Nonlinear Dynamics of the Gear System in Five Shaft Integrally Geared Centrifugal Compressor

doi:10.3901/JME.2017.23.039

Abstract

Abstract: Integral gear assembly centrifugal compressor is critical in modern energy equipment field, which has advantages of high efficiency, lower cost and compact structure. The most important characteristic of its rotor system is its complicated dynamic characteristics due to the interaction of the multiple rotors in paralleled arrangement and coupled by different gears, which would make the performance of the equipment significantly influenced by the nonlinear characteristics of mesh force. In this paper, a dynamic model of the gear system in a five shaft integrally geared centrifugal compressor is proposed, where the time-varying stiffness, tooth backlash and the gear mesh errors are considered and the dimensionless method is applied. Then, the response characteristics and complex dynamics behaviors of the gear system are analyzed with different meshing frequencies and different loads with numerical analysis method. The result shows that the obvious nonlinear phenomena of the gear system are shown with the increasing meshing frequency. The impact between the gears could be reduced under controlled loading, which would ensure the gear system vibrate in a particular state.

Key words: five shafts integrally geared centrifugal compressor, gear system, nonlinear dynamics, tooth backlash

CLC Number:

TG156

REN Hongjun, ZHANG Hao, YU Xiaoguang, SUN Wei. Nonlinear Dynamics of the Gear System in Five Shaft Integrally Geared Centrifugal Compressor[J]. Journal of Mechanical Engineering, 2017, 53(23): 39-45.

References

[1] WEHRMAN J G, WALDER T E, HARYETT N J. The use of integrally geared compressors based on two industrial gas companies' experience[C]//Proceedings of the 32nd Turbomachinery Symposium, Texas, 2003:209-220.
[2] MORINI M, PINELLI M, VENTURINI M. Analysis of biogas compression system dynamics[J]. Applied Energy, 2009, 86(11):2466-2475.
[3] JIANG W, KHAN J, DOUGAL R A. Dynamic centrifugal compressor model for system simulation[J]. Journal of power sources, 2006, 158(2):1333-1343.
[4] LEE Y B, KIM T H, KIM C H, et al. Suppression of subsynchronous vibrations due to aerodynamic response to surge in a two-stage centrifugal compressor with air foil bearings[J]. Tribology Transactions, 2003, 46(3):428-434.
[5] GRUNTFEST P M, ANDRONIS L, MARSCHER M D.Rotor instability problems in an integrally geared compressor supported by tilting pad bearings[C]//Turbomachinery Symposium Proceedings, Texas, 2001:39-48.
[6] MOORE J J, WALKER S T, KUZDZAL M J. Rotordynamic stability measurement during full-load, full-pressure testing of a 6000 Psi re-injection centrifugal compressor[C]//Proc. of the Thirty-first Turbomachinery Symposium, Texas, 2002:29-38.
[7] KIM K H, FLEETER S. Compressor unsteady aerodynamic response to rotating stall and surge excitations[J]. Journal of Propulsion and Power, 1994, 10(5):698-708.
[8] THEODOSSIADES S, NATSIAVAS S. Non-linear dynamics of gear-pair systems with periodic stiffness and backlash[J]. Journal of Sound and Vibration, 2000, 229(2):287-310.
[9] VELEX P, CAHOUET V. Experimental and numerical investigations on the influence of tooth friction in spur and helical gear dynamics[J]. Transactions-American Society of Mechanical Engineers Journal of Mechanical Design, 2000, 122(4):515-522.
[10] VAISHYA M, SINGH R. Analysis of periodically varying gear mesh systems with Coulomb friction using Floquet theory[J]. Journal of Sound and Vibration, 2001, 243(3):525-545.
[11] KIRACOFE D R, PARKER R G. Structured vibration modes of general compound planetary gear systems[J]. Journal of Vibration and Acoustics, 2007, 129(1):1-16.
[12] GUERINE A, HAMI A E, WALHA L, et al. A perturbation approach for the dynamic analysis of one stage gear system with uncertain parameters[J]. Mechanism and Machine Theory, 2015:113-126.
[13] 秦大同,白温毓,张福平. 制动工况下风电齿轮传动系统的动力学特性分析[J]. 太阳能学报, 2015, 36(2):305-312. QIN Datong, BAI Wenyu, ZHANG Fuping. Dynamic characteristic analysis of gear transmission system of wind turbine during braking process[J]. Acta Energiae Solaris Sinica, 2015, 36(2):305-312.
[14] WEI J, SUN Q, SUN W, et al. Dynamic analysis and load-sharing characteristic of multiple pinion drives in tunnel boring machine[J]. Journal of Mechanical Science and Technology, 2013, 27(5):1385-1392.
[15] WEI J, LÜ C, SUN W. 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
[16] 雷亚国,罗希,刘宗尧,等. 行星轮系动力学新模型及其故障响应特性研究[J]. 机械工程学报, 2016, 52(13):111-122. LEI Yaguo, LUO Xi, LIU Zongyao, et al. A new dynamic model of planetary gear sets and research on fault response characteristics[J]. Journal of Mechanical Engineering, 2016, 52(13):111-122.