摘要
基于静态位移的测量和边界元分析,性能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的位移之差的平方和。求解此优化问题采用Levenberg-Marquardt算法。通过该算法适定性的分析,提出了考虑诸多因素综合影响的优化测点布置的方法。该方法的有效性得到了数值算例的验证,算例结果表明测点布置对正交各向异性复合材料孔板性能参数识别的结果有较大的影响。提出的方法可以找出测点的最优布置,得到令人满意的识别结果。
Based on the static displacement measurement and the boundary element analysis, the material parameter identification problem is formulated as the problem of minimizing the objective function defined as the square sum of differences between the measured displacement and the calculated displacement by the boundary element method. The minimization problem is solved by using Levenberg-Marquardt algorithm. From the analysis of the well-posedness of this algorithm, a method is proposed for the optimal measurement placement, which is determined by the synthetic influence of many factors. Numerical example is given to illustrate the validity of the proposed method. The numerical example also shows that the measurement placement has a significant influence on the results in the material parameter identification for the orthotropic composite plate with a hole. The satisfactory identified results can be obtained by using the optimal measurement placement determined by the proposed method.
出处
《工程力学》
EI
CSCD
北大核心
2006年第10期30-34,共5页
Engineering Mechanics
基金
全国优秀博士论文专项基金(200025)
国家"十五"重点科技攻关专题(2001BA803B03-05)
关键词
正交各向异性复合材料
孔板
参数识别
边界元分析
测点布置
orthotropic composites
plate with a hole
parameter identification
boundary element analysis
measurement placement
