统计分析和优化技术相结合对有限元模型参数修改的研究

UPDATING FINITE ELEMENT MODEL PARAMETERS BASED ON THE MULTIVARIATE STATISTICAL ANALYSIS AND THE OPTIMAL METHOD

针对工程中试验位移和有限元计算位移不吻合的问题，提出了以试验位移为目标的多元统计分析和优化技术相结合对有限元模型参数修改的方法。首先利用统计分析相关度的概念提取影响测点响应的主要模型参数，然后应用优化技术对这些参数进行修正。

Aimed at the errors between the test response fields and the analytical response fields, a parameter based update methodology for improving finite element modesl is pressnted. In the proposed method, first of all, the parameters having great correlative degrees with the test response fields are chosen by statistical analysis, and then these parameters are updated by the optimal technique on the results of experimental response fields. Since only the main parameters are updated, the optimal procedures become very easy. Numerical results are presented, which show that the proposed method is feasible and practical in engineering.