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Wave splitting of the Timoshenko beam equation in the time domain

Olsson, Peter LU and Kristensson, Gerhard LU (1994) In Zeitschrift für Angewandte Mathematik und Physik 45(6). p.866-881
Abstract
In recent years, wave splitting in conjunction with invariant imbedding and Green's function techniques has been applied with great success to a number of interesting inverse and direct scattering problems. The aim of the present paper is to derive a wave splitting for the Timoshenko equation, a fourth order PDE of importance in beam theory. An analysis of the hyperbolicity of the Timoshenko equation and its, in a sense, less physical relatives - the Euler-Bernoulli and the Rayleigh equations - is also provided.
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Zeitschrift für Angewandte Mathematik und Physik
volume
45
issue
6
pages
866 - 881
publisher
Birkhäuser
external identifiers
  • scopus:0000220068
ISSN
1420-9039
DOI
10.1007/BF00952082
language
English
LU publication?
yes
id
ea070199-f288-4d58-bff7-9d6e6d857909 (old id 143339)
date added to LUP
2016-04-01 12:35:43
date last changed
2025-10-14 09:26:33
@article{ea070199-f288-4d58-bff7-9d6e6d857909,
  abstract     = {{In recent years, wave splitting in conjunction with invariant imbedding and Green's function techniques has been applied with great success to a number of interesting inverse and direct scattering problems. The aim of the present paper is to derive a wave splitting for the Timoshenko equation, a fourth order PDE of importance in beam theory. An analysis of the hyperbolicity of the Timoshenko equation and its, in a sense, less physical relatives - the Euler-Bernoulli and the Rayleigh equations - is also provided.}},
  author       = {{Olsson, Peter and Kristensson, Gerhard}},
  issn         = {{1420-9039}},
  language     = {{eng}},
  number       = {{6}},
  pages        = {{866--881}},
  publisher    = {{Birkhäuser}},
  series       = {{Zeitschrift für Angewandte Mathematik und Physik}},
  title        = {{Wave splitting of the Timoshenko beam equation in the time domain}},
  url          = {{http://dx.doi.org/10.1007/BF00952082}},
  doi          = {{10.1007/BF00952082}},
  volume       = {{45}},
  year         = {{1994}},
}