摘要
建立多工况应力约束条件下连续体结构拓扑优化的数学模型 ,给出求解方法。采用包络法处理大量的应力约束 ,用改进的满应力法进行求解 ,方法简单、实用。提出的分层优化技术能使最优结构更为清晰。分层优化方法的基本思想是按载荷大小分为几个层次 ,后面层次的拓扑优化以前面层次得到的最优拓扑为基础 ,通过逐层优化 ,最终得到最优结构。分层优化时主要考虑属于本层载荷的影响 ,避免大小载荷混在一起 ,最优拓扑模糊不清的问题。为解决各层优化单元厚度相差太大 ,易造成结构刚度矩阵奇异的问题 ,提出对相应参数的调整方法。
The mathematical model of topology optimization design of the continuum structure for multiple loading conditions with stress constraints are presented in the paper, and the solving method is also given.The problem is solved by modified fully stress method combined with a bundle method to deal with plentiful stress constraints, both the method are simple and practical. The multilevel optimization technique is proposed in this paper to make clearer optimal topology of structures. The main idea of the multilevel optimization method is to partition the load cases into several levels according to their magnitude. In every level, we mainly consider the influence of the loads belonged to this level. In this way, we avoid the blending of various loads and the dim topological structure. To solve the problem that the single structure stiffness matrix caused by the too big dispersion of element thickness between different levels, it proposed the adjustive method of relevant parameters. Numeral computations show that the method is effective and efficient.
出处
《机械强度》
CAS
CSCD
北大核心
2003年第1期55-57,75,共4页
Journal of Mechanical Strength
基金
山东省自然科学基金资助项目 (Y96F0 30 85)~~
关键词
结构拓扑优化
应力约束
连续体结构
满应力法
分层优化技术
Structure topology optimization
Stress constraints
Continuum structure
Fully stress method
Multilevel optimization technique
