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Numerical Frequency-Interval Modal Analysis of Structural Dynamic Systems with Frequency-Dependent Mounts

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Abstract

The inverse matrix of inertia term which is composed of mass, damping and stiffness matrices has been traditionally solved by the frequency-wise direct method, in order to obtain the response spectrum of MDOF model for the system which includes the frequency-dependent components. But, this approach suffers from the inconveniency because it takes long CPU time for the FEM analysis. In order to resolve this problem, this paper presents an effective method for extracting the complex eigenvalues and eigenmodes of frequency-dependent MDOF system which includes the mounts. As well, the effectiveness of proposed method was verified through the comparison with the conventional direct method. The proposed method confirms whether the obtained eigenvalues are valid or not. So, the proposed method has the advantage of easy application, because it can extract the complex eigenvalues and eigenmodes by solving only the well-known second-order eigenvalue problems, without using the special stiffness and damping models. Theoretically, the proposed method selects only the eigenvalues which are to be used for the computation of unit-impulse response functions, by choosing the eigenvalues that belong to the frequency wisely discretized integral paths for the inverse Fourier integral. In addition, this method was also extended to MDOF system.

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Acknowledgements

This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (2020R1A2C1100924). This work was supported by the Korea Evaluation Institute of Industrial Technology (MOTIE) (20019096) and the Korea Institute of Machinery and Materials (NK238C).

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Authors and Affiliations

  1. Department of Naval Architecture and Ocean Engineering, Hongik University, Sejong-Ro, Jochiwon, Sejong, 30016, South Korea

    Sung-Hoon Bae

  2. Busan Machinery Research Center, Korea Institute of Machinery and Materials, Busan, 46744, South Korea

    Jin-Rae Cho

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  1. Sung-Hoon Bae
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Bae, SH., Cho, JR. Numerical Frequency-Interval Modal Analysis of Structural Dynamic Systems with Frequency-Dependent Mounts. Int. J. Precis. Eng. Manuf. 24, 461–469 (2023). https://doi.org/10.1007/s12541-022-00751-x

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