New Treatment of the Rotary Motion of a Rigid Body with Estimated Natural Frequency
Author
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-12-07
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In this paper, the problem of the motion of a rigid body about a fixed point under the action of a Newtonian force field is studied when the natural frequency ω=0.5.
This case of singularity appears in the previous works and deals with different bodies which are classified according to the moments of inertia.
Using the large parameter method, the periodic solutions for the equations of motion of this problem are obtained in terms of a large parameter, which will be defined later.
The geometric interpretation of the considered motion will be given in terms of Euler’s angles.
The numerical solutions for the system of equations of motion are obtained by one of the well-known numerical methods.
The comparison between the obtained numerical solutions and analytical ones is carried out to show the errors between them and to prove the accuracy of both used techniques.
In the end, we obtain the case of the regular precession type as a special case.
The stability of the motion is considered by the phase diagram procedures.
American Psychological Association (APA)
Ismail, A. I.. 2020. New Treatment of the Rotary Motion of a Rigid Body with Estimated Natural Frequency. Advances in Astronomy،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-986212
Modern Language Association (MLA)
Ismail, A. I.. New Treatment of the Rotary Motion of a Rigid Body with Estimated Natural Frequency. Advances in Astronomy No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-986212
American Medical Association (AMA)
Ismail, A. I.. New Treatment of the Rotary Motion of a Rigid Body with Estimated Natural Frequency. Advances in Astronomy. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-986212
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-986212