Using the extended Melnikov method to study the multi-pulse global bifurcations and chaos of a cantilever beam
- 9 January 2009
- journal article
- Published by Elsevier BV in Journal of Sound and Vibration
- Vol. 319 (1-2), 541-569
- https://doi.org/10.1016/j.jsv.2008.06.015
Abstract
No abstract availableKeywords
This publication has 51 references indexed in Scilit:
- Global bifurcations and chaotic dynamics for a string-beam coupled systemChaos, Solitons, and Fractals, 2008
- Large free vibrations of a beam carrying a moving massInternational Journal of Non-Linear Mechanics, 2003
- Dynamic stability and response of fluttered beams subjected to random follower forcesInternational Journal of Non-Linear Mechanics, 2003
- Vibration analysis on a thin plate with the aid of computation of normal formsInternational Journal of Non-Linear Mechanics, 2001
- Singular Perturbation Theory for Homoclinic Orbits in a Class of Near- Integrable Dissipative SystemsSIAM Journal on Mathematical Analysis, 1995
- Experimental Investigation of Non-Linear Modal Coupling in the Response of Cantilever BeamsJournal of Sound and Vibration, 1994
- Singular perturbation theory for homoclinic orbits in a class of near-integrable Hamiltonian systemsJournal of Dynamics and Differential Equations, 1993
- Non-linear non-planar oscillations of a cantilever beam under lateral base excitationsInternational Journal of Non-Linear Mechanics, 1990
- Non-linear non-planar parametric responses of an inextensional beamInternational Journal of Non-Linear Mechanics, 1989
- Out-of-plane vibrations of a beam including non-linear inertia and non-linear curvature effectsInternational Journal of Non-Linear Mechanics, 1978