Nowadays, the wheels of worm gears with a low module can be made of plastic; thus, classical modeling can no longer be used satisfactorily. The present paper describes an original method for studying the quasistatic loaded behavior of a worm gear, with a steel worm and a nylon wheel. A generalized Kelvin model is proposed, and the computation of load sharing is described by using an equation of displacement compatibility. The history of previous deformation and the effect of the nylon’s structural damping are also taken into account. Experimental measurements of the loaded transmission error are performed with the help of optical encoders rigidly connected to the worm and gear shafts, giving access to their instantaneous angular positions. The numerical simulations fit quite well with the experimental results.
Issue Section:
Power Transmissions and Gearing
Topics:
Displacement,
Errors,
Gears,
Nylon fabrics,
Stress,
Wheels,
Worm gears,
Deformation,
Elastic moduli,
Computer simulation
1.
Tsukamoto
, N.
, 1995, “Argument on Plastic Gears for Power Transmission
,” JSME Int. J., Ser. C
1340-8062, 38
(1
), pp. 1
–7
.2.
Moriwaki
, I.
, Tada
, K.
, Tokuda
, G. D. H.
, and Saito
, K.
, 1996, “Viscoelastic Behaviour of Plastic Gears for Power Transmission (Fundamental Investigation)
,” Seventh International Power Transmission and Gearing Conference
, ASME
, San Diego, CA
, pp. 73
–80
.3.
Kobayashi
, K.
, and Tsukamoto
, N.
, 2000, “Formulae for Dynamic Behaviours of Tooth Deflection and Tooth Root Strain in Plastic Gears
,” Theor. Appl. Fract. Mech.
0167-8442, 49
, pp. 49
–56
.4.
Seol
, I. H.
, and Litvin
, F. L.
, 1996, “Computerized Design, Generation and Simulation of Meshing and Contact of Worm-Gear Drives With Improved Geometry
,” Comput. Methods Appl. Mech. Eng.
0045-7825, 138
, pp. 73
–103
.5.
Wang
, F.
, Su
, D.
, and Gentle
, C. R.
, 2001, “Finite Element Modeling and Load Share Analysis for Involute Worm Gears With Localized Tooth Contact
,” Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci.
0954-4062, 215
, pp. 805
–816
.6.
Sudoh
, K.
, Tanaka
, Y.
, Matsumoto
, S.
, and Tozaki
, Y.
, 1996, “Load Distribution Analysis Method for Cylindrical Worm Gear Teeth
,” JSME Int. J., Ser. C
1340-8062, 39
(3
), pp. 606
–613
.7.
Sharif
, K. J.
, Kong
, S.
, Evans
, H. P.
, and Snidle
, R. W.
, 2001, “Contact and Elastohydrodynamic Analysis of Worm Gears, Part 1: Theoretical Formulation
,” Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci.
0954-4062, 215
, pp. 817
–830
.8.
Wang
, X.
, and Morrish
, L.
, 2003, “Predictions of Wear and Transmission Errors of Cylindrical Worm Gears
,” ASME Proceedings of DETC2003
, Chicago, IL
, Paper No. PTG-48107.9.
Simon
, V.
, 2003, “Load Distribution in Cylindrical Worm Gears
,” Mountain Res. Devel.
0276-4741, 125
, pp. 356
–364
.10.
Simon
, V.
, 2003, “Computer Aided Tooth Contact Analysis in Cylindrical Worm Gears
,” ASME Proceedings of DETC2003
, Chicago, IL
, Paper No. PTG-48107.11.
De Vaujany
, J. P.
, Kim
, H. C.
, Guingand
, M.
, and Play
, D.
, 1996, “Effect of Rim and Web Into the Stress of Internal Cylindrical Gears
,” Seventh International Power Transmission and Gearing Conference
, ASME
, San Diego, CA
, pp. 73
–80
.12.
Guingand
, M.
, de Vaujany
, J. P.
, and Icard
, Y.
, 2005, “Analysis and Optimization of the Loaded Meshing of a Face Gear
,” ASME J. Mech. Des.
1050-0472, 127
, pp. 135
–143
.13.
Icard
, Y.
, 2005, “Engrenage Spiro-Conique: Modélisation Sous Charge Appliquée au Domaine Aéronautique
,” Thèse de Doctorat, INSA de Lyon, France.14.
Hiltcher
, Y.
, Guingand
, M.
, and de Vaujany
, J. P.
, 2007, “Load Sharing of Worm Gear With a Plastic Wheel
,” ASME J. Mech. Des.
1050-0472, 129
, pp. 23
–30
.15.
de Vaujany
, J. P.
, Guingand
, M.
, Remond
, D.
, and Icard
, Y.
, 2005, “Numerical and Experimental Study of the Loaded Transmission Error of a Spiral Bevel Gear
,” Proceedings of DETC’05
, PTG, ASME
, Long Beach
.16.
Hiltcher
, Y.
, Guingand
, M.
, and de Vaujany
, J. P.
, 2006, “Numerical Simulation and Optimisation of Worm Gear Cutting
,” Mech. Mach. Theory
0094-114X, 41
(9
), pp. 1090
–1110
.17.
Hiltcher
, Y.
, Guingand
, M.
, and Play
, D.
, 1999, “Caractérisation Numérique de la Portée de Denture Pour les Engrenages Roue et vis Sans fin
,” Fourth World Congress on Gearing and Power Transmission
, Paris
.18.
Rémond
, D.
, 1998, “Practical Performances of High-Speed Measurement of Gear Transmission Error or Torsional Vibrations With Optical Encoders
,” Meas. Sci. Technol.
0957-0233, 9
, pp. 347
–353
.19.
Rémond
, D.
, and Mahfoudh
, J.
, 2005, “From Transmission Error Measurements to Angular Sampling in Rotating Machines With Discrete Geometry
,” Shock Vib.
1070-9622, 12
(2
), pp. 149
–161
.Copyright © 2008
by American Society of Mechanical Engineers
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