摘要
本文是文[1]的继续.文[1]提出了杆件系统的结构拓扑变化理论和拓扑变化法本文将这一理论和方法推进到连续体有限元体系;且在此基础上揭示出有限元体系的一个新性质,称为基本位移之梯度的正交性定理,从而给出一套设计敏度的显式表达式,可直接用于计算.
This paper is the continuation of the author's previous work.It extends the theory and method ofstructural topological variations presented therein from skeletal structures to the finite element systems incon(?)nua.Besides,based on this theory it brings to light a new property of finite element systems,stated asthe gradient orthogonality theorem of basic displacements,and hence,supplies a set of explicitformulations for design sensitivity analysis,which can be directly used in computations.
出处
《固体力学学报》
CAS
CSCD
北大核心
1993年第2期124-136,共13页
Chinese Journal of Solid Mechanics
基金
国家自然科学基金
关键词
固体力学
有限元
结构
拓扑
solid mechanics
finite element
optimum design
structural topology
sensitivity analysis
