摘要
本文从函数变换原理出发,提出了寻求新的广义形状优化设计变量的思想,给出了广义有限元结构形状优化设计模型,将有限元法和现代计算机几何造型技术相结合,导出了有限元一参数曲线曲面形状优化设计变换公式,并进行了灵敏度分析。本文论述表明,现有的有限元结构形状优化设计模型仅是本文广义模型的特例。
From the principle of function transformation the idea to find new general design variables of shape optimization is presented, and the correspondent general model of shape optimization by finite element method is given in this paper. A trasformation formula of optimal shape design of FEM—parameter curve and surface by combining finite element method with modern computer modelling technique and a formula of design sensitivity analysis are developed. The discussion of the paper indicates that the current model of shape optimization by finite element method is a special case of the general model in this paper.
关键词
优化设计
有限元法
数值计算
optimal design
finite element method(FEM)
numerical method
