Sliding friction between meshing teeth is one of the primary excitations for noise and vibration in geared systems. Yet, there exist very limited studies on this topic. This paper proposes new modeling strategies for incorporating friction in the dynamic analysis of a gear pair. First, some tribological issues are discussed for estimation of the friction forces under different operating conditions. Second, modeling procedures and results are compared for linear time-invariant, linear time-varying and non-linear time-varying formulations. Criteria such as energy balance, system complexity and desired solution methodology are discussed. Finally, sample results from the various analyses along with their benefits and limitations are examined.
Issue Section:
Technical Papers
1.
Martin
, K. F.
, 1978
, “A Review of Friction Predictions in Gear Teeth
,” Wear
, 49
, pp. 201
–238
.2.
Kelley
, B. W.
, and Lemanski
, A. J.
, 1967
, “Lubrication of Involute Gearing
,” Proc. Inst. Mech. Eng.
, 182
(3A
), pp. 173
–184
.3.
Radzimovsky
, E.
, and Mirarefi
, A.
, 1974
, “Dynamic Behavior of Gear Systems and Variation of Coefficient of Friction and Efficiency during the Engagement Cycle
,” ASME J. Eng. Ind.
, 74-DET-86
, pp. 1
–7
.4.
Iida
, H.
, Tamura
, A.
, and Yamada
, Y.
, 1985
, “Vibrational Characteristics of Friction between Gear Teeth
,” Bull. JSME
, 28
(241
), pp. 1512
–1519
.5.
Borner, J., and Houser, D. R., 1996, “Friction and Bending Moments as Gear Noise Excitations,” Society of Automotive Engineers Technical Paper Series, 961816, pp. 1–8.
6.
Velex, P., and Cahouet, V., 2000, “Experimental and Numerical Investigations on the Influence of Tooth Friction in Spur and Helical Gear Dynamics,” Proceedings of the 2000 ASME Design Engineering Technical Conferences, DETC2000/PTG-14430, pp. 1–10.
7.
Vaishya, M., and Houser, D. R., 2000, “Modeling and Analysis of Sliding Friction in Gear Dynamics,” Proceedings of the 2000 ASME Design Engineering Technical Conferences, DETC2000/PTG-14431, pp. 1–10.
8.
Vaishya
, M.
, and Singh
, R.
, 2000
, “Analysis of Periodically Varying Gear Mesh Systems with Coulomb Friction using Floquet Theory
,” J. Sound Vib.
, 243
(3
), pp. 525
–545
.9.
Ozguven
, H. N.
, and Houser
, D. R.
, 1988
, “Mathematical Models used in Gear Dynamics—a Review
,” J. Sound Vib.
, 121
(3
), pp. 383
–411
.10.
Blankenship, G. W., and Singh, R., 1992, “A Comparative Study of Selected Gear Mesh Force Interface Dynamic Models,” Proceedings of the 6th ASME International Power Transmission and Gearing Conference, Vol. DE-43-1, pp. 137–146.
11.
Padmanabhan
, C.
, and Singh
, R.
, 1996
, “Analysis of Periodically Forced Nonlinear Hill’s Oscillator with Application to a Geared System
,” J. Acoust. Soc. Am.
, 99
(1
), pp. 324
–334
.12.
Blankenship
, G. W.
, and Singh
, R.
, 1995
, “Analytical Solution for Modulation Sidebands Associated with a Class of Mechanical Oscillators
,” J. Sound Vib.
, 179
(1
), pp. 13
–36
.13.
Ozguven
, H. N.
, and Houser
, D. R.
, 1988
, “Dynamic Analysis of High Speed Gears by using Loaded Static Transmission Error
,” J. Sound Vib.
, 125
(1
), pp. 71
–83
.14.
Benton
, M.
, and Seireg
, A.
, 1978
, “Simulation of Resonances and Instability Conditions in Pinion-Gear Systems
,” ASME J. Mech. Des.
, 100
, pp. 26
–32
.15.
Vaishya
, M.
, and Singh
, R.
, 2000
, “Sliding Friction Induced Non-linearity and Parametric Effects in Gear Dynamics
,” J. Sound Vib.
, 248
(4
), pp. 671
–694
.16.
Conry
, T. F.
, and Seireg
, A.
, 1973
, “A Mathematical Programming Technique for the Evaluation of Load Distribution and Optimal Modifications for Gear Systems
,” ASME J. Eng. Ind.
, pp.
1115
–1122
.17.
Oh, S., Grosh, K., and Barber, J. R., 1998, “Dynamic Behavior of Interacting Spur Gears: Energy Conservation,” Proceedings of the National Conference on Noise Control Engineering, Institute of Noise Control Engineering, pp. 145–150.
18.
Richards, J. A., 1983, Analysis of Periodically Time-Varying Systems, Springer-Verlag, New York.
19.
Padmanabhan
, C.
, Barlow
, R. C.
, Rook
, T. E.
, and Singh
, R.
, 1995
, “Computational Issues Associated with Gear Rattle Analysis
,” ASME J. Mech. Des.
, 117
, pp. 185
–192
.20.
Oberhettinger, F., 1973, Fourier Expansions A Collection of Formulas, Academic Press, Inc., New York.
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