✦ LIBER ✦

VIBRATIONS OF NON-UNIFORM CONTINUOUS BEAMS UNDER MOVING LOADS

✍ Scribed by Y.A. DUGUSH; M. EISENBERGER

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 289 KB
Volume: 254
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.2001.4135

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✦ Synopsis

The dynamic behavior of multi-span non-uniform beams transversed by a moving load at a constant and variable velocity is investigated. The continuous beam is modelled using Bernoulli}Euler beam theory. The solution is obtained by using both the modal analysis method and the direct integration method. The natural frequencies and mode shapes used in the solution of this problem are obtained exactly by deriving the exact dynamic sti!ness matrices for any polynomial variation of the cross-section along the beam using the exact element method. The mode shapes are expressed as in"nite polynomial series. Using the exact mode shapes yields the exact solution for general variation of the beam section in case of constant and variable velocity. Numerical examples are presented in order to demonstrate the accuracy and the e!ectiveness of the present study, and the results are compared to previously published results.

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