Kinematic and geometric models of gear drives

Journal of Mechanical Design, Transactions of the ASME

Volumn 118, Issue 4, 1996, Pages 544-550

  Litvin, F L ^a   Seol, I H ^a   Kim, D ^a   Lu, J ^a   Wang, A G ^a   Egeija, A ^a   Zhao, X ^a   Handschuh, R F ^b  

^a University of Illinois at Chicago   (United States)

^b NASA GLENN RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ALIGNMENT; BEARINGS (MACHINE PARTS); COMPUTER SIMULATION; FINITE ELEMENT METHOD; GEAR TEETH; GEOMETRY; KINEMATICS; MATHEMATICAL MODELS; WORM GEARS;

BEARING CONTACT; GEAR MISALIGNMENT; LOAD TOOTH CONTACT ANALYSIS (LTCA); TRANSMISSION ERRORS;

TRANSMISSIONS;

EID: 0030402656     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2826926     Document Type: Article

References (16)

1. Dongana, J. J., Buncli, J. R., Moler, C. B., and Steward, G. W., 1979, UNPACK User's Guide, SIAM, Philadelphia.
2. Gleason Works, 1981, “Understanding Tooth Contact Analysis,” Publication No. 5D3139, Rochester, NY.
3. Kom, G. A., and Korn, T. M., 1968, Mathematics Handbook for Scientists and Engineers, 2nd ed., McGraw-Hill, NY.
4. Krenzer, Theodore J., 1981a, “Tooth Contact Analysis of Spiral Bevel and Hypoid Gears under Load,” S.A.E. Earthmoving Industry Conference, Peoria, IL.
5. Krenzer, y., Theodore, J., 1981b, “Tooth Contact Analysis of Spiral Bevel and Hypoid Gears under Load,” Gleason PubUcation SD3458, New York.
6. Lewicki, D. G., Handschuh, R. P., Henry, Z. S., and Litvin, F. L., 1994, “Low-Noise, High-Strength, Spiral-Bevel Gears for Helicopter Transmissions,” Journal of Propulsion and Power, Vol. 10, pp. 356-361.
7. Litvin, F. L., 1969, “Die Beziehungen Zwischen den KrUmmungen der Zahnoberflachen bei Raumlichen Verzahnungen,” Zeilschriftfur Angewandte Mathematik und Mechanik, Vol. 49, pp. 685-690 (in German).
8. Litvin, F. L., and Gutman, Y., 1981, “Methods of Synthesis and Analysis for Hypoid Gear Drives of Formate and Helixform, Part 1-3,” ASME JOURNAL OF MECHANICAL DESIGN, Vol. 103, pp. 83-113.
9. Litvin, F. L., 1989, Theory of Gearing, Nauka, Moscow, NASA Lewis Research Center, Cleveland, OH.
10. Litvin, F. L., 1994, Gear Geometry and Applied Theory. Prentice Hall, Englewood Cliffs, NJ.
11. Litvin, F. L., Chen, N. X., Lu, J., and Handschuh, R. F., 1995a, “Computerized Design and Generation of Low-Noise Helical Gears with Modified Surface Topology,” ASME JOURNAL OF MECHANICAL DESIGN, Vol. 117, pp. 254-261.
12. Litvin, F. L., Chen, N. X., and Chen, J.-S., 1995b, “Computerized Determination of Curvature Relations and Contact Ellipse for Conjugate Surfaces,” Journal of Computer Methods in Applied Mechanics and Engineering, V 125, Nl-4, pp. 151-170.
13. Litvin, F. L., 1995c, “Apphed Theory of Gearing; State-of-the-Art,” ASME JOURNAL OF MECHANICAL DESIGN, in press.
14. Wilcox, L., and Coleman, W., 1972, “Application of Finite Elements to the Analysis of Gear Tooth Stresses,” ASME Paper 92-PIG-30, San Fransisco, CA.
15. Wilcox, L., and Coleman, W., 1973, “Application of Finite Elements to the Analysis of Gear Tooth Stresses,” ASME Journal of Engineering for Industry, Vol. 95, pp. 1139-1148.
16. Wilcox, Lowell E., 1981, “An Exact Analytical Method for Calculating Stresses in Bevel and Hypoid Gear Teeth,” JSME Conference, Tokyo, Japan.