关键词: 分叉, 混沌, 落砂机, 碰撞, 映射, 振动, 周期运动

Abstract: Stability and local bifurcation of two kinds of inertial shakers are investigated by theoretical analysis and numerical simulations. It is demonstrated that the system can exhibit chaotic behaviour via Hopf bifurcation or doubling-periodic bifurcation of periodic impact motion. Routes from Hopf bifurcation and doubling-periodic bifurcations of periodic impact motion to chaos are discussed. The system parameters of shaker may be optimized by studying of stability and bifurcation of periodic impact motion of shaker.

Key words: Periodic motion Bifurcation Chaos, Vibro-impact Vibration Shaker Map