Wave splitting of the Timoshenko beam equation in the time domain
(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:
https://lup.lub.lu.se/record/143339
- author
- Olsson, Peter LU and Kristensson, Gerhard LU
- organization
- publishing date
- 1994
- 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
- 2024-01-09 02:01:15
@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}}, }