✦ LIBER ✦

NON-LINEAR BEAM OSCILLATIONS EXCITED BY LATERAL FORCE AT COMBINATION RESONANCE

✍ Scribed by K.V. AVRAMOV

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 412 KB
Volume: 257
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.2002.5043

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✦ Synopsis

Non-linear oscillations of a beam subjected to a periodic force at a combination resonance are considered. Using the Galerkin method, a partial differential equation of oscillations is reduced to a system of ordinary differential equations with a small parameter. A system of three autonomous differential equations is derived, the multiple scales method being used. Qualitative properties of trajectories are analyzed. The Naimark-Sacker bifurcations at the combination resonance are analyzed by the center manifold method. Almost-periodic oscillations of a beam arise due to these bifurcations. These oscillations are investigated qualitatively and numerically.

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