Nonlinear vibration of a quarter-car model excited by the road surface profile |
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| Authors: | Grzegorz Litak Marek Borowiec |
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| Institution: | Department of Applied Mechanics, Technical University of Lublin, Nadbystrzycka 36, PL–20–618 Lublin, Poland |
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| Abstract: | 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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