薄板结构的安定优化设计

Shakedown optimumd design of plate structures

本文通过对薄板的Ｂ样条函数插值及结构中残余应力场的温度参数模拟，研究了薄板安定分析的样条有限元列式，在分析结构安定分析的数学规划列式的基础上，解决了薄板结构在给定可变载荷作用下的安定最小厚度设计问题。由于温度参数的引用，使得研究的问题的自由度大幅度减少。算例表明本文所提出的方法及所编程序的可行和有效。

In this paper,B spline function is used to interpolate strucures,and the self-equi-librated residual generalized stress fields are simulated by the temperature parameters. Thespline FEM formulation of thin plate′s shakedown is studied, and the problem of the opti-mum shakedown design of plates under given variable loading is solved on the basis of analy-sis of shakedown formulation of mathematical program. The degrees of freedom of the prob-lem studied are much decreased for the use of temperature constants. The program coded andcomputing examples show the correctness and effectivess of the proposed method.