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Wave splitting of the Timoshenko beam equation in the time domain

Publiceringsår: 1994
Språk: Engelska
Sidor: 866-881
Publikation/Tidskrift/Serie: Zeitschrift für angewandte Mathematik und Physik
Volym: 45
Nummer: 6
Dokumenttyp: Artikel
Förlag: Birkhäuser Verlag AG


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.



  • Technology and Engineering


  • ISSN: 0044-2275

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