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Application of the harmonic balance principle to the nonlinear free vibration of beams

✍ Scribed by Mazen I. Qaisi

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
440 KB
Volume
40
Category
Article
ISSN
0003-682X

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✦ Synopsis

A BS TRA CT

This paper presents an analytical method for determining the vibration modes of geometrically nonlinear beams under various edge conditions. The method assumes a continuum periodic solution which allows the harmonic balance principle to be employed to derive modal components that satisfy the equation of motion exactly. Nonlinear normal modes are constructed from Jour such components and used to compute the natural frequencies Jor beams with restrained ends and Jor cantilevered beams. Numerical results for beams with restrained ends show good agreement with those available from other techniques.

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