摘要
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.
基金
国家自然科学基金
关键词
薄板
结构力学
最优设计
稳定性
optimal design
thin plate/shakedown
variable loading
