Sensitivity of general compound planetary gear natural frequencies and vibration modes to model parameters

American Society of Mechanical Engineers, Design Engineering Division (Publication) DE

Volumn , Issue , 2006, Pages

  Guo, Yichao ^a   Parker, Robert G ^a  

^a The Ohio State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; NATURAL FREQUENCIES; PARAMETER ESTIMATION; SHAFTS (MACHINE COMPONENTS); VIBRATIONAL SPECTRA;

MODEL PARAMETERS; PLANETARY GEAR; SYSTEM PARAMETERS; VIBRATION MODES;

GEARS;

EID: 85196520819     PISSN: 10716947     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/IMECE2006-14978     Document Type: Conference Paper

References (19)

1. Kiracofe, D. R., and Parker R. G., 2006, "Structured Vibration Modes of General Compound Planetary Gear Systems," in press, ASME J. Vibr. Acoust.
2. Peter Lynwander, "Gear Drive Systems: Design and Applications", 1983
3. Kahraman, A., 2001, "Free Torsional Vibration Characteristics of Compound Planetary Gear Sets," Mechanism and Machine Theory, Vol 36, pp. 953-971.
4. Botman, M., 1976, "Epicyclic gear vibations," ASME J. Engineering Indu., pp. 811-815.
5. Kahraman, A., 1994, "Natural modes of planetary gear trains," ASME J. Sound Vib., 173, pp. 125-130.
6. Saada, A., and Velex, P., 1995, "An extended model for the analysis of the dynamic behavior of planetary trains," ASME J. Mech. Desd 117, pp. 241-247.
7. Lin, J., and Parker, R. G., 1999, "Analytical characterization of the unique properties of planetary gear free vibration," ASME J. Vibr. and Acoust., 121, pp. 316-321.
8. Lin, J. and Parker, R. G., 1999, "Sensitivity of Planetary Gear Natural Frequencies and Vibration Modes to Model Parameters," Journal of Sound and Vibration, vol. 228, pp. 109-128.
9. Fox, R. L., and Kapoor, M. P., 1968, "Rates of change of eigenvalues and eigenvetors," AIAA Journal 6, pp. 2426-2429.
10. Courant, R. and Hubert, D., 1953, "Methods of Mathematical Physics," New York: Interscience Publishers.
11. Nelson, R. B., 1976, "Simplified calculation of eigenvector derivatives," AIAA Journal 14, pp. 1201-1205.
12. Mills-Crran, W.C., 1988, "Calcuation of eigenvector derivatives for structures with repeated eigenvalues," AIAA Journal 26, pp. 867-871.
13. Friswell, M. I., 1996, "The derivatives of repeated eigenvalues and their associated eigenvectors," ASME J. Vibr. Acoust., 118, pp. 390-397.
14. Lin, J., and Parker, R. G., 2000, "Structured Vibration Characteristics of Planetary Gears with Unequally Spaced Planets," ASME J. Sound Vib., 233(5), pp. 921-928.
15. Lin, J. and Parker, R. G., 2001, "Natural Frequency Veering in Planetary Gears," Mechanics of Structures and Machines, 29(4), pp. 411- 429.
16. Kahraman, A., and Blankenship, G. W., 1994, "Planet Mesh Phasing in Epicyclic Gear Sets," Proceedings of International Gearing Conference Newcastle, pp. 99-104.
17. Seager, D. L., 1975, "Conditions for the Neutralization of Excitation by the Teeth in Epicyclic Gearing," ASME J. of Mechanical Engineering Science. 17(5), pp 293-298.
18. Cunliffe, F., Smith, J. D., and Welbourn, D. B., 1974, "Dynamic Tooth Loads in Epicyclic Gears," ASME J. of Engineering Indust, pp. 578-584.
19. Pierre, C., 1988, "Mode localization and eigenvalue loci veering phenomena in disordered structures," ASME J. Sound Vib., 126, pp. 485-502.