Interaction and multiscale mechanics

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Dynamic response of an elastic bridge loaded by a moving elastic beam with a finite length

  • Cojocaru, Eugenia C. (Linz Center of Mechtronics GmbH) ;
  • Irschik, Hans (Institute of Technical Mechanics, Johannes-Kepler University)
  • Received : 2010.08.08
  • Accepted : 2010.10.22
  • Published : 2010.12.25
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Abstract

The present paper is concerned with vibrations of an elastic bridge loaded by a moving elastic beam of a finite length, which is an extension of the authors' previous study where the second beam was modeled as a semi-infinite beam. The second beam, which represents a train, moves with a constant speed along the bridge and is assumed to be connected to the bridge by the limiting case of a rigid interface such that the deflections of the bridge and the train are forced to be equal. The elastic stiffness and the mass of the train are taken into account. The differential equations are developed according to the Bernoulli-Euler theory and formulated in a non-dimensional form. A solution strategy is developed for the flexural vibrations, bending moments and shear forces in the bridge by means of symbolic computation. When the train travels across the bridge, concentrated forces and moments are found to take place at the front and back side of the train.

Keywords

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