Stability of linear conservative gyroscopic systems

Journal of Applied Mechanics, Transactions ASME

Volumn 58, Issue 1, 1991, Pages 229-232

  Walker, J A ^a  

^a NORTHWESTERN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES - EIGENVALUES AND EIGENFUNCTIONS; MECHANICS;

GYROSCOPE STABILITY CRITERIA; HIT-OR-MISS METHOD; LAGRANGE-DIRICHLET PRINCIPLE OF MINIMUM POTENTIAL ENERGY; LINEAR CONSERVATIVE GYROSCOPIC SYSTEMS;

GYROSCOPES;

EID: 0026122409     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.2897155     Document Type: Article

References (6)

1. Hagedorn, P., 1975, “Uber Die Instabilitat Konservativer Systeme Mit Gyroskopischen Kraften,” Achieve for Rational Mechanics and Analysis, Vol. 58, pp. 1-9.
2. Hahn, W., 1963, Theory and Application of Lapunov’s Direct Method, Prentice-Hall International, London.
3. Huseyin, K., Hagedorn, P., and Teschner, W., 1983, “On the Stability of Linear Conservative Gyroscopic Systems,” Journal of Applied Mathematics and Physics (ZAMP), Vol. 34, pp. 807-815.
4. Inman, D., 1988, “A Sufficient Condition for the Stability of Conservative Gyroscopic Systems,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 55, pp. 895-898.
5. Walker, J., 1980, Dynamical Systems and Evolution Equations, Plenum Press, New York.
6. Walker, J., 1988, “Pseudodissipative Systems I: Stability of Generalized Equilibria,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 55, pp. 681-686