Research Article
Jun 1969
Numerical Fourier Transform in Random Vibration
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VIEW THE REPLYPublication: Journal of the Engineering Mechanics Division
Volume 95, Issue 3
Abstract
The stochastic structural dynamic analysis for complex structures demands an analytical treatment involving nonstationary stochastic processes, under nonstationary gusty winds or earthquake accelerations. It is emphasized that the frequency domain analysis of such nonstationary problems with the aid of the Fourier transform technique is of vital importance in evaluating the mean value and the covariance function of the response, which are closely related to structural safety. An efficient method of numerical single and double Fourier transform and inversion with the aid of the complex Fourier series technique coupled with the Cooley-Tukey algorithm for evaluation of the Fourier coefficients is presented. Numerical examples indicate that the numerical inversion can be performed within a reasonable time on an IBM 7094.
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Published In
Journal of the Engineering Mechanics Division
Volume 95 • Issue 3 • June 1969
Pages: 731 - 746
Copyright
© 1969 American Society of Civil Engineers.
History
Published in print: Jun 1969
Published online: Feb 3, 2021
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Jann-Nan Yang
Grad. Research Asst., Dept. of Civ. Engrg. and Engrg. Mech., Columbia Univ., New York, N.Y.; Presently, NRC-NASA Resident Research Assoc., Jet Propulsion Lab., California Instit. of Tech., Pasadena, Calif.
Masanobu Shinozuka, M.ASCE
Assoc. Prof. of Civ. Engrg., Columbia Univ., New York, N.Y.
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Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.