Fourth-order kinematic synthesis for face-milling spiral bevel gears with modified radial motion (MRM) correction

Journal of Mechanical Design

Volumn 128, Issue 2, 2006, Pages 457-467

  Wang, Pei Yu ^a   Fong, Zhang Hua ^a  

^a NATIONAL CHUNG CHENG UNIVERSITY   (Taiwan)

Author keywords

Fourth order motion curve; Spiral bevel gear

Indexed keywords

GEAR CUTTING MACHINES; GEAR TEETH; KINEMATICS; MATHEMATICAL MODELS; NUMERICAL CONTROL SYSTEMS; OPTIMIZATION;

COMPUTER NUMERICAL CONTROL HYPOID GENERATOR; CONTACT PATH; FOURTH-ORDER MOTION CURVE; MODIFIED RADIAL MOTION; PINION TOOTH SURFACE;

BEVEL GEARS;

EID: 33645942113     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2168466     Document Type: Article

References (29)

1. Gleason Works, 1991, "Multi-Axis Bevel and Hypoid Gear Generating Machine," U.S. Patent No. 4981402.
2. Gleason Works, 2002, "Machine and Method for Producing Bevel Gears," W.O. Patent No. 02066193.
3. Klingelnberg, 1995, "Generating Continuous Corrections Toothed Arc Bevel Gears," D.E. Patent No. 4443513.
4. Stadtfeld, H. J., 2000, Advanced Bevel Gear Technology, The Gleason Works, Rochester, New York.
5. Stadtfeld, H. J., and Gaiser, U., 2000, "The Ultimate Motion Graph," ASME J. Mech. Des., 122, pp. 317-322.
6. Litvin, F. L., 1960, Theory of Gearing, 1st ed. (Nauka, Moscow) (in Russian), 1968, 2nd ed. (Nauka, Moscow) (in Russian).
7. Litvin, F. L., and Gutman, Y., 1981, "Methods of Synthesis and Analysis for Hypoid Gear-Drives of 'Formate' and 'Helixform', Part 1, 2, and 3," ASME J. Mech. Des., 103(1), pp. 83-113.
8. Litvin, F. L., and Zhang, Y., 1991, Local Synthesis and Tooth Contact Analysis of Face-Milled Spiral Bevel Gears, NASA Technical Report 90-C-028, Washington, DC.
9. Litvin, F. L., 1989, Theory of Gearing, NASA RP-1212, Washington, DC.
10. Litvin, F. L., Zhang, Y., Lundy, M., and Heine, C., 1988, "Determination of Settings of a Tilted Head Cutter for Generation of Hypoid and Spiral Bevel Gears," ASME J. Mech., Transm., Autom. Des., 110, pp. 495-500.
11. Litvin, F. L., Kuan, C., Wang, J. C., Handschuh, R. F., Masseth, J., and Maruyama, N., 1993, "Minimization of Deviations of Gear Real Tooth Surfaces Determined by Coordinate Measurements," ASME J. Mech. Des., 115, pp. 995-1001.
12. Litvin, F. L., 1994, Gear Geometry and Applied Theory, Prentice Hall, Englewood Cliffs, NJ, pp. 631-632.
13. Litvin, F. L., Wang, A. G., and Handschuh, R. F., 1998, "Computerized Generation and Simulation of Meshing and Contact of Spiral Bevel Gears with Improved Geometry," Comput. Methods Appl. Mech. Eng., 158, pp. 35-64.
14. Argyris, J., Fuentes, A., and Litvin, F. L., 2002, "Computerized Integrated Approach for Design and Stress Analysis of Spiral Bevel Gears," Comput. Methods Appl. Mech. Eng., 191, pp. 1057-1095.
15. Litvin, F. L., Fuentes, A., Fan, Q., and Handschuh, R. F., 2002, "Computerized Design, Simulation of Meshing, and Contact and Stress Analysis of Face-Milled Formate Generated Spiral Bevel Gears," Mech. Mach. Theory, 37, pp. 441-459.
16. Fuentes, A., Litvin, F. L., Mullins, B. R., Woods, R., and Handschuh, R. F., 2002, "Design and Stress Analysis of Low-Noise Adjusted Bearing Contact Spiral Bevel Gears," ASME J. Mech. Des., 124(3), pp. 524-532.
17. Huston, R. L., and Coy, J. J., 1982, "Surafce Geometry of Circular-Cut Spiral Bevel Gears," ASME J. Mech. Des., 104(4), pp. 743-748.
18. Krenzer, T. J., 1984, "Computer Aided Corrective Machine Settings for Manufacturing Bevel and Hypoid Gears," AGMA Paper No. 84FTM4.
19. Gosselin, C. J., and Cloutier, L., 1993, "The Generating Space for Parabolic Motion Error of Spiral Bevel Gears Cut by the Gleason Method," ASME J. Mech. Des., 115(3), pp. 483-489.
20. Gosselin, C., Shiono, Y., Nonaka, T., and Kubo, A., 1996, "A Computer Based Approach Aimed at Reproducing Master Spiral Bevel and Hypoid Pinions and Gears," AGMA Paper No. 96FTM1.
21. Gosselin, C., Nonaka, T., Shiono, Y., Kubo, A., and Tatsuno, T., 1998, "Identification of the Machine Settings of Real Hypoid Gear Tooth Surfaces," ASME J. Mech. Des., 120, pp. 429-440.
22. Lin, C. Y., Tsay, C. B., and Fong, Z. H., 1998, "Computer-Aided Manufacturing of Spiral Bevel and Hypoid Gears with Minimum Surface Deviation," Mech. Mach. Theory, 33(6), pp. 785-803.
23. Davidov, Y., 1998, "General Idea of Generating Mechanism and its Application to Bevel Gears," Mech. Mach. Theory, 33(5), pp. 505-515.
24. Shunmugam, M. S., Rao, B. S., and Jayaprakash, V., 1998, "Establishing Gear Tooth Surface Geometry and Normal Deviation, Part II-Bevel Gears," Mech. Mach. Theory, 33(5), pp. 525-534.
25. Goldrich, R. N., 1989, "Theory of 6-axis CNC Generation of Spiral Bevel Gear and Hypoid Gears," AGMA Paper No. 89FTM9.
26. Fong, Z. H., 2000, "Mathematical Model of Universal Hypoid Generator with Supplemental Kinematic Flank Correction Motions," ASME J. Mech. Des., 122, pp. 136-141.
27. Lelkes, M., Màrialigeti, J., and Play, D. 2002, "Numerical Determination of Cutting Parameters for the Control of Klingelnberg Spiral Bevel Gear Geometry," ASME J. Mech. Des., 124(4), pp. 761-771.
28. Ernest Wildhaber, 1945, "Gear Tooth Curvature Treated Simply," Am. Mach., 89(18), pp. 122-125.
29. Baxter, M. L. Jr., 1961, "Basic Geometry and Tooth Contact of Hypoid Gears," Ind. Math., 2, pp. 1-28.