Dynamic Characteristics Analysis of Rotor-crack-loose Coupling Fault of Engine Rotor System
-
摘要: 建立了滚动轴承支承下的双跨转子系统非线性动力学模型,采用四阶-五阶定步长Runge-Kutta法分析比较了系统在无故障、碰摩故障、裂纹故障、一端松动故障以及碰摩-裂纹-松动耦合故障5种工况下随着转速变化的转子动力学响应。数值分析了在碰摩-裂纹-松动耦合故障工况下转子不平衡量、碰摩刚度、松动端轴承座质量对系统响应的影响。结果表明:当系统存在碰摩故障时,一阶临界转速有所提高,动力学行为更为复杂;存在裂纹故障时,一阶临界转速有所降低;存在松动故障时,响应混沌区域变大;存在三种耦合故障时,超一阶临界转速响应出现大面积混沌。随着转子不平衡量、碰摩刚度的增大,响应趋向于混沌,松动端轴承座质量在高速下响应具有敏感性。Abstract: The nonlinear dynamic model of the double-span rotor system under the rolling bearing bearing is established. The fourth-order-five-step fixed-step Runge-Kutta method is used to analyze the nonlinear dynamic model. The dynamic responses of the rotor with the change of the speed under the five conditions of no fault, rubbing fault, crack fault, one end loose fault and rubbing-crack-loose coupling fault are compared respectively. The effects of rotor unbalance, rubbing stiffness and loose bearing housing quality on system response under rubbing-crack-loose coupling failure conditions are numerically analyzed. The results show that when the system has a rubbing fault, the first-order critical speed is increased slightly and the dynamic behavior is more complicated; when there is a crack fault, the first-order critical speed is reduced; when there is a loose fault, the response chaotic area becomes larger; when there are three kinds of coupling faults, the super first-order critical speed response appears large-area chaos; with the increase of rotor unbalance and rubbing stiffness, the response tends to chaos, and the quality of the loose end bearing seat is sensitive at high speed.
-
Key words:
- double-span rotor /
- rolling bearing /
- rubbing /
- crack /
- looseness /
- nonlinear dynamics /
- coupling faults /
- critical speed /
- chaos /
- numerical simulation
-
表 1 滚动轴承JIS6306的主要参数
外圈半径R/mm 内圈半径r/mm 滚珠个数Nb 接触刚度Cb/(N·m-3/2) 轴承间隙r0/μm 63. 9 40. 1 8 13.34×109 2 -
[1] Muszynska A, Goldman P. Chaotic responses of unbalanced rotor/bearing/stator systems with looseness or rubs[J]. Chaos, Solitons & Fractals, 1995, 5(9):1683-1704 http://www.sciencedirect.com/science/article/pii/096007799400171L [2] Darpe A K, Gupta A, Chawla A. Dynamics of a two-crack rotor[J]. Journal of Sound and Vibration, 2003, 259(3):649-675 doi: 10.1006/jsvi.2002.5098 [3] 陈果.含不平衡-碰摩-基础松动耦合故障的转子-滚动轴承系统非线性动力响应分析[J].振动与冲击, 2008, 27(9):100-104 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=zdycj200809025Chen G. Nonlinear dynamic response analysis of rotor-ball bearing system including unbalance-rubbing-looseness coupled faults[J]. Journal of Vibration and Shock, 2008, 27(9):100-104(in Chinese) http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=zdycj200809025 [4] 欧阳运芳, 明阳.航空发动机双转子系统碰摩故障振动特性研究[J].机械工程师, 2016, (11):65-71 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=jxgcs201611025Ouyang Y F, Ming Y. Research on rub-impact fault vibration characteristics of aeroengine dual-rotor system[J]. Mechanical Engineer, 2016, (11):65-71(in Chinese) http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=jxgcs201611025 [5] 蒋勉, 伍济钢, 彭鑫胜, 等.转子-滑动轴承系统支承松动-碰摩故障动力学行为及评估方法[J].动力学与控制学报, 2017, 15(6):550-557 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=dlxykzxb201706011Jiang M, Wu J G, Peng X S, et al. Dynamic behaviors and assessment of loose-rubbing faults in rotor-sliding bearing system[J]. Journal of Dynamics and Control, 2017, 15(6):550-557(in Chinese) http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=dlxykzxb201706011 [6] 李海泉, 刘池, 李新泉, 等.双盘双边松动转子的动力学特性分析[J].兰州工业学院学报, 2018, 25(2):70-73 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=0120181102733001Li H Q, Liu C, Li X Q, et al. Analysis of dynamic characteristics for two-disk rotor system with pedestal looseness[J]. Journal of Lanzhou Institute of Technology, 2018, 25(2):70-73(in Chinese) http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=0120181102733001 [7] 卢子乾, 魏永合, 矫晶晶.转子碰摩故障动力学仿真及实验验证[J].沈阳理工大学学报, 2018, 37(4):62-67 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=sygyxyxb201804013Lu Z Q, Wei Y H, Jiao J J. Dynamic simulation and experimental verification of rotor rubbing fault[J]. Journal of Shenyang Ligong University, 2018, 37(4):62-67(in Chinese) http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=sygyxyxb201804013 [8] 蒯腾飞, 赵昌方, 夏文嘉, 等.含裂纹转子系统动力学建模与实验研究[J].科学技术与工程, 2019, 19(8):58-65 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=kxjsygc201908009Geng T F, Zhao C F, Xia W J, et al. Dynamic modeling and experimental study of cracked rotor system[J]. Science Technology and Engineering, 2019, 19(8):58-65(in Chinese) http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=kxjsygc201908009 [9] 施吉林, 刘淑珍, 陈桂芝.计算机数值方法[M].3版.北京:高等教育出版社, 2013Shi J L, Liu S Z, Chen G Z. Computer numerical method[M]. 3rd ed. Beijing:Higher Education Press, 2013(in Chinese) [10] 瓮雷, 杨自春, 曹跃云, 等.汽轮机非线性间隙气流激振力作用下转子系统的分岔研究[J].海军工程大学学报, 2015, 27(5):52-57 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=hjgcdxxb201505012Weng L, Yang Z C, Cao Y Y, et al. Bifurcation characteristics of rotor-bearing system under air-exciting force of stream turbine[J]. Journal of Naval University of Engineering, 2015, 27(5):52-57(in Chinese) http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=hjgcdxxb201505012 [11] Ma H, Huang J, Zhang S Y, et al. Nonlinear vibration characteristics of a rotor system with pedestal looseness fault under different loading conditions[J]. Journal of Vibroengineering, 2013, 15(1):406-418 http://search.ebscohost.com/login.aspx?direct=true&db=aph&AN=86263124&site=ehost-live [12] 张韬, 孟光.有挤压油膜阻尼器支承的多故障转子系统的非线性响应特性研究[J].机械科学与技术, 2003, 22(4):543-546 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=jxkxyjs200304009Zhang T, Meng G. Nonlinear characteristics of the responses of an SFD supported rotor with many malfunctions[J]. Mechanical Science and Technology for Aerospace Engineering, 2003, 22(4):543-546(in Chinese) http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=jxkxyjs200304009 [13] 姚红良.故障旋转机械动力学及诊断技术中若干问题的研究[D].沈阳: 东北大学, 2006Yao H L. The study of some problems on dynamics and diagnosis technologies of fault rotor systems[D]. Shenyang: Northeastern University, 2006(in Chinese) [14] 申倩, 谢伟松, 刘佳杭, 等.多跨度裂纹转子-滚动轴承动力学特性分析[J].机械传动, 2018, 42(12):34-42 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=jxcd201812007Shen Q, Xie W S, Liu J H, et al. Analysis of dynamics characteristic of multi-span cracked rotor-rolling bearing[J]. Journal of Mechanical Transmission, 2018, 42(12):34-42(in Chinese) http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=jxcd201812007 [15] 屈梁生.机械故障的全息诊断原理[M].北京:科学出版社, 2008Qu L S. Holospectrum and holobalancing technique in machinery diagnosis[M]. Beijing:Science Press, 2008(in Chinese) [16] 曲秀秀, 陈果, 乔保栋.不平衡-碰摩-松动耦合故障的转子动力学建模与盲分离研究[J].振动与冲击, 2011, 30(6):74-77, 96 http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=zdycj201106016Qu X X, Chen G, Qiao B D. Signal separation technology for dynamic model of rotor with unbalance-rubbing-looseness couped faults[J]. Journal of Vibration and Shock, 2011, 30(6):74-77, 96(in Chinese) http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=zdycj201106016