Skip to content
Research Article Open access CC BY 4.0

The Influence of Circulatory Forces on the Stability of Undamped Gyroscopic Systems

Ubong D. Akpan

Asian Research Journal of Mathematics · pp. 90–94 · Published 30 Jul 2021

10.9734/arjom/2021/v17i530302

Abstract

In this paper, the effects of circulatory forces on undamped gyroscopic systems have been studied. The stability or otherwise of arising MGKN systems have been analysed using eigenvalue method and Lyapunov method. Bottema-Lakhadanov-Karapetyan theorem is also employed to further analyze the systems. Examples are given to illustrate the use of these methods in determining the stability or otherwise of undamped gyroscopic circulatory systems.

Asymptotic stability circulatory forces stability undamped gyroscopic system

References (7)

  1. 1 Theory of the shimmy phenomenon [DOI]
  2. 2 On the stability of the equilibrium of a linear mechanical system [DOI]
  3. 3 Can Solar Sails Flutter? [DOI]
  4. 4 Self-Excited Vibrations and Damping in Circulatory Systems [DOI]
  5. 5 Stabilita¨t und Matrizen [DOI]
  6. 6 Some stability problems in applied mechanics [DOI]
  7. 7 A stability theorem for gyroscopic systems [DOI]

Cited by 2

Analysis of Fractional Input Stability and Global Asymptotic Stability of Systems of Fractional Differential Equations

Ubong D. Akpan · African Journal of Mathematics and Statistics Studies · 2025

Showing 1 of 2 known citations — external sources report more than can currently be individually listed.

Article metrics

Real usage data collected on this platform.

38

Page views

0

PDF downloads

3

Outbound clicks

2

Citations

Views over time

Views by country

Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".

Traffic sources

Referring site, by host.

Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.