Dynamic Response of the Spectral Element Model by Using the FFT

Abstract:

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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.

Info:

Periodical:

Key Engineering Materials (Volumes 345-346)

Edited by:

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

Pages:

845-848

Citation:

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

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Price:

$38.00

[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.

[2] [10] [2] [11] [2] [12] [2] [13] [2] [14] [2] 15.