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Updating large models for mechanical systems using incomplete modal measurement

机译：使用不完整的模态测量更新机械系统的大型模型

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The problem of model updating for mechanical or structural systems is addressed by using incomplete modal measurement. The proposed method requires only the modal frequencies and mode shapes at some selected degrees of freedom for a few modes. The method updates the mass and stiffness matrix without imposing any parameterization and it utilizes the information from both the nominal finite-element model and the modal data. The method is computationally efficient as neither iteration nor numerical optimization is required. It does not require computation of the complete set of eigenvalues and eigenvectors of the nominal model. Instead, only the ones corresponding to the observed modes are needed. The method first updates the modal frequencies. Then, an efficient algorithm is presented to construct a transformation matrix. This matrix is used to correct the nominal eigenvectors so that the updated model is compatible with the measurement of the eigenvectors. A twelve-degree-of-freedom truss is used to provide insights of the proposed method. Finally, a 1600-degree-of-freedom spring-mass system is considered to illustrate the efficiency of the proposed method for large structure.
机译：通过使用不完整的模态测量解决了机械或结构系统模型更新的问题。对于几种模式，所提出的方法仅需要在某些选定的自由度上的模式频率和模式形状。该方法无需施加任何参数即可更新质量和刚度矩阵，并且利用标称有限元模型和模态数据中的信息。该方法在计算上是有效的，因为不需要迭代或数值优化。它不需要计算名义模型的完整特征值和特征向量集。相反，仅需要与观察到的模式相对应的模式。该方法首先更新模态频率。然后，提出了一种有效的算法来构造变换矩阵。该矩阵用于校正名义特征向量，以便更新后的模型与特征向量的测量兼容。十二自由度桁架用于提供所提出方法的见解。最后，考虑了一个1600自由度的弹簧质量系统来说明所提出的大型结构方法的效率。

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