Small‐Amplitude Vibrations of Extensible Cables
Publication: Journal of Engineering Mechanics
Volume 110, Issue 4
Abstract
Equations governing small‐amplitude free vibrations of extensible cables are determined. The resulting eigenvalue problem is solved using the Galerkin procedure. Numerical results agree with previous results in the inex‐tensible limit and provide useful extension to extensibility for a wide range of geometrical and material parameters.
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References
1.
“Aeolian Vibration on Overhead Lines,” Working Group 01 of CIGRE, Conference Internationale Des Grands Reseaux Electriques, Study Committee No. 22, CIGRE Paper 21‐11, 1970.
2.
Irvine, H. M., and Griffin, J. H., “On the Dynamic Response of a Suspended Cable,” International Journal of Earthquake Engineering and Structural Dynamics, Vol. 4, 1976, pp. 389–402.
3.
Irvine, H. M., Cable Structures, The MIT Press, Cambridge, Mass., 1981.
4.
Goodey, W. J., “On the Natural Modes and Frequencies of a Suspended Chain,” Quarterly Journal of Mechanics and Applied Mathematics, Vol. 14, Pt. 1, 1961, pp. 118–127.
5.
Leonard, J. W., and Recker, W. W., “Nonlinear Dynamics of Cables with Low Initial Tension,” Journal of the Engineering Division, ASCE, Vol. 98, No. EM2, Apr., 1972, pp. 293–309.
6.
McDaniels, W. N., “An Analysis of Galloping Electrical Transmission Lines,” Transactions of the American Institute of Electrical Engineers, Vol. 79, Pt. III, Aug., 1960, pp. 406–412.
7.
Pugsley, A. G., “On the Natural Frequencies of Suspension Chains,” Quarterly Journal of Mechanics and Applied Mathematics, Vol. 2, Pt. 4, 1949, pp. 412–418.
8.
Saxon, D. S., and Chan, A. S., “Modes of Vibration of a Suspended Chain,” Quarterly Journal of Mechanics and Applied Mathematics, Vol. 6, Pt. 3, 1953, pp. 273–285.
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Copyright © 1984 ASCE.
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Published online: Apr 1, 1984
Published in print: Apr 1984
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