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On applying the Laplace transform method to an equation describing an axially moving string
Author(s) -
Ponomareva S.,
van Horssen W. T.
Publication year - 2004
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200410035
Subject(s) - laplace transform , eigenfunction , axial symmetry , string (physics) , laplace's equation , mathematical analysis , boundary value problem , mathematics , inverse laplace transform , modal , laplace transform applied to differential equations , physics , geometry , mathematical physics , quantum mechanics , eigenvalues and eigenvectors , polymer chemistry , chemistry
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)