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Predicting anti-resonance frequencies using a novel eigenvalue formulation

机译:使用新颖的特征值制剂预测防谐振频率

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摘要

Herein, we present a novel method for searching anti-resonance frequencies, using an eigenvalue analysis that does not need to search every dip of amplitude in the frequency response function. The eigenvalue equation is derived by utilizing the fact that the solutions of a forced vibration equation are equal to zero at anti-resonance frequencies. The characteristics of the eigenvalue problem are analyzed with a one-dimensional (1D) bar example, and as engineering applications, four numerical examples are presented to demonstrate the computational efficiency and robustness of the proposed method.
机译:这里,我们介绍了一种用于搜索防谐振频率的新方法,使用特征值分析,不需要在频率响应函数中搜索每个幅度的每个幅度。 通过利用强制振动方程的溶液在防谐振频率下等于零的事实来导出特征值等式。 用一维(1D)条示例分析特征值问题的特征,并且作为工程应用,提出了四个数值示例以证明所提出的方法的计算效率和鲁棒性。

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