Stability Boundaries of a Conservative Gyroscopic System-Reference-Cited by-同舟云学术

Stability Boundaries of a Conservative Gyroscopic System

Published:2003-07-01 Issue:4 Volume:70 Page:561-567
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Gladwell G. M. L.¹,Khonsari M. M.²,Ram Y. M.²

Affiliation:

1. Department of Civil Engineering, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada

2. Department of Mechanical Engineering, Louisiana State University, Baton Rouge, LA 70806

Abstract

Depending on the speed of rotation, a gyroscopic system may lose or gain stability. The paper characterizes the critical angular velocities at which a conservative gyroscopic system may change from a stable to an unstable state, and vice versa, in terms of the eigenvalues of a high-order matrix pencil. A numerical method for evaluation of all possible candidates for such critical velocities is developed.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/70/4/561/5469995/561_1.pdf

Reference14 articles.

1. Parker, R. J. , 1998, “On the Eigenvalues and Critical Speed Stability of Gyroscopic Continua,” ASME J. Appl. Mech., 65, pp. 134–140.

2. Ahmadian, M., and Inman, D. J., 1986, “Some Stability Results for General Linear Lumped-Parameter Dynamic Systems,” ASME J. Appl. Mech., 53, pp. 10–14.

3. Barkwell, L., Lancaster, P., and Marcus, A. S., 1992, “Gyroscopically Stabilized Systems: A Class of Quadratic Eigenvalue Problems With Real Spectrum,” Can. J. Math., 44, pp. 42–53.

4. Barkwell, L., and Lancaster, P., 1992, “Overdamped and Gyroscopic Vibrating Systems,” ASME J. Appl. Mech., 59, pp. 176–181.

5. Duffin, R. J. , 1955, “The Rayleigh-Ritz Method for Dissipative or Gyroscopic Systems,” Q. Appl. Math., 18, pp. 215–221.

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Dynamical Behavior of a Rigid Body with One Fixed Point (Gyroscope). Basic Concepts and Results. Open Problems: a Review;J APPL COMPUT MECH;2015