Journal of Applied Nonlinear Dynamics
Nonlinear Dynamic Characteristic Analysis of Planetary Gear Transmission System for the Wind Turbine
Journal of Applied Nonlinear Dynamics 4(3) (2015) 281--294 | DOI:10.5890/JAND.2015.09.008
Zhao-Hui Ren$^{1}$, Liang Fu$^{1}$, Ying-Juan Liu$^{2}$, Shi-Hua Zhou$^{1}$, Bang-Chun Wen$^{1}$
$^{1}$ School of Mechanical Engineering and Automation, Northeastern University, Shenyang, 110004, China
$^{2}$ Scholl of Qian’an, Hebei United University, Tangshan, 064400, China
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Abstract
Foreign Object Debris (FOD) is debris or article alien, which may A compared with the translational-torsional dynamic model of planetary gear transmission system (PGTS) used in wind turbine is established in order to analyze the dynamic characteristics of the PGTS more accurately. The influences of the meshing stiffness, input and output torques, meshing error, nonlinear characteristics of the support bearing and gravity are considered in the model. Based on previous model, the vibration differential equations of the drive-train are obtained through the Lagrange’s equation. The dynamic response characteristics are investigated using the Runge–Kutta numerical method, and the factors of the above proposed excitation are analyzed. The results show clearly that the vibration responses have different characteristics due to the different speeds of each component in the PGTS. The nonlinear behaviour of support bearing causes the dynamic response more complicated In addition, under the internal and external excitations, more frequency multiplication and frequency combination components appear. The vibration frequency components of the system are mainly concentrated in the frequency range below 200Hz. The results of the study in this paper can provide necessary theoretical basis for natural characteristics study, dynamic response and optimization design method of the MW wind turbine PGTS.
Acknowledgments
The authors gratefully acknowledge the financial support provided by Natural Science Foundation of China (No. 51475084).
References
-
[1]  | Wu, X.H., and Parker, R. G. (2008), Modal properties of planetary gears with an elastic continuum ring gear, ASME Journal of Applied Mechanics, 75, 1-12. |
-
[2]  | Ambarisha, V. K. and Parker, R. G. (2006), Suppression of planet mode response in planetary gear dynamics through mesh phas ing, Journal of Vibration and Acoustics, 128, 133-142. |
-
[3]  | Wu, S. J., Ren, H.and Zhu, E. Y., Other (2010), Research advances for dynamics of planetary gear trains, Engineering Journal of Wuhan University, 43, 398-403. |
-
[4]  | Zhu, F. M., Li, W. L.and Maropoulso, P. G. (2005), Tolerance analysis of a planetary gear reducer under cad circumstance, Chi nese Journal of Mechanical Engineering, 18, 342-345. |
-
[5]  | Sun, D. Y., Qin, D. T. and Wang, H. Y. (2002), Control strategy of a parallel hybrid car with a metal belt-planetary gear continu ously variable transmission system, Chinese Journal of Mechanical Engineering, 15, 199-203. |
-
[6]  | Kahraman, A., Kharai, A. A.and Umrain, M .(2003), A deformable body dynamic analysis of planetary gears with thin rims, Journal of Sound and Vibration, 262, 752-768. |
-
[7]  | Bu, Z.H., Liu, G.,and Wu, L.Y. (2010), Research advances in planetary gear trains dynamics, Journal of vibration and shock, 29, 161-167. |
-
[8]  | Velex, P.and Flamand, L. (1996), Dynamic response of planetary trains to mesh parametric excitations, Journal of Mechanical Design, Transaction of the ASME, 118, 7-14. |
-
[9]  | August, R.and Kasuba, R. (1986), Torsional vibration and dynamic loads in a basic planetary gear system, ASME Journal of Vi bration Acoustics Stress and Reliability in Design, 108, 348-353. |
-
[10]  | Parker, R .G .(2000), A physical explanation for the effectiveness of planet phasing to suppress planetary gear vibration, Journal of Sound and Vibration, 236, 561-573. |
-
[11]  | Lin, J. and Parke, R. G. (2002), Planetary gear parametric instability caused by mesh stiffness variation, Journal of Sound and Vibration, 249, 129-141. |
-
[12]  | Parke, R. G. and Lin, J. (2004), Mesh phasing relationships in planetary and epicyclic gears, ASME Journal of Mechanical De sign, 126, 365-370. |
-
[13]  | Kahraman, A. (2001), Free torsional vibration characteristics of compound planetary gear sets, Mechanism and Machine Theory, 2001, 36, 953-971. |
-
[14]  | Kahraman, A. (1994), Planetary gear train dynamics, ASME Journal of Mechanical Design, 116, 714-720. |
-
[15]  | Kahraman, A. (1994), Natural modes of planetary gear trains, Journal of Sound and Vibration, 173, 125-130. |
-
[16]  | Kahraman, A. (1994), Load sharing characteristics of planetary transmissions, Mechanism and Machine, Theory, 29, 1151-1165. |
-
[17]  | Wang, S. Y., Song, Y. M.and Zhang, C., Other (2005), Impacts of Basic Parameters on Planetary Gear Characteristics, China Mechanical Engineering, 16, 615-617. |
-
[18]  | Zhang, J.and Song, Y. M. (2011), Dynamic Modeling and Eigenvalue Evaluation of NW Spur Planetary Gear Unit, Journal of Tianjin University, 44, 677-682. |
-
[19]  | Lin, J.,and Parker, R. G. (1999), Analytical characterization of the unique properties of planetary gear free vibration, ASME Journal of Vibration and Acoustics, 121, 361-321. |
-
[20]  | Lin, J. (2000), Analytical investigation of planetary gear dynamics, PhD Thesis, Ohio, The Ohio State University. |
-
[21]  | Yang, J.and Zhang, L. P .(2013), Varying load incentive dynamics model and response characteristic of planetary gear system of wind turbine, Chain engineering, 24, 1783-1795. |
-
[22]  | Sun, T.and Hu, H. Y. (2003), Nonlinear dynamics of a planetary gear system with multiple clearances, Mechanism and Machine Theory, 38, 1371-1390. |
-
[23]  | Qin, D. T., Yang, J., and Zhou, Z. G., Other (2013), Dynamics characteristic of planetary gear system of wind turbines under varying load, China engineering, 24(3), 295-301. |
-
[24]  | Yang, T. Q. (2005), Property analysis of free vibration of helical planetary gear trains, Chinese Journal of Mechanical Engineer ing, 41, 50-55. |
-
[25]  | Parker, R. G., Agashe, V.,and Vijayakar, S. M. (2000), Dynamic response of a planetary gear system using a finite ele ment/contact mechanics mode, Journal of Sound and Vibration, 122, 305-311. |
-
[26]  | Jan, H., Frederik, V.,and Ben, M., Other (2011), Multi-body modeling of varying complexity for modal behaviour analysis of wind turbine gear boxes, Renewable Energy, 36, 3098-3113. |
-
[27]  | Vijaya, K. A.and Robert, G. P. (2007), Nonlinear dynamics of planetary gears using analytical and finite element models, Jour nal of Sound and Vibration, 302, 577-595. |
-
[28]  | Cheon, J. B.and Robert, G. P. (2011), Analytical solution for the nonlinear dynamics of planetary gears, Journal of Computa tional and Nonlinear Dynamics, 6, 1-15. |
-
[29]  | Abousleiman, V.and Velex, P. (2006), A hybrid 3D finite element/lumped parameter model for quasi-static and dynamic anal yses of planetary/epicyclic gear sets, Mechanism and Machine Theory, 41, 725-748. |
-
[30]  | Chaari, F.and Fakhfakh, T. (2006), Mohamed influence of manufacturing errors on the dynamic behavior of planetary gears, International Journal of Advanced Manufacturing Technology, 27, 738-746. |
-
[31]  | Al-shyyab, A.and Kahraman, A. (2007), A nonlinear dynamic model for planetary gear sets, Proceedings of the Institution of Mechanocal Engineers, Park K, Journal of Multi-body Dynamics, 22, 567-576. |
-
[32]  | Kiracofe, D. R.and Parker, R. G. (2006), Structured vibration modes of general compound planetary gear systems, ASME Jour nal of Vibration and Acoustics, 129, 1-16. |
-
[33]  | Zhang, J., Song, Y. M., Zhang, C. and Wang , J. J. (2010), Analysis of free vibration of NGW spur planetary gear set, Journal of Tianjin University, 43, 90-94. |
-
[34]  | Chen, G. (2008), Dynamic analysis of ball bearing faults in rotor-ball bearing- stator coupling system, Journal of Vibration En gineering, 21, 577-587. |
-
[35]  | Dou, W., Zhang, N.and Liu, Z. S. (2011), The coupled bending and torsional vibrations of the high-speed geared rotor-bearing system, Journal of Vibration Engineering, 24, 385-393. |
-
[36]  | Qin, D. T., Xiao, Z. M.and Wang, J. H. (2011), Dynamic characteristics of multi-stage planetary gears of shield tunnelling machine based on planet mesh phasing analysis, Journal of Mechanical Engineering, 47, 20-29. |