Dynamic Analysis of Supported Finite Beams of Small Curvature Under Moving Loads

概要

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This study is devoted to the investigation of dynamic response of a curved finite beam supported by vertical supports under moving loads. For the purpose of generality, the beam is assumed to be axially loaded. Each vertical support is modeled as a linear spring and a linear damper. The analysis is based on Euler-Bernoulli beam theory. The present method utilizes the concept of distributed moving load, spring force and damping force, and avoids the use of conditions of continuity. Expressing these forces in terms of the unknown function of the problem highly simplifies obtaining an exact solution. In order to see the dominant variables involved in the problem, dimensionless equations are obtained and solved explicitly. An example is presented to illustrate the validity and accuracy of the proposed method. The results are plotted and compared for various dimensionless variables. The method can readily be extended to include an arbitrary number of supports.
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