Dynamic characteristics of a motor-driven multistage gear system under impact load
YI Yuanyuan1, QIN Datong1, LIU Changzhao1,2
1. State Key Lab of Mechanical Transmissions, Chongqing University, Chongqing 400044, China;
2. Sichuan Provincial Key Lab of Process Equipment and Control, Sichuan University of Science and Engineering, Zigong 643000, China
Abstract:To investigate interaction mechanism of a motor-gear system under non-steady state conditions,an electrical-mechanical coupled dynamic model for a motor-driven multistage gear system was established considering electromagnetic characteristics of motor and torsional vibration of gear system. The system’s natural frequencies, modal shapes and modal energy distribution were obtained. The gear system’s torsional vibration features under impact load and the motor’s current frequency spectrum features were simulated and analyzed to compare different gear pairs’ use factors and dynamic load factors, and conduct verification tests. The results showed that impact load causes the system to have transient free vibration dominated by the first order mode; torsional deformation energy is larger at motor shaft, sun gear shaft and gear ring support,these places are the system’s weak parts; multi-stage gear coupled vibration affects the system’s high speed stage greatly to cause the load factor dropping from high-speed stage to low-speed one; in steady state operation stage and transient impact one, the gear system’s torsional feature frequencies can be reflected in the motor’s current signal.
易园园1,秦大同1,刘长钊1, 2. 冲击载荷下电机-多级齿轮系统动态特性研究[J]. 振动与冲击, 2019, 38(19): 253-260.
YI Yuanyuan1, QIN Datong1, LIU Changzhao1,2. Dynamic characteristics of a motor-driven multistage gear system under impact load. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(19): 253-260.
[1] 邹今春,沈玉娣. 变工况齿轮箱故障诊断方法综述[J]. 机械传动,2012, 36(8): 124-127.
ZOU Jin-chun, SHEN Yu-di. Review of gearbox fault diagnosis techniques under variable conditions[J]. Journal of Mechanical Transmission, 2012, 36(8): 124-127.
[2] Ramtharan G, Jenkins N, Anaya-Lara O, et al. Influence of rotor structural dynamics representations on the electrical transient performance of FSIG and DFIG wind turbines[J]. Wind Energy. 2007, 10(4): 293-301.
[3] Kanaan H Y, Al-Haddad K, Roy G. Analysis of the electromechanical vibrations in induction motor drives due to the imperfections of the mechanical transmission system[J]. Mathematics and Computers in Simulation. 2003, 63(3-5SI): 421-433.
[4] Chen K, Hu J, Peng Z. Analysis of torsional vibration in an electromechanical transmission system[J]. Advances in Mechanical Engineering. 2016, 8(6): 2071834146.
[5] Mandic G, Ghotbi E, Nasiri A, et al. Mechanical stress reduction in variable speed wind turbine drivetrains[M]. IEEE Energy Conversion Congress and Exposition, 2011, 306-312.
[6] Zhang Y, Yan X, Lin Q. Characteristic of torsional vibration of mill main drive excited by electromechanical coupling[J]. Chinese Journal of Mechanical Engineering. 2016, 29(1): 180-187.
[7] Helsen J, Marrant B, Vanhollebeke F, et al. The influence of flexibility within multibody modeling of multi-megawatt wind turbine gearboxes[J]. Mechanical Systems and Signal Processing. 2013, 40(1): 114-135.
[8] Qin D, Wang J, Lim T C. Flexible multibody dynamic modeling of a horizontal wind turbine drivetrain system[J]. Journal of Mechanical Design. 2009, 131(11450111).
[9] Yu H, Eberhard P, Zhao Y, et al. Sharing behavior of load transmission on gear pair systems actuated by parallel arrangements of multiple pinions[J]. Mechanism and Machine Theory, 2013, 65(7):58-70.
[10] Chen Z, Zhai W, Wang K. A locomotive-track coupled vertical dynamics model with gear transmissions[J]. Vehicle System Dynamics. 2017, 55(2): 244-267.
[11] Tang X, Zhang J, Zou L, et al. Study on the torsional vibration of a hybrid electric vehicle powertrain with compound planetary power-split electronic continuous variable transmission[J]. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science. 2014, 228(17): 3107-3115.
[12] OTTEWILL J R, RUSZCZYK A, BRODA D. Monitoring tooth profile faults in epicyclic gearboxes using synchronously averaged motor currents: Mathematical modeling and experimental validation[J]. Mechanical Systems and Signal Processing, 2017, 84(1): 78-99.
[13] ZHANG J, DHUPIA J S, GAJANAYAKE C J. Stator current analysis from electrical machines using resonance residual technique to detect faults in planetary gearboxes[J]. IEEE Transactions on Industrial Electronics, 2015, 62(9): 5709-5721.
[14] FEKI N, CLERC G, VELEX P. An integrated electro-mechanical model of motor-gear units—Applications to tooth fault detection by electric measurements[J]. Mechanical Systems and Signal Processing, 2012, 29(5): 377-390.
[15] 陈 峙,王 铁,谷丰收,等. 基于电动机电流信号双谱分析的齿轮传动故障诊断[J]. 机械工程学报,2012, 48(21): 84-90.
CHEN Zhi, WANG Tie, GU Feng-shou, et al. Gear transmission fault diagnosis based on the bispectrum analysis of induction motor current signatures[J]. Journal of Mechanical Engineering, 2012, 48(21): 84-90.
[16] Lin H H, Huston R L, Coy J J. On dynamic loads in parallel shaft transmissions[J]. Journal of Mechanisms Transmissions and Automation in Design, 1988, 110(2): 221-225.
[17] Krause P, Wasynczuk O, Sudhoff S, etc. Analysis of electric machinery and drive systems[M]. Wiley-IEEE Press, 2013.
[18] 夏元烽,李宏成,唐 禹,等. 后驱车传动系统扭转与弯曲振动的NVH性能[J]. 噪声与振动控制,2011, 10(5): 75-79.
XIA Yuan-feng, LI Hong-cheng, TANG Yu, et al. Study on torsional and bending vibration of rear-drive transmission[J]. Noise and Vibration Control, 2011, 10(5): 75-79.
[19] 廖伯瑜,周新民,尹志宏. 现代机械动力学及其工程应用[M]. 北京:机械工业出版社,2003.
LIAO Bo-yu, ZHOU Xin-min, YIN Zhi-hong. Modern mechanical dynamics and engineering application[M]. Beijing: China Machine Press, 2003.
[20] WEI J, LV C, SUN W, et al. A study on optimum design method of gear transmission system for wind turbine[J]. International Journal of Precision Engineering and Manufacturing, 2013, 14(5): 767-778.
[21] YI Y, QIN D, LIU C. Investigation of electromechanical coupling vibration characteristics of an electric drive multistage gear system[J]. Mechanism and Machine Theory, 2018, 121(3): 446–459.