Volume 30 Issue 2
Feb.  2015
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LU Zhen-yong, CHEN Yu-shu, HOU Lei, LI Zhong-gang. Dynamic characteristics of a open crack in hollow shaft rotor system[J]. Journal of Aerospace Power, 2015, 30(2): 422-430. doi: 10.13224/j.cnki.jasp.2015.02.021
Citation: LU Zhen-yong, CHEN Yu-shu, HOU Lei, LI Zhong-gang. Dynamic characteristics of a open crack in hollow shaft rotor system[J]. Journal of Aerospace Power, 2015, 30(2): 422-430. doi: 10.13224/j.cnki.jasp.2015.02.021

Dynamic characteristics of a open crack in hollow shaft rotor system

doi: 10.13224/j.cnki.jasp.2015.02.021
  • Received Date: 2013-09-18
  • Publish Date: 2015-02-28
  • Dynamic characteristics of a open crack in hollow shaft rotor system was investigated. By using the finite element method, the equations of motion were formulated, where the weight and the unbalanced excitation were considered and the stiffness matrix was derived with the consideration of the time-varying of the neutral axis in the crack element cross-section. By using the harmonic balance method, the equations were solved approximately and analyzed numerically. The three-dimensional amplitude-frequency curves of different crack depth were obtained to indicate that the vertical response peaks were presented at critical rotating speeds and the subcritical rotating speeds. The varying of the critical rotating speed versus different depths and different locations of the crack was analyzed to obtain that the deeper crack which located near the disc with a larger inertia parameter made a greater impact on the system, and the critical rotating speed decrease quick. The nonlinear responses of the system at the subcirtical rotating speeds were investigated respectively, where the super-harmonic resonances were shown correspondingly. The proposed modeling method of the hollow shaft crack provides a theoretical guidance for nonlinear dynamic studying the aero-engine rotor systems with crack faults.

     

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  • [1]
    陈予恕,张华彪.航空发动机整机动力学研究进展与展望[J].航空学报,2011,32(8):1371-1391. CHEN Yushu,ZHANG Huabiao.Review and prospect on the research of dynamics of the aero-engine system[J].Acta Aeronautica et Astronautica Sinica,2011,32(8):1371-1391.(in Chinese)
    [2]
    顾家柳,王能谦.有裂纹悬臂转子的振动特性[J].航空动力学报,1986,1(2):117-120. GU Jialiu,WANG Nengqian.Vibrational characteristics of the cantilever rotor with a cracked shaft[J].Journal of Aerospace Power,1986,1(2):117-120.(in Chinese)
    [3]
    Gasch R.Dynamic behaviour of a simple rotor with a cross-sectional crack[C]//Proceedings of 1st International Conference on Vibration in Rotating Machinery.Cambridge,London:IMech E,1976:123-128.
    [4]
    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.
    [5]
    Mayes I W,Davies W G R.Analysis of the response of a multi-rotor-bearing system containing a transverse crack in a rotor[J].Journal of Vibration,Acoustics,Stress,and Reliability in Design,1984,106(1):139-145.
    [6]
    Sinou J J,Lees A.The influence of cracks in rotating shafts[J].Journal of Sound and Vibration,2005,285(4/5):1015-1037.
    [7]
    高建民,朱晓梅.转轴上裂纹开闭模型的研究[J].应用力学学报,1992,9(1):108-112. GAO Jianmin,ZHU Xiaomei.Study on the model of the shaft crack opening and closing[J].Chinese Journal of Applied Mechanics,1992,9(1):108-112.(in Chinese)
    [8]
    Han Q K,Chu F L.Parametric instability of a rotor-bearing system with two breathing transverse cracks[J].European Journal of Mechanics:A Solids,2012,36:180-190.
    [9]
    Sinou J J.Effects of a crack on the stability of a non-linear rotor system[J].International Journal of Non-Linear Mechanics,2007,42(7):959-972.
    [10]
    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 Chinese)
    [11]
    Zou J,Li S,Hu C,et al.Fault diagnosis of cracked rotor using phase wavelet map[C]//Proceedings of 11th International Conference on Control,Automation and Systems(ICCAS).Gyeonggi-do,Korea:IEEE,2011:471-475.
    [12]
    曾复.裂纹转子非线性振动机理及实验研究[D].杭州:浙江大学,2001. ZENG Fu.Mechanism and experimental study on nonlinear vibration of cracked rotor[D].Hangzhou:Zhejiang University,2001.(in Chinese)
    [13]
    郑艳平,朱厚军.裂纹转子的实验研究[J].汽轮机技术,2006,48(5):364-366. ZHENG Yanping,ZHU Houjun.Experimental research of a cracked rotor[J].Turbine Technology,2006,48(5):364-366.(in Chinese)
    [14]
    Papadopoulos C,Dimarogonas A.Coupled longitudinal and bending vibrations of a rotating shaft with an open crack[J].Journal of Sound and Vibration,1987,117(1):81-93.
    [15]
    曾复,吴昭同.含横向裂纹简单转子刚度的计算[J].机械科学与技术,1999,18(5):745-747. ZENG Fu,WU Zhaotong.Calculating stiffness of a simple rotor with a transverse crack[J].Mechanical Science and Technology,1999,18(5):745-747.(in Chinese)
    [16]
    Sinou J J,Lees A.A non-linear study of a cracked rotor[J].European Journal of Mechanics:A Solids,2007,26(1):152-170.
    [17]
    Al-Shudeifat M A.On the finite element modeling of the asymmetric cracked rotor[J].Journal of Sound and Vibration,2013,332(11):2795-2807.
    [18]
    Al-Shudeifat M A,Butcher E A.New breathing functions for the transverse breathing crack of the cracked rotor system:Approach for critical and subcritical harmonic analysis[J].Journal of Sound and Vibration,2011,330(3):526-544.
    [19]
    邓明.航空燃气涡轮发动机原理与构造[M].北京:国防工业出版社,2008:87-156.
    [20]
    Zheng D,Fan S.Vibration and stability of cracked hollow-sectional beams[J].Journal of Sound and Vibration,2003,267(4):933-954.
    [21]
    钟一谔,何衍宗,王正,等.转子动力学[M].北京:清华大学出版社,1987:176-192.
    [22]
    航空发动机设计手册总编委会.航空发动机设计手册:第19分册 转子动力学及整机振动[M].北京:航空工业出版社,2000:124-130.
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