RESEARCH IN STABILITY OF PERIODIC MOTION,BIFURCATION AND CHAOS IN A VIBRATORY SYSTEM WITH A CLEARANCE  

作　　者：LuoGuanwei XieJianhua 

机构地区：[1]DepartmentofMechanicalEngineering,LanzhouJiaotongUniversity,Lanzhou730070,China [2]DepartmentofEngineeringMechanics,SouthwestJiaotongUniversity,Chengdu610031,China

出　　处：《Acta Mechanica Solida Sinica》2003年第2期127-133,共7页固体力学学报（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Nos.10172042 and 10072051);Science Foundation of Education Ministry of China for Ph.D Programmes (No.20010613001).

摘　　要：A two-degrees-of-freedom vibratory system with a clearance or gap is under con- sideration based on the Poincaré map.Stability and local bifurcation of the period-one double- impact symmetrical motion of the system are analyzed by using the equation of map.The routes from periodic impact motions to chaos,via pitchfork bifurcation,period-doubling bifurcation and grazing bifurcation,are studied by numerical simulation.Under suitable system parameter con- ditions,Neimark-Sacker bifurcations associated with periodic impact motion can occur in the two-degrees-of-freedom vibro-impact system.A two-degrees-of-freedom vibratory system with a clearance or gap is under con- sideration based on the Poincaré map.Stability and local bifurcation of the period-one double- impact symmetrical motion of the system are analyzed by using the equation of map.The routes from periodic impact motions to chaos,via pitchfork bifurcation,period-doubling bifurcation and grazing bifurcation,are studied by numerical simulation.Under suitable system parameter con- ditions,Neimark-Sacker bifurcations associated with periodic impact motion can occur in the two-degrees-of-freedom vibro-impact system.

关 键 词：CLEARANCE VIBRO-IMPACT STABILITY BIFURCATION CHAOS 

分 类 号：O32[理学—一般力学与力学基础] O415.5[理学—力学]