智能结构设计的灵敏度分析

由直接求导法导出特征值、特征向量和响应的一阶导数公式，进而将其表示成有限元摄动形式，建立了智能结构设计灵敏度分析的有限元摄动法．此方法既可避免直接对质量阵和刚度阵求导，使质量和刚度阵不能表示成设计变量显式时，仍能很方便地进行灵敏度分析，又可直接在大型结构分析程序上实施．文中给出的算例说明了方法的有效性及应用价值．

The Sensitivity Analysis of the Design of Intelligent Structures

The present paper provides a new method for the sensitivity analysis of the design of intelli-gent structures. First, the first order derivative formulas of eigenmodes and responses were derived-Further, they were expressed as finite element perturbation forms. Finally, a method for analyzing the sensitivity the design of intelligent structures was developed. The present method can not only analyse conveniently design sensitivity when the stiffness and mass are not expressed as explicit forms but also be directly implemented in the program of the analysis of large scale structures. A numerlcal example was given to demonstrate the validity of the present method.