Time domain Green functions for the homogeneous Timoshenko beam
(1996) In Technical Report LUTEDX/(TEAT-7047)/1-19/(1996)- 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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/530361
- author
- Folkow, Peter D. ; Kristensson, Gerhard LU and Olsson, Peter
- organization
- publishing date
- 1996
- type
- Book/Report
- publication status
- published
- subject
- in
- Technical Report LUTEDX/(TEAT-7047)/1-19/(1996)
- pages
- 19 pages
- publisher
- [Publisher information missing]
- report number
- TEAT-7047
- language
- English
- LU publication?
- yes
- additional info
- Published version: Q. J. Mech. Appl. Math., 51(1), 125-141, 1998.
- id
- d67644f4-a9c0-4380-aecf-838943d67550 (old id 530361)
- date added to LUP
- 2016-04-04 14:30:42
- date last changed
- 2018-11-21 21:20:44
@techreport{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}},
institution = {{[Publisher information missing]}},
language = {{eng}},
number = {{TEAT-7047}},
series = {{Technical Report LUTEDX/(TEAT-7047)/1-19/(1996)}},
title = {{Time domain Green functions for the homogeneous Timoshenko beam}},
url = {{https://lup.lub.lu.se/search/files/6377206/624885.pdf}},
year = {{1996}},
}