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Wave splitting of the Timoshenko beam equation in the time domain

Publiceringsår: 1993
Språk: Engelska
Publikation/Tidskrift/Serie: Technical Report LUTEDX/(TEAT-7027)/1-14/(1993)
Volym: TEAT-7027
Dokumenttyp: Rapport
Förlag: [Publisher information missing]


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.


  • Electrical Engineering, Electronic Engineering, Information Engineering
  • Other Electrical Engineering, Electronic Engineering, Information Engineering


  • Electromagnetic theory-lup-obsolete

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