A frequency domain finite element approach for three-dimensional gear dynamics

Journal of Vibration and Acoustics

Volumn 133, Issue 4, 2011, Pages

  Cooley, Christopher G ^a   Parker, Robert G ^a,b   Vijayakar, Sandeep M ^c  

^a OHIO STATE UNIVERSITY   (United States)

^b SHANGHAI JIAO TONG UNIVERSITY   (China)

^c Advanced Numerical Solutions   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; FREQUENCY DOMAIN ANALYSIS; ROLLER BEARINGS; TIME DOMAIN ANALYSIS; VIBRATIONS (MECHANICAL);

DOMAIN SOLUTION; DYNAMICS MODELS; FINITE ELEMENT FORMULATIONS; FINITE-ELEMENT APPROACH; FREQUENCY DOMAINS; GEAR DYNAMICS; GEAR PAIRS; LUMPED-PARAMETER; STATIC SOLUTIONS; VIBRATION MODELING;

DYNAMIC RESPONSE;

EID: 79955620228     PISSN: 10489002     EISSN: 15288927     Source Type: Journal    
DOI: 10.1115/1.4003399     Document Type: Article

References (26)

1. Özgüven, H. N., and Houser, D. R., 1988, "Mathematical Models Used in Gear Dynamics - A Review," J. Sound Vib., 121(3), pp. 383-411. (Pubitemid 18603605)
2. Wang, J., Li, R., and Peng, X., 2003, "Survey of Nonlinear Vibration of Gear Transmission Systems," Appl. Mech. Rev., 56(3), pp. 309-329. (Pubitemid 40205919)
3. Velex, P., and Maatar, M., 1996, "A Mathematical Model for Analyzing the Influence of Shape Deviations and Mounting Errors on Gear Dynamic Behaviour," J. Sound Vib., 191(5), pp. 629-660. (Pubitemid 126368450)
4. Blankenship, G. W., and Singh, R., 1992, "A Comparative Study of Selected Gear Mesh Interface Dynamic Models," ASME Sixth Power Transmission and Gearing Conference, Phoenix, AZ, pp. 137-146. (Pubitemid 23592492)
5. Blankenship, G. W., and Singh, R., 1995, "A New Gear Mesh Interface Dynamic Model to Predict Multi-Dimensional Force Coupling and Excitation,"Mech. Mach. Theory, 30(1), pp. 43-57.
6. Blankenship, G. W., and Singh, R., 1995, "Dynamic Force Transmissibility in Helical Gear Pairs," Mech. Mach. Theory, 30(3), pp. 323-339.
7. Kahraman, A., 1993, "Effect of Axial Vibrations on the Dynamics of a Helical Gear Pair," ASME J. Vibr. Acoust., 115(1), pp. 33-39. (Pubitemid 23609963)
8. Matsumura, S., Umezawa, K., and Houjoh, H., 1996, "Rotational Vibration of a Helical Gear Pair Having Tooth Surface Deviation During Transmission of Light Load," JSME Int. J., Ser. C, 39(3), pp. 614-620.
9. Andersson, A., and Vedmar, L., 2003, "A Dynamic Model to Determine Vibrations in Involute Helical Gears," J. Sound Vib., 260(2), pp. 195-212.
10. Baud, S., and Velex, P., 2002, "Static and Dynamic Tooth Loading in Spur and Helical Geared Systems-Experiments and Model Validation," ASME J. Mech. Des., 124(2), pp. 334-346. (Pubitemid 35202484)
11. Ajmi, M., and Velex, P., 2005, "A Model for Simulating the Quasi-Static and Dynamic Behaviour of Solid Wide-Faced Spur and Helical Gears," Mech. Mach. Theory, 40(2), pp. 173-190. (Pubitemid 40061223)
12. Eritenel, T., and Parker, R. G., 2009, "Computational Nonlinear Vibration Analysis of Gear Pairs Using a Three-Dimensional Model," ASME Power Transmission and Gearing Conference, San Diego, CA.
13. Kahraman, A., and Blankenship, G. W., 1996, "Gear Dynamics Experiments: Part-II: Effect of Involute Contact Ratio," ASME Power Transmission and Gearing Conference, San Diego, CA.
14. Parker, R. G., Agashe, V., and Vijayakar, S. M., 2000, "Dynamic Response of a Planetary Gear System Using a Finite Element/Contact Mechanics Model," ASME J. Mech. Des., 122(3), pp. 304-310.
15. Parker, R. G., Vijayakar, S. M., and Imajo, T., 2000, "Non-Linear Dynamic Response of a Spur Gear Pair: Modelling and Experimental Comparisons," J. Sound Vib., 237(3), pp. 435-455.
16. 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. (Pubitemid 46736077)
17. Ambarisha, V. K., and Parker, R. G., 2007, "Nonlinear Dynamics of Planetary Gears Using Analytical and Finite Element Models," J. Sound Vib., 302(3), pp. 577-595.
18. Liu, G., and Parker, R. G., 2008, "Dynamic Modeling and Analysis of Tooth Profile Modification for Multimesh Gear Vibration," ASME J. Mech. Des., 130(12), p. 121402.
19. Singh, A., 2007, "Influence of Planetary Needle Bearings on the Performance of Single and Double Pinion Planetary Systems," ASME J. Mech. Des., 129(1), pp. 85-94. (Pubitemid 46736078)
20. Vijayakar, S., 1991, "A Combined Surface Integral and Finite Element Solution for a Three-Dimensional Contact Problem," Int. J. Numer. Methods Eng., 31(3), pp. 525-545.
21. Vijayakar, S. M., Busby, H. R., and Houser, D. R., 1988, "Linearization of Multibody Frictional Contact Problems," Comput. Struct., 29(4), pp. 569-576.
22. Vijayakar, S., Busby, H., and Wilcox, L., 1989, "Finite Element Analysis of Three-Dimensional Conformal Contact With Friction," Comput. Struct.,33(1), pp. 49-61. (Pubitemid 20612451)
23. Gregory, R. W., Harris, S. L., and Munro, R. G., 1963, "Dynamic Behavior of Spur Gears," Proc. Inst. Mech. Eng., 178(1), pp. 207-226.
24. Lin, H. H., Oswald, F. B., and Townsend, D. P., 1994, "Dynamic Loading of Spur Gears With Linear or Parabolic Tooth Profile Modifications," Mech. Mach. Theory, 29(8), pp. 1115-1129.
25. Özguven, H. N., and Houser, D. R., 1988, "Dynamic Analysis of High Speed Gears by Using Loaded Static Transmission Error," J. Sound Vib., 125(1), pp. 71-83.
26. Velex, P., and Ajmi, M., 2006, "On the Modelling of Excitations in Geared Systems by Transmission Errors," J. Sound Vib., 290(3-5), pp. 882-909. (Pubitemid 43006048)