Author： Luo A.C.J. Han R.P.S.
Publisher： Academic Press
ISSN： 0022-460X
Source： Journal of Sound and Vibration, Vol.227, Iss.3, 1999-10, pp. : 523-544
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Abstract
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 specific single-mode response, but these conditions are applicable to geometrically non-linear planar rods with different 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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