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Time domain Green functions for the homogeneous Timoshenko beam

Publiceringsår: 1996
Språk: Engelska
Sidor: 19
Publikation/Tidskrift/Serie: Technical Report LUTEDX/(TEAT-7047)/1-19/(1996)
Dokumenttyp: Rapport
Ytterligare information: Published version: Q. J. Mech. Appl. Math., 51(1), 125-141, 1998.


In this paper, wave splitting technique is applied to a homogeneous Timoshenko
beam. The purpose is to obtain a diagonal equation in terms of the
split fields. These fields are calculated in the time domain from an appropriate
set of boundary conditions. The fields along the beam are represented as
a time convolution of Green functions with the excitation. The Green functions
do not depend on the wave fields but only on the parameters of the
beam. Green functions for a Timoshenko beam are derived, and the exponential
behaviour of these functions as well as the split modes are discussed.
A transformation that extracts the exponential part is performed. Some numerical
examples for various loads are presented and compared with results
appearing in the literature.



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


  • Electromagnetic theory

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