WAVE SPLITTING OF THE TIMOSHENKO BEAM EQUATION IN THE TIME-DOMAIN

Authors
OLSSON P KRISTENSSON G
Citation
P. Olsson et G. Kristensson, WAVE SPLITTING OF THE TIMOSHENKO BEAM EQUATION IN THE TIME-DOMAIN, Zeitschrift fur angewandte Mathematik und Physik, 45(6), 1994, pp. 866-881
Citations number
15
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mathematics
Journal title
Zeitschrift fur angewandte Mathematik und Physik → ACNP
ISSN journal
00442275
Volume
45
Issue
6
Year of publication
1994
Pages
866 - 881
Database
ISI
SICI code
0044-2275(1994)45:6<866:WSOTTB>2.0.ZU;2-T
Abstract
In recent years, wave splitting in conjunction with invariant imbeddin g 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 Timosh enko equation, a fourth order PDE of importance in beam theory. An ana lysis of the hyperbolicity of the Timoshenko equation and its, in a se nse, less physical relatives - the Euler-Bernoulli and the Rayleigh eq uations - is also provided.