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Vibration of an Elastically Connected Nonprismatic Double-beam System Using Differential Transform Method

Abstract

In this paper, the free vibration characteristics of an elastically connected non-prismatic double-beam system based on Euler-Bernoulli beam theory are determined using differential transform method. The double-beam system is composed of two parallel non-uniform cantilever beams which are attached to each other by a Pasternak elastic medium. Numerical results of the method used are validated by comparing with the ones available in the published literature. The effect of the taper ratio on the natural frequency of the double-beam system is also studied

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