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TECHNICAL PAPERS

A New Exact Approach for Analyzing Free Vibration of SDOF Systems with Nonperiodically Time Varying Parameters

[+] Author and Article Information
Q. S. Li

Department of Building and Construction, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong

J. Vib. Acoust 122(2), 175-179 (Oct 01, 1999) (5 pages) doi:10.1115/1.568455 History: Received June 01, 1999; Revised October 01, 1999
Copyright © 2000 by ASME
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References

McLachlan, N. W., 1947, Theory and Application of Mathieu Functions, Clarendon Press, Oxford.
Stoker, J. J., 1950, Nonlinear Vibration in Mechanical and Electrical Systems, Interscience, New York.
Den Hartog, J. P., 1985, Mechanical Vibrations, Dover Publications, New York.
Newland, D. E., 1989, Mechanical Vibrations Analysis and Computation, Longman Science & Technical, New York.
Kotera,  T., 1988, “Vibrations of Strings with Time-Varying Length,” Trans. Jpn. Soc. Mech. Eng., Ser. C, 54, pp. 2597–2604.
Delmer,  T. N., Stephens,  T. C., and Coe,  I. M., 1983, “Numerical Simulation of Towed Cable Dynamics,” Ocean Eng., 10, pp. 119–132.
Sanders,  J. V., 1982, “A Three-Dimensional Dynamic Analysis of a Towed System,” Ocean Eng., 9, pp. 483–499.
Tabarrok,  B., Leech,  C. M., and Kim,  Y. I., 1974, “On the Dynamic of Axially Moving Beams,” J. Franklin Inst., 209, pp. 201–220.
Wang,  P. H, Fung,  R. F., and Lee,  M. J., 1998, “Finite Element Analysis of a Three-Dimensional Under Water Cable with Time-Dependent Length,” J. Sound Vib., 209, pp. 223–249.
Kolenef, P. G., 1960, Several Problems of Elastic Theory and Heat Transfer Reduced to Bessel Functions, Moscow Press, Moscow, pp. 23–47.
Konofin, G. R., 1962, Dynamics of Nooses and Chairs, Moscow Press, Moscow, pp. 15–39.
Li, Q. S., Fang, J. Q., Liu, D. K., and Jeary, A. P., 1998, “Exact Solutions for Free Vibration of SDOF Systems with Non-Periodically Varying Parameters,” accepted by J. Vib. and Control.
Cao, Q., Li, S., and Li, G., 1992, Earthquake-Resistant Design for Buildings and Structures, National Meteorlogy Press, Beijing, pp. 151–158.

Figures

Grahic Jump Location
The displacement-time curves for the five cases

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