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TECHNICAL PAPERS

Load Distribution in Cylindrical Worm Gears

[+] Author and Article Information
Vilmos Simon

Department of Mechanics and Engineering Design, St. István University, 2103 Gödöllo, Páter Károly u. 1, Hungary

J. Mech. Des 125(2), 356-364 (Jun 11, 2003) (9 pages) doi:10.1115/1.1561043 History: Received June 01, 2000; Revised July 01, 2002; Online June 11, 2003
Copyright © 2003 by ASME
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References

Winter,  H., and Wilkesmann,  H., 1981, “Calculation of Cylindrical Worm Gear Drives of Different Tooth Profiles,” ASME J. Mech. Des., 103, pp. 73–81.
Octrue, M., 1988, “A New Method for Designing a Wormgear,” AGMA Technical Paper 88FTM6, Alexandria, VA.
Simon, V., 1985, “The Influence of Hob Diameter on Worm Gear Mesh,” Symposium on Machine Design, Ohrid, Proceedings, pp. 49–64.
Litvin,  F. L., and Kin,  V., 1992, “Computerized Simulation of Meshing and Bearing Contact for Single-Enveloping Worm-Gear Drives,” ASME J. Mech. Des., 114, pp. 313–316.
Litvin,  F. L., Seol,  I. H., Kim,  D., Lu,  J., Wang,  A. G., Egelja,  A., and Zhao,  X., 1996, “Kinematic and Geometric Models of Gear Drives,” ASME J. Mech. Des., 118, pp. 544–550.
Seol,  I. H., and Litvin,  F. L., 1996, “Computerized Design, Generation and Simulation of Meshing and Contact of Modified Involute, Klingelnberg and Flender Type Worm-Gear Drives,” ASME J. Mech. Des., 118, pp. 551–555.
Fang,  H. S., and Tsay,  C. B., 1996, “Mathematical Model and Bearing Contacts of the ZK-Type Worm Gear Set Cut by Oversize Hob Cutters,” Mech. Mach. Theory, 31, pp. 271–282.
Fang, H. S., and Tsay, C. B., 1999, “Mathematical Model and Bearing Contacts of the ZN-Type Worm Gear Set Cut by Oversize Hob Cutters,” Tenth World Congress on the Theory of Machines and Mechanisms, Oulu, Proceedings, pp. 2270–2275.
Greening, J. H. Barlow, R. J., and Loveless, W. G., 1980, “Load Sharing on the Teeth of Double Enveloping Worm Gear,” II International Power Transmission and Gearing Conference, San Francisco, Paper No. 80-C2/DET-43.
Simon,  V., 1993, “Load Distribution in Double Enveloping Worm Gears,” ASME J. Mech. Des., 115, pp. 496–501.
Simon, V., (1998), “Characteristics of a New Type of Cylindrical Worm Gear Drive,” Proceedings of the 7th International Power Transmission and Gearing Conference, San Diego, 1996, pp. 703–708, ASME J. Mech. Des., 120, pp. 139–146.
Elkholy,  A. H., 1985, “Tooth Load Sharing in High-Contact Ratio Spur Gears,” Transm. Autom. Des., 107, pp. 11–16.
Kubo, A., 1981, “Estimation of Gear Performance,” International Symposium on Gearing and Power Transmissions, Tokyo, Proceedings, Vol. II, pp. 201–206.
Kurokawa, S., Ariura, Y., and Nakanishi, 1991, “Tooth Gearing Analysis of Cylindrical Gears,” JSME International Conference on Motion and Power Transmissions, Hiroshima, Proceedings, pp. 258–263.
Tobe, T., and Inoue, K., 1980, “Longitudinal Load Distribution Factor for Straddle- and Overhang-Mounted Spur Gears,” II International Power Transmission and Gearing Conference, San Francisco, Paper No. 80-C2/DET-45.
Steele, T. W., 1986, “Tooth Load Distribution on Large Marine Gears,” 2nd World Congress on Gearing, Paris, Proceedings, pp. 723–731.
Simon,  V., 1988, “Load and Stress Distribution in Spur and Helical Gears,” Transm. Autom. Des., 110, pp. 197–202.
Simon,  V., 1989, “Optimal Tooth Modifications for Spur and Helical Gears,” Transm. Autom. Des., 111, pp. 611–615.
Bibel, G. D., and Handschuh, R., 1996, “Meshing of a Spiral Bevel Gearset with 3D Finite Element Analysis,” 7th International Power Transmission and Gearing Conference, San Diego, Proceedings, pp. 703–708.
Chen, J. S., Litvin, F. L., and Shabana, A. A., 1994, “Computerized Simulation of Meshing and Contact of Loaded Gear Drives,” International Gearing Conference, Newcastle upon Tyne, Proceedings, pp. 161–166.
Gosselin, C., Gingras, D., Brousseau, J., and Gakwaya, A., 1994, “A Review of the Current Contact Stress and Deformation Formulations Compared to Finite Element Analysis,” Proceedings of the International Gearing Conference, Newcastle upon Tyne, pp. 155–160.
Simon, V., 1999, “The Influence of Misalignments on Load Distribution in Hypoid Gears,” Proceedings, 4th World Congress on Gearing and Power Transmission, Paris, pp. 637–649.
Simon,  V., 1994, “A New Worm Gear Drive with Ground Double Arc Profile,” Mech. Mach. Theory, 29, pp. 407–414.
Litvin, F. L., 1972, Theory of Gear Mesh, Mu⁁szaki Könyvkiadó, Budapest (in Hungarian).
Litvin, F. L., 1994, Gear Geometry and Applied Theory, Prentice Hall, Englewood Cliffs, NJ.
Simon, V., 1995, “Tooth Contact Analysis of Mismatched Worm Gears,” Ninth World Congress on the Theory of Machines and Mechanisms, Milano, Proceedings, pp. 530–534.
Simon,  V., 1996, “Stress Analysis in Worm Gears with Ground Concave Worm Profile,” Mech. Mach. Theory, 31, pp. 1121–1130.
Simon,  V., 1996, “Displacements in Worm Gears with Ground Concave Worm Profile,” Mech. Mach. Theory, 31, pp. 1131–1140.
Cornell,  R. W., 1981, “Compliance and Stress Sensitivity of Spur Gear Teeth,” ASME J. Mech. Des., 103, pp. 447–459.

Figures

Grahic Jump Location
The position of the loaded point on the worm thread
Grahic Jump Location
The position of the loaded point on the gear tooth  
Grahic Jump Location
Load and tooth contact pressure distributions along the instantaneous contact areas in a fully conjugated worm gear
Grahic Jump Location
Load and tooth contact pressure distributions in a worm gear with modified tooth surface geometry
Grahic Jump Location
Maximum tooth contact pressure in different types of worm gears
Grahic Jump Location
Load distribution factor for different types of worm gears
Grahic Jump Location
Variation of maximum tooth contact pressures through a mesh cycle for fully conjugated and mismatched worm gears
Grahic Jump Location
The influence of the amount of hob oversize on maximum tooth contact pressures and load distribution factor
Grahic Jump Location
The influence of transmitted torque on maximum tooth contact pressures and load distribution factor
Grahic Jump Location
The influence of hob oversize on the length of the contact area
Grahic Jump Location
The influence of hob oversize on the width of the contact area
Grahic Jump Location
The influence of hob oversize on gear’s angular displacement

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