On the Analysis of Damped Gyroscopic Systems Using Lyapunov Direct Method
Journal of Advances in Mathematics and Computer Science · pp. 63–74 · Published 30 Jul 2021
10.9734/jamcs/2021/v36i630372Abstract
In this work, the stability properties of damped gyroscopic systems have been studied using Lyapunov direct method. These systems are generally stable because of the presence of gyroscopic effect. Conditions for determining the stability of the damped gyroscopic systems have been developed. Solution bounds of amplitude and velocity have been obtained for both homogeneous and inhomogeneous cases. An example is given to show how the stability conditions are applied to systems to determine its stability status.
References (4)
- 1 On the stability of nonconservative systems with small dissipation [DOI]
- 2 Asymptotic stability of second-order linear systems with semidefinite damping. [DOI]
- 3 Amplitude Bounds of Linear Free Vibrations [DOI]
- 4 Stability Analysis and Response Bounds of Gyroscopic Systems [DOI]
Cited by 2
Ubong D. Akpan · African Journal of Mathematics and Statistics Studies · 2025
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