使用SIMP、DMO和gSF的多材料拓扑优化：基于蜂窝镶嵌的比较研究
Multimaterial Topology Optimization using SIMP, DMO, and gSF: A comparative study with Honeycomb tessellations
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中文总结 AI 辅助
本文比较了扩展SIMP、DMO和gSF三种多材料拓扑优化方法，采用六边形蜂窝网格以减少网格效应，在给定体积分数下最小化柔度，并评估了材料分布、性能、收敛和界面特征。
中文摘要 AI 辅助
本文对使用扩展SIMP、离散材料优化（DMO）和广义形状函数（gSF）方法的多材料拓扑优化（MMTO）进行了比较研究。设计域采用六边形单元进行参数化。每个单元有六个相邻单元，从而改善了单元连通性，并产生相对均匀的局部网格结构。与传统三角形和四边形离散化相比，这一特性减少了网格相关效应对优化设计的影响。在规定的体积分数下最小化结构柔度。优化采用移动渐近线方法进行。所得到的优化拓扑在材料分布、结构性能、收敛行为以及所得材料界面的特征方面进行了比较。该比较研究为扩展SIMP、DMO和gSF插值方案在MMTO中的工作原理和性能提供了见解。
英文摘要
This paper presents a comparative study of multimaterial topology optimization (MMTO) using the extended SIMP, Discrete Ma- terial Optimization (DMO), and generalized shape functions (gSF) ap- proaches. The design domain is parametrized using hexagonal elements. Each element has six neighboring elements, thereby improving element connectivity and yielding a relatively uniform local mesh structure. This characteristic reduces mesh-related effects on the optimized designs com- pared with conventional triangular and quadrilateral discretizations. Struc- tural compliance is minimized at the prescribed volume fractions. The optimization is performed using the method of moving asymptotes. The resulting optimized topologies are compared in terms of material distri- bution, structural performance, convergence behavior, and the character- istics of the obtained material interfaces. The comparative investigation provides insights into the working principles and performance of the ex- tended SIMP, DMO, and gSF interpolation schemes for MMTO.
