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Time domain Green functions for the homogeneous Timoshenko beam

Folkow, Peter D.; Kristensson, Gerhard LU and Olsson, Peter (1996) In Technical Report LUTEDX/(TEAT-7047)/1-19/(1996) TEAT-7047.
Abstract
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... (More)
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. (Less)
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organization
publishing date
type
Book/Report
publication status
published
subject
in
Technical Report LUTEDX/(TEAT-7047)/1-19/(1996)
volume
TEAT-7047
pages
19 pages
publisher
[Publisher information missing]
language
English
LU publication?
yes
id
d67644f4-a9c0-4380-aecf-838943d67550 (old id 530361)
date added to LUP
2007-09-06 15:00:11
date last changed
2016-10-11 08:40:24
@misc{d67644f4-a9c0-4380-aecf-838943d67550,
  abstract     = {In this paper, wave splitting technique is applied to a homogeneous Timoshenko<br/><br>
beam. The purpose is to obtain a diagonal equation in terms of the<br/><br>
split fields. These fields are calculated in the time domain from an appropriate<br/><br>
set of boundary conditions. The fields along the beam are represented as<br/><br>
a time convolution of Green functions with the excitation. The Green functions<br/><br>
do not depend on the wave fields but only on the parameters of the<br/><br>
beam. Green functions for a Timoshenko beam are derived, and the exponential<br/><br>
behaviour of these functions as well as the split modes are discussed.<br/><br>
A transformation that extracts the exponential part is performed. Some numerical<br/><br>
examples for various loads are presented and compared with results<br/><br>
appearing in the literature.},
  author       = {Folkow, Peter D. and Kristensson, Gerhard and Olsson, Peter},
  language     = {eng},
  pages        = {19},
  publisher    = {ARRAY(0xa31a440)},
  series       = {Technical Report LUTEDX/(TEAT-7047)/1-19/(1996)},
  title        = {Time domain Green functions for the homogeneous Timoshenko beam},
  volume       = {TEAT-7047},
  year         = {1996},
}