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Wave splitting of the Timoshenko beam equation in the time domain

Olsson, Peter and Kristensson, Gerhard LU (1993) In Technical Report LUTEDX/(TEAT-7027)/1-14/(1993) TEAT-7027.
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.
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organization
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type
Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7027)/1-14/(1993)
volume
TEAT-7027
pages
14 pages
publisher
[Publisher information missing]
language
English
LU publication?
yes
id
3927b72a-d95b-40d3-875f-ca7c09017735 (old id 530235)
date added to LUP
2007-09-12 11:30:10
date last changed
2016-10-11 09:03:18
@misc{3927b72a-d95b-40d3-875f-ca7c09017735,
  abstract     = {In recent years, wave splitting in conjunction with invariant imbedding and<br/><br>
Green’s function techniques has been applied with great success to a number<br/><br>
of interesting inverse and direct scattering problems. The aim of the present<br/><br>
paper is to derive a wave splitting for the Timoshenko equation, a fourth<br/><br>
order PDE of importance in beam theory. An analysis of the hyperbolicity<br/><br>
of the Timoshenko equation and its, in a sense, less physical relatives—the<br/><br>
Euler-Bernoulli and the Rayleigh equations—is also provided.},
  author       = {Olsson, Peter and Kristensson, Gerhard},
  language     = {eng},
  pages        = {14},
  publisher    = {ARRAY(0x7fdb9e0)},
  series       = {Technical Report LUTEDX/(TEAT-7027)/1-14/(1993)},
  title        = {Wave splitting of the Timoshenko beam equation in the time domain},
  volume       = {TEAT-7027},
  year         = {1993},
}