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Identification of modal parameters of unmeasured modes using multiple FRF modal analysis method

机译：多种FRF模态分析方法识别未测模式的模态参数

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摘要

Current modal analysis methods seek to identify the modal parameters of some or all of the modes in the measured frequency range of interest. In many applications however, it will be very useful if modal parameters of some of the out-of-range modes can be identified during modal analysis. Such a goal is obviously theoretically possible since the raw measured frequency response functions (FRFs), upon which modal analysis is performed, do contain adequate information about the out-of-range modes in the form of residue contributions. In this paper, a new method for the estimation of modal parameters using multiple FRFs analysis is presented. In the process of modal identification, the proposed method not only presents accurate modal parameters of the modes which are present in the measurement frequency range, but also quite accurately identifies some of the modes which are not measured. The method calculates the required modal parameters by solving eigenvalue problem of an equivalent eigensystem derived from those measured FRF data. All measured FRFs are used simultaneously to construct the equivalent eigensystem matrices from which natural frequencies, damping loss factors and modeshape vectors of interest are solved. Since the identification problem is reduced to an eigenvalue problem of an equivalent system, natural frequencies and damping loss factors identified are consistent. Applications of the method to both numerically simulated and practically measured FRF data are given to demonstrate the practicality of the proposed method and the results have shown the method is capable of accurately identifying modal parameters of out-of-range modes.
机译：当前的模态分析方法试图识别在所测量的感兴趣频率范围内的某些或所有模式的模态参数。但是，在许多应用中，如果可以在模态分析期间识别某些超出范围的模态参数，将非常有用。该目标显然在理论上是可行的，因为在其上执行模态分析的原始测得的频率响应函数（FRF）确实包含有关残差贡献形式的超范围模式的足够信息。本文提出了一种使用多重FRF分析估计模态参数的新方法。在模态识别过程中，所提出的方法不仅给出了测量频率范围内存在的模态的准确模态参数，而且还相当准确地识别了一些未测量的模态。该方法通过解决从那些实测FRF数据得出的等效特征系统的特征值问题来计算所需的模态参数。同时使用所有测得的FRF来构建等效的本征系统矩阵，从中求出固有频率，阻尼损耗因子和感兴趣的振型矢量。由于将识别问题简化为等效系统的特征值问题，因此识别出的固有频率和阻尼损耗因子是一致的。将该方法应用于数值模拟和实际测量的FRF数据，以证明该方法的实用性，结果表明该方法能够准确识别超出范围的模态参数。

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