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Applying the Large Parameter Technique for Solving a Slow Rotary Motion of a Disc about a Fixed Point
Author
Source
International Journal of Aerospace Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-09-16
Country of Publication
Egypt
No. of Pages
7
Abstract EN
In this paper, the motion of a disk about a fixed point under the influence of a Newtonian force field and gravity one is considered.
We modify the large parameter technique which is achieved by giving the body a sufficiently small angular velocity component r0 about the fixed z-axis of the disk.
The periodic solutions of motion are obtained in the neighborhood r0 tends to 0.
This case of study is excluded from the previous works because of the appearance of a singular point in the denominator of the obtained solutions.
Euler-Poison equations of motion are obtained with their first integrals.
These equations are reduced to a quasilinear autonomous system of two degrees of freedom and one first integral.
The periodic solutions for this system are obtained under the new initial conditions.
Computerizing the obtained periodic solutions through a numerical technique for validation of results is done.
Two types of analytical and numerical solutions in the new domain of the angular velocity are obtained.
Geometric interpretations of motion are presented to show the orientation of the body at any instant of time t.
American Psychological Association (APA)
Ismail, A. I.. 2020. Applying the Large Parameter Technique for Solving a Slow Rotary Motion of a Disc about a Fixed Point. International Journal of Aerospace Engineering،Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1168374
Modern Language Association (MLA)
Ismail, A. I.. Applying the Large Parameter Technique for Solving a Slow Rotary Motion of a Disc about a Fixed Point. International Journal of Aerospace Engineering No. 2020 (2020), pp.1-7.
https://search.emarefa.net/detail/BIM-1168374
American Medical Association (AMA)
Ismail, A. I.. Applying the Large Parameter Technique for Solving a Slow Rotary Motion of a Disc about a Fixed Point. International Journal of Aerospace Engineering. 2020. Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1168374
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1168374