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On applying the Laplace transform method to an equation describing an axially moving string

  1. S. Ponomareva,
  2. W. T. van Horssen*

Article first published online: 24 NOV 2004

DOI: 10.1002/pamm.200410035

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PAMM

PAMM

Volume 4, Issue 1, pages 107–108, December 2004

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How to Cite

Ponomareva, S. and van Horssen, W. T. (2004), On applying the Laplace transform method to an equation describing an axially moving string. Proc. Appl. Math. Mech., 4: 107–108. doi: 10.1002/pamm.200410035

Author Information

  1. Department of Applied Mathematical Analysis, Faculty of Information Technology and Systems, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands

*Phone: +31-15-2783524, Fax: +31-15-2787295

Publication History

  1. Issue published online: 24 NOV 2004
  2. Article first published online: 24 NOV 2004

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Abstract

In this paper an initial-boundary value problem for a linear, nonhomogeneous axially moving string equation will be considered. The velocity of the string is assumed to be constant, and the nonhomogeneous terms in the string equation are due to external forces acting on the string. The Laplace transform method will be used to construct the solution of the problem. It will turn out that the method has considerable, computational advantages compared to the usually applied method of modal analysis based on eigenfunction expansions. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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