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ANALYTICAL PREDICTIONS OF CHAOS IN A NON-LINEAR ROD

✍ Scribed by ALBERT C.J. LUO; RAY P.S. HAN

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
304 KB
Volume
227
Category
Article
ISSN
0022-460X

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✦ Synopsis

The resonant and chaotic conditions for non-dampened, non-linear, planar rods are developed through the Chirikov criterion, and the subharmonic bifurcation conditions for weakly dampened, non-linear, planar rods are also presented through the Melnikov method. The analytical conditions are based on a simply supported, geometrically non-linear, planar rod model with a speci"c single-mode response, but these conditions are applicable to geometrically non-linear planar rods with di!erent supports. Chaos and transient motion from chaos to periodic motion in the non-linear rod are simulated through the approximate rod model, and they are illustrated through the Poincare mapping section.

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