振动与冲击
振動與遲擊
진동여충격
JOURNAL OF VIBRATION AND SHOCK
2014年
13期
19-25
,共7页
弯扭耦合%转子系统%非线性振动%碰摩
彎扭耦閤%轉子繫統%非線性振動%踫摩
만뉴우합%전자계통%비선성진동%팽마
coupled bending and torsion%rotor system%nonlinear vibration%rub-impact
通过采用Lagrange方程推导出不平衡转子系统弯扭耦合非线性振动的动力学微分方程组，应用数值方法分析了在摩擦力作用下转子系统的弯扭耦合振动特性。最终通过对分叉图、三维谱图、时域曲线图、相图和Poincaré截面的分析，得到了摩擦力作用下转子系统中蕴含的各种复杂非线性动力学行为，并分析转子系统阻尼比对系统动态响应特性的影响。所揭示的振动特性为转子系统的状态识别、诊断和安全经济运行提供一定的理论依据。
通過採用Lagrange方程推導齣不平衡轉子繫統彎扭耦閤非線性振動的動力學微分方程組，應用數值方法分析瞭在摩抆力作用下轉子繫統的彎扭耦閤振動特性。最終通過對分扠圖、三維譜圖、時域麯線圖、相圖和Poincaré截麵的分析，得到瞭摩抆力作用下轉子繫統中蘊含的各種複雜非線性動力學行為，併分析轉子繫統阻尼比對繫統動態響應特性的影響。所揭示的振動特性為轉子繫統的狀態識彆、診斷和安全經濟運行提供一定的理論依據。
통과채용Lagrange방정추도출불평형전자계통만뉴우합비선성진동적동역학미분방정조，응용수치방법분석료재마찰력작용하전자계통적만뉴우합진동특성。최종통과대분차도、삼유보도、시역곡선도、상도화Poincaré절면적분석，득도료마찰력작용하전자계통중온함적각충복잡비선성동역학행위，병분석전자계통조니비대계통동태향응특성적영향。소게시적진동특성위전자계통적상태식별、진단화안전경제운행제공일정적이론의거。
A coupled bending and torsion nonlinear dynamics model of rotor-bearing system was presented.The equations of unbalance rotor were established by the Lagrange approach and the coupled vibration characteristics of the rotor system under rub-impact was analyzed through numerical calculation.The bifurcation diagrams,waterfall plots,time domain charts,phase phane portraits and Poincaré maps were obtained to analyze dynamic characteristics of the system and the results reveal the multiform complex nonlinear dynamic behavior of the rotor-bearing system under rub-impact. Moreover,the influence of the damping ratio on vibrations of the rotor system was analyzed.These analysis results provide theoretical bases for the rotor system’s status recognition,diagnosis as well as safe and economic operation.
