Modelling of spur gear mesh stiffness and static transmission error

Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

Volumn 212, Issue 4, 1998, Pages 287-297

  Du, S ^a   Randall, R B ^a   Kelly, D W ^a  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

Finite element analysis; Gear modelling; Gear vibration; Nylon gear; Optimal iteration; Torsional vibration; Transmission error

Indexed keywords

COMPUTER AIDED ANALYSIS; COMPUTER SIMULATION; ERROR ANALYSIS; FINITE ELEMENT METHOD; GEAR TEETH; ITERATIVE METHODS; MATHEMATICAL MODELS; NYLON POLYMERS; SPUR GEARS; STIFFNESS; TORSIONAL STRESS; VIBRATIONS (MECHANICAL);

NYLON GEAR; TRANSMISSION ERROR;

TRANSMISSIONS;

EID: 0031654778     PISSN: 09544062     EISSN: None     Source Type: Journal    
DOI: 10.1243/0954406981521222     Document Type: Article

References (19)

1. Smith, J. D. Gears and Their Vibration, 1983 (Marcel Dekker, New York).
2. Errichello, R. State-of-art review: gear dynamics. Trans. ASME, J. Mech. Des., July 1979, 101(3), 368-372.
3. Ozguven, H. N. and Houser, D. R. Mathematical models used in gear dynamics - a review. J. Sound Vibr., 1988, 121, 383-411.
4. Harris, S. L. Dynamic load on the teeth of spur gears. Proc. Instn Mech. Engrs, 1958, 172, 87-112.
5. Mark, W. D. Analysis of the vibratory excitation of gear systems: basic theory. J. Acoust. Soc. Am., 1978, 63, 1409-1430.
6. Mark, W. D. Analysis of the vibratory excitation of gear systems, II: tooth error representations, approximations, and application. J. Acoust. Soc. Am., 1979, 66, 1758-1787.
7. Kohler, H. and Regan, R. The derivation of gear transmission error from pitch error records. Proc. Instn Mech. Engrs, Part C, Journal of Mechanical Engineering Science, 1985, 199(C3), 195-201.
8. Kubo, A., et al. Estimation of transmission error of cylindrical involute gears by tooth contact pattern. JSME Int. J., Ser. III, 1991, 34(2), 252-259.
9. Sweeney, P. J. Gear transmission error measurement and analysis. PhD dissertation, University of New South Wales, Australia, 1994.
10. Holl, D. L. Cantilever plate with concentrated edge load. J. Appl. Mechanics, 1937, 4, A-8-A-10.
11. Timoshenko, S. and Woinowsky-Krieger, S. Theory of Plates and Shells, 1959 (McGraw-Hill, New York).
12. Matusz, J. M., et al. Local flexibility coefficients for the built-in ends of beams and plates. Trans. ASME, J. Engng for Industry, August 1969, 607-614.
13. Oda, S., et al. Tooth deflection and bending moment of WN gear tooth due to concentrated load. JSME Int. J., Ser. C, 1993, 36(3), 386-392.
14. Coy, J. J. and Chao, C. H. A method of selecting grid size to account for Hertz deformation in finite element analysis of spur gears. Trans. ASME, J. Mech. Des., October 1982, 104, 759-766.
15. Gosselin, C., et al. A review of the current contact stress and deformation formulations compared to finite element analysis. In IMechE 1994 International Conference on Gearing, University of Newcastle, 1994, pp. 155-160.
16. Cornell, R. W. Compliance and stress sensitivity of spur gear teeth. J. Mech. Des., April 1981, 103, 447-459.
17. Johnson, K. L. Contact Mechanics, 1985 (Cambridge University Press).
18. MATHCAD (Windows Version 5.0), Mathsoft Inc., Cambridge, Massachusetts, 1994.
19. Siddall, J. N. Optimal Engineering Design - Principles and Applications, 1982 (Marcel Dekker, New York).