Dynamic Instability of Elastically Supported Beam under Traveling Inertia Load
Publication: Journal of Engineering Mechanics
Volume 125, Issue 11
Abstract
The dynamic instability of an elastically supported Timoshenko beam under the constant velocity traveling inertia load has been investigated. The regions of dynamic instability are determined for different values of the elastic foundation constant. Floquet theory is utilized to study the parametric regions of instability, which are displayed in graphical form.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Abbas, B. A. H., and Thomas, J. (1978). “Dynamic stability of Timoshenko beam resting on an elastic foundation.” J. Sound and Vibration, 60, 33–44.
2.
Bogaez, R., Nowakowski, S., and Popp, K. (1986). “On the stability of a Timoshenko beam on an elastic foundation under a moving spring-mass system.” Acta Mechanica, 61, 117–127.
3.
Bolotin, V. V. (1964). Dynamic stability of elastic systems. Holden-Day, Oakland, Calif.
4.
Cesari, L. (1971). Asymptotic behavior and stability problems in ordinary differential equations. Springer, New York.
5.
Mackertich, S. (1992). “Response of a beam to a moving mass.” J. Acoust. Soc. Am., 92(3), 1766–1769.
6.
Nelson, H. D., and Conover, R. A. (1971). “Dynamic stability of a beam carrying moving masses.” J. Appl. Mech., 1003–1006.
7.
Newland, E. (1970). “Instability of an elastically supported beam under a traveling inertia load.” J. Mech. Engrg. Sci., 12(5), 373–374.
Information & Authors
Information
Published In
History
Received: Nov 9, 1998
Published online: Nov 1, 1999
Published in print: Nov 1999
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.