Wave splitting of the Timoshenko beam equation in the time domain

  • Peter Olsson
  • Gerhard Kristensson
Original Papers


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.


Mathematical Method Fourth Order Function Technique Great Success Beam Theory 


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Copyright information

© Birkhäuser Verlag 1994

Authors and Affiliations

  • Peter Olsson
    • 1
  • Gerhard Kristensson
    • 2
  1. 1.Div of MechanicsChalmers University of TechnologyGöteborg
  2. 2.Dept of Electromagnetic TheoryLund Institute of TechnologyLundSweden

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