阻尼矩阵与刚度矩阵的一种直接修正方法

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振动与冲击 ›› 2009, Vol. 28 ›› Issue (8) : 117-120.

论文

阻尼矩阵与刚度矩阵的一种直接修正方法

袁永新1，戴华2

作者信息 +

A direct updating method for damping and stiffness matrices

YUAN Yongxin 1,DAI Hua 2

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文章历史 +

摘要

提出了一种利用复模态测量数据同时修正有限元阻尼与刚度矩阵的有效方法。借助于矩阵的奇异值分解得到了满足动力方程的最小修正矩阵。该方法有一个简洁的表达式，修正过程简单而且容易实现，数值试验表明修改后的结构参数能准确地同试验值吻合。

Abstract

An efficient numerical method for updating the damping and stiffness matrices simultaneously using a few of complex measured modal data is developed. By applying the singular value decomposition, the optimal corrected damping and stiffness matrices that satisfy the equation of motion are found in a weighted Frobenius norm. This model updating method is direct and the updating process is very simple. Numerical results show that the presented method can be used to update the finite element model to get better agreement between analytical and experimental modal parameters.