Original title: Comparison of two possible approaches to inverse laplace transform applied to wave problems
Authors: Adámek, V. ; Valeš, František ; Červ, Jan
Document type: Papers
Conference/Event: Engineering Mechanics 2012 /18./, Svratka (CZ), 2012-05-14 / 2012-05-17
Year: 2012
Language: eng
Abstract: 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.
Keywords: non-stationary wave problem; radial impact; thin disc
Project no.: CEZ:AV0Z20760514 (CEP), GAP101/12/2315 (CEP)
Funding provider: GA ČR
Host item entry: Engineering Mechanics 2012, ISBN 978-80-86246-40-6

Institution: Institute of Thermomechanics AS ČR (web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0209757

Permalink: http://www.nusl.cz/ntk/nusl-119183


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Research > Institutes ASCR > Institute of Thermomechanics
Conference materials > Papers