On the construction of the solution of an equation describing an axially moving string. W.T. van Horssen * , S.V. Ponomareva Department of Applied Mathematical Analysis, Faculty of Information Technology and Systems, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands. 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. * Corresponding author. Tel.: +31-15-2783524; fax: +31-15-2787295. Email addresses: W.T.vanHorssen@its.tudelft.nl (W.T. van Horssen ), svetlana@dutind4.twi.tudelft.nl (S.V. Ponomareva). Preprint submitted to Journal of Sound and Vibration 2 March 2005