A stability criterion for parameter-dependent gyroscopic systems

Journal of Applied Mechanics, Transactions ASME

Volumn 66, Issue 3, 1999, Pages 660-664

  Hryniv, R O ^a   Lancaster, P ^a   Renshaw, A A ^b  

^a UNIVERSITY OF CALGARY   (Canada)

^b Columbia University ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; MACHINE DESIGN; STABILITY CRITERIA;

PARAMETER-DEPENDENT GYROSCOPIC SYSTEMS;

GYROSCOPES;

EID: 0033187812     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.2791530     Document Type: Article

References (14)

1. Done, G. T. S., and Simpson, A., 1977, “Dynamic Instability of Certain Conservative and Non-Conservative Systems,”Journal of Mechanical Engineering Science, Vol. 19, No. 6, pp. 251-263.
2. Gohberg, I., Lancaster, P., and Rodman, L., 1982, Matrix Polynomials, Academic Press, New York.
3. Hryniv, R., and Lancaster, P., 1998, “On the Perturbation of Analytic Matrix Functions,”Integral Equations and Operator Theory, to appear.
4. Huseyin, K., and Plaut, R. H., 1974-1975, “Transverse Vibrations and Stability of Systems with Gyroscopic Forces,” Journal of Structural Mechanics, Vol. 3, No. 2, pp. 163-177.
5. Iwan, W. D., and Moeller, T. L., 1976, “The Stability of a Spinning Elastic Disk with a Transverse Load System,” ASME Journal of Applied Mechanics, Vol. 43, pp. 485-490.
6. Lancaster, P., and Kliem, W., 1998, “Comments on Stability Properties of Conservative Gyroscopic Systems,” ASME Journal of Applied Mechanics, accepted for publication.
7. Miloslavskii, A. I., 1983, “Foundations of the Spectral Approach in Nonconservative Problems of the Theory of Elastic Stability,”Functional Analysis and Its Applications, Vol. 17, pp. 233-235.
8. Plaut, R. H., 1976, “Alternative Formulations for Discrete Gyroscopic Eigenvalue Problems,”AIAA Journal, Vol. 14, pp. 431-435.
9. Renshaw, A. A., and Mote, Jr., C. D., 1992, “Absence of One Nodal Diameter Critical Speed Modes in an Axisymmetric Rotating Disk,” ASME Journal of Applied Mechanics, Vol. 59, pp. 687-688.
10. Renshaw, A. A., and Mote, Jr., C. D., 1996, “Local Stability of Gyroscopic Systems Near Vanishing Eigenvalues,” ASME Journal of Applied Mechanics, Vol. 63, pp. 116-120.
11. Renshaw, A. A., 1998, “Stability of Gyroscopic Systems Near Vanishing Eigenvalues,” ASME Journal of Applied Mechanics, accepted for publication.
12. Shen, I. Y., and Ku, C. P. R., 1997, “A Nonclassical Vibration Analysis of a Multiple Rotating Disk and Spindle Assembly,” ASME Journal of Applied Mechanics, Vol. 64, pp. 165-174.
13. Sneddon, I. N., 1966, Mixed Boundary Value Problems in Potential Theory, Elsevier, New York.
14. Tseng, J. G., and Wickert, J. A., 1998, “Split Vibration Modes in Acoustically-Coupled Disk Stacks,”Journal of Vibration and Acoustics, Vol. 120, pp. 234-239.