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The Stability Conditions for a Heavy Solid Motion
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-24
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
In this paper, the stability conditions for the rotary motion of a heavy solid about its fixed point are considered.
The center of mass of the body is assumed to lie on the moving z-axis which is assumed to be the minor axis of the ellipsoid of inertia.
The nonlinear equations of motion and their three first integrals are obtained when the principal moments of inertia are distributed as I1 We construct a Lyapunov function L to investigate the stability conditions for this motion. We give a numerical example to illustrate the necessary and sufficient conditions for the stability of the body at certain moments of inertia. This problem has many important applications in different sciences.
American Psychological Association (APA)
Ismail, A. I.. 2020. The Stability Conditions for a Heavy Solid Motion. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-4.
https://search.emarefa.net/detail/BIM-1201641
Modern Language Association (MLA)
Ismail, A. I.. The Stability Conditions for a Heavy Solid Motion. Mathematical Problems in Engineering No. 2020 (2020), pp.1-4.
https://search.emarefa.net/detail/BIM-1201641
American Medical Association (AMA)
Ismail, A. I.. The Stability Conditions for a Heavy Solid Motion. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-4.
https://search.emarefa.net/detail/BIM-1201641
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1201641