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Vibrations of String due to a Uniform Partially Distributed Moving Load: Closed Solutions

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  • Rafał Idzikowski
  • Małgorzata Mazij
  • Paweł Śniady
  • Piotr Śniady

Abstract

We consider the damping dynamical response of a finite string due to a uniformly distributed load and a point force moving with a constant velocity. The classical solution for the transverse displacement of a string has a form of a sum of two infinite series, one of which represents the forced vibrations (aperiodic vibrations) and the other one represents free vibrations of the beam. We show that the series which represents aperiodic (forced) vibrations of the string can be presented in a closed, analytical form.

Suggested Citation

  • Rafał Idzikowski & Małgorzata Mazij & Paweł Śniady & Piotr Śniady, 2013. "Vibrations of String due to a Uniform Partially Distributed Moving Load: Closed Solutions," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-8, December.
    • Handle: RePEc:hin:jnlmpe:163970
    DOI: 10.1155/2013/163970
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