Dynamic Response of a Plate on Elastic Foundation Under Moving Vertical and In-Plane Loads
Aim of the present work is the investigation of the effect of in-plane loads on the dynamic response of a plate on elastic foundation under moving load. The used methodology is based on application of a zero order Hankel transform on the governing differential equation, yielding an algebraic equation with respect to the transformed variable. Then, the Hankel transformed deflection of the plate can be obtained by the solution of the algebraic equation. Analytic inversion of the transformed variable is achieved yielding an integral representation of the plate deflection. The new contribution is the determination of the dynamic response of the plate versus in-plane forces, speed of moving load, and distance from the loading source. The results indicated that the dynamic deflection takes high values for high velocity of the moving load. Moreover, compressive in-plane loads yield an amplification of the dynamic deflection amplitude.
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