Dynamic Analysis of Structures by the DFT Method
Publication: Journal of Structural Engineering
Volume 111, Issue 12
Abstract
Following a brief review of the Discrete Fourier Transform (DFT) method of analyzing the dynamic response of linear structures, the limitations and principal sources of potential inaccuracies of this approach are identified, and an evaluation is made of the nature and magnitudes of the errors that may result. Two versions of a modification are then presented which dramatically improve the efficiency of the DFT procedure, and the relative merits of the two techniques are examined. The concepts involved are developed by reference to single‐degree‐of‐freedom systems, and they are illustrated with the aid of judiciously selected numerical solutions.
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References
1.
Bergland, G. D., “A Guided Tour of the Fast Fourier Transform,” IEEE Spectrum, July, 1969, pp. 41–52.
2.
Clough, R. W., and Penzien, J., Dynamics of Structures, McGraw‐Hill, Inc., New York, NY, 1975, pp. 46 and 53.
3.
Cooley, J. W., and Tukey, J. W., “An Algorithm for the Machine Calculation of Complex Fourier Series,” Mathematics of Computation, Vol. 19, 1965, pp. 297–301.
4.
Hurty, W. C., and Rubinstein, M. F., Dynamics of Structures, Prentice Hall, Inc., Clifton, NJ, 1964, pp. 346–351.
5.
Liu, S. C., and Fagel, L. W., “Earthquake Interaction by Fast Fourier Transform,” Journal of the Engineering Mechanics Division, ASCE, Vol. 29, No. 4, 1971, pp. 1223–1237.
6.
“Subroutine FFTCC,” International Mathematical and Statistical Libraries, IMSL LIB.009, IMSL Inc., June, 1982.
7.
Veletsos, A. S., and Kumar, A., “Steady‐State and Transient Responses of Linear Structures,” Journal of the Engineering Mechanics Division, ASCE, Vol. 109, No. 5, 1983, pp. 1215–1230.
8.
Veletsos, A. S., and Ventura, C. E., “Efficient Analysis of Dynamic Response of Linear Systems,” Journal of Earthquake Engineering and Structural Dynamics, Vol. 12, 1984, pp. 521–536.
9.
Verbic, B., “Analysis of Certain Structure‐Foundation Interaction Systems,” thesis presented to Rice University, at Houston, TX, in 1972, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 111 • Issue 12 • December 1985
Pages: 2625 - 2642
Copyright
Copyright © 1985 ASCE.
History
Published online: Dec 1, 1985
Published in print: Dec 1985
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