THE DYNAMICS OF TWO PARAMETRICALLY EXCITED PENDULA WITH IMPACTS

DOI10.1142/S0218127405013095zbMath1092.70515MaRDI QIDQ5474274

D. Dane Quinn

Publication date: 23 June 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

method of averagingcoefficient of restitutionnonlinear Mathieu equation

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Collision of rigid or pseudo-rigid bodies (70F35)

Related Items (6)

Dynamics of an impact-progressive system ⋮ Dynamic analysis and suppressing chaotic impacts of a two-degree-of-freedom oscillator with a clearance ⋮ 1:3 resonance bifurcation of a three-degree-of-freedom vibratory system with symmetrical rigid stops ⋮ Periodic orbits, damped transitions and targeted energy transfers in oscillators with vibro-impact attachments ⋮ Periodic-impact motions and bifurcations in dynamics of a plastic impact oscillator with a frictional slider ⋮ Controlling bifurcation and chaos of a plastic impact oscillator

Cites Work

• Hopf bifurcations and chaos of a two-degree-of-freedom vibro-impact system in two strong resonance cases
• Dynamics of a two-pendulum model with impact interaction and an elastic support
• Melnikov’s method and Arnold diffusion for perturbations of integrable Hamiltonian systems
• The Onset of Chaos in a Two-Degree-of-Freedom Impacting System
• A periodically forced piecewise linear oscillator
• Impacts in mechanical systems. Analysis and modelling. Papers from the Euromech Colloquium 397, Grenoble, France, June 30--July 2, 1999

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