3- D testing manikin for various loading conditions, and then used the SAE 3—D testing manikin to determine the deflections at the knee and H-pt for the same loading conditions. The methods and results of the experiment are described in detail below. In the experiment, the distribution of weight at the knee axis and H-pt axis was determined by suspending the 3-D manikin shell (torso and thigh-pelvis segments only) from the ceiling with two load cells, one connected to the knee axis and the other to the H-pt axis. The torso angle of the 3-D manikin was set and kept at 0°, relative to vertical, while the manikin was loaded. The distribution of the weight between the two load cells was recorded. Then two torso masses (circular masses with holes in the center of 3.92 kg each) were set 20 Figure 14: 2-D SAE computer model with COM positions 21 in the manikin shell on the H-pt (the masses for the 3-D testing manikin are shown in the torso and thigh-pelvis segments in Figure 2). The measurements from the load cells were recorded. Three more sets of torso masses were placed into the torso shell and the data recorded after each set until four (4) pairs of torso masses were placed in the manikin, eight (8) weights total. Next, the thigh masses (metal cylinders with holes at one end of the cylinder of 3.42 kg F each) were placed in the manikin on the thigh pins. These thigh pins are small pins set inside the thigh-pelvis segment about halfway between the knee and H- pt. The load cell measurements were recorded again. Then another pair of torso masses were placed directly in front of the thigh masses between the end of the shell and the thigh weights, and the load cell readings recorded. Finally, the two torso masses placed on the thigh were removed and placed over the ends of the knee joint bar, and the load cell readings recorded. The loading conditions and support forces at the knee and H-pt, in Nevvtons, are listed in Table 1. Table 1 - Experimental Force Results ' Loadinggondition Force at H-pt (N) Force at knee (N) 2-D template 0 0 3-D manikin shell 154 32 1 set of masses at H-pt 229 34 2 sets of masses at H-pt 305 35 3 sets of masses at H-pt 381 37 4 sets of masses at H-pt 458 36 1 set of masses on thigh . 485 78 2 sets of masses on thigh 505 125 1 set of masses at knee 485 158 22 SA WP WI anc‘ Ret SOt base posi then refer temp targg I0cat posit These loading conditions were intended to impose loads between the SAE 3-D testing manikin and the seat which ranged from less to more than the typical loading that occurs in manikin use. These conditions provide results for understanding seat response to variations in loading. The 3-D testing manikin was then placed in a 1996 Chrysler Neon seat and loaded, using the same test protocol described above and shown in Table 1. Retro-reflective targets were attached to the manikin at the knee and H-pt joints so that the positions of those joints could be recorded by a QualisysTM video- based motion measurement system as the manikin was loaded. The raw position data was tracked in the QualisysTM motion measurement software and then transferred to a spreadsheet to be analyzed. To obtain an undeflected reference position, the torso and thigh-pelvis segments of the SAE 2-D drafting template were placed in the seat with the torso angle set at 0°. Retro-reflective targets were placed on the 2-D drafting template at the knee and H-pt and the locations of the targets recorded with the motion measurement system. These position data were also analyzed and transferred to a spreadsheet. The deflection and force values at each loading condition are listed in Table 1. The results obtained by Hubbard, et. al. [9], show that the seat system responded nearly linearly at the H-pt (Figure 15) but that the seat did become incrementally softer as more load was placed on it. At the knee (Figure 16), the seat system responded nearly linearly after the thigh was loaded. Previous to that, the knee joint moved vertically upward as the H-pt was loaded. As the H-pt 23 3-: 3 cozoc=co .a> .92 .c oceok mm. Hi Lona: 8:8me can “mom .2 Emma 5:06:66 .m> coco“. ”mp 939“. .ee.§§=8 o m. o—. m? cm. 8. on. O . fl 0 0 u . o.~ 8* I 8m .. ca :— 80 I IN 03 . In Ere: a 8coLlol_ x; com i. 1% .5 .3 8m a... 8 5.82.8 .2, at s 83". (means 24 oocx .5 20:00:00 .6) 00C: .6 0050& 8F 1.. 03 .. 35. Love: 8538 can flow .2 Emma cozoocou .m> 8.0... ”me 939“. 32.5.3.8 op. mw. ON. h dt =2. 85. a 8.0... +— xi. o9 85. .a 5.8230 .2, 85. an coco“. . (memos 25 TesU end to In it... , and sunk into the seat cushion due to the load, the thigh pelvis section pivoted about a point between the H-pt and knee joint. This point worked as a lever and as a result the knee joint moved upward as the H-pt moved downward. Table 2 - Experimental force and deflection results from Hubbard, et. al. [9] Loading Force at H-pt Force at knee Deflection at Deflection at Condition (N) (N) H-pt (mm) knee (mm) 2-D template 0 0 0 0 3-D manikin 154 32 —8 -9 1 set @ H-pt 229 34 -12 -9 2 sets @ H-pt 305 35 -16.5 -8.5 3 sets @ H-pt 381 37 -22.5 -5 4 sets @ H-pt 458 36 -30 -3.5 1 5w thigh 485 78 -31 -9.5 2 setsfi thkLh 505 125 -32.5 -19 1 set @nee 485 158 -33 -22.5 2.1.4 Modeling of experimental data The 2-D SAE computer model was used to simulate the experimental results obtained by Hubbard, et. al. To replicate the static support system, one end of a spring was placed on the H-pt of the model and the other end anchored to the background of the modeling space. A second spring was used to support the knee. One end of the knee support spring was attached to the knee joint and the other end attached to the background of the modeling space (Figure 17). To assist in keeping the torso angle at 0°, the torso and thigh-pelvis segment were pinned to vertical sliders (Figure 18). This system allowed frictionless vertical motion but no horizontal motion. To correctly model the experiment, circular geometric bodies were pinned to the 2-D SAE computer 26 Figure 17: 2-D SAE model with spring supports at knee and H-pt 27 mo The fior ckc loa: shd cha anc sofla east vahi ofth defle Spnn fihgh tEmp thee; SAE; eXDBr From model to represent the placement of the masses on the SAE 3—D testing manikin. These circular bodies were placed at the H-pt, mid-thigh at the thigh pins, just in front of the thigh pin, and at the knee joint (Figure 19). The masses of these circular bodies were changed during the simulations to represent the different loading conditions shown in Table 1. To aid with the simulations, adjustable slider boxes were created in Working ModelTM to allow the user to easily make changes of the mass values. The slider boxes allow the user adjust the mass of an object by sliding a marker up and down a scale in the Working ModelTM software. In addition, the H-pt mass slider was broken into increments to allow easy modification of the number of mass pairs positioned at the H-pt. Input value boxes were created to allow the user to easily change the spring constants of the supporting springs. On-screen output boxes were also created to show the deflections at the knee joint and H-pt, and to display the force acting on each spring support (Figure 20). The 2-D SAE computer model was adjusted in Working ModelTM until the thigh angle of the model matched the thigh angle of the physical 2-D drafting template when it was placed in the Chrysler Neon seat. Gravity was applied to the simulation and then the simulations were started, in effect “dropping” the 2-D SAE model onto the spring supports. The loading conditions performed in the experimental testing and described in Table 1 were repeated for the simulations. From the results of Hubbard, et. al. [9], piecewise spring constants were computed for each loading step and are given in Table 3. These were used for 29 l Figure 19: 2-D SAE model with mass circles on body segments 30 lat Thigh mass Thorax Mass 3.901;”; Load m ---N 2nd Thigh ms 13: Knee Kass 7 .80 Figure 20: 2-D SAE model with input and output boxes 31 the H-pt and knee joint springs at each separate loading condition. The deflections and forces under the H-pt and knee were recorded after each simulation had stabilized. After performing the simulations described above, the spring at the knees was moved to a point on the thigh. This repositioning of the support was performed to more closely simulate the loading of an automotive seat by the manikin and to see if the same deflection results from the experiment could be simulated with a different support system. A geometric calculation was used to find an appropriate location for the thigh support. From the experimental data collected with the SAE 3-D manikin, it can be seen that the H-pt settled into the seat cushion due to the loading at the H-pt, and as this occurred the knee rose vertically upward relative to its initial deflected position. By plotting this data, a thigh support location was determined. Figure 21 shows the thigh orientations for the first five loading cases (shown in Table 1) superimposed over each other. The thigh support was placed at the point on the thigh about which the thigh rotated as the H-pt was loaded. A thigh support spring would behave in this way, with no deflection, if no load were added to the thighs while load was only added to the H-pt. The location of the rotation point was visually measured from Figure 21 and the spring support relocated to this position on the 2-D SAE model (Figure 22). The purpose of relocating the spring support to the thigh was to provide a more realistic seat support system for the 2-D SAE model and determine the 32 Figure 21: Superimposed thigh orientations for first five cases 33 Deflection of. Knee J. let Thigh mess Thorax Mess H-poinr. Load i I“ . . . N It’l fl ---N M 6.84 31.36 2nd Thigh Heee 18c Knee Nee: Figure 22: 2-D SAE model with spring supports at thigh and H-pt 34 support spring constants. To accomplish this, the deflections at the H-pt and knee obtained in the experiment performed by Hubbard, et. al. [9], were reproduced with the 2-D SAE computer model. To do so, the 2-D SAE model was reloaded in the manner described in Table 1 after relocating the knee spring support to the thigh in the model simulation. The support forces at the thigh and H-pt spring supports were recorded. These support forces were different from the previous simulation due to the different support locations. Using the new support force data from the H-pt support and the original experimental deflection data at the H-pt, from Hubbard, et. al. [9], the new piecewise spring constants were calculated for the H-pt. Next, the piecewise spring constants for the thigh were calculated. To accomplish this, the simulation was run again, this time using the new H-pt spring constants. At each loading condition, the spring constants for the thigh support were modified until the deflections at the knee joint matched those from the experimental data obtained by Hubbard, et. al. [9]. The spring constant values for the thigh support were recorded for each loading condition in the simulation. 2_.2_ RESULTS AND DISCUSSION The 2-D drafting template model results, with the spring supports located under the knee and H-pt, were similar to the experimental results obtained by Hubbard et. al. [9]. Using this deflection and force data, the piecewise spring constants for both the knee and H-pt were computed for each increase in 35 loading using a linear spring assumption (F =kx). The spring constant results are listed in Table 3. These spring constants are the slope of the line between each loading condition in the graphs shown in Figures 15 and 16. Table 3 - Piecewise spring constants calculated from experimental data Loading Condition Spring constant @ H-pt Spring constant @ (Nlm) knee (Nlm) 2-D template --- --—- 3-D manikin shell 19.25 3.55 1 set of masses at Hjut 19.08 3.78 2 sets of masses at H-pt 18.48 4.12 3 sets of masses at H-pt 16.93 7.40 4 sets of masses at H-pt 15.26 10.28 1 set of masses on thig:h 15.64 8.21 2 sets of masses at thigh 15.54 6.58 1 set of masses at knee 14.70 6.20 As it can be seen in Table 4, the measured and modeled results for the forces at the H-pt were within 2% or less for each loading condition. Table 5 displays the results obtained for the knee supports and shows that the modeled and measured results were within 7% or less at every loading condition. The values of the simulated support force under the H—pt compared more closely with the experimental data than the simulated support force values under the knee, but the modeled and experimental results for both supports are very close. The modeled values for the force supporting the H-pt were higher than those in the experiment. The opposite held true for the modeled force under the knee, where the modeled values were less than the experimental values. However, the AF 36 columns in Table 5 and Table 6 show that the magnitude of the change between the experimental and modeled force values is approximately the same. This indicates that there is need for refining the mass placements on the 2-D SAE model by moving a mass toward the knee to correct the discrepancy with the experimental results. The results from the 2-D SAE computer model do show that the model can be used to simulate experimental data collected on an automotive seat cushion by the SAE 3-D testing manikin with a high degree of repeatability. Table 4 - 2-D SAE model force and deflection results Loading Force at H-pt Force at knee Deflection at Deflection at Condition (N) (N) H-pt (mm) Knee (mm) 2-D template 0 0 0 0 3-D manikin 153 33 -7.9 -9.3 1 set @ H-pt 231 33 -12.1 -8.7 2 sets @ H-pt 308 34 -16.7 -8.3 3 sets @ H-pt 385 35 -22.7 -4.7 4 sets @ H-pt 463 35 -30.3 -3.4 1 set @ thigh 489 75 -31.3 -9.1 2 sets @ thigh 514 126 -33.1 -19.1 1 set @knee 486 150 -33.1 -24.2 37 Table 5 - Experimental vs. model results for force at H-pt Loading Force at l-l-pt - Force at H-pt Percent AF (N) Condition experimental - model (N) difference (N) 2-D template 0 0 --- 0 3-D manikin 154 153 0.6 -1 1 set @ H-pt 229 231 0.9 +2 2 sets @ H-pt 305 308 1.0 +3 3 sets @ H-pt 381 385 1.0 +4 4 sets @ H-pt 458 463 ' 1.0 +5 1 set @ thigh 485 489 0.8 +4 2 sets @ thigh 505 514 1.7 +9 1 set @ knee 485 486 0.2 +1 Table 6 - Experimental vs. model results for force at knee Loading Force at knee Force at knee - Percent AF (N) Condition - experimental - model (N) ‘ difference IN) , ’ ’ ' 2-D template 0 0 --- 0 3-D manikin 32 33 3.0 +1 1 set @ H-pt 34 33 3.0 -1 2 sets @ H-pt 35 34 2.8 -1 3 sets @ H-pt 37 35 5.4 -2 4 sets @ H-pt 36 35 2.8 -1 1 set @ thigh 78 75 3.8 -3 2 sets @ thigh 135 126 6.6 -9 1 set 9 knee 158 150 5.0 -8 The simulated support force results for the H-pt and thigh support system are shown in Table 7. Recall that the deflections are the same as those obtained in the experiment by Hubbard, et. al [9]. As can be expected, when the leg support is moved in from the knee to the thigh, forces acting on the H-pt and thigh supports become more evenly distributed than with the supports at the H-pt 38 (Table 5) and knee (Table 6). With the support moved from the knee to the thigh, the support force at the H-pt decreased accordingly, and, to achieve the same deflections in the model as those predicted by the experiment the piecewise spring constants under the H-pt (Table 3) decreased, or became softer. The piecewise spring constants for the H-pt and thigh support system are shown in Table 8. As it can be seen, the seat was substansially stiffer under the H-pt than under the thighs. Table 9 shows a comparison between the H-pt spring constants when modeling the seat systems with a H-pt and thigh support as compared to a H-pt and knee support. The support system using springs at the thigh and H-pt is a more realistic system for simulating the response of the manikin placed in an automotive seat, and, as Table 9 shows, after the support system had been changed, the spring constants under the H-pt decreased a substantial amount at the very light and very heavy loading conditions. Table 7 - Model force results for supports at H-pt and thigh LoadingCondition Force at H-pt (N) Force at thigh (N) 2-D template 0 0 3—D manikin shell 143 44 1 set of masses at H-pt 220 44 2 sets of masses at H-pt 298 45 3 sets of masses at H-pt 376 43 4 sets of masses at H-pt 454 40 1 set of masses at thigh 467 94 2 sets of masses at thigh 476 163 1 set of masses at knee 442 197 39 Table 8 - Model piecewise spring constants for supports at H-pt and thigh Loading Condition Spring constant @ H-pt Spring constant @ (kg/s2) thigh (kg/s”) 2-D template --- --- 3—D manikin shell 17.9 5.1 1 set of masses at H-pt 18.3 4.5 2 sets of masses at H-pt 18.1 4.2 3 sets of masses at H-pt 16.7 4.3 4 sets of masses at H-pt 15.1 4.6 1 set masses at thigh 15.1 6.5 2 sets of masses at thi h 14.6 7.3 1 set of masses at knee 13.3 7.2 Table 9 - Comparison of H-pt piecewise spring constants for support at knee vs. support at thigh Loading Condition H-pt spring H-pt spring Ak constant with thigh constant with knee (Nlm) support (Nlm) support (Nlm) 2-D template --—- --—- --- 3-D manikin shell 17.9 19.25 -1.35 1 set of masses at H-pt 18.3 19.08 -1.22 2 sets of masses at H-pt 18.1 18.48 -0.38 3 sets of masses at H-pt 16.7 16.93 -0.23 4 sets of masses at H-pt 15.1 15.26 —0.16 1 set masses at thigh 15.1 15.64 -0.54 2 sets of masses at thigh 14.6 15.54 -0.96 13.3 14.70 -1.40 1 set of masses at knee Using the 2-D SAE computer model to repeat experimental results obtained with the SAE 3-D testing manikin is of great importance to a seat designer. Currently, the seat manufacturers are able to design and construct an automotive seat with the SAE J826 tools. The development of the experimental seat testing protocol by Hubbard, et. al. [9], now enables the manufacturers to 40 measure the response of an automotive seat cushion with the SAE 3-D testing manikin. With the development of the 2-D SAE computer model, the seat manufactures are able to simulate the response of the 3-D testing manikin in an automotive seat cushion with the 2-D SAE computer model. This allows the designers to modify the variables of the seat cushion, such as stiffness, and study the effect of a change with the 2-D SAE computer model. In addition, because the SAE 3-D testing manikin simulates human hip and knee locations and torso angle, and the 2-D SAE computer model simulates the response of the 3-D manikin in a seat, designers can now use the 2-D SAE computer model to model human hip and knee locations for this particular automotive seat. In the future, with further seat testing, it will be possible to model the force/displacement response of the SAE 3—D testing manikin on the computer for different seats. This modeling ability will save the seat manufacturers time and money by allowing them to simulate different seat stiffness characteristics without having to build as many expensive prototypes. 41 2-D JOHN COMPUTER MODEL DEVELOPMENT 3.1 METHODS AND MATERIALS 3.1.1 2-D JOHN kinetic computer model construction Once the 2-D SAE computer model had been developed and shown to accurately simulate a physical experiment in an automotive seat, the next step was to develop a representation of JOHN in Working ModelTM. The goal of the 2-D kinetic JOHN model development was to provide a representation of human torso motion which could be used to predict seated human position and the forces between the model and seat. To construct the 2-D JOHN model torso, numerous contour points were selected from pre-existing 2-D CAD drawings of the pelvic, lumbar, and thoracic body segments of JOHN [8], and the coordinates of these points were entered into the Working Modelml software as the vertices of polygons (Figure 23). The bedy segment contours represented the skeletal geometry of the three segments surrounded by soft tissue. The body segment contours were adapted by Hubbard et. al. [3] based on data obtained from the University of Michigan Transportation Research Institute (UMTRI) study on seated occupant anthropometry [5,6] and a corrected pelvis location that had been used in developing the JOHN model in which the lumbar spine was lengthened by 30 42 mm. In addition, this anthropometric data was used to locate the joint centers on the thorax, lumbar and pelvis body segments in Working Model”. Points were placed on the pelvis body segment at the HJC and L5/S1 joint center, and on the thorax segment at the T12lL1 joint center. Two corresponding points for the T12IL1 and L5/S1 joint centers were placed on the lumbar segment (Figure 24). After the torso had been completed, the legs for the 2-D JOHN model were constructed. The average male legs of the SAE 2-D drafting template (composed of the thigh-pelvis, shank and foot segments) [1] were imported into Working ModelTM from a CAD computer file obtained from the Automotive Systems Group of Johnson Controls, Inc. Unlike the typical SAE practice of using the 95th percentile male leg lengths with the 50th percentile body, the SAE average male legs were used for the development of the 2-D JOHN model because the model was to be used only with seat related issues, and not packaging issues; therefore a model with consistent anthropometry was preferred. Because the 2-D JOHN model included a pelvis segment, the thigh- pelvis segment from the SAE 2-D drafting template was reshaped to represent only a thigh (Figure 25). The CAD file of the SAE 2-D drafting template contained the placement of the hip joint center and knee joint on the thigh, the knee joint on the shank, and the ankle joint on shank and foot. The location of these joint centers were confirmed with measurements from the SAE 2-D drafting template and the physical SAE 3-D testing manikin. In Working Model”, points were placed on the thigh, shank and foot segments to represent the location 43 Pelvrs Thorax Lumbar Figure 23: 2-D JOHN thorax, lumbar and pelvis segments T12/L1 'oint cenfir, \ T12/L1 joint center Hi '0' t center p] L5/Sl1 joint COMET o / Thorax Lumbar Pelvis Figure 24: 2-D JOHN torso segments with points at joint centers 44 of the joint centers. With all the body segments sized appropriately and the joint center locations correct, the JOHN model segments were assembled. To simulate the one-to-one thorax to pelvis motion of JOHN, a linkage using gears was developed. Two gear circles, with diameters of 75 mm, were created. Points were placed at the centers of the two gear circles (Figure 26). The gear circles were adjusted until points at the centers were aligned over the lumbar joint center points on the pelvis segment at the T12/L1 joint and on the thorax segment at the L5/S1 joint center. The two gear circles were rigidly pinned to the thorax and pelvis segments (Figure 27). The lumbar segment was then joined to the two gear circles at the gear circle points, creating the L5/S1 and T121L1 joints and a completed torso (Figure 28). Although in the 2-D forms the thorax, lumbar, and pelvis segments and gear circle bodies overlap, they do not collide with each other because they are layered. Any two segments that are pinned together are assumed to not collide in the Working ModelTM software. Finally, a gear linkage was placed between the two circles, changing the circle bodies into gears (Figure 29). Because the gear circles were of the same diameter, they had a 1:1 gear ratio, thereby establishing the one-to-one counter- rotation of the thorax and pelvis. In effect, the mechanism consisted of one gear resting upon the other with the teeth of the two gears intermeshed, and with the gears each pinned to a body and held a fixed distance apart. 45 Figure 25: 2—D JOHN legs with redesigned thigh Figure 26: 2-D JOHN torso segments with gear circles and joint centers 46 Figure 27: Gear circles pinned to thorax and pelvis segments 47 Figure 28: Lumbar segment joined to thorax and pelvis segments 48 Figure 29: Gear linkage added to 2-D JOHN model 49 Once the 2-D JOHN model was fully assembled, a nominal posture for the model was defined in Working Modelm, using previous data on the orientation of JOHN [4,7,8]. The positioning of JOHN was described in joint center orientations because JOHN had been constructed as an accurate skeletal model of the human body. In order to orient the thorax, lumbar and pelvis body segments of the 2-D JOHN model in Working ModelTM the same as the 2-D JOHN model described in Hubbard et. al. [3], the model was placed in a 30° TRA (Torso Recline Angle) posture, which corresponded to a line between the T12/L1 and LSIS1 joint centers being 30° right of vertical. To achieve a 0° TLC posture at 30° TRA, the thorax segment was oriented so that a line from the T121L1 joint center to the C7/T1 joint center was at 0° or vertical. This measure was determined from the 2-D articulating JOHN template developed by Bush [8]. The pelvis segment was oriented so that a line from the HJC to the L5/S1 joint center was 64° right of vertical (Figure 30). After the 2-D JOHN model body segments had been aligned, output boxes were created to continuously update the values of TLC and TRA on- screen during a simulation. As described previously, the measure of TRA was the angle, from vertical, of a line between the L5/S1 and T12/L1 joint centers. This measure corresponded to the rotational orientation of the lumbar segment in Working Model”, so that when the lumbar segment was at 45° right of vertical, the TRA of the JOHN model was also 45° right of vertical. The TLC was measured by determining the relative rotation of the thorax and pelvis to each 50 C7/T1 Joint . 00 1 0° Joi 6 0*1 Joint Hip Joint Figure 30: 2-D JOHN torso showing segments with joint center orientations 51 other, starting with the 0° TLC value described above. The values displayed were the state of each variable at each time step in the simulation run (Figure 31). After initial trial simulations had been run with the 2-D JOHN model it became apparent that another constraint was needed because the model would occasionally slump so much that it would achieve a posture beyond the range of human movement. To alleviate this problem, a rope was added between the lower rear of the thorax and upper rear of the pelvis to act as a constraint (Figure 32). This rope restricts the model from movement to a TLC less than -10°, the assumption being that people will not slump past that point due to passive muscle and ligament constraints. 3.1.2 Locating the COM’s for the 2-D JOHN model body segments When the 2-D JOHN model had been fully constructed, the mass and center of mass (COM) were assigned to each body segment. For ease in modeling a symmetrical posture was assumed in the sagittal plane, so the masses of the 2-D JOHN model thigh, shank and foot are the combined mass of the right and left body segments. In addition, because this study was focused on the effects of seat geometry, not the vehicle interior, it was decided to eliminate the steering wheel and its possible effect on the posture of the model due to the moment placed about the back when the arms were held out to grasp the wheel. An equivalent COM was calculated for the thorax, combining the masses of both 52 Body Measures 0 4’6" 9) Figure 31: Output box showing TLC and TRA 53 f 3 i " I -1 0° TLC, 0° TRA 40° TLC, 0° TRA I \\A Figure 32: Rope added to 2-D JOHN torso M - arms, thorax, head, and neck and orienting the arms straight down by the sides of the body. The COM’s for the foot, shank, thigh, pelvis and lumbar segments were found utilizing a full size drawing of the average sized male developed in the seated UMTRI study [5,6]. In order to locate the COM’s, a coordinate system was established by placing a line between the known joint locations for the foot, shank, thigh, pelvis and lumbar body segments on the drawing. Each line formed one axis and a line perpendicular to it formed the other axis. For each body segment, the distance to the center of mass was measured along those axes from one joint center, which was the origin. The same axes were duplicated on the respective body segments of the 2-D JOHN model and a point was placed on each body segment at its COM. The COM for each 2-D JOHN model body segment was then positioned according to the location defined by the UMTRI data [5,6] (Figure 33). Table 10, below, is listing of the body segment masses. Table 10 - 2-D JOHN body segment masses Body Segment Mass (kg) Thorax (combined thorax, head, neck 36.447 and both arms (including hands)) Lumbar 2.365 Pelvis 1 1 .414 Thigh 1 7.228 Shank 7.174 Foot 1.962 55 é. .. Figure 33: COM positions on all segments except thorax 56 The equivalent COM for the 2-D JOHN thorax was determined by utilizing the UMTRI drawing of the average male seated occupant with the arms straight down from the shoulders (vertical) along the sides of the body (Figure 34). The head and neck were oriented as described in the UMTRI data [5,6] on seated anthropometry. The UMTRI data was used because this was the only reference available showing the human body with the centers of mass for the body segments in a typical automotive seated position. To calculate this equivalent COM, a coordinate system was set up on an full size drawing of the average male developed by UMTRI. A coordinate system was established which placed the origin at the glenohumeral joint of the shoulder. The x and y axes of the coordinate system corresponded to the x and y axes of the UMTRI drawing. The length of the upper arm, from the shoulder joint to the elbow joint, and the length of the lower arm, were determined from the UMTRI drawing. The upper arm and lower arm (which included the hand) were redrawn in a new orientation, with the arm joint centers in a line straight down from the glenohumeral joint, oriented parallel to the y axis. The COM for the upper arm and lower arm body segments were measured using a segmental coordinate system. The upper arm COM was measured from the shoulder joint using a line between the shoulder joint and elbow joint as one axis, and a line perpendicular to that as the second axis. The same method was applied to the lower arm, using instead the elbow joint and wrist joint as one axis, a line perpendicular to that as the second axis and the 57 Figure 34: Original orientation of head, neck, arms and thorax showing COM’s 58 elbow joint as the origin. The upper and lower arm COM’s were relocated on the full sized UMTRI drawing using the new upper and lower arm segment orientations (see Figure 35). With all the segment centers of mass in place and the segments oriented correctly, the equivalent COM for the vertical arm placement was calculated. The x-direction distance of the equivalent COM from the origin, 3?, equals the sum of all the body segment moments in the x-direction, divided by the total mass. The sum of the moments in the x-direction is the mass of each segment multiplied by the distance from the origin, positive or negative, in the x-direction. The same approach was used for calculating the y-direction location of the equivalent COM, y [10]. To calculate the moments for y, the masses of the head, neck, thorax, upper arm and lower arm segments were all multiplied by the distance, in the y-direction, each segment was from the shoulder joint. The moments of all the segments were summed and divided by the total mass of all the segments in order to find the location of the equivalent COM in the y- direction. When the calculations had been completed, the equivalent COM for the thorax, which included the masses of the arms, neck, head and thorax, was found to be 8.4 mm forward (x-direction) and 111.3 mm below (y-direction) the Shoulder joint. The equivalent thorax COM was 2.6 mm rearward (x—direction) and 1 4.7 mm above (y-direction) the normal COM of the thorax. This point was Iocated and marked on the thorax segment of the average male UMTRI drawing. 59 60 _/ Thorax COM Upper arm COM Figure 35: New orientation of head, neck, arms and thorax for 2-D JOHN thorax equivalent COM calculation 60 In order to apply the equivalent center of mass to the thorax segment of the 2-D JOHN model, the location of the equivalent center of mass was measured from the UMTRI drawing relative to the C7/T1 (seventh cervical/first thoracic vertebrae) joint center along a body segment axis system that consisted of a line from the C7/T1 joint center to the T12/L1 joint center and another line perpendicular to it. When the location had been determined, the body segment axes were duplicated on the thorax of the 2-D JOHN model, a point was placed at the location of the equivalent COM of the thorax, and the model COM positioned to coincide with the calculated COM (Figure 36). Combining the masses and locations of the arms, head, and neck, with the thorax mass and COM effectively fixes the orientation of those body segments with respect to the thorax. This may have an effect on the final position of the 2-D JOHN model. However, since the distance between the equivalent COM and the normal thorax COM is only 2.6 mm in the x-direction and 14.7 mm in the y-direction, fixing the orientation of the head, neck and arms segments with respect to the thorax will likely have only a minimal effect of the final posture of the 2-D JOHN model. 3.1.3 Seat model construction After the 2-D JOHN model had been completed, it was used in a seat geometry comparison. The purpose of this study was to determine if the model could be used to differentiate between seat designs based on the postural 61 O °e’ \a’ ’ Figure 36: 2-D JOHN model with COM positions for all body segments 62 response of the model to different seat geometries. The two seats compared in this study were an automotive seat, a Chrysler LH, and a prototype articulating seat called the Biomechanically Articulating Chair (BAC) [11]. 3.1.3.1 BAC model development and construction The BAC was designed to support the body in a wide variety of postures by matching the chair motions to the motions of the human body segments, defined through the JOHN model. There are four major parts of the BAC; 1. a pelvis support that cradles the back and bottom of the pelvis and rotates under the pelvis near the ischial tuberosities, 2. a thorax support that pivots in the mid- back and allows rotation of the thorax with spinal flexion and extension, 3. a recline bar that connects the pivots of the pelvis and thoracic supports, and 4. a thigh support that pivots on the front of the pelvis support (Figure 37). Like the JOHN model, the thorax and pelvis supports move together in a one—to-one motion where a rotation of the pelvis support results in an equivalent counter rotation of the thorax support. Because the chair moves like the JOHN model, the position of the BAC can be described in terms of TLC and TRA. The coupled rotation of the thorax and pelvis supports result in a change of TLC. A seated person’s TRA can be changed by adjusting the angle of the recline bar. To develop the BAC in the Working ModelTM simulation, dimensions of the pelvis support, thorax support and recline bar were measured from a full size working prototype. The dimensions were entered into the simulation to construct 63 Picture of the BAC prototype Figure 37 four rectangles and the seat assembled with pin and rigid joints. The thigh support was not simulated because the focus of this study was on torso posture. To determine the starting relationship between the pelvis and thorax supports of the BAC, as well as the initial recline bar angle, the full size physical JOHN 2-D articulating template, developed by Bush [8], was set into the BAC prototype. The TLC of the template was set to 40° and the pelvis and thorax supports were adjusted to fit the shape of the template and support it at 40° TLC. The angle of the recline bar was then adjusted until the TRA of the JOHN template was 28°. The angles of the pelvis support, thorax support and recline bar on the BAC prototype were measured relative to the vertical. The reasoning behind the 40° TLC and 28° TRA is described later in Section 2.4. The BAC seat computer model was adjusted to fit the support structure angles measured from the BAC prototype (Figure 38). 3.1.3.2 Chgsler LH seat model development and construction To develop the model of a Chrysler LH automobile seat, a design drawing for the seat was obtained from the manufacturer, Johnson Controls, Inc. This full sized drawing was used to determine the seat geometry. First, the coordinates of the seat frame were measured from the design drawing. Fifteen points on the seat frame were measured, using the design drawing H-pt position as the origin of a coordinate system, and the x and y axis of the drawing as horizontal (forward) and vertical (upward), respectively. The measured points 65 I Thorax support - -%.. _- V Pelvis support Figure 38: BAC computer model 66 were entered into the program as vertices of a polygon body that represented the seat frame. The seat frame body was then anchored at the seat frame recliner location with a pin joint (Figure 39). The second step involved importing the undeflected seat contours to act as a visual reference. Eighteen points were measured along the undeflected centerline contour of the seat cushion. The point coordinates were used as the vertices on one side of a long, thin polygon. By doubling back over the same x- coordinate points, but with a 1 mm offset in the negative y-direction, the other side of the seat cushion polygon was created (Figure 40). The one mm thickness was chosen so that the contour was thick enough to be seen on the computer screen as a reference, but thin enough to not distract from the simulations. The seat back cushion was constructed in the same manner; sixteen points along the undeflected seat back contour line were measured from the design drawing and the point coordinates were used to create the vertices of a 1 mm thick polygon (Figure 41). Because they were made only for visual reference, both the seat cushion and seat back objects were designated to not collide with the rest of the model. The third step involved representing the deflected contour surface of the seat cushion. The contour shape used for the deflected seat cushion was a reference line from the seat design drawing that represented the interface between the deflected seat cushion and a fully loaded SAE 3-D testing manikin. The construction of the deflected contour body in Working ModelTM followed the 67 Figure 39: LH model seat frame \ \’\ Figure 40: LH model with undeflected seat cushion 68 Figure 41: LH model with undeflected seat back Figure 42: LH model with deflected seat cushion 69 same approach as the undeflected contours. Seventeen points were taken from the design drawing and these points were used to create a 1 mm thick polygon to represent the deflected contour (Figure 42). During the initial simulation runs, this contour interacted with the 2-D JOHN model. However, during the first few simulations, the running speed of the simulation was very slow. The main reason for the slow simulation speed was that the collision between the pelvis body and the deflected seat cushion body was very complex. The computer spent an excessive amount of time calculating the position of the pelvis as it collided with the deflected seat cushion body. This situation was resolved when the deflected seat cushion body was replaced by a several rectangular objects that were smaller than the deflected contour (Figure 43). To develop the multiple piece contour from the one piece contour, the one piece contour was set in place, and seven small, thin rectangles were oriented on top of it, following the contour as smoothly as possible. These rectangles were then anchored to the background and were assigned to be the surfaces with which the 2-D JOHN model collided. When the simulations were run with the multiple piece contour, the amount of time to run a simulation decreased noticeably. By replacing the one piece seat cushion body with several rectangles, the computer was able to run each simulation more quickly because it was easier for the program to predict a collision between the pelvis body segment and a smaller body with simpler geometry than a large body with very complex geometry. 70 \ Figure 43: LH model with segmented seat cushion Top of frame Mid-back wire tie-down region umbar support region Rear pelvis wire tie-down region Figure 44: LH model with four seat back contact regions displayed 71 Representing the seat back contour was the fourth and final step in the development of the automobile seat model. Based on recommendations from the seat manufacturer, it was decided to represent the seat back contour as the maximum deflection of the foam at four regions of known foam thickness. To develop the contour, the four regions of known foam thickness, the top of the seat frame, lumbar paddle, mid back wire tie down, and rear pelvis wire tie down, were located on the design drawing (Figure 44). The distance between the undeflected seat back contour and the back of the foam was measured from the seat drawing at these regions The maximum deflection into the seat was estimated as 65% of the foam thickness at these four regions. This estimation was based on the experience of Johnson Controls Inc., Automotive Systems Group. The deflections at the four regions were calculated and the new deflected points placed on the design drawing. Four rectangle bodies were created in Working ModelTM to represent the deflected cushion surface at each of the regions. These rectangle bodies were then placed appropriately in the simulation (Figure 45). After the model geometry had been completed, the material properties for all contact surfaces were specified. There was very little data on the coefficient of friction between a clothed human and a car seat. A series of simulations were run in Working Modelm using the 2—D JOHN model and the automotive seat to determine a coefficient of friction values for static and kinetic friction (lulu) that would resemble a real world situation. For all Working ModelTM simulations, Its-'- 72 _mooE “mom 1.. 6263800 “me 2:9“. .683 958.2. 9.2. $23 .mom toaaam 59E... toaasm E5852 6...... 5.03.9.2 toaazm 38.05 .25: 73 DIED. Three simulations were run with different values of l-l- These values were 0.3, 0.5, and 0.7. When I1 was set at 0.3 and 0.5, the 2-D JOHN model would occasionally slip when in contact with the seat surfaces. At 0.7, this did not happen, and as a result, 0.7 was chosen at the coefficient of friction for all contact surfaces. It was reasoned that the model should represent a person clothed in cotton pants sitting on a cloth trimmed seat rather than a person wearing silk sitting on a leather covered seat, since the cotton/cloth combination is more likely to occur in a normal driving scenario. The other material property which had an effect on the simulations was the coefficient of restitution, or coefficient of elasticity. It was reasoned that human sitting into an automotive seat would have a very low coefficient of restitution because of the nature of the two materials which come in contact. Both human flesh and foam absorb much of the energy in a collision, therefore the contact between those two surfaces would result in an inelastic collision. In addition, a goal of the simulations was to approach a static position as soon a possible in order to simulate static equilibrium. For these reasons, the coefficient of restitution was set at a value of 0.02. 3.1.4 Seat evaluation protocol With the 2-D JOHN model and the seat models completed, a simulation protocol and study conditions were developed. In order to compare the two seats, a matrix of seating possibilities was defined. To study the ability of the 74 seat models to support different postures, the effects of two seat factors on the posture of the 2-D JOHN model were simulated. The seat factors chosen were; 1. amount of lumbar curvature promoted, defined for the 2—D JOHN model as TLC, and 2. angle of the torso support, relative to vertical, defined for the 2-D JOHN model as TRA. The two variables of the Chrysler LH automotive seat that produced such posture changes were seat back recline angle and amount of lumbar prominence. The seat back recline angle was the angle between the seat frame and vertical, and the amount of lumbar prominence was defined as the distance the lumbar support was forward of its fully retracted design position. The corresponding variables for the BAC were the recline bar angle and the Total Lumbar Curvature (TLC). The recline bar angle was the angle of the recline bar with respect to vertical, and the TLC was defined as the relative position of the thorax support to the pelvis support, as measured with the JOHN articulating template. In order to study whether the Chrysler LH and BAC could support a wide range of postures, LH seat frame angles and BAC recline bar angles were chosen to support upright, reclined, and intermediate angles of torso recline. In addition, values of LH lumbar support prominence and angular orientation of the thorax support relative to the pelvis support of the BAC were selected that would support slumped, erect and intermediate postures. The variables affecting torso recline and lumbar curvature for each seat were placed on different axes of a matrix and when the possibilities were combined, the 3x3 grid resulted in nine potential seating conditions. 75 The baseline measure for developing the matrix of seating possibilities was obtained from the design drawing of the Chrysler LH seat. In design position, the seat frame angle was at 28°, which corresponded to a torso angle of 24°, and there was zero lumbar prominence. The torso angle is determined with the SAE 3-D testing manikin The seat frame angle of 28° was included in the matrix as an intermediate value, and an upright seat frame angle of 23° and reclined seat frame angle of 33° were also added. The level of lumbar prominence shown in the design drawing of the Chrysler LH seat was defined as 0 mm, corresponding to a slumped posture, and was included in the matrix. The two other values used for the matrix were a maximum value of 25 mm, for an erect posture, and an mid-range value of 12.5 mm for an intermediate posture. The amount of lumbar prominence is defined as the distance the lumbar paddle was forward of the zero position, along a line perpendicular to the seat frame. The pre-simulation matrix for the automotive seat is shown in Table 11. Table 11 - Simulation matrix for automotive seat study Lumbar Prominence 0 mm 12.5 mm 25 mm Seat frame recline angle 23° 28° 33° 76 In order to compare the seating conditions of the Chrysler LH to the BAC seat model, the measures of seat recline angle and amount of lumbar curvature supported were re-defined for the BAC. The seat recline angle for the BAC was the recline bar angle and the amount of lumbar curvature supported by the BAC was defined as the TLC promoted by the chair. Values for these variables were assigned which corresponded to upright, intermediate and reclined torso angles, and erect, intermediate and slumped torso postures. As mentioned earlier, the positions of these supports corresponding to values of TLC and TRA were selected using the BAC prototype and the 2-D articulating template. To model erect and reclined torso angles, the recline bar was set to produce 23° and 33° TRA’s, as well as an intermediate TRA of 28°. To model from a slumped to an erect posture, TLC’s of 0°, 20° and 40° were added to the matrix as seat conditions. Table 12 shows the empty matrix for the BAC. Table 12 - Simulation matrix for BAC study TLC 0° 20° 40° TRA 23° 28° 33° Once the matrix of study conditions had been completed, a simulation protocol was developed. In order to compare the LH simulation results to the BAC results, the study conditions for the BAC and LH seat simulations had to be as similar as possible. To help accomplish this, the 2-D JOHN model was 77 started in a 40° TLC posture for all simulations in the LH seat and BAC. This was done to allow the seat geometry the opportunity to support a very erect posture. Because of the forces acting on the 2-D JOHN model and because of the nature of the mechanism controlling its movement, the model moved from an erect to a slumped posture after it came into contact with the seat surfaces. If the model was placed, for example, in a 20° TLC posture and placed into a seat where the geometry of the seat would support a 30° TLC posture, the 2-D JOHN model would not be able to conform and obtain the 30° TLC posture due to gravity and the gear linkage controlling torso articulation. Therefore, the 2-D JOHN model was started at an erect, 40° TLC posture in order to allow the largest range of postural support by the seat model. In addition, for all LH seat and BAC simulations, the starting TRA of the 2- D JOHN model was modified to be the same as the torso angle promoted by the seat. This was done for the same reason stated above. By starting the model with the same recline angle as the seat frame and in an erect posture, the seat model had the opportunity to support a very erect posture, not limited by the starting condition of the 2-D JOHN model. For the LH seat simulations, initial position of the 2—D JOHN model was such that its HJC was 33 mm forward of and 6 mm above of the design H-pt position. The 2-D JOHN model was placed there to simulate the actions of a person sitting in the seat. The LH seat was designed with the SAE J826 tools, and as discussed before, the SAE 3-D testing manikin represents a flat back, or 78 rather slumped posture. It is with this posture that the design H-pt location is determined. In order to start the 2-D JOHN model in a 40° TLC, or erect, posture it was reasoned that the initial position HJC of the 2-D JOHN model would have to be farther ahead of the design H-pt. This was because when the 2-D JOHN model came into contact with the seat surface, the pelvis rolled rearward on the ischial tuberosities and the model moved from an erect to a slumped posture. As the model slumped, the HJC position moved rearward. If the model had been started in an erect posture with the HJC at the design H-pt, the response of the model would not have been realistic of a seated person. This starting position of JOHN was determined by first placing the model i at a 0° TLC with the HJC centered over the design H-pt location described on the design drawing. The bottom of the pelvis was pinned to background at the location of the ischial tuberosities. The pelvis was then rotated fonlvard 20° until its position corresponded to a 40° TLC alignment. The location of the HJC was recorded and the model started that horizontal (x) and vertical (y) distance away, 33 mm (x), 6 mm (y), from the design H-pt for every automotive model simulation (Figure 46). For the BAC simulations, the HJC of the 2-D JOHN model was positioned with the ischial tuberosities of the pelvis 5 mm above the pivot on the pelvis support (Figure 47). The design of the BAC is such that the pivot for the pelvis support is approximately in the location of the ischial tuberosities of a seated person. 79 TRA TLC A Recline Ber Angle Figure 47: 2—D JOHN set in place over BAC 81 Before the HJC of the 2-D JOHN model was positioned, the TRA of the model was adjusted to match the torso angle promoted by the seat for that simulation. Then the simulation was started. Due to the effects of gravity and the mass of the 2-D JOHN model, the 2-D JOHN model dropped into the seat, and its final posture was determined by the location of the seat supports The simulation was stopped when the 2-D JOHN model did not have a change in TLC or TRA for 20 consecutive time-steps. When the simulation was stable, the program was stopped and the posture recorded. For the Chrysler LH seat simulations, the lumbar support and seat frame recline angle were adjusted to another case in to matrix study conditions and the simulations run until all nine cases described in the matrix had been modeled. In the BAC cases, the seat support structures were modified and the simulation run again until all nine BAC cases had be completed. After the 18 simulations described above had been completed and the data analyzed, another five simulations were run in the automotive seat model. These simulations were run to study the effect of the upper thorax support on the final posture of the model. The seat configuration used for these simulations was the one that produced the greatest amount of lumbar curvature in the automotive seat The postural effect of the proximity of the upper thorax support on the 2-D JOHN model was studied by moving the upper thorax support rearward, perpendicular to the seat frame, in 10 mm intervals, until the 2-D JOHN model was no longer in contact with the upper thorax support. The thorax 82 support was moved, the simulation was run, and the TLC and TRA of the 2-D JOHN model were recorded when the model had stabilized. Then the upper thorax support was moved and the cycle repeated. 1.; RESULTS AND DISCUSSION 3.2.1 Chgsler LH results The results for the Chrysler LH automotive seat simulations can be seen in Table 13. Figures 48 - 56 show the final posture of the 2-D JOHN model for each simulation. Table 13 - Simulation results for automotive seat study Lumbar Prominence 0 mm 12.5 mm 25 mm Seat frame recline angle 23., TLC = -10° TLC = -10° TLC = -10° TRA = 25° TRA = 24° TRA = 21° 28° TLC = -2° TLC = -8° TLC = 3° TRA = 30° TRA = 29° TRA = 29° 33° TLC = -1° TLC = 5° TLC = 14° TRA = 35° TRA = 38° TRA = 38° 83 8:05an .38... EE o 6.0.5... oEg 0mm 5.2. $3 I... ”we 0.59“. // Set 8:0...an LEE... EE 99 .296. 089. 0mm 5.? 56m 1.. ”we 9:9“. 85 8:9..an .mnEa EE mm .395 9.5: emu 5.3 How I. ”on 9:9”. eeuoeee: anon 8:9..an 59:2 EE o .295 oEw... emu 5.2. .mom I. ”B 2:9... 87 00:9..an .283. SE ON? .295 oEg owm 5.3 How 1.. ”mm 9:9“. i \ 3.530: 3.6: 88 8:9..an LEE... EE mm 6.93 0E8. emu 5.3 How 1.. ”mm 9:9“. 89 8:0...an .38... EE o 6.96 9cm: 0mm 5.; 83 I. .3 9:9“. oco.nn e NNQ.O. e uo°.mn 9O 8:9..an 59E... SE 99 .298. oEmS one 5.2. How I. ”mm 229“. 91 8:9..an 59...: EE mm .295 089. 08 5.2. How I. ”on 2:9... coo.nn o unu.vu o ovm.hn consume: >00m 92 LH simulation results Mid M 38 a or 33 ‘- g 0 " 28 .. W Max +23°frame angle 0 +28°frame angle 23 " IMid +33° frame an Ie Max 18 [P f T r 1 r Jr r r I T . -15 -10 -5 0 5 10 15 20 25 30 35 40 45 ‘_' TLC '-'. Figure 57: Graph plotting TRA vs. TLC at constant frame angle for LH simulations 5;. The results from the automotive seat study, shown in Table 13, are plotted in Figure 57. The graph plots TRA vs. TLC for the different levels of lumbar prominence at constant frame angles. For viewing purposes, 0 mm of lumbar prominence is represented on the graph as 0, 12.5 mm is shown as Mid, and 25 mm of prominence is represented by Max. The results show that for the seat frame angles of 28° and 33°, the TLC of the 2-D JOHN model increased as the amount of lumbar prominence increased. At each of those seat frame angles, the 2-D JOHN model TLC was the greatest when the seat had the maximum amount of lumbar prominence. In addition, as the seat frame angle increased from 28° to 33°, the TLC also increased, represented by the rightward shift in the 33° frame angle line versus the 28° frame angle line in Figure 57. 93 The increase in TLC occurs because the center of mass of the thorax is allowed to move rearward due to the interaction with the increased lumbar prominence and more reclined seat. The TLC was greatest in the simulations with the maximum amount of lumbar prominence because the rearward shift of the thorax COM, due to the increased recline angle, was enhanced because of the early contact between lumbar segment and the lumbar support. This contact created an arching effect over the lumbar support and allowed the thorax to continue to rotate rearward, enabling the 2-D JOHN model to be supported with a higher TLC. However, in the three simulations with 23° seat frame recline angle l: (Figures 48-50), the geometry of the model and seat were such that the equivalent COM of the thorax was forward of the intersection point of the two gears controlling the lumbar motion. As the 2-D JOHN model comes into contact with the seat cushion surface, the pelvis begins to rotate rearward about the ischial tuberosities, and the thorax rotates forward due to the coupled motion of the two segments. Because there were no supports immediately behind the pelvis or bottom of the thorax to stop the rotation of those segments relative to each other, it was impossible for the model to maintain an erect posture. At a seat frame recline angle of 23° and with only a lumbar support and not pelvic and thoracic supports, the geometry on the seat and model are such that the thorax COM cannot remain rearward far enough to maintain an erect posture at all. The 23° seat frame angle plot in Figure 57 shows that the seat set up was 94 unable to support any change in the TLC of the 2-D JOHN model, represented by the vertical line, and that the TLC supported was the most slumped posture possible, -10° TLC. On further observation, the amount of TLC the 2-D JOHN model exhibits in the Chrysler LH model seems to be dependent on the lumbar prominence and seat frame recline angle. As can be seen in Figure 57, changing the lumbar prominence does not produce a very large change in TLC at a specific recline angle. A long line would indicate a wide range of TLC values supported at a constant seat frame angle, but the constant seat frame angle lines are not very long. Overall, however, by adjusting the seat frame recline angle, in addition to varying the lumbar prominence, the seat does support a range of TLC values, though none of these values supported by the Chrysler LH seat model are above 15° TLC, leaving quite a range of more erect TLC values unsupported. 3.2.2 BAC results The simulation matrix results for the BAC simulations are listed in Table 14. Figures 61 -69 describe the final posture of the 2-D JOHN model for each simulation. Table 14 - Simulation results for BAC study TLC o O O TRA 0 20 40 23° TLC = -1° TLC = 20° TLC = 39° TRA = 22° TRA = 23° TRA = 23° 28° TLC = -2° TLC = 21° TLC = 40° TRA = 27° TRA = 28° TRA = 28° 33° TLC = -2° TLC = 21 ° TLC = 39° TRA = 32° TRA = 33° TRA = 33° 95 0.._. co (m... emu .2 «mm Ocom 97 0.: .8 .5: .8 a. .3 0% .8 9.8.... . ooo.ou ouoc< hem ocuaooz e ch.mm SB 0 obmém 5:. concede: >vom 98 o# co .5.» am a. .8 0% so 28.“. o 08.: 035.. non 9:302. .. e Omb.~. 99 0.... com 69:. 0mm .8 «mm 000m 101 0.... so .5... .8 a. .3 0% so 2:9“. o ommé- o amn.an concede: zoom 102 0.... com {ah 0mm .8 “mm 9.5 H me use... coco.mmcmoc< ham oc..ooz . 2.3.3 3... . 3.23 5:. .. consume: >u0m 103 0.... oov .