DYNAMICS OF A HARMONICALLY EXCITED OSCILLATOR WITH DRY-FRICTION ON A SINUSOIDALLY TIME-VARYING, TRAVELING SURFACE

DOI10.1142/S0218127406016975zbMath1140.70471OpenAlexW2141306188MaRDI QIDQ5297808

Brandon C. Gegg, Albert C. J. Luo

Publication date: 13 July 2007

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

Full work available at URL: https://doi.org/10.1142/s0218127406016975

zbMATH Keywords

discontinuous dynamical systemgrazing bifurcationfriction-induced oscillatorstick (or sliding) bifurcation

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Bifurcations and instability for nonlinear problems in mechanics (70K50) Problems involving a system of particles with friction (70F40) Discontinuous ordinary differential equations (34A36) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (12)

A Parameter Study on Periodic Motions in a Discontinuous Dynamical System with Two Circular Boundaries ⋮ Periodic Orbits in a Second-Order Discontinuous System with an Elliptic Boundary ⋮ Discontinuous dynamics of a non-linear, self-excited, friction-induced, periodically forced oscillator ⋮ On motions and switchability in a periodically forced, discontinuous system with a parabolic boundary ⋮ Periodic motions in a simplified brake system with a periodic excitation ⋮ Sliding and transversal motions on an inclined boundary in a periodically forced discontinuous system ⋮ Grazing bifurcations of a harmonically excited oscillator moving on a time-varying translation belt ⋮ Grazing bifurcation in aeroelastic systems with freeplay nonlinearity ⋮ Flow switchability and periodic motions in a periodically forced, discontinuous dynamical system ⋮ SINGULARITY, SWITCHABILITY AND BIFURCATIONS IN A 2-DOF, PERIODICALLY FORCED, FRICTIONAL OSCILLATOR ⋮ Sliding Motions on a Periodically Time-varying Boundary for a Friction-induced Oscillator ⋮ On Existence and Bifurcations of Periodic Motions in Discontinuous Dynamical Systems

Cites Work

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• Friction oscillator excited by moving base and colliding with a rigid or deformable obstacle
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• Dynamics of oscillators with strongly nonlinear asymmetric damping
• Grazing phenomena in a periodically forced, friction-induced, linear oscillator
• On the dynamic response of a system with dry friction
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• Harmonic balance/Galerkin method for non-smooth dynamic systems
• The mapping dynamics of periodic motions for a three-piecewise linear system under a periodic excitation
• Imaginary, sink and source flows in the vicinity of the separatrix of non-smooth dynamic systems
• Stick and non-stick periodic motions in periodically forced oscillators with dry friction
• Response of a base excited system with Coulomb and viscous friction
• Chaos in a Forced Dry-Friction Oscillator: Experiments and Numerical Modelling
• Applications of unilateral multibody dynamics
• STABILITY OF PIECEWISE LINEAR OSCILLATORS WITH VISCOUS AND DRY FRICTION DAMPING
• A GLOBAL PERIOD-1 MOTION OF A PERIODICALLY EXCITED, PIECEWISE-LINEAR SYSTEM
• Differential equations with discontinuous right-hand side

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