A SHAPE OPTIMIZATION APPROACH BASED ON NATURAL DESIGN VARIABLES AND SHAPE FUNCTIONS

被引：102

作者：

BELEGUNDU, AD ^{[1
]}

RAJAN, SD ^{[1
]}

机构：

[1] ARIZONA STATE UNIV,DEPT CIVIL ENGN,TEMPE,AZ 85287

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1988年 / 66卷 / 01期

关键词：

ELASTICITY - Calculations - MATHEMATICAL TECHNIQUES - Finite Element Method;

D O I：

10.1016/0045-7825(88)90061-8

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A set of natural design variables is chosen as the design variables defining the shape. Specifically, the design variables are the magnitudes of a set of ficitious loads applied on the structure. The displacements produced by these fictitious loads, or natural shape functions, are added onto the initial mesh to obtain the new shape. Consequently, a linear relationship is established between changes in grid point locations and design variables through a finite element analysis. Plane elasticity problems are solved using the new approach. The quality of the finite element meshes produced and other salient features of the shape optimal design problem are discussed.

引用

页码：87 / 106

页数：20

共 26 条

[1] METHODS OF DESIGN SENSITIVITY ANALYSIS IN STRUCTURAL OPTIMIZATION [J].