Comparison of two possible approaches to inverse laplace transform applied to wave problems

0377657 - ÚT 2013 RIV CZ eng C - Conference Paper (international conference)
Adámek, V. - Valeš, František - Červ, Jan
Comparison of two possible approaches to inverse laplace transform applied to wave problems.
Engineering Mechanics 2012. Prague: ITAM AS CR, v. v. i., 2012 - (Náprstek, J.; Fischer, C.), s. 25-32. ISBN 978-80-86246-40-6.
[Engineering Mechanics 2012 /18./. Svratka (CZ), 14.05.2012-17.05.2012]
R&D Projects: GA ČR(CZ) GAP101/12/2315
Institutional research plan: CEZ:AV0Z20760514
Keywords : thin disc * radial impact * non-stationary wave problem
Subject RIV: BI - Acoustics

This paper concerns the investigation of non-stationary wave phenomena in a thin elastic disc under radial impact by means of analytical methods. When the method of integral transforms is used for solving the system of PDEs describing a wave problem solved, one has to overcome the problem of inverse transform. This work focuses on two possible approaches to the inverse Laplace transform. Using the existing analytical solution of the problem, the classic method making use of the residue theorem and the method based on the numerical inverse Laplace transform are compared. Advantages and disadvantages of both approaches, mainly from computational point of view, are discussed and demonstrated.
Permanent Link: http://hdl.handle.net/11104/0209757