Recent advancements in additive manufacturing make it possible to design structures with complex and spatially varying microstructures, sometimes referred to as Structures of Structures (SoS). The detailed description of these systems can easily exceed available memory capacity, making it difficult to perform modeling, analysis and optimization using existing approaches. A multilevel strategy can be employed to reduce the required memory and computational expense of the analysis and design process.In the current work, a multilevel optimization technique is developed that attempts to simplify the optimization of SoS. The target application is a lattice in which each system level lattice member is itself composed of a lattice microstructure. A generative geometry representation is used based on the research code "LatticeMaker," and various multi-level optimization representations are explored for structural and structural-thermal optimization problems.
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