Advanced

Time domain Green functions for the homogeneous Timoshenko beam

Folkow, Peter D.; Kristensson, Gerhard LU and Olsson, Peter LU (1998) In Quarterly Journal of Mechanics and Applied Mathematics 51(1). p.125-141
Abstract
In this paper a 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... (More)
In this paper a 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. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Quarterly Journal of Mechanics and Applied Mathematics
volume
51
issue
1
pages
125 - 141
publisher
Oxford University Press
external identifiers
  • scopus:0032001619
ISSN
0033-5614
DOI
10.1093/qjmam/51.1.125
language
English
LU publication?
yes
id
1b54c788-1647-4732-91bc-4e5206b59b66 (old id 143279)
date added to LUP
2007-06-28 10:40:11
date last changed
2017-01-01 06:49:07
@article{1b54c788-1647-4732-91bc-4e5206b59b66,
  abstract     = {In this paper a 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.},
  author       = {Folkow, Peter D. and Kristensson, Gerhard and Olsson, Peter},
  issn         = {0033-5614},
  language     = {eng},
  number       = {1},
  pages        = {125--141},
  publisher    = {Oxford University Press},
  series       = {Quarterly Journal of Mechanics and Applied Mathematics},
  title        = {Time domain Green functions for the homogeneous Timoshenko beam},
  url          = {http://dx.doi.org/10.1093/qjmam/51.1.125},
  volume       = {51},
  year         = {1998},
}