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Dynamic Responses of Beams with a Flexible Support Under a Constant Speed Moving Load

Published online by Cambridge University Press:  05 May 2011

H.-P. Lin
H.-P. Lin*
Affiliation:
Department of Mechanical and Automation Engineering, Da-Yeh University, Changhua, Taiwan 51505, R.O.C.
*
*Professor
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Abstract

This paper deals with the linear dynamic responses of beams with a flexible support under a moving load with a constant speed. The entire system is modeled as a two-span beam and each span of the continuous beams is assumed to obey the Euler-Bernoulli beam theory. Considering the compatibility requirements on the flexible constraint, the relationships between two segments can be obtained. By using a transfer matrix method, the characteristic equation of the entire system can then be determined. The forced responses of the system under a moving load can then be obtained through modal expansion theory. Some numerical results are presented to the effects of support stiffness and the different speeds of the moving load.

Keywords

Beam structureEigenvalueEigensolutionTransfer matrixFlexible supportMoving load.
Type
Articles
Information
Journal of Mechanics , Volume 24 , Issue 2 , June 2008 , pp. 195 - 204
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2008

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