正交各向异性孔板的材料参数识别

结合优化技术和边界元分析,针对正交各向异性孔板进行了材料参数的识别。材料参数识别的问题转化为极小化目标函数的问题,其中目标函数定义为测量位移与边界元计算相应的位移之差的平方和。采用Levenberg-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。数值算例中,首先把边界元计算正交各向异性圆孔方板位移的结果与解析解进行比较,两者符合良好;然后采用本文提出的方法识别正交各向异性圆孔方板的材料参数。数值算例表明本文提出的方法是有效的。

THE MATERIAL PARAMETER IDENTIFICATION FOR ORTHOTROPIC PLATE WITH A CIRCULAR HOLE

The present paper deals with the material parameter identification of orthotropic plate with a circular hole by the approach of integrating optimization and boundary element analysis. The material parameter identification problem is formulated into 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. In the numerical example, the displacement results calculated by the boundary element method are compared with analytical results and the agreement between them is satisfactory. The proposed algorithm is used to identify the material parameters of orthotropic plate with a circular hole. Numerical example shows that the proposed method for parameter identification is feasible and effective.