Unusual gyroscopic system eigenvalue behavior in high-speed planetary gears

Journal of Sound and Vibration

Volumn 332, Issue 7, 2013, Pages 1820-1828

  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

CRITICAL SPEED; EIGEN-VALUE; GYROSCOPIC SYSTEM; LUMPED-PARAMETER; NEAR-DEGENERATE; PLANETARY GEARS; STABILITY TRANSITION;

GYROSCOPES; INDUSTRIAL APPLICATIONS;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 84872781775     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2012.09.043     Document Type: Article

References (25)

1. S.A. Tobias, and R.N. Arnold The influence of dynamical imperfection on the vibration of rotating disks Proceedings of the Institution of Mechanical Engineers 171 1957 669 690
2. J.S. Chen, and D.B. Bogy Effects of load parameters on the natural frequencies and stability of a flexible spinning disk with a stationary load system Journal of Applied Mechanics 59 1992 S230 S235
3. C.D. Mote Jr. Stability of circular plates subjected to moving loads Journal of the Franklin Institute 290 1970 329 344
4. A.A. Renshaw, and C.D. Mote Jr. Absence of one nodal diameter critical speed modes in an axisymmetric rotating disk Journal of Applied Mechanics 59 1992 687 688 (Pubitemid 23590237)
5. S.G. Hutton, S. Chonan, and B.F. Lehmann Dynamic response of a guided circular saw Journal of Sound and Vibration 112 1987 527 539 (Pubitemid 17531462)
6. R.M.H. Khorasany, and S.G. Hutton The effect of axisymmetric nonflatness on the oscillation frequencies of a rotating disk Journal of Vibration and Acoustics 132 2010 051012
7. J. Wickert, and C.D. Mote Jr. Classical vibration analysis of axially moving continua Journal of Applied Mechanics 57 1990 738 744
8. R.G. Parker Supercritical speed stability of the trivial equilibrium of an axially moving string on an elastic foundation Journal of Sound and Vibration 221 1999 205 219 (Pubitemid 129550504)
9. M.P. Paidoussis, and N.T. Issid Dynamic stability of pipes conveying fluid Journal of Sound and Vibration 33 1974 267 294
10. R.G. Parker, and P.J. Sathe Free vibration and stability of a spinning disk-spindle system Journal of Vibration and Acoustics 121 1999 391 396
11. R.G. Parker, and P.J. Sathe Exact solutions for the free and forced vibration of a rotating disk-spindle system Journal of Sound and Vibration 223 1999 445 465 (Pubitemid 129550286)
12. J.-Y. Shen, C.-W. Tseng, and I.Y. Shen Vibration of rotating disk/spindle systems with flexible housing/stator assemblies Journal of Sound and Vibration 271 2004 725 756
13. W.B. Bickford, and E.S. Reddy On the in-plane vibrations of rotating rings Journal of Sound and Vibration 101 1985 13 22
14. W. Kim, and J. Chung Free non-linear vibration of a rotating thin ring with the in-plane and out-of-plane motions Journal of Sound and Vibration 258 2002 167 178 (Pubitemid 41100804)
15. R.P.S. Han, and J.W.-Z. Zu Modal analysis of rotating shafts a body-fixed axis formulation approach Journal of Sound and Vibration 156 1992 1 16
16. H.F. Bauer Vibration of a rotating uniform beam, part i orientation in the axis of rotation Journal of Sound and Vibration 72 1980 177 189 (Pubitemid 11470642)
17. H.P. Lee Dynamic stability of spinning beams of unsymmetrical cross-section with distinct end conditions Journal of Sound and Vibration 189 1996 161 171 (Pubitemid 126375605)
18. C.G. Cooley, R.G. Parker, Vibration properties of high-speed planetary gears with gyroscopic effects, Journal of Vibration and Acoustics 134 (2012) 061014.
19. C.G. Cooley, R.G. Parker, Critical speeds, divergence, and flutter instability in high-speed planetary gears, Proceedings of the ASME2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Chicago, IL, p. 70935.
20. J. Lin, and R.G. Parker Analytical characterization of the unique properties of planetary gear free vibration Journal of Vibration and Acoustics 121 1999 316 321
21. L. Meirovitch A new method of solution of the eigenvalue problem for gyroscopic systems AIAA Journal 12 1974 1337 1342
22. G. D' Eleuterio, and P. Hughes Dynamics of gyroelastic continua Journal of Applied Mechanics 51 1984 415 422
23. R.G. Parker On the eigenvalues and critical speed stability of gyroscopic continua Journal of Applied Mechanics 65 1998 134 140 (Pubitemid 128728560)
24. K. Huseyin Standard forms of the eigenvalue problems associated with gyroscopic systems Journal of Sound and Vibration 45 1976 29 37
25. W.D. Iwan, and T.L. Moeller The stability of a spinning elastic disk with a transverse load system Journal of Applied Mechanics 43 1976 485 490