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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)
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
Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7027)/1-14/(1993)
pages
14 pages
publisher
[Publisher information missing]
report number
TEAT-7027
language
English
LU publication?
yes
additional info
Published version: Zeitschrift für angewandte Mathematik und Physik 45, 866-881, 1994.
id
3927b72a-d95b-40d3-875f-ca7c09017735 (old id 530235)
date added to LUP
2016-04-04 14:37:37
date last changed
2018-11-21 21:21:24
@techreport{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}},
  institution  = {{[Publisher information missing]}},
  language     = {{eng}},
  number       = {{TEAT-7027}},
  series       = {{Technical Report LUTEDX/(TEAT-7027)/1-14/(1993)}},
  title        = {{Wave splitting of the Timoshenko beam equation in the time domain}},
  url          = {{https://lup.lub.lu.se/search/files/6403891/624852.pdf}},
  year         = {{1993}},
}