Rotordynamics test with gradually increasing crack depth
-
摘要:
对含有转轴裂纹故障的多盘转子系统振动特性进行测试。试验中采用精密线切割的加工方式在转子上由浅入深预制不同深度的裂纹,以此模拟实际工况下裂纹故障逐渐恶化的过程。测量裂纹转子升速阶段轴承座附近的振动位移信号,试验结果表明:相比于裂纹深度为转轴直径50%的情况,当裂纹深度达到转轴直径的60%时,临界转速处的1×响应峰值以及1/3临界转速区域的3×响应峰值显著降低,而1/2临界转速区域的2×响应峰值则会突增。该结果可为预警转子断裂事故提供依据。
Abstract:The vibration characteristics of a multi-disk rotor system with a shaft crack fault were tested. In the test, the cracks of different depths were prefabricated on the rotor from the shallower to the deeper using the precision wire cutting processing method, so as to simulate the gradual deterioration process of the crack fault under the actual working condition. The vibration displacement signal near the bearing seat during the cracked rotor speed increase stage was measured. The test results showed that compared with the case with the crack depth up to 50% of the shaft diameter, when the crack depth reached 60% of the shaft diameter, the 1× response peak at the critical speed and the 3× response peak at the 1/3 critical speed region were significantly reduced, while the peak of the 2× response in the 1/2 critical speed region was increased suddenly. This result can provide a basis for early warning of rotor fracture.
-
表 1 转子参数记录表
Table 1. Record rotor parameters
参数 数值 转子长度/mm 1000 转轴直径/mm 40 轮盘直径/mm 200 轮盘1(轮盘2)厚度/mm 50 轮盘3厚度/mm 40 材料密度/103 (kg/m3) 7.85 弹性模量/1011 Pa 2.11 泊松比 0.3 -
[1] ZHOU Tong,SUN Zhengce,XU Jianxue,et al. Experimental analysis of cracked rotor[J]. Journal of Dynamic Systems,Measurement,and Control,2005,127(3): 313-320. [2] ZHONG Shuncong,OYADIJI S O. Crack detection in simply supported beams without baseline modal parameters by stationary wavelet transform[J]. Mechanical Systems and Signal Processing,2007,21(4): 1853-1884. doi: 10.1016/j.ymssp.2006.07.007 [3] WANG K S,GUO D,HEYNS P S. The application of order tracking for vibration analysis of a varying speed rotor with a propagating transverse crack[J]. Engineering Failure Analysis,2012,21: 91-101. doi: 10.1016/j.engfailanal.2011.11.020 [4] HAJI Z N,OYADIJI S O. The use of roving discs and orthogonal natural frequencies for crack identification and location in rotors[J]. Journal of Sound and Vibration,2014,333(23): 6237-6257. doi: 10.1016/j.jsv.2014.05.046 [5] KUSHWAHA N,PATEL V N. Modelling and analysis of a cracked rotor: a review of the literature and its implications[J]. Archive of Applied Mechanics,2020,90(6): 1215-1245. doi: 10.1007/s00419-020-01667-6 [6] LIONG R T,PROPPE C. Application of the cohesive zone model for the evaluation of stiffness losses in a rotor with a transverse breathing crack[J]. Journal of Sound and Vibration,2013,332(8): 2098-2110. doi: 10.1016/j.jsv.2012.11.032 [7] GUO Chaozhong,YAN Jihong,BERGMAN L A. Experimental dynamic analysis of a breathing cracked rotor[J]. Chinese Journal of Mechanical Engineering,2017,30(5): 1177-1183. doi: 10.1007/s10033-017-0180-7 [8] WANG Shuai,BI Chuanxing,LI Jiazhu,et al. Parametric instability of anisotropic rotor-bearing systems with a transverse crack[J]. Journal of Sound and Vibration,2019,443: 253-269. doi: 10.1016/j.jsv.2018.11.052 [9] 罗跃纲,闻邦椿. 双跨转子系统裂纹-松动耦合故障的非线性响应[J]. 航空动力学报,2007,22(6): 996-1001. LUO Yuegang,WEN Bangchun. Nonlinear responses of two-span rotor-bearing system with coupling faults of crack and pedestal looseness[J]. Journal of Aerospace Power,2007,22(6): 996-1001. (in ChineseLUO Yuegang, WEN Bangchun. Nonlinear responses of two-span rotor-bearing system with coupling faults of crack and pedestal looseness[J]. Journal of Aerospace Power, 2007, 22(6): 996-1001. (in Chinese) [10] 路振勇,陈予恕,侯磊,等. 常开空心轴裂纹转子系统的动力学特性[J]. 航空动力学报,2015,30(2): 422-430. LU Zhenyong,CHEN Yushu,HOU Lei,et al. Dynamic characteristics of a open crack in hollow shaft rotor system[J]. Journal of Aerospace Power,2015,30(2): 422-430. (in ChineseLU Zhenyong, CHEN Yushu, HOU Lei, et al. Dynamic characteristics of a open crack in hollow shaft rotor system[J]. Journal of Aerospace Power, 2015, 30(2): 422-430. (in Chinese) [11] 林言丽,褚福磊. 裂纹转子的刚度模型[J]. 机械工程学报,2008,44(1): 114-120. LIN Yanli,CHU Fulei. Stiffness models for the cracked shaft of the rotor system[J]. Chinese Journal of Mechanical Engineering,2008,44(1): 114-120. (in Chinese doi: 10.3901/JME.2008.01.114LIN Yanli, CHU Fulei. Stiffness models for the cracked shaft of the rotor system[J]. Chinese Journal of Mechanical Engineering, 2008, 44(1): 114-120. (in Chinese) doi: 10.3901/JME.2008.01.114 [12] GUO D,PENG Z K. Vibration analysis of a cracked rotor using Hilbert-Huang transform[J]. Mechanical Systems and Signal Processing,2007,21(8): 3030-3041. doi: 10.1016/j.ymssp.2007.05.004 [13] SINOU J J,LEES A W. A non-linear study of a cracked rotor[J]. European Journal of Mechanics - A/Solids,2007,26(1): 152-170. doi: 10.1016/j.euromechsol.2006.04.002 [14] DONG Guangming,CHEN Jin. Crack identification in a rotor with an open crack[J]. Journal of Mechanical Science and Technology,2009,23(11): 2964-2972. doi: 10.1007/s12206-009-0814-5 [15] AL-SHUDEIFAT M A,BUTCHER E A,STERN C R. General harmonic balance solution of a cracked rotor-bearing-disk system for harmonic and sub-harmonic analysis: analytical and experimental approach[J]. International Journal of Engineering Science,2010,48(10): 921-935. doi: 10.1016/j.ijengsci.2010.05.012 [16] 杨丹,甘春标,杨世锡,等. 含横向裂纹Jeffcott转子刚度及动力学特性研究[J]. 振动与冲击,2012,31(15): 121-126. YANG Dan,GAN Chunbiao,YANG Shixi,et al. Stiffness and dynamical behavior of Jeffcott rotor with cross crack[J]. Journal of Vibration and Shock,2012,31(15): 121-126. (in Chinese doi: 10.3969/j.issn.1000-3835.2012.15.024YANG Dan, GAN Chunbiao, YANG Shixi, et al. Stiffness and dynamical behavior of Jeffcott rotor with cross crack[J]. Journal of Vibration and Shock, 2012, 31(15): 121-126. (in Chinese) doi: 10.3969/j.issn.1000-3835.2012.15.024 [17] SPAGNOL J P,WU H,XIAO Keqin. Dynamic response of a cracked rotor with an unbalance influenced breathing mechanism[J]. Journal of Mechanical Science and Technology,2018,32(1): 57-68. doi: 10.1007/s12206-017-1207-9 [18] SINOU J J. Detection of cracks in rotor based on the 2 × and 3 × super-harmonic frequency components and the crack–unbalance interactions[J]. Communications in Nonlinear Science and Numerical Simulation,2008,13(9): 2024-2040. doi: 10.1016/j.cnsns.2007.04.008 [19] AL-SHUDEIFAT M A,AL-HOSANI H,SAEED A S,et al. Effect of unbalance force vector orientation on the whirl response of cracked rotors[J]. Journal of Vibration and Acoustics,2019,141(2): 021001. doi: 10.1115/1.4041462 [20] WANG Shuai,ZI Yanyang,QIAN Sen,et al. Effects of unbalance on the nonlinear dynamics of rotors with transverse cracks[J]. Nonlinear Dynamics,2018,91(4): 2755-2772. doi: 10.1007/s11071-017-4044-6 [21] RAO Xiaobo,CHU Yandong,CHANG Yingxiang,et al. Dynamics of a cracked rotor system with oil-film force in parameter space[J]. Nonlinear Dynamics,2017,88(4): 2347-2357. doi: 10.1007/s11071-017-3381-9 [22] ZHU Changsheng,ROBB D A,EWINS D J. The dynamics of a cracked rotor with an active magnetic bearing[J]. Journal of Sound and Vibration,2003,265(3): 469-487. doi: 10.1016/S0022-460X(03)00174-3 [23] SINGH S,TIWARI R. Model based identification of crack and bearing dynamic parameters in flexible rotor systems supported with an auxiliary active magnetic bearing[J]. Mechanism and Machine Theory,2018,122: 292-307. doi: 10.1016/j.mechmachtheory.2018.01.006 [24] GUO Chaozhong,AL-SHUDEIFAT M A,YAN Jihong,et al. Stability analysis for transverse breathing cracks in rotor systems[J]. European Journal of Mechanics: A/Solids,2013,42: 27-34. doi: 10.1016/j.euromechsol.2013.04.001 [25] 郭丹,何永勇,卢文秀. 具有横向裂纹的转子系统耦合振动研究[J]. 振动工程学报,2005,18(1): 108-112. GUO Dan,HE Yongyong,LU Wenxiu. Research on coupled vibration of rotor with transverse surface cracks[J]. Journal of Vibration Engineering,2005,18(1): 108-112. (in Chinese doi: 10.3969/j.issn.1004-4523.2005.01.021GUO Dan, HE Yongyong, LU Wenxiu. Research on coupled vibration of rotor with transverse surface cracks[J]. Journal of Vibration Engineering, 2005, 18(1): 108-112. (in Chinese) doi: 10.3969/j.issn.1004-4523.2005.01.021 [26] 杜彦卫,胡超,李凤明,等. 含横向裂纹转子的动力稳定性研究[J]. 中国机械工程,2003,14(18): 1587-1590. DU Yanwei,HU Chao,LI Fengming,et al. Study on dynamical stability for shafts with a transverse crack[J]. China Mechanical Engineering,2003,14(18): 1587-1590. (in ChineseDU Yanwei, HU Chao, LI Fengming, et al. Study on dynamical stability for shafts with a transverse crack[J]. China Mechanical Engineering, 2003, 14(18): 1587-1590. (in Chinese) [27] GÓMEZ M J,CASTEJÓN C,CORRAL E,et al. Analysis of the influence of crack location for diagnosis in rotating shafts based on 3 x energy[J]. Mechanism and Machine Theory,2016,103: 167-173. doi: 10.1016/j.mechmachtheory.2016.05.006 [28] VARNEY P,GREEN I. Crack detection in a rotor dynamic system by vibration monitoring: Part Ⅱ extended analysis and experimental results[J]. Journal of Engineering for Gas Turbines and Power,2012,134(11): 112501. doi: 10.1115/1.4007275 [29] GUO Chaozhong,YAN Jihong,YANG Weicheng. Crack detection for a Jeffcott rotor with a transverse crack: an experimental investigation[J]. Mechanical Systems and Signal Processing,2017,83: 260-271. doi: 10.1016/j.ymssp.2016.06.011 [30] GUO C,AL-SHUDEIFAT M A,YAN J,et al. Application of empirical mode decomposition to a Jeffcott rotor with a breathing crack[J]. Journal of Sound and Vibration,2013,332(16): 3881-3892. doi: 10.1016/j.jsv.2013.02.031 [31] PENNACCHI P,BACHSCHMID N,VANIA A. A model-based identification method of transverse cracks in rotating shafts suitable for industrial machines[J]. Mechanical Systems and Signal Processing,2006,20(8): 2112-2147. doi: 10.1016/j.ymssp.2005.04.005 [32] SINOU J J. Experimental study on the nonlinear vibrations and n × amplitudes of a rotor with a transverse crack[J]. Journal of Vibration and Acoustics,2009,131(4): 041008. doi: 10.1115/1.3086928 [33] BACHSCHMID N,PENNACCHI P,TANZI E,et al. Identification of transverse crack position and depth in rotor systems[J]. Meccanica,2000,35(6): 563-582. doi: 10.1023/A:1010562205385 [34] GÓMEZ M J,CASTEJÓN C,GARCÍA-PRADA J C. Crack detection in rotating shafts based on 3 × energy: analytical and experimental analyses[J]. Mechanism and Machine Theory,2016,96: 94-106. doi: 10.1016/j.mechmachtheory.2015.09.009 [35] BACHSCHMID N,PENNACCHI P,TANZI E. A sensitivity analysis of vibrations in cracked turbogenerator units versus crack position and depth[J]. Mechanical Systems and Signal Processing,2010,24(3): 844-859. doi: 10.1016/j.ymssp.2009.10.001