中文摘要：

以小型振动冲击式打桩机为研究对象,分析了系统的1/n单碰周期运动经周期倍化分岔、Hopf分岔通向混沌运动的动力学行为.使用外加正弦激振力的控制方法,以1/n单碰周期运动的碰前时间ωt=2nπ作为期望目标,碰前时间ωtn的实时测量值作为实际输出,根据两者间的误差值动态调节控制参数F,将系统的多碰周期运动、概周期运动和混沌控制到1/n单碰周期运动的轨道.仿真结果表明：在较短的时间内,系统的分岔行为和混沌得到了抑制。

英文摘要：

A small vibro-impact pile driver is considered.The dynamic behaviours from 1/n single-impact periodic motions to chaotic motion via period-doubling bifurcation and Hopf bifurcation are analyzed.The multi-impact periodic motion,quasi-periodic motion and chaos in the system are effectively controlled to the 1/n single-impact periodic motion by applying an external sine driving force.The control parameter F is dynamically adjusted according to some real-time algorism re-lated to an error between the practical output and the desired target,choosing the timeωt=2nπat the instant of the former impact of 1/n single-impact periodic motions as the desired target,and the practical output is the real time test value of the timeωtn at the instant of the former impact. The simulated results show that bifurcation behaviors and chaotic motion are suppressed in a very short period of time.