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基于四边形单元的设计相关压力驱动柔顺机构的鲁棒拓扑优化比较研究

A Comparative Study on Robust Topology Optimization of Design-Dependent Pressure-Actuated Compliant Mechanisms with Quadrilateral Elements

Swagatam Islam Sarkar, Prabhat Kumar

arXiv 2609.34341首次发表:更新:

发表机构

Indian Institute of Technology Hyderabad(印度理工学院海德拉巴分校)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文比较研究不同四边形单元(Q4、Q8、Q9)对压力驱动柔顺机构鲁棒拓扑优化的影响,采用最小-最大模型和输出弹簧法,分别施加体积和应变能约束,通过移动渐近线法优化反向器与夹持器,揭示单元选择对拓扑和性能的作用。

AI 中文摘要

本文对采用涉及设计相关压力载荷的鲁棒拓扑优化技术生成的柔顺机构进行了比较研究。设计域使用标准和高阶四边形单元进行参数化。同时考虑了侵蚀构型和蓝图构型。采用最小-最大优化模型结合输出弹簧方法来极值化机构的输出位移。分别对蓝图设计和侵蚀设计施加体积约束和应变能约束。优化过程使用移动渐近线方法执行。数值实验使用Q4、Q8和Q9单元对压力驱动的反向器和夹持器机构进行优化,并对结果进行比较。研究强调了四边形单元选择如何影响最终拓扑结构和性能特征。

英文摘要

This paper presents a comparative study of compliant mechanisms generated using a robust topology optimization technique involving design-dependent pressure loads. Design domains are parameterized using standard and higher-order quadrilateral elements. Both eroded and blueprint configurations are considered. A min-max optimization model combined with an output-spring method is employed to extremize the mechanisms' output displacements. A volume and a strain energy constraint are applied to the blueprint and the eroded designs, respectively. The optimization process is executed using the method of moving asymptotes. Numerical experiments are performed to optimize the pressure-actuated inverter and gripper mechanisms using Q4, Q8, and Q9 elements, and the results are compared. The research highlights how quadrilateral element selection influences both the resulting topologies and performance characteristics.

论文原文

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