A sufficient condition for the stability of conservative gyroscopic systems

Journal of Applied Mechanics, Transactions ASME

Volumn 55, Issue 4, 1988, Pages 895-898

  Inman, D J ^a  

^a BROWN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EQUATIONS OF MOTION; MATHEMATICAL TECHNIQUES--DIFFERENTIAL EQUATIONS;

2 DEGREE OF FREEDOM SYSTEM; CONSERVATIVE GYROSCOPIC SYSTEMS; HUSEYIN HAGEDORN TESCHNER THEOREM;

GYROSCOPES;

EID: 0024135887     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.3173738     Document Type: Article

References (12)

1. Duffin, R. J., 1960, “The Rayleigh-Ritz Method for Dissipative or Gyroscopic Systems,” Quarterly of Applied Math., Vol. 18, pp. 2115-221.
2. Hagedorn, P., 1975, “Uber Die Instabilität Konservativer Systeme Mit Gyroskopischen Kräften,” Arch. Rat. Mech. Anal., Vol. 58, pp. 1-9.
3. Huseyin, K., 1976, “Standard Forms of the Eigenvalue Problems Associated with Gyroscopic Systems,” Journal of Sound and Vibration, Vol. 45, No. 1, pp. 29-37.
4. Huseyin, K., 1978, Vibrations and Stability of Miltiple Parameter Systems, Noordholl International Publishing.
5. Huseyin, K., Hagedorn, P., and Teschner, W., 1983, “On the Stability of Linear Conservative Gyroscopic Systems,” Journal of Applied Mathematics and Physics, Vol. 34, No. 6, pp. 807-815.
6. Inman, D. J., 1989, Vibration with Control Measurement and Stability, Prentice-Hall.
7. Inman, D. J., and Saggio, III, F., 1985, “Stability Analysis of a Gyroscopic System by Matrix Methods,” AIAA Journal of Guidance, Control and Dynamics, Vol. 8, No. 1, pp. 150-152.
8. Lancaster, P., 1966, Lambda Matrices and Vibrating Systems, Pergamon Press, pp. 135-136.
9. Ortega, J. A., 1988, Matrix Theory, a Second Course, Plenum Press, New York.
10. Teschner, W., 1977, “On the Stability of Gyroscopic Systems,” Doctoral Thesis, Darmstadt Technische Hochschule, p. 41, (in German).
11. Willems, J. L., 1976, Stability Theory of Dynamical Systems, John Wiley & Sons, Inc., New York, p. 11.
12. Zajac, E. E., 1964, “The Kelvin-Tait-Chetaev Theorem and Extensions,” Journal of the Astronautical Sciences, Vol. 11, No. 2, pp. 46-49.