Wave splitting of the Timoshenko beam equation in the time domain
(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:
https://lup.lub.lu.se/record/530235
- author
- Olsson, Peter and Kristensson, Gerhard LU
- organization
- publishing date
- 1993
- 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}}, }