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| Nonlinear modeling of the connection interface of a rod-fastened rotor with cracked rod and its multi-parameter evolution |
| XU Wenbiao1,2,WANG Ailun1,2,LIAO Zeyu2,LIU Le1,2 |
1.College of Mechanical and Electrical Engineering, Central South University, Changsha 410083, China;
2.State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha 410083, China |
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Abstract The nonlinear vibration phenomenon of a circumferential rod-fastened rotor with cracked rod is of nonlinear property.The stiffness model of the cracked rod was established based on the supposition of Paris crack propagation and the model of the disk interface contact stiffness was also established, by which the preloading effect of the rod was characterized.On this basis, a nonlinear dynamics model of the connection interface of the rotor with cracked rod was completed by refering to the Capone short bearing model.The solution was analysed by virtue of the Poincare section surface method.It is found that the system alternates between the periodic doubling bifurcation and the quasi-periodic bifurcation in the e-n bifurcation set obtained under the influence of the factors of rotational speed and eccentricity.The solution distribution of bifurcation points on the η-n bifurcation set obtained under the influence of crack propagation and rotational speed is discontinuous.At different rotational speed, the bifurcation trajectory of displacement along with the crack propagation is rather complicated, and the presence of rod crack will accelerate or decelerate the occurrence of the bifurcation point.The results show that the mechanism of the effect of rod crack on rotor stability is affected by the system parameter set.The conclusion has certain significance for parameter design and fault identification of rod-fastened rotors.
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Received: 13 September 2018
Published: 15 March 2020
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[1] 姜建，蔡青春，陈愈. M701F型燃机压气机转子裂纹原因探讨、处理对策及对运行方式的讨论[J]. 科技创新导报，2010(20):109-109.
JIANG Jian, CAI Qingchun, CHEN Yu. Causes of cracks, treatment measures and discussion on operation mode in compressor rotor of M701F gas turbine[J]. Science and Technology Innovation Herald, 2010(20):109-109.
[2] 练力. M701F燃气轮机在日启停工况下的检修策略探讨[C]// 中国电机工程学会燃气轮机发电专业委员会年会. 2012:166-168、205.
LIAN Li. Discussion on maintenance strategy of M701F gas turbine under daily start-up and stop conditions[C]// Annul Meeting of CSEE Gas Turbine Power Generation Special Committee. 2012:166-168、205.
[3] LIEW A, FENG N S, HAHN E J. On using the transfer matrix formulation for transient analysis of nonlinear rotor bearing systems[J]. International Journal of Rotating Machinery, 2004, 10(6):425-431.
[4] 郑吉兵，孟光. 考虑非线性涡动时裂纹转子的分叉与混沌特性[J]. 振动工程学报，1997(2):190-197.
ZHENG Jibing, Meng Guang. The nonlinear influences of whirl speed on bifurcation and chaos of a cracked rotor[J]. Journal of Vibration Engineering, 1997(2):190-197.
[5] 刘长利，郑建荣，周炜，等. 松动裂纹转子轴承系统周期运动分岔及稳定性分析[J]. 振动与冲击，2007, 26(11):13-15.
LIU Changli, ZHENG Jianrong, ZHOU Wei, et al. On the bifurcation and stability of periodic motion of rotor-bearing systems with crack and pedestal looseness fault[J]. Journal of Vibration and Shock, 2007, 26(11):13-15.
[6] CVETICANIN L. Resonant vibrations of nonlinear rotors[J]. Mechanism & Machine Theory, 1995, 30(4):581-588.
[7] EBRAHIMI R, Ghayour M, Khanlo H M. Nonlinear dynamic analysis and experimental verification of a magnetically supported flexible rotor system with auxiliary bearings[J]. Mechanism & Machine Theory, 2018, 121:545-562.
[8] DAI L, CHEN C. Dynamic stability analysis of a cracked nonlinear rotor system subjected to periodic excitations in machining[J]. Journal of Vibration & Control, 2007, 13(5):537-556.
[9] 于海，陈予恕，曹庆杰. 多自由度裂纹转子系统非线性动力学特性分析[J]. 振动与冲击，2014, 33(7):92-98.
YU Hai， CHEN Yushu， CAO Qingjie. Nonlinear dynamic behavior analysis for a cracked multi-DOF rotor system[J]. Journal of Vibration and Shock, 2014, 33(7):92-98.
[10] SAEED N A, EISSA M. Bifurcations of periodic motion of a horizontally supported nonlinear Jeffcott rotor system having transversely cracked shaft[J]. International Journal of Non-Linear Mechanics, 2018, 101:113-130.
[11] LI C , SHE H , TANG Q , et al. The effect of blade vibration on the nonlinear characteristics of rotor-bearing system supported by nonlinear suspension[J]. Nonlinear Dynamics, 2017, 89:987-1010.
[12] LI C , ZHOU S , YANG S , et al. Dynamic characteristics of blade-disk-rotor system with structural mistuned features[J]. Open Mechanical Engineering Journal, 2014, 8(1):138-143.
[13] 刘恒，陈丽. 周向均布拉杆柔性组合转子轴承系统的非线性动力特性[J]. 机械工程学报，2010, 46(19):53-62.
LIU Heng, CHEN Li. Nonlinear dynamic analysis of a flexible rod fastening rotor bearing system[J]. Journal of Mechanical Engineering, 2010, 46(19):53-62.
[14] LIU Y, LIU H, WANG N. Effects of typical machining errors on the nonlinear dynamic characteristics of the rod-fastened rotor bearing system[J]. Journal of Vibration and acoustics-transactions of the ASME, 2016, 139(1).
[15] 李忠刚，陈照波，朱伟东，等. 盘式分布拉杆转子系统扭转振动非线性动力学特性分析[J]. 振动与冲击，2017,36(3):215-221.
LI Zhonggang CHEN Zhaobo ZHU Wei-dong, et al. Nonlinear dynamic characteristics analysis for torsional vibration of a distributed disk-rod-fastening rotor system[J]. Journal of Vibration and Shock, 2017,36(3):215-221.
[16]王艾伦，骆舟. 拉杆转子扭转振动研究[J]. 振动与冲击，2009, 28(5):165-168.
WANG Ailun, LUO Zhou. Study on rod fastening rotors torsional vibration[J]. Journal of Vibration and Shock, 2009, 28(5):165-168.
[17] 王艾伦，张海彪，李雪鹏，等. 含拉杆裂纹的组合转子性能退化机理[J]. 中南大学学报(自然科学版)，2017(8):2002-2009.
WANG Ailun, ZHANG Haibiao, LI Xuepeng, et al. Performance degradation mechanism of combined rotor considering crack in rod[J]. Journal of Central South University (Science and Technology), 2017(8):2002-2009.
[18] 伍颖. 断裂与疲劳[M]. 武汉：中国地质大学出版社，2008.
WU Ying. Fracture and fatigue [M]. Wuhan: China University of Geosciences Press, 2008.
[19] 李辉光，刘恒，虞烈. 粗糙机械结合面的接触刚度研究[J].西安交通大学学报，2011,45(6):69-74.
LI Huiguang, LIU Heng, YU Lie. Contact stiffness of rough mechanical joint surface [J]. Journal of Xi'an Jiaotong University, 2011,45(6):69-74.
[20] HU L, LIU Y, TENG W, et al. Nonlinear coupled dynamics of a rod fastening rotor under rub-impact and initial permanent deflection[J]. Energies, 2016, 9(12):883.
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