SINGULARITY, SWITCHABILITY AND BIFURCATIONS IN A 2-DOF, PERIODICALLY FORCED, FRICTIONAL OSCILLATOR

DOI10.1142/S0218127413300097zbMath1270.34076OpenAlexW2151600905MaRDI QIDQ2845160

Mozhdeh S. Faraji Mosadman, Albert C. J. Luo

Publication date: 22 August 2013

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

Full work available at URL: https://doi.org/10.1142/s0218127413300097

zbMATH Keywords

bifurcation analysisdiscontinuous dynamical systemsgrazing bifurcationflow switchabilityedge flowsfrictional oscillatorsliding flows

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Forced motions for nonlinear problems in mechanics (70K40) Bifurcations and instability for nonlinear problems in mechanics (70K50) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Problems involving a system of particles with friction (70F40) Ordinary differential equations of infinite order (34A35) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (4)

Discontinuous dynamical behaviors in a 2-DOF friction collision system with asymmetric damping ⋮ Analysis of dynamical behaviors of a 2-DOF friction oscillator with elastic impacts and negative feedbacks ⋮ Analysis of dynamical behaviors of a 2-DOF vibro-impact system with dry friction ⋮ Singular dynamics for morphing aircraft switching on the velocity boundary

Cites Work

• Analytical approximations for stick-slip vibration amplitudes
• Modelling of a two-dimensional Coulomb friction oscillator
• NON-STICKING OSCILLATION FORMULAE FOR COULOMB FRICTION UNDER HARMONIC LOADING
• The mapping dynamics of periodic motions for a three-piecewise linear system under a periodic excitation
• Stick and non-stick periodic motions in periodically forced oscillators with dry friction
• On the periodic response of a harmonically excited dry friction oscillator
• ON FLOW BARRIERS AND SWITCHABILITY IN DISCONTINUOUS DYNAMICAL SYSTEMS
• SLIDING BIFURCATIONS: A NOVEL MECHANISM FOR THE SUDDEN ONSET OF CHAOS IN DRY FRICTION OSCILLATORS
• DYNAMICS OF A HARMONICALLY EXCITED OSCILLATOR WITH DRY-FRICTION ON A SINUSOIDALLY TIME-VARYING, TRAVELING SURFACE
• STABILITY OF PIECEWISE LINEAR OSCILLATORS WITH VISCOUS AND DRY FRICTION DAMPING

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