PERIODIC MOTIONS OF AN IMPACT OSCILLATOR

Non-linear equations governing N impact periodic motions of a single-d egree-of-freedom oscillator under a sinusoidal and bias force contacti ng rigid amplitude constraints on one or both sides have been develope d with constant and velocity dependent coefficients of restitution. Th ey also govern period doubling motions. Additionally, exact closed for m expressions have been developed for one and two equispaced and non-e quispaced impacts per cycle motions. Theoretical predictions agreed wi th previous results and with results obtained using a numerical simula tion approach. Effects of amplitude and frequency of sinusoidal force, bias force, damping, and variable and constant coefficients of restit ution on periodic motions are investigated. (C) 1998 Academic Press Li mited.