Vibration properties of high-speed planetary gears with gyroscopic effects

Journal of Vibration and Acoustics

Volumn 134, Issue 6, 2012, Pages

  Cooley, Christopher G ^a   Parker, Robert G ^a,b  

^a OHIO STATE UNIVERSITY   (United States)

^b SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

DESIGN; EIGENVALUES AND EIGENFUNCTIONS; EPICYCLIC GEARS; VIBRATIONS (MECHANICAL);

CLASSIFIEDS; COMPLEX SPEED; COMPLEX-VALUED; GYROSCOPIC EFFECTS; HIGH SPEED; MODAL PROPERTIES; PLANETARY GEARS; ROTATIONAL MODES; VIBRATION MODES; VIBRATION PROPERTIES;

SPEED;

EID: 84872804496     PISSN: 10489002     EISSN: 15288927     Source Type: Journal    
DOI: 10.1115/1.4006646     Document Type: Article

References (31)

1. Cunliffe, F., Smith, J. D., and Welbourn, D. B., 1974, "Dynamic Tooth Loads in Epicyclic Gears," J. Eng. Ind., 96(2), pp. 578-584.
2. Botman, M., 1976, "Epicyclic Gear Vibrations," J. Eng. Ind., 98(3), pp. 811-815.
3. Kahraman, A., 1994, "Planetary Gear Train Dynamics," J. Mech. Des., 116(3), pp. 713-720.
4. Kahraman, A., 1994, "Natural Modes of Planetary Gear Trains," J. Sound Vib., 173(1), pp. 125-130.
5. Saada, A., and Velex, P., 1995, "An Extended Model for the Analysis of the Dynamic Behavior of Planetary Trains," J. Mech. Des., 117(2), pp. 241-247.
6. Lin, J., and Parker, R. G., 1999, "Analytical Characterization of the Unique Properties of Planetary Gear Free Vibration," J. Vib. Acoust., 121(3), pp. 316-321.
7. Lin, J., and Parker, R. G., 2000, "Structured Vibration Characteristics of Planetary Gears With Unequally Spaced Planets," J. Sound Vib., 233(5), pp. 921-928.
8. Lin, J., and Parker, R. G., 1999, "Sensitivity of Planetary Gear Natural Frequencies and Vibration Modes to Model Parameters," J. Sound Vib., 228(1), pp. 109-128. (Pubitemid 129533144)
9. Lin, J., and Parker, R. G., 2001, "Natural Frequency Veering in Planetary Gears," Mech. Struct. Mach., 29(4), pp. 411-429. (Pubitemid 34055516)
10. Lin, J., and Parker, R. G., 2002, "Planetary Gear Parametric Instability Caused by Mesh Stiffness Variation," J. Sound Vib., 249(1), pp. 129-145. (Pubitemid 34090263)
11. Kiracofe, D. R., and Parker, R. G., 2007, "Structured Vibration Modes of General Compound Planetary Gear Systems," J. Vib. Acoust., 129(1), pp. 1-16. (Pubitemid 46736040)
12. Wu, X., and Parker, R. G., 2008, "Modal Properties of Planetary Gears With an Elastic Continuum Ring Gear," J. Appl. Mech., 75(3), p. 031014.
13. Parker, R., and Wu, X., 2010, "Vibration Modes of Planetary Gears With Unequally Spaced Planets and an Elastic Ring Gear," J. Sound Vib., 329(11), pp. 2265-2275.
14. Eritenel, T., and Parker, R. G., 2009, "Modal Properties of Three-Dimensional Helical Planetary Gears," J. Sound Vib., 325(1-2), pp. 397-420.
15. Guo, Y., and Parker, R., 2010, "Purely Rotational Model and Vibration Modes of Compound Planetary Gears," Mech. Mach. Theor., 45(3), pp. 365-377.
16. Kahraman, A., 2001, "Free Torsional Vibration Characteristics of Compound Planetary Gear Sets," Mech. Mach. Theor., 36(8), pp. 953-971. (Pubitemid 32776143)
17. Bahk, C.-J., and Parker, R. G., 2011, "Analytical Solution for the Nonlinear Dynamics of Planetary Gears," J. Comput. Nonlinear Dyn., 6(2), p. 021007.
18. Abousleiman, V., Velex, P., and Becquerelle, S., 2007, "Modeling of Spur and Helical Gear Planetary Drives With Flexible Ring Gears and Planet Carriers," J. Mech. Des., 129(1), pp. 95-106. (Pubitemid 46736079)
19. Meirovitch, L., 1974, "A New Method of Solution of the Eigenvalue Problem for Gyroscopic Systems," AIAA J., 12(10), pp. 1337-1342.
20. Meirovitch, L., 1975, "A Modal Analysis for the Response of Linear Gyroscopic Systems," J. Appl. Mech., 42(2), pp. 446-450.
21. D'Eleuterio, G., and Hughes, P., 1984, "Dynamics of Gyroelastic Continua," J. Appl. Mech., 51(2), pp. 415-422.
22. Ambarisha, V. K., and Parker, R. G., 2006, "Suppression of Planet Mode Response in Planetary Gear Dynamics Through Mesh Phasing," J. Vib. Acoust., 128(2), pp. 133-142.
23. Han, R. P. S., and Zu, J. W.-Z., 1992, "Modal Analysis of Rotating Shafts: A Body-Fixed Axis Formulation Approach," J. Sound Vib., 156(1), pp. 1-16.
24. Tobias, S. A., and Arnold, R. N., 1957, "The Influence of Dynamical Imperfection on the Vibration of Rotating Disks," Proc. Inst. Mech. Eng., 171(1), pp. 669-690.
25. Mote, C. D., Jr., 1970, "Stability of Circular Plates Subjected to Moving Loads," J. Franklin Inst., 290(4), pp. 329-344.
26. Chen, J. S., and Bogy, D. B., 1992, "Effects of Load Parameters on the Natural Frequencies and Stability of a Flexible Spinning Disk With a Stationary Load System," J. Appl. Mech., 59(2), pp. S230-S235.
27. Parker, R. G., and Sathe, P. J., 1999, "Free Vibration and Stability of a Spinning Disk-Spindle System," J. Vib. Acoust., 121(3), pp. 391-396.
28. Parker, R. G., and Sathe, P. J., 1999, "Exact Solutions for the Free and Forced Vibration of a Rotating Disk-Spindle System," J. Sound Vib., 223(3), pp. 445-465. (Pubitemid 129550286)
29. Leissa, A. W., 1974, "On a Curve Veering Aberration," J. Appl. Math. Phys. (ZAMP), 25(1), pp. 99-111.
30. Kuttler, J. R., and Sigillito, V. G., 1981, "On Curve Veering," J. Sound Vib., 75(4), pp. 585-588.
31. Perkins, N. C., and Mote, C. D., Jr., 1986, "Comments on Curve Veering in Eigenvalue Problems," J. Sound Vib., 106(3), pp. 451-463. (Pubitemid 16547152)