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- Olsson, Peter, et al.
(författare)
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Wave splitting of the Timoshenko beam equation in the time domain
- 1994
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Ingår i: Zeitschrift für Angewandte Mathematik und Physik. - 1420-9039. ; 45:6, s. 866-881
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Tidskriftsartikel (refereegranskat)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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- Olsson, Peter, et al.
(författare)
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Wave splitting of the Timoshenko beam equation in the time domain
- 1993
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Rapport (övrigt vetenskapligt/konstnärligt)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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