正交各向异性平面问题材料参数识别的反分析方法

An Inverse Method for the Material Parameters of Orthotropic Plane Problem

以边界元计算为基础,提出正交各向异性平面问题材料参数识别的反分析方法。通过建立以测量位移与边界元计算相应的位移之差的平方和作为目标函数,把反分析问题转化为极小化目标函数的问题。采用Lev-enberg-Marquardt方法解极小化目标函数的问题,其中灵敏度的计算是基于离散的边界元代数矩阵方程对识别材料参数的求导。数值算例表明本文提出的方法是行之有效的。

Based on the boundary element method, an inverse method is developed to identify the material parameters of orthotropic plane problem. The inverse problem is formulated as the problem of minimizing the objective function defined as a square sum of differences between the measured and calculated data on displacements. Levenberg-Marquardt method, in which sensitivity analysis is based on the differentiation of the discretized algebraic boundary element matrix equations, is used to solve the minimization problem. Numerical example shows that the proposed method for parameter identification is effective.