Cascading — an approach to robust material optimization
Cascading — an approach to robust material optimization
复制标题
级联——一种稳健的材料优化方法
DOI：
10.1016/s0045-7949(99)00173-x
复制
发表时间：
2000
影响因子：
4.7
通讯作者：
A. Nemirovski
中科院分区：
文献类型：
--
作者：
M. Kočvara;J. Zowe;A. Nemirovski
本文讨论结构优化的一个中心问题：在给定的外载荷作用下，如何设计占据某一固定区域的最大刚度结构。设计变量是结构各点的材料属性。此外，我们要求结构能够承受小的偶然力，这是不知道的先验。我们引入了稳健设计的概念，并提出了一种称为级联的解决方案技术。这种技术使我们能够以相对较小的计算工作量找到鲁棒设计的良好近似。算例表明了该方法的有效性和鲁棒结构设计本身的重要性。
This paper deals with a central question of structural optimization: design of the stiffest structure occupying some fixed domain which is capable of carrying a given set of external loads. The design variables are the material properties at each point of the structure. In addition, we require that the structure can withstand small incidental forces which are not known a priori. We introduce the notion of robust design and propose a solution technique called cascading. This technique enables us to find a good approximation of the robust design with a relatively small computational effort. Examples demonstrate efficiency of this technique and importance of the robust structural design itself.