Stability theory : an introduction to the stability of dynamic systems and rigid bodies
著者
書誌事項
Stability theory : an introduction to the stability of dynamic systems and rigid bodies
B.G. Teubner , Wiley, c1987
2nd ed.
- Wiley
- Teubner
- タイトル別名
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Stabilitätstheorie
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注記
Bibliography: p. 351-352
Translation of: Stabilitätstheorie
Includes indexes
内容説明・目次
- 巻冊次
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Wiley ISBN 9780471911814
内容説明
This book describes a unified theory of stability for systems of rigid bodies with finite degrees of freedom and for continuous elastic bodies with infinite degrees of freedom. This involves extending the direct method of Lyapunov so that it can be used to evaluate the stability of continuous elastic bodies. Special attention has also been paid to a dynamical treatment of the stability of these bodies, and the existence of nonconservative follower forces has been taken into account. For this second edition the author has fully revised and updated his material; in particular, the section on elastomechanics has been completely rewritten to include the major developments which have taken place in this area. Exercises for the reader have been added at the end of each chapter.
- 巻冊次
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Teubner ISBN 9783519021056
目次
I. Fundamentals.- 1.1. Basic Concepts and Definitions.- 1.2. Sensitivity Equations and Variational Equations.- 1.3. Linear Variational Equations.- 1.4. Investigations in Phase Space.- 1.5. The Direct Method of Lyapunov.- 1.6. The Energy Method.- 1.7. Mathematical Approximation Methods.- II. Application of Stability Theory to Selected Problems of Mechanics.- 2.1. Celestial Mechanics Problems.- 2.2. Problems of the Mechanics of Rigid Bodies and of Systems.- 2.3. Problems of Elastomechanics.- Author Index.
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