摘要
该文提出了一种结构拓扑与内嵌构件布局联合优化的新颖方法。这种方法突出的特点是利用水平集函数隐式地描述不规则的构件形状,因此可以非常方便地处理构件之间的互不覆盖约束条件。数值算例表明:较之文献中已有的方法,该文算法能够以更小的计算量有效地实现结构拓扑与内嵌构件布局的联合优化。
A novel numerical approach for the simultaneous optimization of structural topology and the layout of embedding structural components is proposed. The distinctive feature of this approach is that a level set function is employed to describe the arbitrary irregular shape of embedding structural components implicitly. With the use of this description, the non-overlap constraints for embedding structural components can be dealt with in a convenient way. Numerical examples demonstrated that the comparison with the existing methods in the literature, the simultaneous optimization of the structural topology and components layout can be achieved via the present approach with much less computational effort.
出处
《工程力学》
EI
CSCD
北大核心
2013年第7期22-27,共6页
Engineering Mechanics
基金
国家自然科学基金项目(10925209
10932003
91216201)
973计划项目(2010CB832703)
关键词
拓扑优化
布局优化
水平集
惩罚函数法
灵敏度分析
topology optimization
layout optimization
level set
SIMP
sensitivity analysis
