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

Author:

Lin H.-P.

Abstract

ABSTRACTThis 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.

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Mechanical Engineering,Condensed Matter Physics

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