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An FFT‐Based Spectral Analysis Method for Linear Discrete Dynamic Systems with Non‐Proportional Damping
Author(s) -
Jooyong Cho,
Usik Lee
Publication year - 2005
Publication title -
shock and vibration
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.418
H-Index - 45
eISSN - 1875-9203
pISSN - 1070-9622
DOI - 10.1155/2006/537523
Subject(s) - fast fourier transform , modal analysis , vibration , spectral analysis , mathematics , modal , damping ratio , control theory (sociology) , computer science , algorithm , acoustics , physics , materials science , spectroscopy , control (management) , quantum mechanics , artificial intelligence , polymer chemistry
This paper proposes a fast Fourier transforms (FFT)-based spectral analysis method for the dynamic analysis of linear discrete dynamic systems which have non-proportional viscous damping and are subjected to non-zero initial conditions. To evaluate the proposed FFT-based spectral analysis method, the forced vibration of a three degree-of-freedom (DOF) system is considered as an illustrative problem. The accuracy of the proposed FFT-based spectral analysis method is evaluated by comparing the forced vibration responses obtained by the present FFT-based spectral analysis method with those obtained by using the well-known Runge-Kutta method and modal analysis method

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