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On the decoupling and solution of the Euler kinematic equations governing the motion of a Gyro
This item is provided by the institution :
National Technical University of Athens
Repository :
Digital Library of National Technical University of Athens | Dspace@NTUA
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ΕΚΤ item type
Journal part
(EN)
Scientific article
(EN)
EKT year
1990
(EN)
EKT historical period
Title
On the decoupling and solution of the Euler kinematic equations governing the motion of a Gyro (EN)
Creator
Theocaris, PS (EN)
Panayotounakos, DE (EN)
Description
The decoupling and solution of the three strongly non-linear ordinary differential equations governing the motion of an arbitrary rigid body which is free to rotate about a fixed point (gyro) are presented. The theory developed is based on the assumption that the components of the instantaneous angular velocity are known and are smooth arbitrary functions of time. The resulting equivalent differential equation is second order with respect to the angle of the nodding motion. Furthermore, through a quantitative analysis, analytical solutions of this equation were obtained, which determine the law of motion of the gyro for some general conditions in accordance with the physical problem. Finally, two theoretical applications are investigated, the solutions of which indicate the potential value and effectiveness of the theory proposed. © 1990. (EN)
Type
journalArticle (EN)
Subject
Mathematical Techniques (EN)
Kinematics (EN)
Mechanics (EN)
Equations of Motion (EN)
Gyroscopes (EN)
Euler Equations (EN)
Provider
National Technical University of Athens
Repository / collection
Digital Library of National Technical University of Athens | Dspace@NTUA
Subcollections
Κεντρική Βιβλιοθήκη Ε.Μ.Π.
Ιδρυματικό Αποθετήριο
Δημοσιεύσεις μελών Δ.Ε.Π. σε περιοδικά
Journal
International Journal of Non-Linear Mechanics (EN)
Language
English
Issued
1990 (EN)
Identifier
http://hdl.handle.net/123456789/10264
341 (EN)
331 (EN)
ISI:A1990DX44200002 (EN)
25 (EN)
4 (EN)
0020-7462 (EN)
Publisher
PERGAMON-ELSEVIER SCIENCE LTD (EN)
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