Abstract

This paper describes an exact method for investigating the dynamic response of an infinite uniform beam resting on periodic rolle supports and subjected to a moving force. At first, an exact solution for a rotationally periodic continous beam subjected to a moving force is obtained by the U -transformation and mode method. Then, by a limiting process, with the number of spans approaching infinity, the result is generalized to give a solution for an infinite continuous beam subjected to a moving force. This method will be applicable to the forced vibration analysis of an infinite continuous beam under arbitrary excitation.

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