On the construction of the solution of an equation describing an axially moving string

Report (2005)
Faculty
Electrical Engineering, Mathematics and Computer Science (EEMCS) (TU Delft)
Copyright: © 2005 Van Horssen, W.T.; Ponomareva, S.V.
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Published Date

2005

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Source:

Reports of the Department of Applied Mathematical Analysis, 05-01

Faculty

Electrical Engineering, Mathematics and Computer Science

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 force 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.

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