双质体冲击振动成型机周期运动的稳定性与全局分岔  

STABILITY AND GLOBAL BIFURCATIONS OF PERIODIC MOTIONS OF A VIBRO-IMPACT FORMING MACHINE WITH DOUBLE MASSES

作　　者：罗冠炜[1] 谢建华[2] 

机构地区：[1]兰州铁道学院机械工程系,甘肃兰州730070 [2]西南交通大学应用力学与工程系,四川成都610031

出　　处：《工程力学》2004年第1期118-124,共7页Engineering Mechanics

基　　金：国家自然科学基金资助项目(10172042);教育部博士点基金资助项目(20010613001)

摘　　要：基于Poincar映射方法对双质体冲击振动成型机的动力学行为进行了分析,讨论了单冲击周期n运动的稳定性与局部分岔。通过数值仿真研究了双质体冲击振动成型机的周期运动向混沌运动演化的全局分岔过程,分析了系统参数对单冲击周期1运动、单冲击周期2次谐运动及混沌运动的影响。A vibro-impact forming machine with double masses and a harmonic excitation is studied based on the Poincaré mapping in this paper. Stability and local bifurcations of single-impact motion of period n are analyzed using bifurcation theory of mapping. Global bifurcation of single-impact motion of period n and transition to chaos are investigated by numerical simulations. The influences of system parameters on single impact period-one motion, single impact subharmonic motion and chaos are discussed. It is found that the stability and global bifurcations of the vibro-impact forming machine have important significance in optimization design and noise suppression of the machine.

关 键 词：冲击振动 周期运动 稳定性 分岔 混沌 

分 类 号：O322[理学—一般力学与力学基础]