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Dynamic analysis of the linear discrete dynamic systems subjected to the initial conditions by using an FFT-based spectral analysis method

✍ Scribed by Usik Lee; Sunghwan Kim; Jooyong Cho

Publisher: Elsevier Science
Year: 2005
Tongue: English
Weight: 363 KB
Volume: 288
Category: Article
ISSN: 0022-460X
DOI: 10.1016/j.jsv.2005.01.014

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✦ Synopsis

In this paper, a fast Fourier transforms (FFT)-based spectral analysis method is introduced for the dynamic analysis of the linear discrete dynamic systems subjected to the non-zero initial conditions. The FFT-based spectral analysis method is developed first for the one degree-of-freedom (dof) system and then extended to the multi-dof systems. To evaluate the accuracy and convergence of the FFT-based spectral analysis method, the forced vibration of a viscously damped 3-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 using the FFT-based spectral analysis method with the exact analytical solutions as well as with the numerical results obtained by using the Runge-Kutta method.

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