基于并行策略的热固耦合多材料柔顺机构设计  

Design of Thermal-Mechanical Coupling Multiple-Material Compliant Mechanisms Based on Parallel Strategy

作　　者：张宪民[1] 胡凯[1] 王念峰[1] 郭浩[1] 

机构地区：[1]华南理工大学机械与汽车工程学院∥广东省精密装备与制造技术重点实验室,广东广州510640

出　　处：《华南理工大学学报（自然科学版）》2016年第10期22-29,共8页Journal of South China University of Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(51205134,51575187,91223201);广州市产学研协同创新重大专项(2014Y2-00217);广东省自然科学基金资助项目(S2013030013355);黄埔区重大专项(20150000661);华南理工大学中央高校基本科研业务费专项资金资助项目(2015ZZ007)~~

摘　　要：热效应在结构设计领域受到广泛的重视,文中利用拓扑优化的方法,对热驱动柔顺机构设计进行了研究,提出了相应的基于并行策略的求解模型.该模型的核心是将一个复杂的多材料热固耦合问题离散成为单材料热固耦合子问题,然后对这些子问题并行求解,并根据整体目标的需要,对所有子问题的解进行调整以得到原始问题的解.对所有的单材料子问题,基于SIMP(固体各向同性材料惩罚模型)材料插值模型,建立了热固耦合拓扑优化求解模型,然后利用顺序耦合方法进行热-结构多物理场耦合分析,独立并行求解.该模型在理论和实践上都比较简单,可以处理任意多种材料,并且可以避免零碎的拓扑结构,因而有利于制造.文中还通过数值算例说明了此方法的有效性.In the field of structural d on the topology optimization method, esign, thermal effects have been extensively discussed. In this paper, based the design of the thermally-driven compliant mechanism is investigated, and a corresponding parallel penalization model is constructed. The core of this model is to decompose a complex multi- ple-material thermal-mechanical coupling problem into a series of single-material thermal-mechanical coupling sub- problems. Then, the sub-problems are solved concurrently, and according to the requirement of the overall system, the solutions to all the sub-problems are coordinated so as to achieve the solution to the original problem. For all the sub-problems, the thermal-mechanical coupling optimization models are constructed based on the solid isotropic ma- terial with penalization （SIMP） model, and then the sequential coupling method is adopted to conduct the thermal- structural coupling physics analysis, thus achieving concurrent and independent solutions. The constructed model is simple in concept and practice and can be used to handle an arbitrable number of candidate materials. In addition, it can avoid fragile topologies and is, therefore, helpful in manufacturing. Finally, the effectiveness of the construc- ted model is verified by several numerical examples.

关 键 词：拓扑优化 柔顺机构 热固耦合 敏度分析 

分 类 号：TB112[理学—数学]