Seismic response analysis of an ultra-high speed rotor system with flexible supports
BAI Yujie1, LI Shitu2, YANG Xuan3
1.Research Institute of Physical and Chemical Engineering, Tianjin 300180, China;
2.Department of Engineering Physics, Tsinghua University, Beijing 100084, China;
3.Science and Technology on Particle Transport and Separation Laboratory, Tianjin 300180, China
Abstract:The seismic response of a flexibly connected ultra-high speed rotor system using different support frames is studied. With the Ou Jinping-modified-earthquake model as input vibration wave and the rub-impact model as interaction of different bodies, the governing equation was obtained using Lagrange theory. Influence of the support frame on time domain vibration, max interacting amplitude, rub-impact lasting time, in seismic response was analyzed. It was shown that time domain response of the rotor and support frame is similar with the amplitude is about 1.5 times; max interacting amplitudes and rub-impact lasting times both increase with support frame stiffness, decrease with mass and damping monotonically; the key factor in seismic response is fundamental frequency of the support frame; when designing the support frame the constant fundamental frequency is recommended.
Key words:ultra-high speed; support frame; seismic response
白宇杰1,李诗图2,杨璇3. 一种柔性支承转子系统的地震动响应分析[J]. 振动与冲击, 2022, 41(21): 292-298.
BAI Yujie1, LI Shitu2, YANG Xuan3. Seismic response analysis of an ultra-high speed rotor system with flexible supports. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(21): 292-298.
[1] 刘男杰,方之楚. 转子-转轴系统对具有地震转动分量的地震激励的瞬态响应[J]. 上海交通大学学报, 2002(3), 363-366.
Liu Nanjie, Fang Zhichu. Transient Response of a Rotor-Bearing System to Earthquake Excitation with Rotational Components[J]. Journal Of Shanghai Jiaotong University, 2002(3), 363-366.
[2] Srinivasan V , Soni A H. Seismic analysis of a rotor-bearing system[J]. Earthquake Engineering and Structural Dynamics, 1984 , 12(2):287-311.
[3] Shimogo T, Nakano M, Aida Y. Seismic response of a flexible rotor[C]. International Conference on Vibrations in Rotating Machinery, 1980, 321–326.
[4] Hori Y, Kato T. Earthquake-induced instability of a rotor supported by oil film bearings[J]. Journal of Vibration and Acoustics, 1990, 112(2):160–165.
[5] Samali B, Kim K B, Yang J N. Random vibration of rotating machines under earthquake excitations[J]. Journal of Engineering Mechanics, 1986, 112(6):550–565.
[6] Samali B. Random vibration analysis of rotating machines under seismic excitations[C]. Australian Vibration and Noise Conference, 1990, 153–160.
[7] Kim K B, Yang J N, Lin Y K. Stochastic response of flexible rotor-bearing system to seismic excitations[J]. Probabilistic Engineering Mechanics, 1986, 1(3):122–130.
[8] Gaganis B. J.;Zisimopoulos A. K.;Nikolakopoulos P. G.;Papadopoulos C. A. Modal Analysis of Rotor on Piecewise Linear Journal Bearings Under Seismic Excitation [J] Journal of Vibration and Acoustics,1999.
[9] Singh M. P., Chang T. S., Suarez L. E.. A Response Spectrum Method for Seismic Design Evaluation of Rotating Machines[J]. Journal of Vibration and Acoustics, 1992, 114(4):454-460.
[10] 赵岩, 林家浩, 曹建华. 转子系统的平稳/非平稳随机地震响应分析[J]. 计算力学学报, 2002(01):7-11.
Zhao Yan, Lin Jiahao, Cao Jianhua. Seismic analysis of rotor system under stationary nonstationary random earthquake excitations[J]. Chinese Journal Of Computational Mechanics, 2002(01):7-11.
[11] 祝长生. 不平衡线性转子-轴承系统的非平稳地震激励响应分析[J]. 计算力学学报, 2006(03):285-289.
Zhu Changsheng. Response analysis on linear imbalanced rotor-bearing system under nonstationary random seismic excitation[J]. Chinese Journal Of Computational Mechanics, 2006(03):285-289.
[12] 陈拥军, 祝长生. 地震激励下基于LMI的转子系统振动主动控制[J]. 浙江大学学报(工学版), 2008, 42(4).
Chen Yongjun, Zhu Changsheng. Active vibration control based on linear matrix inequality for rotor system under seismic excitation[J]. Journal of ZheJiang University (Engineering Science), 2008, 42(4).
[13] 鲁周勋, 刘英哲. 转子-轴承系统对地震波的激励响应分析[J]. 机械工程学报, 1996, 32(2):1-7.
Lu Zhouxun, Liu Yingzhe. Seismic response Analysis of the rotor-bearing system[J]. Chinese Journal of Mechanical Engineering, 1996, 32(2):1-7.
[14] 富露霞, 曹名慧, 朱向哲. 地震载荷作用下转子-轴承系统动力响应特性[J]. 辽宁石油化工大学学报, 2018, 38(6):76-80.
Fu Luxia, Cao Minghui, Zhu Xiangzhe. Dynamic Response Characteristics of Rotor-Bearing System under seismic Load[J]. Journal of Liaoning Shihua University, 2018, 38(6):76-80.
[15] 毛飞, 闵鹏, 周肖佳, 等. 核主泵电机抗震分析[J]. 地震工程与工程振动, 2012, 32(05):55-59.
Mao Fei, Min Peng, Zhou Xiaojia, et al. Anti-Seismic analysis for nuclear main pump motor[J]. Journal of Earthquake Engineering and Engineering Vibration, 2012, 32(05):55-59.
[16] 谢最伟,贺少华,吴新跃.一种基于频响因子的转子系统基础冲击响应计算方法[J].振动与冲击, 2011, 30(09):221-226.
Xie Zuiwei, He Shaohua, Wu Xinyue. Shock response computation for rotor-bearing systems by use of “frequency response coefficient” method[J]. Journal of Vibration and Shock, 2011, 30(09):221-226.
[17] 王正浩,袁惠群,范改燕,等.轴承随机激励对转子系统随机响应的影响[J].振动与冲击,2013, 32(17):113-117.
Wang Zhenghao, Yuan Huiqun, Fan Gaiyan, et al. Influence of bearing random excitation on random response of rotor system[J]. Journal of Vibration and Shock, 2013, 32(17):113-117.
[18] Rao C K, Mirza S. Seismic analysis of high-speed rotating machinery[J]. Nuclear Engineering and Design, 1989, 111(3):395–402.
[19] 苏成,黄志坚,刘小璐.高层建筑地震作用计算的时域显式随机模拟法[J]. 建筑结构学报, 2015, 36(01):13-22.
Su Cheng, Huang Zhijian, Liu Xiaolu. Time-domain explicit random simulation method for seismic analysis of tall buildings[J]. Journal of Building Structures, 2015, 36(01):13-22.
[20] 彭凌云. 地震动随机模型及结构响应控制[D]. 北京工业大学, 2008.
Peng Lingyun. Stochastic model of ground and the structure response control[D]. Beijing University of Technology, 2008.
[21] 欧进萍, 朱荻涛,.杜修力 设计用随机地震动的模型及其参数确定[J]. 地震工程与工程振动, 1991, 11(3):45-54.
Ou Jinping, Zhu Ditao. Random earthquake ground motion model and its parameter determination used in aseismic design[J]. Earthquake Engineering and Engineering Vibration, 1991, 11(3):45-54.
[22] 刘耀宗. 碰摩转子混沌振动识别与控制技术研究[M]. 国防科技大学出版社, 2005.
Liu Yaozong. Research of the identification and control method in chaos vibration of rub-impact rotor systems[M]. National University of Defense and Technology Press, 2005.