应用力学学报
應用力學學報
응용역학학보
CHINESE JOURNAL OF APPLIED MECHANICS
2010年
1期
173-178
,共6页
李朝峰%任朝晖%刘杰%闻邦椿
李朝峰%任朝暉%劉傑%聞邦椿
리조봉%임조휘%류걸%문방춘
转子-轴承系统%分岔%稳定性%降维%失稳转速
轉子-軸承繫統%分岔%穩定性%降維%失穩轉速
전자-축승계통%분차%은정성%강유%실은전속
rotor-bearing system%bifurcation%stability%dimensionality reduction%instability speed
建立考虑诸多因素的转子-轴承系统多自由度模型,将与Newmark结合的打靶法应用到多自由度转子-轴承系统的周期稳定性分析中.着重研究了转子-轴承系统失稳转速随系统偏心量、轴承间隙、润滑油动力粘度以及轴承长径比的变化规律,研究结果表明:提高系统偏心量、减小轴承间隙、增大润滑油动力粘度以及选择适当的轴承长径比均能提高转子-轴承系统的失稳转速;对于不同的参数值,系统表现出不同的分岔规律,系统发生半速涡动时表现为倍周期分岔或拟周期分岔,发生油膜振荡时则表现为拟周期分岔.
建立攷慮諸多因素的轉子-軸承繫統多自由度模型,將與Newmark結閤的打靶法應用到多自由度轉子-軸承繫統的週期穩定性分析中.著重研究瞭轉子-軸承繫統失穩轉速隨繫統偏心量、軸承間隙、潤滑油動力粘度以及軸承長徑比的變化規律,研究結果錶明:提高繫統偏心量、減小軸承間隙、增大潤滑油動力粘度以及選擇適噹的軸承長徑比均能提高轉子-軸承繫統的失穩轉速;對于不同的參數值,繫統錶現齣不同的分岔規律,繫統髮生半速渦動時錶現為倍週期分岔或擬週期分岔,髮生油膜振盪時則錶現為擬週期分岔.
건립고필제다인소적전자-축승계통다자유도모형,장여Newmark결합적타파법응용도다자유도전자-축승계통적주기은정성분석중.착중연구료전자-축승계통실은전속수계통편심량、축승간극、윤활유동력점도이급축승장경비적변화규률,연구결과표명:제고계통편심량、감소축승간극、증대윤활유동력점도이급선택괄당적축승장경비균능제고전자-축승계통적실은전속;대우불동적삼수치,계통표현출불동적분차규률,계통발생반속와동시표현위배주기분차혹의주기분차,발생유막진탕시칙표현위의주기분차.
A nonlinear continuum model of the flexible rotor-bearing system is established with some important factors being considered,the bifurcation and stability of the periodic motions of system are studied by using the continuation-shooting algorithm combined with the Newmark method.This paper focuses on that the instability speed changes with the eccentricity of the rotor,the clearance of the bearing,the oil viscidity of the bearing and the length-to-diameter ratio,of the bearing.The results show that the stability may be improved by increasing the eccentricity of the rotor,reducing the clearance of the bearing,increasing the oil viscidity and choosing an appropriate length-to-diameter ratio of the bearings.Furthermore,the different kinds of bifurcation appear with different parameters.The half speed swirling occurs through the period-doubling and the quasi-period bifurcation,and the oil whip phenomenon appeared through the quasi-period motion.The conclusions have provided a theoretical reference for vibration control and stability design of the more complex rotor-bearing system.