This paper deals with the motion of an elastically supported beam that carries an elastic beam moving at constant speed. The problem provides a limiting case to the assumptions usually considered in the study of trains moving on rail tracks. In the literature, the train is commonly treated as a moving line-load with spacewise constant intensity, or as a system of moving rigid bodies supported by single springs and dampers. In extension, the authors study an elastically supported infinite beam, which is mounted by an elastic beam moving at a constant speed. Both beams are considered to have distributed stiffness and mass. The moving beam represents the train, while the elastically supported infinite beam models the railway track. The 2 beams are connected by an interface modeled as an additional continuous elastic foundation. This work follows a strategy by S. P. Timoshenko who showed that a beam on discrete elastic supports could be modeled as a beam on a continuous elastic Winkler foundation without suffering a substantial loss in accuracy. The celebrated Timoshenko theory of shear deformable beams with rotatory inertia is used to formulate the equations of motion of the 2 beams under consideration. The resulting system of ordinary differential equations and boundary conditions is solved by means of the powerful methods of symbolic computation. The authors present a nondimensional study on the influence of the train stiffness and the interface stiffness on the pressure distribution between train and railway track. Considerable pressure concentrations are found to occur at the ends of the moving train.


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  • Accession Number: 00961761
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Aug 29 2003 12:00AM