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Dynamic Responses of Beams with a Flexible Support Under a Constant Speed Moving Load
H.-P. Lin
Journal:

Journal of Mechanics / Volume 24 / Issue 2 / June 2008

Published online by Cambridge University Press:

05 May 2011, pp. 195-204

Print publication:

June 2008
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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.