A load distribution model for hypoid gears using ease-off topography and shell theory

Mechanism and Machine Theory

Volumn 44, Issue 10, 2009, Pages 1848-1865

  Kolivand, M ^a   Kahraman, A ^a  

^a OHIO STATE UNIVERSITY   (United States)

Author keywords

Ease off topography; Hypoid gears; Loaded tooth contact analysis; Transmission error

Indexed keywords

COMPUTATIONAL EFFORT; COMPUTATIONALLY EFFICIENT; CONTACT DEFORMATION; CONTACT PATTERN; DESIGN OPTIMIZATION; EASE-OFF TOPOGRAPHY; EQUILIBRIUM CONDITIONS; FINITE ELEMENTS; GEAR MESHES; HYPOID GEARS; LOAD DISTRIBUTIONS; LOADED TOOTH CONTACT ANALYSIS; MACHINE SETTINGS; MISALIGNMENT CONDITIONS; NOVEL METHODOLOGY; PARAMETER SENSITIVITIES; RAYLEIGH; ROLL ANGLE; SEMI-ANALYTICAL; SHEAR EFFECT; SHELL MODELS; SHELL THEORY; TOOTH COMPLIANCE; TOOTH CONTACT ANALYSIS; TOOTH SURFACE; TRANSMISSION ERROR;

DENTISTRY; ENGINEERING GEOLOGY; EXPOSURE CONTROLS; GEAR TEETH;

BEVEL GEARS;

EID: 67650034852     PISSN: 0094114X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechmachtheory.2009.03.009     Document Type: Article

References (47)

1. Stadtfeld H.J. Handbook of Bevel and Hypoid Gears (1993), Rochester Institute of Technology
2. Stewart A.A., and Wildhaber E. Design, Production and Application of the Hypoid Rear-Axle Gear. J. SAE 18 (1926) 575-580
3. Wildhaber E. Basic Relationship of Hypoid Gears (1946), McGraw-Hill
4. Wang X.C., and Ghosh S.K. Advanced Theories of Hypoid Gears (1994), Elsevier Science BV
5. Dooner D.B., and Seireg A. The Kinematic Geometry of Gearing: A Concurrent Engineering Approach (1995), John Wiley & Sons Inc
6. Coleman W. Design of Bevel Gears (1963), The Gleason Works
7. Fan Q. Enhanced algorithms of contact simulation for hypoid gear drives produced by face-milling and face-hobbing processes. ASME J. Mech. Des. 129 1 (2007) 31-37
8. T.J. Krenzer, The Bevel Gears, 2007, .
9. Litvin F.L., and Fuentes A. Gear Geometry and Applied Theory. second ed. (2004), Cambridge University Press, Cambridge
10. T.J. Krenzer, Face Milling or Face Hobbing, AGMA, Technical Paper No. 90FTM13, 1990.
11. M.L. Baxter, An application of kinematics and vector analysis to the design of a bevel gear grinder, ASME Mechanism Conference, Lafayette, IN, 1964.
12. T.J. Krenzer, TCA Formulas and Calculation procedures, Technical Report, The Gleason Works, 1965.
13. T.J. Krenzer, Tooth contact analysis of spiral bevel and hypoid gears under load, Earthmoving Industry Conference, Peoria, IL, SAE 810688, 1981.
14. Litvin F.L., and Gutman Y. Methods of synthesis and analysis for hypoid gear-drives of formate and helixform; Part I-Calculation for machine setting for member gear manufacture of the formate and helixform hypoid gears. ASME J. Mech. Des. 103 (1981) 83-88
15. Litvin F.L., and Gutman Y. Methods of synthesis and analysis for hypoid gear-drives of formate and helixform; Part II-Machine setting calculations for the pinions of formate and helixform gears. ASME J. Mech. Des. 103 (1981) 89-101
16. Litvin F.L., and Gutman Y. Methods of synthesis and analysis for hypoid gear-drives of formate and helixform; Part III-Analysis and optimal synthesis methods for mismatched gearing and its application for hypoid gears of formate and helixform. ASME J. Mech. Des. 103 (1981) 102-113
17. Litvin F.L., and Gutman Y. A method of local synthesis of gears grounded on the connections between the principal and geodetic of surfaces. ASME J. Mech. Des. 103 (1981) 114-125
18. Stadtfeld H.J., and Uwe G. The ultimate motion graph. ASME J. Mech. Des. 122 3 (2000) 317-322
19. Fan Q. Computerized modeling and simulation of spiral bevel and hypoid gears manufactured by gleason face hobbing process. ASME J. Mech. Des. 128 6 (2006) 1315-1327
20. O. Vogel, Gear-tooth-flank and gear-tooth-contact analysis for hypoid gears, Ph.D. Dissertation, Technical University of Dresden, Germany, 2006.
21. Vogel O., Griewank A., and Bär G. Direct gear tooth contact analysis for hypoid bevel gears. Computer Methods in Applied Mechanics and Engineering 191 36 (2002) 3965-3982
22. Simon V. Load distribution in hypoid gears. ASME J. Mech. Des. 122 44 (2000) 529-535
23. Simon V. FEM stress analysis in hypoid gears. J. Mech Machine Theory 35 9 (2000) 1197-1220
24. Simon V. Optimal machine tool setting for hypoid gears improving load distribution. ASME J. Mech. Des. 123 4 (2001) 577-582
25. Gosselin C., Cloutier L., and Nguyen Q.D. A general formulation for the calculation of the load sharing and transmission error under load of spiral bevel and hypoid gears. J. Mech. Machine Theory 30 3 (1995) 433-450
26. L.E. Wilcox, T.D. Chimner, G.C. Nowell, Improved finite element model for calculating stresses in bevel and hypoid gear teeth, AGMA, Technical Paper No. 97FTM05, 1997.
27. Q. Fan, L. Wilcox, New developments in tooth contact analysis (TCA) and loaded TCA for spiral bevel and hypoid gear drives, AGMA, Technical Paper No. 05FTM08, 2005.
28. M. Vimercati, A. Piazza, Computerized design of face hobbed hypoid gears: tooth surfaces generation, contact analysis and stress calculation, AGMA Fall Technical Meeting, Paper No. 05FTM05, 2005.
29. Calyx Hypoid Gear Model, User Manual, Advanced Numerical Solution Inc., Hilliard, Ohio, 2003.
30. Vijayakar S.M. A combined surface integral and finite element solution for a three-dimensional contact problem. Int. J. Numer. Methods Eng. 31 (1991) 525-545
31. Timoshenko S.P., and Woinowsky-Krieger S. Theory of Plates and Shells (1959), McGraw-Hill Book Company Inc
32. D. Yakubek, H.R. Busby, D.R. Houser, Three-dimensional deflection analysis of gear teeth using both finite element analysis and a tapered plate approximation, AGMA Fall Technical Meeting, Paper No. 85FTM4, 1985.
33. H. Yau, H.R. Busby, D.R. Houser, A Rayleigh-Ritz approach for modeling the bending and shear deflections of gear teeth, JSME International Conference on Motion and Power Transmission, November 23-26, Hiroshima, Japan, 1991.
34. Yau H., Busby H.R., and Houser D.R. A Rayleigh-Ritz approach to modeling bending and shear deflections of gear teeth. J. Comput. Struct. 50 5 (1994) 705-713
35. Stegmiller M.E., and Houser D.R. A three dimensional analysis of the base flexibility of gear teeth. ASME J. Mech. Des. 115 1 (1993) 186-192
36. S. Vaidyanathan, D.R. Houser, H.R. Busby, A Rayleigh-Ritz approach to determine compliance and root stresses in spiral bevel gears using shell theory, AGMA, Technical Paper No. 93FTM03, 1993.
37. Vaidyanathan S., Houser D.R., and Busby H.R. A numerical approach to the static analysis of an annular sector mindlin plate with applications to bevel gear design. J. Comput. Struct. 51 3 (1994) 255-266
38. M.L. Baxter, G.M. Spear, Effects of misalignment on tooth action of bevel and hypoid gears, ASME Design Conference, Detroit, MI, 1961.
39. Y. Zhang, Z. Wu, Geometry of tooth profile and fillet of face-hobbed spiral bevel gears, IDETC/CIE 2007, Las Vegas, Nevada, USA.
40. D. Vecchiato, Design and simulation of face-hobbed gears and tooth contact analysis by boundary element method, Ph.D. Dissertation, University of Illinois at Chicago, 2005.
41. Shtipelman B.A. Design and Manufacture of Hypoid Gears (1979), John Wiley & Sons, Inc
42. Weber C. The Deformation of Loaded Gears and the Effect on Their Load Carrying Capacity (Part I) (1949), D.S.I.R., London
43. Mindlin R.D. Influence of rotary inertia and shear on flexural motions of isotropic elastic plates. J. Appl. Mech. 18 (1951) 31-38
44. Conry T.F., and Seireg A. A mathematical programming technique for the evaluation of load distribution and optimal modifications for gear systems. ASME J. Eng. Ind. 95 (1973) 1115-1122
45. Xu H., and Kahraman A. Prediction of friction power losses of hypoid gear pairs. Proc. IMechE, Part K: J. Multi-Body Dynamics 221 3 (2007) 387-400
46. Park D., and Kahraman A. A surface wear model for hypoid gears. Wear (2008) in review.
47. Artoni A., Bracci A., Gabiccini M., and Guiggiani M. Optimization of the loaded contact pattern in hypoid gears by automatic topography modification. ASME J. Mech. Des. 131 1 (2009) 011008