A nonsmooth coulomb friction oscillator
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Cited by (53)
Vibration energy flow transmission in systems with Coulomb friction
2022, International Journal of Mechanical SciencesCitation Excerpt :Aperiodic motions containing two distinct frequency components were found. Feeny [21] applied a qualitative technique to describe the dynamics of a forced multi-valued Coulomb friction oscillator and constructed a strange attractor for chaotic motion. Moreover, the geometric nature of the chaotic attractor was described using the experimental Poincare maps by attaching a harmonically excited mass to the end of a cantilevered elastic beam [22].
Discontinuous dynamic analysis of a class of three degrees of freedom mechanical oscillatory systems with dry friction and one-sided rigid impact
2020, Mechanism and Machine TheoryCitation Excerpt :A few years later, Shaw [24] considered the stability analysis of the periodic motions in a 1-DOF system with Coulomb damping mechanism. In 1992, Feeny [25] geometrically analyzed a non–smooth Coulomb friction oscillator, and observed the nature of flow in each solvability region and constructed a strange attractor for chaotic motion. Cone and Zadoks [26] studied the dynamical responses of a friction oscillator with impact based on bifurcation theory, and carried out numerical simulation on the motions in such an oscillation system in 1995.
Experimental study of regular and chaotic transients in a non-smooth system
2016, International Journal of Non-Linear MechanicsPeriodic motions in a simplified brake system with a periodic excitation
2009, Communications in Nonlinear Science and Numerical SimulationCitation Excerpt :In 1986, Shaw [9] investigated the non-stick, periodic motions of the friction oscillators through Poincaré mapping. In 1992, Feeny [10] analytically investigated the non-smoothness of the Coulomb friction oscillator. To verify the analytic results, in 1994, Feeny and Moon [11] investigated chaotic dynamics of a dry-friction oscillator experimentally and numerically.
Existence of slip and stick periodic motions in a non-smooth dynamical system
2008, Chaos, Solitons and FractalsExistence and analytical predictions of periodic motions in a periodically forced, nonlinear friction oscillator
2008, Journal of Sound and Vibration
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This work was done at the department of Theoretical and Applied Mechanics, Cornell University, Ithaca, New York 14853.