Citation: | MA Yanhong, LIU Haizhou, DENG Wangqun, et al. Vibration response analysis of rotor system with initial thermal deformation[J]. Journal of Beijing University of Aeronautics and Astronautics, 2019, 45(2): 227-233. doi: 10.13700/j.bh.1001-5965.2018.0309(in Chinese) |
Uneven temperature distribution of an aero-engine during hot restart can lead to initial thermal deformation of its rotors, which causes excessive engine vibration, or even a start-up failure. In view of the problem, this paper takes a typical rotor in aero-engines as an object, establishes its dynamic equation based on the effects of thermal deformation on vibration, and analyzes the effects of thermal deformation on vibration response of rotor system through modal coordinate transformation. The results show that thermal deformation is equivalent to additional excitations acting on the rotor, that is, initial shaft bow excitation, additional unbalance excitation and additional gyroscopic moment excitation, all of which are synchronous with the rotating speed. Moreover, the amplitude of unbalance and gyroscopic moment excitation is related to the rotating speed, therefore influencing rotor vibration response at different critical speeds to an equivalent extent, while that of initial shaft bow excitation is not related to the rotating speed and the response of low-order critical rotating speeds is more affected.
[1] |
朱梓根, 晏砺堂.某型涡轮螺桨发动机转子偏磨故障分析[J].航空学报, 1992, 13(10):512-516. doi: 10.3321/j.issn:1000-6893.1992.10.011
ZHU Z G, YAN L T.Troubleshooting of the rotor rubbing case for some turboprop engine[J].Acta Aeronautica et Astronautica Sinica, 1992, 13(10):512-516(in Chinese). doi: 10.3321/j.issn:1000-6893.1992.10.011
|
[2] |
张连祥.航空发动机转子热弯曲引发的典型故障分析[J].振动与冲击, 2008, 27(S):7-9.
ZHANG L X.Analysis of typical aeroengine vibration fault related to thermal bowed rotor[J].Journal of Vibration and Shock, 2008, 27(S):7-9(in Chinese).
|
[3] |
张连祥, 王娟.航空发动机热起动过程中的振动问题分析[J].振动与冲击, 2010, 29(S):132-134.
ZHANG L X, WANG J.Analysis of aeroengine vibration fault during the hot-starting[J].Journal of Vibration and Shock, 2010, 29(S):132-134(in Chinese).
|
[4] |
MARINESCU G, EHRSAM A.Experimental investigation into thermal behavior of steam turbine components-Part 2: Natural cooling of steam turbines and the impact on LCF life[C]//ASME Turbo: Power for Land, Sea, and Air.New York: ASME, 2012, 4: 1111-1120.
|
[5] |
BALDASSARRE L, FONTANA M.Modelling of rotor bow during hot restart in centrifugal compressors[C]//39th Turbomachinery Symposium, 2010: 1-8.
|
[6] |
NICHOLAS J C, GUNTER E J, ALLAIRE P E.Effectt of resi-dual shaft bow on unbalance response and balancing of a single mass flexible rotor-Part 1:Unbalance response[J].Journal of Engineering for Power, 1976, 98(2):171-181.
|
[7] |
NICHOLAS J C, GUNTER E J, ALLAIRE P E.Effectt of resi-dual shaft bow on unbalance response and balancing of a single mass flexible rotor-Part 2:Balancing[J].Journal of Engineering for Power, 1976, 98(2):182-187.
|
[8] |
SHIAU T N, LEE E K.The residual shaft bow effect on dynamic response of a simply supported rotor with disk skew and mass unbalance[J].Journal of Vibration, Acoustics, Stress, and Relia-bility in Design, 1989, 111(2):170-178. doi: 10.1115/1.3269838
|
[9] |
BACHSCHMID N, PENNACCHI P, VANIA A.Identification of multiple faults in rotor systems[J].Journal of Sound and Vibration, 2002, 254(2):327-366.
|
[10] |
PENNACCHI P, VANIA A.Accuracy in the identification of a generator thermal bow[J].Journal of Sound and Vibration, 2004, 274(1-2):273-295. doi: 10.1016/j.jsv.2003.05.014
|
[11] |
SANCHES F D, PEDERIVA R.Theoretical and experimental identification of the simultaneous occurrence of unbalance and shaft bow in a Laval rotor[J].Mechanism and Machine Theory, 2016, 101:209-221. doi: 10.1016/j.mechmachtheory.2016.03.019
|
[12] |
任平珍, 柴卫东, 胡璧刚, 等.航空发动机转子热弯曲稳态响应计算方法研究[J].燃气涡轮试验与研究, 1996(3):27-32.
REN P Z, CHAI W D, HU B G, et al.Steady state response calculation of aeroengine rotor with thermal bow[J].Gas Turbine Experienment and Research, 1996(3):27-32(in Chinese).
|
[13] |
任平珍, 陆山, 赵明.转子热弯曲变形及其影响的数值分析方法[J].机械科学与技术, 1997, 16(2):95-98.
REN P Z, LU S, ZHAO M.Numerical analysis method of thermal deflection and its affection on vibration response of rotor[J].Mechanical Science and Technology, 1997, 16(2):95-98(in Chinese).
|
[14] |
袁慧群, 朱向哲, 李东, 等.转子系统瞬态热启动过程动力学特性研究[J].振动与冲击, 2009, 28(7):33-37. doi: 10.3969/j.issn.1000-3835.2009.07.007
YUAN H Q, ZHU X Z, LI D, et al.Dynamic characteristics of transient thermal starting up of a rotor system[J].Journal of Vibration and Shock, 2009, 28(7):33-37(in Chinese). doi: 10.3969/j.issn.1000-3835.2009.07.007
|
[15] |
朱向哲, 贺威, 袁慧群.稳态温度场对转子系统振动特性的影响[J].东北大学学报(自然科学版), 2008, 29(1):113-116. doi: 10.3321/j.issn:1005-3026.2008.01.029
ZHU X Z, HE W, YUAN H Q.Effects of steay temperature field on vibrational characteristics of a rotor system[J].Journal of Northeastern University(Natural Science), 2008, 29(1):113-116(in Chinese). doi: 10.3321/j.issn:1005-3026.2008.01.029
|
[16] |
GENTA G.Dynamics of rotating systems[M].Berlin:Springer, 2005:170.
|
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