摘要
ESO和SIMP是两种主流的结构拓扑优化方法,其中后者被广泛地应用在商用有限元软件(例如MSC.Nastran)的拓扑优化模块中。比较了两种算法的基本原理,并且基于ESO算法,选择Matlab和MSC.Nastran作为计算平台,开发了二者的数据接口,从而实践了一种方便易行的拓扑优化方法。通过一个典型薄壁件的算例,将该优化方法和MSC.Nastran得到的结果进行比较,证明该方法优化的结构在等强度条件下比后者轻5.1%,在等质量条件下单元最大应力比后者小13.8%,验证了该方法的可靠性和有效性。
ESO and SIMP are two mainstream methods of structural topology optimization,while the latter is considerably applied to the topology optimization module of commercial finite element packages ,e. g. MSC.Nastran. It the algorithms of both methods are compared,and based on ESO a convenient topology optimization approach is realized by selecting Matlab and MSC.Nastran as the calculation platform and developing the data interface between them. Through a typical thin-walled structure example ,the optimized outcomes of said approach are compared with its counterparts derived by MSC.Nastran. It is revealed that the optimized structure by said approach is 5.1% lighter than latter under equal-strength circumstance, while the maximum element Mises stress is 13.8% smaller than latter under equal-mass circumstance, which verifies the reliability and effectiveness of this approach.
出处
《机械设计与制造》
北大核心
2009年第10期10-12,共3页
Machinery Design & Manufacture
基金
航空基础科学基金(05B01004)
国家自然科学基金(50575008)
关键词
航空
结构优化
拓扑优化
有限元
Aerospace
Structural optimization
Topology optimization
Finite element
