非线性挤压油膜阻尼器-转子系统周期解的分叉及稳定性分析  

Period Solution Bifurcation and Stability Analysis of Nonlinear Squeeze Film Damper Rotor System

作　　者：焦映厚[1] 陈照波[1] 夏松波[1] 黄文虎[1] 

机构地区：[1]哈尔滨工业大学,哈尔滨150001

出　　处：《机械科学与技术》2004年第7期879-882,共4页Mechanical Science and Technology for Aerospace Engineering

基　　金：黑龙江省自然科学基金项目 (E0 2 2 0 );国家自然科学基金重大项目(19990 510);国家重点基础研究发展规划项目(G19980 2 0 3 16)资助

摘　　要：应用油膜力数据库方法获得非线性油膜力 ,采用非线性动力系统的稳定性及分叉理论对非线性挤压油膜阻尼器 转子系统非线性动力特性、非协调运动及周期解分叉的稳定性进行了分析。揭示了SFD 转子系统在特定参数范围内存在系统亚谐波、概周期和混沌等非协调运动 ,及从同步周期运动分叉发生一系列倍周期运动、最后导致转子 轴承系统混沌运动的过程。数值计算得到了SFD 转子系统发生周期解分叉时的分叉点、分叉图及周期解分叉而失稳的 3种情况 :即鞍结分叉、Hopf分叉及倍周期分叉。最后采用Floquet理论对SFD 转子系统的稳定性进行了分析。研究结果为实际SFD 转子系统的设计和研究提供了理论依据。The oil film forces of squeeze film damper were obtained from database method, the nonlinear dynamic characteristics, nonsynchronous motion and period solution bifurcation and stability for nonlinear SFD rotor system was investigated based on stability and bifurcation theory of nonlinear dynamics system. The sub harmonious, quasi period, chaotic motions and a cascade of period doubling bifurcation happens and then lead to chaotic motion is illustrated. The bifurcation points, bifurcation diagram and three circumstances of period solution bifurcation leading to unstability are acquired for SFD rotor system, namely saddle node bifurcation, Hopf bifurcation and period doubling bifurcation. Floquet theory are chosen to analyze the stability of SFD rotor system

关 键 词：挤压油膜阻尼器 动力特性 油膜力 教据库 

分 类 号：V231.9[航空宇航科学与技术—航空宇航推进理论与工程] TH117[机械工程—机械设计及理论]