Dynamic Response of the Spectral Element Model by Using the FFT


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In this paper, a fast Fourier transforms (FFT)-based spectral analysis method (SAM) is proposed for the dynamic analysis of spectral element models subjected to the non-zero initial conditions. To evaluate the proposed SAM, the spectral element model for the simply supported Bernoulli-Euler beam is considered as an example problem. The accuracy of the proposed SAM is evaluated by comparing the dynamic responses obtained by SAM with the exact analytical solutions.



Key Engineering Materials (Volumes 345-346)

Edited by:

S.W. Nam, Y.W. Chang, S.B. Lee and N.J. Kim




J. Y. Cho et al., "Dynamic Response of the Spectral Element Model by Using the FFT", Key Engineering Materials, Vols. 345-346, pp. 845-848, 2007

Online since:

August 2007




[1] J.F. Doyle: Wave Propagation in Structures, Spectral Analysis Using Fast Discrete Fourier Transforms (Springer, New York 1997).

[2] U. Lee: Spectral Element Method in Structural Dynamics (Inha University Press, Inha University, South Korea 2004).

[3] D.E. Newland: Random Vibrations, Spectral and Wavelet Analysis (Longman, New York 1993).

[4] J.H. Ginsberg: Mechanical and Structural Vibrations, Theory and Applications (John Wiley & Sons, New York 2001). Fig. 1 Dynamic responses obtained by the mode superposition method (MSM) and the present SAM. Fig. 2 Percentage errors of the dynamic response by the present SAM vs. the number of samples N.

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