非线性裂纹转子的振动控制与裂纹延缓的研究

PDF(2521 KB)

振动与冲击 ›› 2018, Vol. 37 ›› Issue (21) : 134-142.

论文

刘军1,2，胡敏1，陈建恩1,2，王肖锋1,2

作者信息 +

Vibration control and crack propagation delay of a nonlinear cracked rotor

LIU Jun ,2, HU min1, Chen Jianen1,2, Wang Xiaofeng1,2

Author information +

文章历史 +

摘要

针对裂纹转子的非线性振动问题，以具有非线性恢复力的轴承和电磁执行器的Jeffcott裂纹转子为研究对象，通过仿真和实验分析了系统的振动响应,同时采用神经网络PID 控制的电磁执行器，实现对裂纹转子系统的非线性振动的主动控制。并通过对神经网络PID和传统PID控制方法的仿真比较，表明神经网络PID对非线性裂纹转子系统具有更好的控制性能和抗干扰性。其次，基于转子动力学理论，分析了裂纹的开闭特性，用数值方法分析了不同参数对裂纹扩展的影响，提出了有效延缓裂纹扩展的方法。

Abstract

Aiming at a cracked rotor’s nonlinear vibration problems, taking a Jeffcott cracked rotor with nonlinear restoring forces of bearing and electromagnetic actuator as a study object, its vibration response was analyzed through simulation and tests.An electromagnetic actuator with a neural network PID controller was adopted to realize the active control for nonlinear vibration of the cracked rotor.Through comparing the neural network PID control method and the traditional PID control one with simulations, it was shown that the neural network PID control method has better control performance and resisting disturbance ability for the nonlinear cracked rotor system.The opening-closing characteristics of a crack were analyzed based on the theory of rotor dynamics.The effects of different parameters on crack propagation were studied with the numerical method to propose the method for effectively delaying crack propagation.

导出引用

刘军1,2，胡敏1，陈建恩1,2，王肖锋1,2. 非线性裂纹转子的振动控制与裂纹延缓的研究[J]. 振动与冲击, 2018, 37(21): 134-142

LIU Jun,2, HU min1, Chen Jianen1,2, Wang Xiaofeng1,2 . Vibration control and crack propagation delay of a nonlinear cracked rotor[J]. Journal of Vibration and Shock, 2018, 37(21): 134-142

参考文献

[1] 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): 114-20.
LIN Yan-li, CHU Fu-lei. Stiffness models for the cracked shaft of the rotor system [J]. Chinese Journal of Mechanical Engineering, 2008, 44(1): 114-20.
[2] SINOU J J. Effects of a crack on the stability of a non-linear rotor system [J]. 2007, 42(7): 959-72.
[3] ZHANG C L, BING L, YANG Z B, et al. Crack location identification of rotating rotor systems using operating deflection shape data [J]. Science China Technological Sciences, 2013, 56(7): 1723-32.
[4] RUBIO L, FERN NDEZ-S EZ J. A new efficient procedure to solve nonlinear dynamics of a cracked rotor [J]. Nonlinear Dynamics, 2012, 70(3): 1731-45.
[5] SILANI M, ZIAEI-RAD S, TALEBI H. Vibration analysis of rotating systems with open and breathing cracks [J]. Applied Mathematical Modelling, 2013, 37(37): 9907–21.
[6] 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): 121-6.
YAN Dan, GAN Chun-biao, YANG Shi-xi, et al. Stiffness and dynamical behavior of Jeffcott rotor with cross crack [J]. JOURNAL OF VIBRATION AND SHOCK. 2012, 31(15): 121-6.
[7] INOUE T, LIU J, YOSHIMURA Y, et al. Vibration Control and Unbalance Estimation of a Nonlinear Rotor System Using Disturbance Observer [J]. Journal of Vibration & Acoustics, 2009, 131(3): 031010 (8pages).
[8] GUO C, AL-SHUDEIFAT M A, YAN J, et al. Stability analysis for transverse breathing cracks in rotor systems [J]. European Journal of Mechanics A/solids, 2013, 42(6): 27–34.
[9] GASCH R. Dynamic behavior of a simple rotor with cross-sectional crack [J]. 1976,
[10] 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]. Reviews of Infectious Diseases, 1984, 6 Suppl 4(6): S909-23.
[11] 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): 108-12.
GAO Jian-min, ZHU Xiao-mei. Study on the model of the shaft crack opening and closing [J]. Chinese Journal of Applied Mechanics, 1992, 9(1): 108-112.
[12] AL-SHUDEIFAT M A. On the finite element modeling of the asymmetric cracked rotor [J]. Journal of Sound & Vibration, 2013, 332(11): 2795–807.
[13] 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 & Vibration, 2011, 330(3): 526-44.
[14] 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): 921-35.
[15] BACHSCHMID N, PENNACCHI P, TANZI E. Some remarks on breathing mechanism, on non-linear effects and on slant and helicoidal cracks [J]. Mechanical Systems & Signal Processing, 2008, 22(4): 879-904.
[16] MING T, ZHU C S. Research of self-sensing active magnetic bearings based on duty cycle compensation [J]. Journal of Zhejiang University, 2013, 47(8): 1418-23.
[17] SCHWEITZER G, MASLEN E H. Magnetic bearings: theory, design, and application to rotating machinery [M]. Springer, 2009.
[18] 虞烈. 可控磁悬浮转子系统[M]. 科学出版社, 2003.
Yu Lie. Controllable magnetic rotor system [M]. Beijing: Science Press, 2003: 179-193(in Chinese only)．
[19] ISHIDA Y, LIU J. Vibration Suppression of Rotating Machinery Utilizing Discontinuous Spring Characteristics (Stationary and Nonstationary Vibrations) [J]. 2008, 130(3): 345-50.
[20] 莫逆,刘兴男,周燕,等. 电磁轴承振动传递特性研究[J]. 振动与冲击, 2015, 34(6): 79-83.
MO Ni, LIU Xing-nan, ZHOU Yan, et al. Vibration transmission charateristics of active magnetic bearings [J]. JOURNAL OF VIBRATION AND SHOCK. 2015, 34(6): 79-83.
[21] 钟志贤,祝长生. 主动磁轴承控制器对Jeffcott转子裂纹故障特征的影响[J]. 中国电机工程学报, 2012, 32(5): 105-110.
ZHONG Zhixian, ZHU Changsheng. Effects of Active Magnetic Bearing Controller on Fault Characteristics of Jeffcott Cracked Rotor [J]. Proceeding of the CSEE, 2012, 32(5): 105-110.
[22] 占智军. 主动电磁轴承的设计与分析[D]. 浙江大学, 2013.
ZHAN Zhi-jun. Design and analysis of Active Magnetic Bearings [D]. Zhejiang University, 2013.
[23] 姚剑飞,王维民,杨佳丽,等. 转子-轴承系统中电磁作动器的力学特性分析及实验研究[J]. 北京化工大学学报(自然科学版), 2012, 39(5): 102-7.
YAO Jian-fei, WANG Wei-min, YANG Jia-li, et al. Characteristic analysis of electromagnetic force and experimental measurements for a rotor-bearing system [J]. Journal of Beijing University of Chemical Technology(Natural Science Edition). 2012, 39(5): 102-7.
[24] ZHU C, ROBB D, EWINS J. Effect of sinusoidal base motion on the dynamics of a rotor supported on active magnetic bearings [C]// 5th International Symposium on Magnetic Suspension Technology, July, 2000, Turin. Italy: ISMST, 2000: 263-270
[25] Jorabchi K, Yousefikoma A. A Neural Network Controller for Vibration Suppression of a Smart Fin[C]// Aiaa/asme/asce/ahs/asc Structures, Structural Dynamics, and Materials Conference, Aiaa/asme/ahs Adaptive Structures Conference. 2006.
[26] 刘金琨. 先进PID控制MATLAB仿真[M]. 电子工业出版社, 2016..
LIU Jin-kun. Advanced PID Control Matlab Simulation [M]. Publishing House of Electronics Industry, 2016.
[27] YOUSEFI H, HIRVONEN M, HANDROOS H, et al. Application of neural network in suppressing mechanical vibration of a permanent magnet linear motor [J]. Control Engineering Practice, 2008, 16(7): 787-97.
[28] AL-NASSAR Y N, SIDDIQUI M, AL-GARNI A Z. Artificial neural networks in vibration control of rotor-bearing systems [J]. Simulation Practice & Theory, 2000, 7(8): 729-40.
[29] Liu J, Fan Y, Wang L, et al. Research of the Delaying Crack Propagation on an Aero-Engine Rotor [J]. International Journal of Mechatronics and Automation, 2016, 5(4): 190-200.