Contact stress analysis of skew conical involute gear drives in approximate line contact

Mechanism and Machine Theory

Volumn 44, Issue 9, 2009, Pages 1658-1676

  Wu, Szu Han ^a   Tsai, Shyi Jeng ^a  

^a NATIONAL CENTRAL UNIVERSITY   (Taiwan)

Author keywords

Approximate line contact; Conical gears; Loaded tooth contact analysis; Non Herzian contact; Tooth bending deflection; Tooth contact deformation

Indexed keywords

APPROXIMATE LINE CONTACT; CONICAL GEARS; LOADED TOOTH CONTACT ANALYSIS; NON-HERZIAN CONTACT; TOOTH BENDING DEFLECTION; TOOTH CONTACT DEFORMATION;

BENDING (DEFORMATION); BENDING (FORMING); MACHINE TOOL DRIVES; MACHINERY; STRESS ANALYSIS;

DENTISTRY;

EID: 67349091007     PISSN: 0094114X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechmachtheory.2009.01.010     Document Type: Article

References (28)

1. Beam A.S. Beveloid gearing. Machine Design 26 (1954) 220-238
2. Purkiss S.C. Conical involute gears. Machinery 89 (1956) 1413-1420 1456-1467
3. Mitome K. Conical involute gear. Part I: Design and production system; Part II: Design and production system of involute pinion-type cutter; Part III: Tooth action of a pair of gears. Bulletin of JSME 26 212 (1983) 299-305 28 (245) (1985) 306-312, 2757-2764
4. Mitome K. Conical involute gear (5th Report, Design of nonintersecting-nonparallel-axis conical involute gears). JSME International Journal, Series III 34 2 (1991) 265-270
5. Roth K., and Zahnradtechnik. Evolventen-Sonderverzahnung zur Getriebeverbesserung (1998), Springer-Verlag pp. 231-304
6. Brauer J. Analytical geometry of straight-toothed conical involute gears. Mechanism and Machine Theory 37 (2002) 127-141
7. Liu C.-C., and Tsay C.-B. Contact characteristics of beveloid gears. Mechanism and Machine Theory 37 (2002) 333-350
8. Bürkle B., Gandbhir S., and Joachim F.-J. Conical gears for power transmission. VDI-Berichte 1056 (1993) 95-110 (in German)
9. Börner J., Humm K., Joachim F., and Yakaria H. Application, design, and manufacturing of conical involute gears for power transmissions. VDI Berichte 1904 (2005) 125-144
10. K. Mitome, Concave conical gear (Basic theory of new tooth surface and design of a pair of gears), in: Proceedings of JSME International Conference on Motion and Power Transmissions, Hiroshima, 1991, pp. 601-606.
11. H. Komatsubara, K. Mitome, T. Ohmachi, Development of concave conical gear used for marine transmissions. 1st Report: Trans. of JSME Ser. C 65 (638) (1999) 4179-4184; 2nd Report: Trans. of JSME Ser. C 66 (645) (2000) 1652-1659. English version: 1st Report, JSME International Journal Ser. C 45 (1) (2002) 371-377.
12. Li G., Wen J., Zhang X., and Liu Y. Meshing theory and simulation of noninvolute beveloid gears. Mechanism and Machine Theory 39 (2004) 883-892
13. Tsai S.-J. Unified System of Involute Gears - Design of Cylindrical Gears, Conical Gears, Face Gears and Toroid Gears (1997), TU Braunschweig, Germany (in German)
14. S.-H. Wu, S.-J. Tsai, Geometrical design of skew conical involute gear drives in approximate line contact, submitted for publication.
15. S.-J. Tsai, S.-H. Wu, Geometrical design of conical gear drives with profile-shifted transmission, in: 12th IFToMM World Congress, 2007.
16. Litvin F.L. Theory of Gearing (1989), NASA Publication RP-1212, Washington, DC
17. Litvin F.L. Gear Geometry and Applied Theory (1994), Prentice-Hall, Englewood Cliffs, NJ
18. Hartnett M.J. Analysis of contact stresses in rolling element bearings. Journal of Lubrication Technology, Transactions ASME 101 1 (1979) 105-109
19. Hartnett M.J. General numerical solution for elastic body contact problems. American Society of Mechanical Engineers, Applied Mechanics Division, AMD 39 (1980) 51-66
20. Ahmadi N., Keer L.M., and Mura T. Non-Hertzian contact stress analysis for an elastic half space - normal and sliding contact. International Journal of Solids and Structures 19 4 (1983) 357-373
21. Linke H. Stirnradverzahnung (1996), Hanser, Munich pp. 244-253
22. ISO 6336, Calculation of Load Capacity of Spur and Helical Gears. Part 1: Basic Principles, Introduction and General Influence Factors, 1996, pp. 85-86.
23. Fischer I.S. Dual-Number Methods in Kinematics, Statics and Dynamics (1999), CRC Press pp. 1-40, 91-120
24. Phillips J. General Involute Gearing (2004), Springer-Verlag
25. Gavrilenko V.A., and Bezrukov V.I. Geometrical design of gear transmissions comprising involute bevel gears. Russian Engineering Journal (English translation of Vestnik Mashinostroeniya) 56 9 (1976) 34-38
26. Press W.H., Teukolsky S.A., et al. Numerical Recipes: The Art of Scientific Computing. third ed. (2007), Cambridge University Press, Cambridge, UK
27. Filonenko-Borodich. Theory of Elasticity (1965), Dover Publications, NY
28. Wellauer E.J., and Seireg A. Bending strength of gear teeth by cantilever-plate theory. Journal of Engineering for Industry, Transactions on ASME 82 (1960) 213-222