BIFURCATION AND CHAOS OF MULTI-DEGREE-OF-FREEDOMSYSTEM WITH CLEARANCE

An important field in vibration engineering is the dynamics of mechanical systems with piecewise smooth features, such as clearance, constraint, friction and hysteresis Bifurcation and chaos of a three degree of freedom system with a pair of symmetric set up elastic stops is investigated by numerical simulations and analytical method The results of system responses show that routes to chaos from period doubling, or quasi periodic, period doubling with Neimark Sarker bifurcation, period doubling with pitchfork bifurcation are rather complicated It is helpful to optimize system parameter of a practical system by investigation of bifurcation and chaos