Dynamic transmission error prediction of helical gear pair under sliding friction using floquet theory

Journal of Mechanical Design

Volumn 130, Issue 5, 2008, Pages

  He, Song ^a   Singh, Rajendra ^a  

^a The Ohio State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); DESIGN; ERRORS; FRICTION; MESH GENERATION; SPUR GEARS; STIFFNESS; TRIBOLOGY;

CONTACT LINES; DYNAMIC TRANSMISSION ERRORS; ERROR PREDICTION; FLOQUET THEORY; GEAR PAIRS; MESH STIFFNESS; PIECEWISE STIFFNESS; SINGLE DEGREE OF FREEDOM MODELS; SLIDING FRICTION; STIFFNESS FUNCTION;

HELICAL GEARS;

EID: 45149129952     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2890115     Document Type: Article

References (19)

1. He, S., Gunda, R., and Singh, R., 2007, "Inclusion of Sliding Friction in Contact Dynamics Model for Helical Gears," ASME J. Mech. Des., 129, pp. 48-57.
2. Velex, P., and Cahouet, V., 2000, "Experimental and Numerical Investigations on the Influence of Tooth Friction in Spur and Helical Gear Dynamics," ASME J. Mech. Des., 122(4), pp. 515-522.
3. Velex, P., and Sainsot, P., 2002, "An Analytical Study of Tooth Friction Excitations in Spur and Helical Gears," Mech. Mach. Theory, 37, pp. 641-658.
4. Lundvall, O., Strömberg, N., and Klarbring, A., 2004, "A Flexible Multi-Body Approach for Frictional Contact in Spur Gears," J. Sound Vib., 278(3), pp. 479-499.
5. Vaishya, M., and Singh, R., 2003, "Strategies for Modeling Friction in Gear Dynamics," ASME J. Mech. Des., 125, pp. 383-393.
6. Vaishya, M., and Singh, R., 2001, "Analysis of Periodically Varying Gear Mesh Systems With Coulomb Friction Using Floquet Theory," J. Sound Vib., 243(3), pp. 525-545.
7. Vaishya, M., and Singh, R., 2001, "Sliding Friction-Induced Non-Linearity and Parametric Effects in Gear Dynamics," J. Sound Vib., 248(4), pp. 671-694.
8. He, S., Gunda, R., and Singh, R., 2007, "Effect of Sliding Friction on the Dynamics of Spur Gear Pair With Realistic Time-Varying Stiffness," J. Sound Vib., 301, pp. 927-949.
9. Borner, J., and Houser, D. R., 1996, "Friction and Bending Moments as Gear Noise Excitations," SAE Trans., 105(6), pp. 1669-1676.
10. Padmanabhan, C., Barlow, R. C., Rook, T. E., and Singh, R., 1995, "Computational Issues Associated With Gear Rattle Analysis," ASME J. Mech. Des., 117, pp. 185-192.
11. Xiao, D. Z., Gao, Y., Wang, Z. Q., and Liu, D. M., 2005, "Conjugation Criterion for Making Clearance of the Meshed Helical Surfaces," ASME J. Mech. Des., 127(1), pp. 164-168.
12. 2003, Helical3D (CALYX software), "Helical3D User's Manual," ANSOL Inc., Hilliard, OH (www.ansol.www).
13. Tamminana, V. K., Kahraman, A., and Vijayakar, S., 2007, "A Study of the Relationship Between the Dynamic Factors and the Dynamic Transmission Error of Spur Gear Pairs," ASME J. Mech. Des., 129(1), pp. 75-84.
14. Abousleiman, V., Velex, P., and Becquerelle, S., 2007, "Modeling of Spur and Helical Gear Planetary Drives With Flexible Ring Gears and Planet Carriers," ASME J. Mech. Des., 129(1), pp. 95-106.
15. Guilbault, R., Gosselin, C., and Cloutier, L., 2005, "Express Model for Load Sharing and Stress Analysis in Helical Gears," ASME J. Mech. Des., 127(6), pp. 1161-1172.
16. Richards, J. A., 1983, Analysis of Periodically Time-Varying Systems, Springer, New York.
17. Cartwright, J. H. E., and Piro, O., 1992, "The Dynamics of Runge-Kutta Methods," Int. J. Bifurcation Chaos Appl. Sci Eng., 2, pp. 427-449.
18. Gray, A., and Mathews, G. B., 1966. A Treatise on Bessel Functions and Their Applications to Physics, Dover, New York.
19. Den Hartog, J. P., 1956, Mechanical Vibrations, Dover, New York.