Papers Published

1. Virgin, L.N. and Begley, C.J., Nonlinear features in the dynamics of an impact-friction oscillator, AIP Conf. Proc. (USA) no. 502 (2000), pp. 469 - 75 [1.1302423] .
   (last updated on 2007/03/23)

   Abstract:
   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

   Keywords:
   bifurcation;classical mechanics;impact (mechanical);nonlinear dynamical systems;oscillations;