建模错误诊断和模型修正的一种有效方法

A EFFICIENT METHOD FOR MODEL ERROR DIAGNOSIS AND MODEL MODIFICATION

基于子矩阵型模型修正思想,采用缩聚模型的模式,推导出一套质量、刚度矩阵建模错误诊断和模型修正公式,并提出了一种简单、有效的算法。该方法的优点是避免了测量模态的插值以及所引入的误差;其次,它既可告知建模错误发生的区域,又可以获得一个与试验结果相一致的修正模型;其三不要求计算有限元模型的特征对。文中考例表明,建模错误区诊断明确,且所得修正模型与实验结果达到良好一致。

In this paper,a set of diagnosis and modifying formula for structure finite element model with mass and stiffness error is derived being based on model modification idea of submatrix-type method,and a simple and efficient iterative arithmetic is put forward.The features of the method are that measured mode interpolating and it's interpolation error are avoided;secondly, not only model errors can be localized,but also a updated model coinciding with experimental data can obtained;thirdly,the modes of the structure finite element model has not need to be calculated.The numerical example shows the“features”mentioned above.