Nonlinear features in the dynamics of an impact-friction oscillator

Virgin, Lawrence N.; Begley, Christopher J.
February 2000
AIP Conference Proceedings;2000, Vol. 502 Issue 1, p469
Academic Journal
This paper describes a combined experimental-numerical study into some interesting local and global dynamic behavior in the response of a double-sided, harmonically-forced, impact oscillator including the influence of Coulomb damping. The system under study is modeled as piecewise linear in both its force-deflection and force-velocity characteristics. The system is initially studied with these nonlinear stiffness and friction effects considered separately, prior to focusing on the system with these effects acting simultaneously. A variety of bifurcational phenomena are observed including the occurrence of grazing (in position and velocity) bifurcations. Basins of attraction provide information regarding the complete solution set for the system, given a specific set of parameters. A gallery of experimental results augment the numerical simulation results. © 2000 American Institute of Physics.


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