A Treatise on the Analytical Dynamics of Particles and Rigid Bodies
A Treatise on the Analytical Dynamics of Particles and Rigid Bodies

Author: E. T. Whittaker

Publisher: Cambridge University Press

Published: 1988-12-15

Total Pages: 482

ISBN-13: 9780521358835

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This classic book is a encylopaedic and comprehensive account of the classical theory of analytical dynamics. The treatment is rigorous yet readable, starting from first principles with kinematics before moving to equations of motion and specific and explicit methods for solving them, with chapters devoted to particle dyanmics, rigid bodies, vibration, and dissipative systems. Hamilton's principle is introduced and then applied to dynamical systems, including three-body systems and celestial mechanics. Very many examples and exercisies are supplied throughout.

The Elementary Part of a Treatise on the Dynamics of a System of Rigid Bodies
The Elementary Part of a Treatise on the Dynamics of a System of Rigid Bodies

Author: Edward John Routh

Publisher: Cambridge University Press

Published: 2012-11-15

Total Pages: 433

ISBN-13: 110805031X

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Edward John Routh (1831-1907) was a highly successful mathematics coach at Cambridge. He also contributed to the foundations of control theory and to the modern treatment of mechanics. Published in 1891, this first part of a revised textbook establishes the principles of dynamics, providing formulae and examples throughout.

A Treatise on the Analytical Dynamics of Particles and Rigid Bodies
A Treatise on the Analytical Dynamics of Particles and Rigid Bodies

Author: Whittaker E T (Edmund Taylor)

Publisher: Legare Street Press

Published: 2023-07-18

Total Pages: 0

ISBN-13: 9781019369548

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Whittaker's groundbreaking treatise on particle and rigid body dynamics is a must-read for physicists and mathematicians. It offers clear explanations of complex concepts, with helpful diagrams and examples throughout. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Analytical Dynamics
Analytical Dynamics

Author: Haim Baruh

Publisher: McGraw-Hill Science, Engineering & Mathematics

Published: 1999

Total Pages: 0

ISBN-13: 9780073659770

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This book presents a fair and balanced description of dynamics problems and formulations. From the classical methods to the newer techniques used in today's complex and multibody environments, this text shows how those approaches complement each other. The text begins by introducing the reader to the basic concepts in mechanics. These concepts are introduced at the particle mechanics level. The text then extends these concepts to systems of particles, rigid bodies (plane motion and 3D), and lightly flexible bodies. The cornerstone variational principles of mechanics are developed and they are applied to particles, rigid bodies, and deformable bodies. The text emphasizes both the derivation of the describing equations and the response. The describing equations are developed using force and moment balances, as well as variational principles. Different approaches of obtaining equations of motion are discussed and compared. The response is analyzed qualitatively and quantitatively.

Analytical Mechanics
Analytical Mechanics

Author: Antonio Fasano

Publisher: Oxford University Press on Demand

Published: 2006-04-06

Total Pages: 788

ISBN-13: 0198508026

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Is the solar system stable? Is there a unifying 'economy' principle in mechanics? How can a pointmass be described as a 'wave'? This book offers students an understanding of the most relevant and far reaching results of the theory of Analytical Mechanics, including plenty of examples, exercises, and solved problems.

Rigid Body Dynamics for Space Applications
Rigid Body Dynamics for Space Applications

Author: Vladimir Aslanov

Publisher: Butterworth-Heinemann

Published: 2017-04-22

Total Pages: 422

ISBN-13: 0081018746

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Rigid Body Dynamics for Space Applications explores the modern problems of spaceflight mechanics, such as attitude dynamics of re-entry and space debris in Earth's atmosphere; dynamics and control of coaxial satellite gyrostats; deployment, dynamics, and control of a tether-assisted return mission of a re-entry capsule; and removal of large space debris by a tether tow. Most space systems can be considered as a system of rigid bodies, with additional elastic and viscoelastic elements and fuel residuals in some cases. This guide shows the nature of the phenomena and explains the behavior of space objects. Researchers working on spacecraft attitude dynamics or space debris removal as well as those in the fields of mechanics, aerospace engineering, and aerospace science will benefit from this book. - Provides a complete treatise of modeling attitude for a range of novel and modern attitude control problems of spaceflight mechanics - Features chapters on the application of rigid body dynamics to atmospheric re-entries, tethered assisted re-entry, and tethered space debris removal - Shows relatively simple ways of constructing mathematical models and analytical solutions describing the behavior of very complex material systems - Uses modern methods of regular and chaotic dynamics to obtain results