✦ LIBER ✦

DYNAMIC RESPONSE OF A CONSTRAINED AXIALLY LOADED BEAM

✍ Scribed by I. SVENSSON

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 200 KB
Volume: 252
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.2001.3802

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✦ Synopsis

A dynamic beam system loaded harmonically in the axial direction and constrained in the transverse direction is modelled using di!erent 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 re"ning of Timoshenko theory is done in order to get a better understanding of the in#uence of the impacts on the beam motion. The free motion of the beam is described as a "nite sum of modes, while at impact an in"nite number of modes is considered, albeit approximately. These ideas were also used for the Bernoulli beam, but modi"cations 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.

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