Dynamic Modeling of PGT using Analytical & Numerical Approach

S. S. Ghorpade^1, , A. B. Kadam¹, D.A. Mane¹, S. H. Gawande¹ and S. N. Shaikh¹

¹Department of Mechanical Engineering, M. E. Society’s College of Engineering, Pune, S.P. Pune University, Maharashtra, India

Cite this paper:
S. S. Ghorpade, A. B. Kadam, D.A. Mane, S. H. Gawande and S. N. Shaikh. Dynamic Modeling of PGT using Analytical & Numerical Approach. Journal of Mechanical Design and Vibration. 2015; 3(1):24-30. doi: 10.12691/jmdv-3-1-3

Abstract

Gears are one of the most critical components in industrial rotating machinery. There is a vast amount of literature on gear modelling. The objectives in dynamic modelling of gears has varied from vibration analysis and noise control, to transmissions errors and stability analysis over at least the past five decades. The ultimate goal of this paper is to perform planetary gear train modeling as in [1] to study the effect deflection and stresses on surface pitting and scoring. This paper is an extension of the work performed by the authors as in [1], in which the experimental work was carried out to study the effect of planet phasing on noise and subsequent resulting vibrations of Nylon-6 planetary gear drive.

Keywords:
planetary gear train (pgt) pgt modeling finite element analysis

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References:

[1]	S. H. Gawande , S. N. Shaikh, “Experimental Investigations of Noise Control in Planetary Gear Set by Phasing”., Journal of Engineering, 2014, 1-11, 2014.
[2]	A. Kahraman , G.W. Blankenship, “Experiments on nonlinear dynamic behavior of an oscillator with clearance and periodically time varying parameters”. Journal of Applied Mechanics, 64 (1), 217-226, 1997.
[3]	G.W. Blankenship, A. Kahraman, “Steady state forced response of a mechanical oscillator with combined parametric excitation and clearance type non-linearity”. Journal of Sound and Vibration, 185 (5), 743-765, 1995.
[4]	M. Botman, “Vibration measurements on planetary gears of aircraft turbine engines”, Journal of Aircraft,17(5), 351-357, 1980.
[5]	F. Cunliffe, J. D. Smith, D.B. Welbourn, “Dynamic tooth loads in epicyclic gears”. , 96(2), 578-584, 1974.
[6]	M. Botman, “Epicyclic gear vibrations”. , 98 (3), 811-815, 1976.
[7]	T. Hidaka, Y. Terauchi, “Dynamic behaviour of planetary gear (1st report: load distribution in planetary gear)”. Bulletin of the JSME Japan Society of Mechanical Engineers, 19(132), 690-698, 1976.
[8]	T. Hidaka, Y. Terauchi, K. Ishioka, “Dynamic behaviour of planetary gear (2nd report: displacement of sun gear and ring gear)”. Bulletin of the JSME-Japan Society of Mechanical Engineers, 19 (138), 1563-1570, 1976.
[9]	A. Kahraman, “Planetary gear train dynamics”. Journal of Mechanical Design, 116 (3), 713-720, 1994.
[10]	A. Kahraman, “Natural-modes of planetary gear trains”. Journal of Sound and Vibration, 173 (1), 125-130, 1994.
[11]	A. Kahraman, “Load sharing characteristics of planetary transmissions”. Mechanism and Machine Theory, 29(8), 1151-1165, 1994.
[12]	J. Lin, R.G. Parker, “Analytical characterization of the unique properties of planetary gear free vibration”. Journal of Vibration and Acoustics, 121(3), 316-321, 1999.
[13]	J. Lin, R.G. Parker, “Structured vibration characteristics of planetary gears with unequally spaced planets”. Journal of Sound and Vibration, 233(50), 921-928, 2000.
[14]	J. Lin, R.G. Parker, “Sensitivity of planetary gear natural frequencies and vibration modes to model parameters”. Journal of Sound and Vibration, 228 (1), 109-128, 1999.
[15]	J. Lin, R.G. Parker, “Natural frequency veering in planetary gears”. Mechanics of Structures and Machines, 29(4), 411-429, 2001.
[16]	J. Lin, R.G. Parker, “Planetary gear parametric instability caused by mesh stiffness variation”. Journal of Sound and Vibration, 249 (1), 129-145, 2002.
[17]	A. Kahraman, G.W. Blankenship, “Planet mesh phasing in epicyclic gear sets”. International Gearing Conference, Newcastle, Wash, USA, 1994.
[18]	R.G. Parker, “A physical explanation for the effectiveness of planet phasing to suppress planetary gear vibration”. Journal of Sound and Vibration, 236(4), 561-573, 2000.
[19]	R.G. Parker, S.M. Vijayakar, T. Imajo, “Non-linear dynamic response of a spur gear pair: modeling and experimental comparisons”. Journal of Sound and Vibration, 237(3), 435-455, 2000.
[20]	R.G. Parker, V. Agashe, S.M. Vijayakar, “Dynamic response of a planetary gear system using a finite element/contact mechanics model”. Journal of Mechanical Design, 122(3), 304-310, 2000.
[21]	A. Kahraman, S.M. Vijayakar, “Effect of internal gear flexibility on the quasi-static behavior of a planetary gear set”. Journal of Mechanical Design,123(3), 408-415, 2001.
[22]	A. Kahraman, A.A. Kharazi, M. Umrani, “A deformable body dynamic analysis of planetary gears with thin rims”. Journal of Sound and Vibration, 262(3), 752-768, 2003.
[23]	C. Yuksel, A. Kahraman, “Dynamic tooth loads of planetary gears sets having tooth profile wear”. Mechanisms and Machine Theory, 39 (7), 695-715, 2004.
[24]	R. J. Drago, “How to design quiet transmissions”. Machine Design, 52(28), 175-181, 1980.
[25]	H.N.Özguven, D.R. Houser, “Mathematical models used in gear dynamics – A review”. Journal of sound and vibration, 121 (3), 383-411, 1988.
[26]	S.H.Gawande, S.N.Shaikh, R.N.Yerrawar, and K.A.Mahajan, “Noise Level Reduction in Planetary Gear Set”. Journal of Mechanical Design & Vibration, 2 (3), 60-62, 2014.
[27]	V.K. Ambarisha, R.G. Parker, “Suppression of planet mode response in planetary gear dynamics through mesh phasing”. Journal of Vibration and Acoustics, 128(2), 133-142, 2006.
[28]	J. Wang, Y. Wang, and Z. Huo, “Finite Element Residual Stress Analysis of Planetary Gear Tooth”. Advances in Mechanical Engineering, 2013 ,1-12, 2014.