关键词: 工程力学, 结构尺寸参数优化, DFP方法, 拉格朗日乘子法, 海森矩阵

Abstract: To avoid calculating Hessian matrix when the object function and the constraint functions are approximated by the secondorder taylor expansion, a firstorder method called Davidon and FletcherPowell method (DFP method) was used to obtain the inversion of the Hessian matrix, which completely eliminates the need for evaluating the secondorder derivatives and performing matrix inversion. The presented method was implemented for the optimization of a cantilever plate with stiffeners. The caluculation results show that DFP method is effective for structural optimization.

Key words: engineering mechanics, optimization on structural parameters, DFP method, Lagrange function, Hessian matrix