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Model updating of the complex modeshapes and the damping matrix

机译:复模态和阻尼矩阵的模型更新

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摘要

The problem of updating the damping matrix from incomplete modal experimental data is considered. It is assumed that the mass and stiffness matrices are accurate, or have been updated before. Hence the suggested model updating procedure is restricted to the damping matrix while the normal system and its modal parameters do not change. The first step is modification of the complex eigenvectors so that they satisfy the governing orthogonality conditions for damped systems. Using an approximation of these conditions a closed form solution is obtained. With the modified eigenvectors, the damping matrix is updated using the reference basis approach. Two solutions are given. One for the case of accurate eigendata, and a second, less sensitive to errors, for corrected, yet inaccurate, eigenvectors. The proposed method is demonstrated by means of two examples.
机译:考虑了从不完整的模态实验数据中更新阻尼矩阵的问题。假定质量和刚度矩阵是准确的,或者之前已经更新过。因此,建议的模型更新过程仅限于阻尼矩阵,而正常系统及其模态参数不变。第一步是修改本征向量,使其满足阻尼系统的主导正交性条件。使用这些条件的近似值,可以获得封闭形式的解决方案。利用修改后的特征向量,使用参考基准方法更新阻尼矩阵。给出了两种解决方案。一种是针对准确的特征数据,另一种是针对错误但对错误不太敏感的问题,用于校正但不准确的特征向量。通过两个示例对提出的方法进行了演示。

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