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Time domain Green functions for the homogeneous Timoshenko beam

Publiceringsår: 1996
Språk: Engelska
Publikation/Tidskrift/Serie: Technical Report LUTEDX/(TEAT-7047)/1-19/(1996)
Volym: TEAT-7047
Dokumenttyp: Rapport
Förlag: [Publisher information missing]


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-lup-obsolete

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