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Published in:
Dynamics in Mechatronic Systems Read chapter Read first chapter

2012 | OriginalPaper | Chapter

2. Equations of Motion of a Rigid Spherical Body

Authors : Jan Awrejcewicz, Zbigniew Koruba

Published in: Classical Mechanics

Publisher: Springer New York

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Abstract

In this chapter, we introduce basic equations of dynamics of a rigid body during motion about a fixed pivot point. On the basis of these equations, later in this work, we will describe gyroscopic phenomena.

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previous chapter Dynamics in Mechatronic Systems
next chapter Theory of Gyroscopes
Footnotes
1
Sofia Kovalevskaya (1850–1891), Russian mathematician.
 
Literature
1.
G.K. Suslov, Theoretical Mechanics (GOSTEKHIZDAT, Moscow/Leningrad, 1946), in Russian
2.
J. Awrejcewicz, Classical Mechanics: Kinematics and Statics (Springer, Berlin, 2012)
3.
J. Awrejcewicz, Classical Mechanics: Dynamics (Springer, Berlin, 2012)
4.
L.G. Loytsyanskiy, A.I. Lurie, Lectures on Theoretical Mecahanics. Part 2. Dynamics (OGIZ, Leningrad, 1948), in Russian
5.
V.A. Pavlov, Aviational Giroscopic Devices (GOSIZDAT of the Russian Defence Industry, Moscow, 1954), in Russian
6.
V.N. Koshlyakov, Problems of Solid Body Dynamics and Applied Theory of Gyroscopes (Nauka, Moscow, 1985), in Russian
7.
A.M. Lestev, Nonlinear Gyroscopic Systems (LGU, Leningrad, 1983), in Russian
8.
V.Ph. Zhuravlev, D.M. Klimov, Hemispherical Resonator Gyro (Nauka, Moscow, 1985), in Russian.
9.
J.B. Scarborough, The Gyroscope: Theory and Application (Interscience, New York, 1958)
10.
A.Yu. Ishlinskii, Mechanics of Gyroscopic Systems. (English translation of Russian edition) (Oldbourne, London, 1965)
11.
M.A. Pavlovskiy, T.B. Putiaga, Theoretical Mechanics (Vyshaya Shkola, Kiev, 1985), in Russian
12.
M.A. Pavlovskiy, Theory of the Gyroscope (Vyshaya Shkola, Kiev, 1985), in Russian
Metadata
Title
Equations of Motion of a Rigid Spherical Body
Authors
Jan Awrejcewicz
Zbigniew Koruba
Copyright Year
2012
Publisher
Springer New York
Book
Classical Mechanics

Print ISBN: 978-1-4614-3977-6

Electronic ISBN: 978-1-4614-3978-3

Copyright Year: 2012

DOI
https://doi.org/10.1007/978-1-4614-3978-3_2