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Asymptotic Formulas for the Eigenvalues of the Timoshenko Beam

✍ Scribed by Bruce Geist; Joyce R. McLaughlin

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
266 KB
Volume
253
Category
Article
ISSN
0022-247X

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✦ Synopsis

Asymptotic formulas are derived for the eigenvalues of a free-ended Timoshenko beam which has variable mass density and constant beam parameters Ε½ otherwise. These asymptotic formulas show how the eigenvalues and hence how . the natural frequencies of such a beam depend on the material and geometric parameters which appear as coefficients in the Timoshenko differential equations.

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