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Structural Engineering and Mechanics
  Volume 38, Number 3, May10 2011 , pages 283-300
DOI: 10.12989/sem.2011.38.3.283

Dynamics of a bridge beam under a stream of moving elements. Part 1 – Modelling and numerical integration
M. Podworna

    A new conception of fundamental tasks in dynamics of the bridge-track-train systems (BTT), with the aim to evaluate moving load\'s models adequacy, has been developed. The 2D physical models of BTT systems, corresponding to the fundamental tasks, have been worked out taking into account one-way constraints between the moving unsprung masses and the track. A method for deriving the implicit equations of motion, governing vibrations of BTT systems\' models, as well as algorithms for numerical integration of these equations, leading to the solutions of high accuracy and relatively short times of simulations, have been also developed. The derived equations and formulated algorithms constitute the basis for numerical simulation of vibrations of the considered systems.
Key Words
    bridge-track-train system; fundamental tasks; bridge beam; moving elements streams; one-way contact; implicit equations of motion; numerical integration.
M. Podworna: Institute of Civil Engineering, Wroclaw University of Technology, Wroclaw, Poland

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