为研究非稳态工况下电机-齿轮耦合作用机理,考虑电机电磁特性和齿轮系统扭转振动,将时变啮合刚度和啮合误差表示为齿轮转角的周期函数,建立了一个电机拖动多级齿轮系统的机电耦合模型。求得了系统的固有频率、模态振型及模态能量分布,仿真分析了受冲击载荷激励时齿轮系统的扭振特性和电机电流的频谱特征,比较了不同齿轮副的使用系数和动载系数,并进行了试验验证。结果表明:冲击引发该系统产生由一阶模态主导的瞬时自由振动,电机轴、太阳轮轴和齿圈支承处的扭转变形能量较大,为系统的薄弱环节。多级齿轮耦合振动对该系统高速级影响较大,导致载荷系数呈现出从高速级向低速级逐渐减小的趋势。在稳态运行阶段和瞬态冲击阶段,齿轮系统扭振特征频率在电机电流信号中均有所体现。
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.
关键词
多级齿轮 /
非稳态工况 /
扭振 /
电流特征分析 /
动载荷
{{custom_keyword}} /
Key words
multistage gear /
nonstationary operating conditions /
torsional vibration /
motor current signature analysis /
dynamic load
{{custom_keyword}} /
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
[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.
{{custom_fnGroup.title_cn}}
脚注
{{custom_fn.content}}