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Wave splitting of the Timoshenko beam equation in the time domain

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Author

Summary, in English

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.

Publishing year

1994

Language

English

Pages

866-881

Publication/Series

Zeitschrift für Angewandte Mathematik und Physik

Volume

45

Issue

6

Document type

Journal article

Publisher

Birkhäuser Verlag

Topic

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

Status

Published

Research group

  • Electromagnetic theory

ISBN/ISSN/Other

  • ISSN: 1420-9039