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J4  2012, Vol. 46 Issue (10): 1839-1845    DOI: 10.3785/j.issn.1008-973X.2012.10.016
电气工程     
横向裂纹多盘柔性转子系统的动力学特性
钟志贤, 祝长生
浙江大学 电气工程学院,浙江 杭州 310027
Dynamics behavior of multi-disk flexible rotor system
with transverse crack
ZHONG Zhi-xian, ZHU Chang-sheng
College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China
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摘要:

采用Rayleigh方法计算横向裂纹轴单元的刚度模型,基于有限元法建立具有横向裂纹的多盘柔性转子-轴承系统的数学模型.分析裂纹对多盘柔性转子-轴承系统的动力特性的影响,研究由于裂纹的存在而产生的超谐波共振和亚谐波共振,讨论了这些共振的特点,特别是系统的2倍频和3倍频谐波分量的特性,分析了靠近1/2和1/3倍第一临界转速时的轨迹变化以及裂纹的位置和深度对非线性特性的影响.结果表明,与两端刚性支承的简单Jeffcott转子相比,利用在次临界转速处2倍频和3倍频超谐波成分作为检测多盘转子系统中的裂纹指标是可行的.

Abstract:

The stiffness of transverse crack rotor element was calculated by Rayleigh theory. A mathematical model of a multi-disk flexible rotor-bearing system with transverse crack axis was established based on finite element method. The model theoretically analyzed the influence of the crack on the dynamic characteristics of the multi-disk flexible rotor-bearing. The nonlinear resonance of the multi-disk flexible rotor due to the crack was analyzed. The characteristics of the nonlinear resonance was discussed, especially the two times and three times harmonic components of multi-disk flexible rotor system and the rotor orbit at the speed close to 1/2 and 1/3 of the first critical speed. The effect of the crack’s position and depth on the nonlinear resonance characteristics of the multi-disk flexible rotor-bearing system was analyzed. Results demonstrate that compared to the simple Jeffcott rotor, it is effective to use two times and three times super-harmonic components at the subcritical speed for the crack detection of multi-disk rotor system.

出版日期: 2012-10-01
:  TH 113  
基金资助:

国家自然科学基金资助项目(10772160).

通讯作者: 祝长生,男,教授,博导.     E-mail: zhu_zhang@zju.edu.cn
作者简介: 钟志贤(1972—), 男, 讲师,从事机电一体化技术、转子动力学的研究. E-mail: 2005zhzhx@163.com
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引用本文:

钟志贤, 祝长生. 横向裂纹多盘柔性转子系统的动力学特性[J]. J4, 2012, 46(10): 1839-1845.

ZHONG Zhi-xian, ZHU Chang-sheng. Dynamics behavior of multi-disk flexible rotor system
with transverse crack. J4, 2012, 46(10): 1839-1845.

链接本文:

http://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2012.10.016        http://www.zjujournals.com/eng/CN/Y2012/V46/I10/1839

[1] YUKIO I. Cracked rotors: Industrial machine case histories and nonlinear effects shown by simple Jeffcott rotor [J]. Mechanical Systems and Signal Processing, 2008, 22(4): 805-817.
[2] YUKIO I, TSUYOSHI I. Detection of a rotor crack using a harmonic excitation and nonlinear vibration analysis [J]. Journal of Vibration and Acoustics, 2006, 128(6): 741-749.
[3] DIMAROGONAS A D, PAIPETIS S A. Analytical methods in rotor dynamics [M]. London: Applied Science, 1983: 144-193.
[4] 林言丽,褚福磊,郝如江.开斜裂纹转子的动力特性[J].振动与冲击,2008, 27(1): 25-29.
LIN Yanli, CHU Fulei, HAO Rujiang. Dynamic analysis of a Jeffcott rotor system with an opening slant crack on its shaft [J]. Journal of Vibration and Shock, 2008, 27(1): 25-29.
[5] DIMAROGONAS A D. Vibration of cracked structure: a state of the art review [J]. Engineering Fracture Mechanics, 1996, 55(5): 831-857.
[6] KUMAR C, RASTOGI V. A brief review on dynamics of a cracked rotor [J]. International Journal of Rotating Machinery, 2009, 2009(1): 1-6.
[7] PAPADOPOULOS C A. The strain energy release approach for modeling cracks in rotors: a state of the art review [J]. Mechanical Systems and Signal Processing, 2008, 22(4): 763-789.
[8] 高建明,朱晓梅.转轴上裂纹开闭模型的研究[J].应用力学学报,1992,19(1): 108-112.
GAO Jianming, ZHU Xiaomei. Study on the model of the shaft crack opening and closing [J]. Chinese Journal of Applied Mechanics, 1992, 19(1): 108-112.
[9] 朱厚军,赵玫.裂纹转子振动特性分析[J].应用力学学报,2001, 18(4): 65-70.
ZHU Houjun, ZHAO Mei. A study on coupled vibration of cracked rotor [J]. Chinese Journal of Applied Mechanics, 2001, 18(4): 65-70.
[10] 秦卫阳,孟光.裂纹转子系统响应的阵发性混沌与时域分叉现象[J].上海交通大学学报, 2002, 36(6): 824-828.
QIN Weiyang, MENG Guang. Intermittent chaos and bifurcation in time domain of the response of cracked rotor [J]. Journal of Shanghai Jiaotong University, 2002, 36(6): 824-828.

[11] 邹剑,陈进,邹军,等.裂纹转子故障诊断的小波时频分析方法[J].上海交通大学学报,2002, 36(6): 865-869.
ZOU Jian, CHEN Jin, ZOU Jun, et al. Fault diagnosis of cracked rotor by wavelet timefrequency analysis algorithm [J]. Journal of Shanghai Jiaotong University, 2002, 36(6): 865-869.
[12] 杨积东,徐培民,闻邦椿.裂纹转子分岔、混沌行为研究[J].固体力学学报,2002,23(1): 115-119.
YANG Jidong, XU Peimin, WEN Bangchun. The cracked of a flexible rotor with crack propagation [J]. Acta Mechanica Solida Sinica, 2002, 23(1): 115-119.
[13] 祝长生,钟志贤.带主动电磁阻尼器的裂纹转子系统动力学[J].振动工程学报, 2010, 23(3): 298-304.
ZHU Changsheng, ZHONG Zhixian. The dynamics of a cracked rotor with active magnetic dampers [J]. Journal of Vibration Engineering, 2010, 23(3): 298-304.
[14] TSAI T C, WANG Y Z. Vibration analysis and diagnosis of a cracked shaft [J]. Journal of Sound and Vibration, 1996, 192(3): 607-620.
[15] NELSON H D. A finite rotating shaft element using Timoshenko Beam Theory [J]. Journal of Mechanical Design, 1980, 102(4): 793-803.
[16] KEINER H, GADALA M S. Comparison of different modelling techniques to simulate the vibration of a cracked rotor [J]. Journal of Sound and Vibration, 2002, 254(5): 1012-1024.
[17] 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: 176-195.
[18] SINOU J, LEES A W. The influence of cracks in rotating shafts [J]. Journal of Sound and Vibration, 2005, 285 (4): 1015-1037.
[19] 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Transactions of the ASME, 1984, 106(1): 139-145.
[20] MOHAMMAD A AS, 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.

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