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NON-LINEAR NORMAL MODES OF A CONTINUOUS SYSTEM

✍ Scribed by M.I. Qaisi

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
171 KB
Volume
209
Category
Article
ISSN
0022-460X

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✦ Synopsis

A power series method is presented for the computation of normal modes and frequencies of an elastic beam resting on a non-linear foundation. The equation of motion is first discretized by using the Galerkin procedure. The time-dependent generalized co-ordinates are obtained by transforming the time variable into an oscillating time which transforms the discretized equations into a form solvable by the power series method. Results are obtained for simply supported and clamped beams, and good agreement is shown for the simply supported case with the result given by the invariant manifold approach.

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