Nonlinear vibration of a quarter‐car model excited by the road surface profile | Zendy

Litak Grzegorz | Zendy; Borowiec Marek | Zendy

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Nonlinear vibration of a quarter‐car model excited by the road surface profile

Author(s) -

Litak Grzegorz,

Borowiec Marek

Publication year - 2008

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.200810893

Subject(s) - homoclinic orbit , duffing equation , homoclinic bifurcation , nonlinear system , bifurcation , vibration , physics , quarter (canadian coin) , kinematics , classical mechanics , mathematics , mathematical analysis , quantum mechanics , archaeology , history

We examine the Melnikov criterion for a transition to chaos in case of a single–degree–of–freedom nonlinear oscillator with the Duffing potential with a nonlinear hard stiffness and a kinematic excitation term caused by the road profile. Using the new effective Hamiltonian we have examined appearance of homoclinic orbits in a quarter car model. Cross–sections of stable and unstable manifolds defined the condition of transition to chaos through a homoclinic bifurcation. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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