大型板结构的一种优化准则法

Dimension Optimization for a Structure with Large-Size Plates

提出一种适合于大型板结构尺寸优化新方法。是以板结构有限元矩阵方程和Ｋ－Ｔ条件为基础推导出来的，属于一种结构离散优化准则法。将应力约束按满应力准则视为一种尺寸限约束，由于起作用的位移约束数目往往较少，其相应的拉格朗日乘子较易计算，数值实验表明，本方法迭代次数少，且与设计变量数目无关，特别适合于大型板结构的优化问题。

A new approachto the dimension Optimization for a structure with large-size plates,thediscretized optimality criteria method is based on the matrix equation in the finite elementanalysis of a plate structure and the Kuhn-Tucker optimum conditions. In this method, thestress constraints are treated as size gauge constraints according to the full stress criterion.As there are only a few useful displacement constraints ,the Lagrange multiplifers can beeasily evaluated. A numerical example shows that the iterative process required is short andindependent of the number of design variables.