非线性Jeffcott转子-滚动轴承系统动力学分析  

Dynamics Analysis of a Nonlinear Rolling Bearing-Jeffcott Rotor System

作　　者：王彦生[1] 张耀强[1] 张彦斌[1] 张淑芬[1] 胡可军[1] 

机构地区：[1]河南科技大学建筑工程学院,洛阳471003

出　　处：《振动．测试与诊断》2010年第4期367-370,共4页Journal of Vibration,Measurement & Diagnosis

基　　金：国家自然科学基金资助项目(编号:50905055);河南省重点科技攻关资助项目(编号:092102210250)

摘　　要：为了研究Jeffcott转子-滚动轴承系统的非线性动力特性,建立了其非线性动力学方程,并用自适应Runge-Kutta-Felhberg算法对其求解。利用分岔图、Poincaré映射图和频谱图,分析了参数、强迫联合激励的Jeffcott转子-滚动轴承系统的响应、分岔和混沌等非线性动力特性。结果表明,Jeffcott转子-滚动轴承系统有多种周期和混沌响应形式,其振动频率不仅有参数振动频率成分和强迫振动频率成分,而且有二者的倍频成分和组合频率成分;Jeffcott转子-滚动轴承系统的非线性特性随着径向游隙的增大而加剧。To study the nonlinear dynamic behavior of a rolling bearing-Jeffcott rotor system,the governing differential equations of motion of the system are established and solved by Runge-Kutta-Felhberg algorithm.The nonlinear dynamic behavior of the system are illustrated by means of bifurcation diagrams,Poincaremaps and frequency spectrum diagrams.Numerical results show that periodic response with various frequencies,including external forcing frequency,parametrical forcing frequency,or the linear combinations of them and chaotic response may exist.It is also shown that increase of radial internal clearance may enhance nonlinearity of the system.

关 键 词：转子-滚动轴承系统 非线性动力学 分岔 混沌 

分 类 号：TH117.2[机械工程—机械设计及理论] TH113.1