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Vibration analysis of timoshenko beams with non-homogeneity and varying cross-section

โœ Scribed by X. Tong; B. Tabarrok; K.Y. Yeh

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
490 KB
Volume
186
Category
Article
ISSN
0022-460X

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โœฆ Synopsis

In this paper, an analytic solution for free and forced vibrations of stepped Timoshenko beams is presented and used for the approximate analysis of generally non-uniform Timoshenko beams. In the case of free vibrations, the frequency equation is expressed in terms of some initial parameters at one end of the beam; while in the case of forced vibrations, the solution may be obtained by solving a set of algebraic equations with only two unknowns. Several examples are presented to illustrate the validity and accuracy of the analysis.

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