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Dynamic response of a constrained axially loaded beam

Svensson, Ingrid LU (2002) In Journal of Sound and Vibration 252(4). p.739-749
Abstract
A dynamic beam system loaded harmonically in the axial direction and constrained in the transverse direction is modelled using different theoretical descriptions. Results from an experimental set-up are compared to calculations using Bernoulli as well as Timoshenko beam theories. Some results from investigations of this beam system unveiling its chaotic nature have earlier been presented, but here the refining of Timoshenko theory is done in order to get a better understanding of the influence of the impacts on the beam motion. The free motion of the beam is described as a finite sum of modes, while at impact an infinite number of modes is considered, albeit approximately. These ideas were also used for the Bernoulli beam, but... (More)
A dynamic beam system loaded harmonically in the axial direction and constrained in the transverse direction is modelled using different theoretical descriptions. Results from an experimental set-up are compared to calculations using Bernoulli as well as Timoshenko beam theories. Some results from investigations of this beam system unveiling its chaotic nature have earlier been presented, but here the refining of Timoshenko theory is done in order to get a better understanding of the influence of the impacts on the beam motion. The free motion of the beam is described as a finite sum of modes, while at impact an infinite number of modes is considered, albeit approximately. These ideas were also used for the Bernoulli beam, but modifications will be made here to account for the modal equations of fourth order in time for the Timoshenko beam. The investigation is complemented with new experiments. (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
Journal of Sound and Vibration
volume
252
issue
4
pages
739 - 749
publisher
Elsevier
external identifiers
  • wos:000176229000008
  • scopus:0037046694
ISSN
0022-460X
DOI
10.1006/jsvi.2001.3802
language
English
LU publication?
yes
id
d4fffca8-2db7-4435-a2b1-6b2cdae821cc (old id 335488)
date added to LUP
2008-02-25 16:07:06
date last changed
2017-01-01 07:13:31
@article{d4fffca8-2db7-4435-a2b1-6b2cdae821cc,
  abstract     = {A dynamic beam system loaded harmonically in the axial direction and constrained in the transverse direction is modelled using different theoretical descriptions. Results from an experimental set-up are compared to calculations using Bernoulli as well as Timoshenko beam theories. Some results from investigations of this beam system unveiling its chaotic nature have earlier been presented, but here the refining of Timoshenko theory is done in order to get a better understanding of the influence of the impacts on the beam motion. The free motion of the beam is described as a finite sum of modes, while at impact an infinite number of modes is considered, albeit approximately. These ideas were also used for the Bernoulli beam, but modifications will be made here to account for the modal equations of fourth order in time for the Timoshenko beam. The investigation is complemented with new experiments.},
  author       = {Svensson, Ingrid},
  issn         = {0022-460X},
  language     = {eng},
  number       = {4},
  pages        = {739--749},
  publisher    = {Elsevier},
  series       = {Journal of Sound and Vibration},
  title        = {Dynamic response of a constrained axially loaded beam},
  url          = {http://dx.doi.org/10.1006/jsvi.2001.3802},
  volume       = {252},
  year         = {2002},
}