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Wave splitting of the Timoshenko beam equation in the time domain

Författare:
Publiceringsår: 1993
Språk: Engelska
Sidor: 14
Publikation/Tidskrift/Serie: Technical Report LUTEDX/(TEAT-7027)/1-14/(1993)
Dokumenttyp: Rapport
Ytterligare information: Published version: Zeitschrift für angewandte Mathematik und Physik 45, 866-881, 1994.

Sammanfattning

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.

Disputation

Nyckelord

  • Technology and Engineering

Övriga

Published
TEAT-7027

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