滑动轴承-裂纹转子系统的非线性稳定性分析  

Nonlinear stability analysis of the periodic motion of the cracked rotor system

作　　者：焦映厚[1] 陈照波[1] 李海峰[1] 李明章[1] 

机构地区：[1]哈尔滨工业大学机电学院,黑龙江哈尔滨150001

出　　处：《哈尔滨工业大学学报》2004年第10期1427-1430,共4页Journal of Harbin Institute of Technology

基　　金：黑龙江省自然科学基金资助项目 (E0 2 2 0 );教育部留学归国基金资助项目;哈尔滨市学科后备带头人基金资助项目;黑龙江省自然科学基金重点资助项目

摘　　要：利用打靶法结合Floquet理论 ,对裂纹转子系统稳态周期运动的稳定性进行了分析与研究 ,揭示了裂纹转子系统同步周期运动分岔导致概周期运动与混沌运动的演变过程 .数值计算表明 :裂纹转子系统稳态周期运动失稳存在鞍结分岔、倍周期分岔和Hopf分岔三种形式 ;刚性支承裂纹转子系统周期运动失稳一般只发生在ω0 / 3和 2ω0 / 3转速附近 ,较大的裂纹方位角和适度的偏心量有利于提高系统周期运动的稳定性 ;滑动轴承支承的裂纹转子系统周期运动一般只在ω0 / 3、ω0 / 2和 2ω0 / 3转速附近发生分叉失稳 ,采用三油叶轴承支承有利于提高滑动轴承The nonlinear stability of the periodic motion of the rotor system with crack is investigated. Floquet theory and the shooting method is chosen to obtain the bifurcation patterns and the stability of periodic motions. The primary parameters affecting its stability are analyzed including unbalance, stiffness change ratio, crack angle and oil film force. It is seen that three kinds of bifurcation happened in special rotating speed can result in instability of the cracked rotor system and the stiffly supported rotor system lost stability around ω0/3 and 2ω0/3. For cracked rotor supported on rigid support, appropriate unbalance and a bigger β do favor to stability of system. For cracked rotor supported on bearings, the cracked rotor system lost stability around ω0/3, ω0/2 and 2ω0/3. Three oil loses bearing can be chosen to improve the stability of system.

关 键 词：裂纹转子 概周期运动 非线性稳定性 打靶法 混沌运动 倍周期分岔 Hopf分岔 滑动轴承 刚性支承 FLOQUET理论 

分 类 号：TH113[机械工程—机械设计及理论] O347.6[理学—固体力学]