基于边界元法,本文提出了平面正交各向异性体材料参数识别算法。通过构造以测量位移与边界元计算的相应位移之差的平方和作为目标函数,采用Levenberg-Marquardt方法迭代极小化目标函数,从而把参数识别问题转化为极小化目标函数的问题。同时在识别过程中考虑了测量位移含正态分布的误差,研究测量误差对参数识别结果的影响。算例表明本文提出的参数识别方法是有效的。
A material parameter identification algorithm is proposed for plane orthotropic material bodies based on the boundary element method.The material parameter identification 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 is used to solve the minimization problem.The normal distribution error in displacement measurement is simulated to study the effects of error on the identified results.Numerical example shows that the proposed method for parameter identification is feasible and effective.