灯泡贯流式水电机组轴系不平衡响应分析
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摘要
为能够揭示灯泡贯流式水电机组轴系的不平衡响应特性,以某型号灯泡贯流式水电机组为研究对象,基于Riccati传递矩阵法,建立其轴系动力学分析模型,首先通过求解轴系的临界转速,验证了推力轴承在轴系临界转速计算中的不可忽略性。在考虑推力轴承作用的模型基础上,重点研究了轴系重要部位存在不平衡质量时对整个轴系振动的影响情况。结果表明:在同等情况下,转轮处存在不平衡质量时,整个轴系的响应值最大;可通过求解不同转速下结点的不平衡响应来得到轴系的临界转速,且在轴系临界转速附近,轴系位移响应值会急剧增大;在同一转速下,位移响应值与不平衡量成正比。分析结果可为灯泡贯流式水电机组轴系的设计和动平衡试验提供理论参考依据。
In order to reveal the unbalance response characteristics of shaft system of bulb tubular turbine, a certain type of bulb tubular turbine is taken as the research object. Based on the Riccati transfer matrix method, the dynamics analysis model of shaft system is established. The critical speed of the shaft system is first solved, that verifies the non-negligibility of the thrust bearing in the calculation of the critical speed of the shaft system. On the basis of model, the influence of the unbalanced mass on the important shafting in the important parts of the shafting is studied. The results show that under the same conditions, when there is unbalance mass at the runner, the response value of the whole shaft system is the largest. The critical speed of the shaft system can be obtained by solving the unbalanced response of the nodes at different speeds, and when the speed of the shaft system near the critical speed, the shaft system displacement response value will increase sharply. At the same speed, the displacement response value is proportional to the unbalance mass. The analysis results can provide a theoretical reference for the design and dynamic balance test of shaft system of bulb tubular turbine.
In order to reveal the unbalance response characteristics of shaft system of bulb tubular turbine, a certain type of bulb tubular turbine is taken as the research object. Based on the Riccati transfer matrix method, the dynamics analysis model of shaft system is established. The critical speed of the shaft system is first solved, that verifies the non-negligibility of the thrust bearing in the calculation of the critical speed of the shaft system. On the basis of model, the influence of the unbalanced mass on the important shafting in the important parts of the shafting is studied. The results show that under the same conditions, when there is unbalance mass at the runner, the response value of the whole shaft system is the largest. The critical speed of the shaft system can be obtained by solving the unbalanced response of the nodes at different speeds, and when the speed of the shaft system near the critical speed, the shaft system displacement response value will increase sharply. At the same speed, the displacement response value is proportional to the unbalance mass. The analysis results can provide a theoretical reference for the design and dynamic balance test of shaft system of bulb tubular turbine.
引文
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[2] 胡绚,罗贵火,高德平.反向旋转双转子稳态响应计算分析与试验[J].航空动力学报,2007, 22 (7):1 044-1 049.
[3] Tiwari M,Gupta K,Prakash O. Dynamic response of an unbalanced rotor supported on ball bearings[J]. Journal of Sound & Vibration,2000,238(5) :757-779.
[4] Gagnol V,Bouzgarrou B C,Ray P,et al. Model-based chatter stability prediction for high-speed spindles[J].International Journal of Machine Tools & Manufacture,2007, 47(7-8) :1 176-1 186.
[5] 陈小安,陈文曲,康辉民,等. 偏心电主轴动力学分析[J].重庆大学学报,2012,35(3):26-32.
[6] Juan Xu,Xuehui Zheng,Jianjun Zhang,et al. Vibration characteristics of unbalance response for motorized spindle system ☆[J]. Procedia Engineering,2017,174:331-340.
[7] 缪红燕,高金吉,徐鸿.转子系统瞬态不平衡响应的有限元分析[J].振动与冲击,2004, 23(3):1-4.
[8] 袁惠群. 复杂转子系统的矩阵分析方法[M].沈阳:辽宁科学技术出版社,2014:53-63.
[9] 张鹏,周碧英.大型水轮发电机组轴系振动稳定性分析[J].中国农村水利水电,2007,(9):131-134.
[10] 白延年.水轮发电机设计与计算[M].北京:机械工业出版社,1982.
[11] 钟一谔. 转子动力学[M].北京:清华大学出版社,1987:41-49.
[12] 王正伟,喻疆,方源,等. 大型水轮发电机组转子动力学特性分析[J].水力发电学报, 2005,24(4):62-66.