结构弹塑性响应对形状设计变量的灵敏度分析

Sensitivity analysis of shape design variables on structural elastoplastic response

利用传统半解析法,分析了结构弹塑性响应对形状设计变量的灵敏度,弹塑性应力的调整采用切向预测径向返回机制,灵敏度分析的相关公式均是基于等参单元。应用于一个平面应力问题,算例结果表明,本方法独立于设计变量的摄动参数设置及网格的划分形式。

The sensitivity of shape design variables on structmal elastoplastic response is analyzed through the semi-analytical method. The elastoplastic stress is adjusted by the method of tangent forecasting and radial return. The formulas of the sensitivity analysis are based on isoparametric finite elements. Examples of plane stresses prove that the results of the method are independent on either the perturbation of the design variables or the FE mesh refinement among other factors.