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Book
The elementary part of A treatise on the dynamics of a system of rigid bodies
Author:
ISBN: 110805031X 1139237241 Year: 2013 Publisher: Cambridge : Cambridge University Press,

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Abstract

As senior wrangler in 1854, Edward John Routh (1831-1907) was the man who beat James Clerk Maxwell in the Cambridge mathematics tripos. He went on to become a highly successful coach in mathematics at Cambridge, producing a total of twenty-seven senior wranglers during his career - an unrivalled achievement. In addition to his considerable teaching commitments, Routh was also a very able and productive researcher who contributed to the foundations of control theory and to the modern treatment of mechanics. First published in one volume in 1860, this textbook helped disseminate Routh's investigations into stability. This revised fifth edition was published in two volumes between 1891 and 1892. The first part establishes the principles of dynamics, providing formulae and examples throughout. While the growth of modern physics and mathematics may have forced out the problem-based mechanics of Routh's textbooks from the undergraduate syllabus, the utility and importance of his work is undiminished.

Keywords

Dynamics, Rigid.


Book
The advanced part of A treatise on the dynamics of a system of rigid bodies
Author:
ISBN: 1139237284 Year: 2013 Publisher: Cambridge : Cambridge University Press,

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Abstract

As senior wrangler in 1854, Edward John Routh (1831-1907) was the man who beat James Clerk Maxwell in the Cambridge mathematics tripos. He went on to become a highly successful coach in mathematics at Cambridge, producing a total of twenty-seven senior wranglers during his career - an unrivalled achievement. In addition to his considerable teaching commitments, Routh was also a very able and productive researcher who contributed to the foundations of control theory and to the modern treatment of mechanics. First published in one volume in 1860, this textbook helped disseminate Routh's investigations into stability. This revised fifth edition was published in two volumes between 1891 and 1892. The second part develops the extensive coverage of dynamics, providing formulae and examples throughout. While the growth of modern physics and mathematics may have forced out the problem-based mechanics of Routh's textbooks from the undergraduate syllabus, the utility and importance of his work is undiminished.

Keywords

Dynamics, Rigid.


Book
Rigid body kinematics
Authors: ---
ISBN: 1108809197 1108782310 Year: 2020 Publisher: Cambridge : Cambridge University Press,

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Abstract

Master the conceptual, theoretical and practical aspects of kinematics with this exhaustive text, which provides a rigorous analysis and description of general motion in mechanical systems, with numerous examples from spinning tops to wheel ground-vehicles. Over 400 figures illustrate the main ideas and provide a geometrical interpretation and a deeper understanding of concepts, and exercises and problems throughout the text provide additional hands-on practice. Ideal for students taking courses on rigid body kinematics, and an invaluable reference for researchers.

Robot dynamics algorithms
Author:
ISBN: 0898382300 0387743146 1489975608 1475764375 9786611117306 1281117307 0387743154 Year: 1987 Publisher: Boston, MA : Kluwer,

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Book
Rigid body dynamics
Authors: ---
ISBN: 9781108896191 9781108842136 1108902251 1108896197 Year: 2022 Publisher: Cambridge Cambridge University Press

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Building up from first principles and simple scenarios, this comprehensive introduction to rigid body dynamics gradually introduces readers to tools to address involved real-world problems, and cutting-edge research topics. Using a unique blend of conceptual, theoretical and practical approaches, concepts are developed and rigorously applied to practical examples in a consistent and understandable way. It includes discussion of real-world applications including robotics and vehicle dynamics, and over 40 thought-provoking fully worked examples to cement readers' understanding. Providing a wealth of resources allowing readers to confidently self-assess - including over 100 problems with solutions, over 400 high quality multiple choice questions, and end-of-chapter puzzles dealing with everyday situations - this is an ideal companion for undergraduate students in aerospace, civil and mechanical engineering.


Book
Advanced Newtonian rigid dynamics
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ISBN: 9819920221 9819920213 Year: 2023 Publisher: Singapore : Springer Nature Singapore : Imprint: Springer,

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This book discusses topics on D’Alembert’s principle, virtual work, Eulerian angles, Lagrange’s equation in generalized coordinates and motion of a top. Momental ellipsoid of a point of a rigid body and conservation principle of angular momentum are discussed in detail. This is an essential textbook on Newtonian rigid dynamics, useful for advanced undergraduate and graduate students of physics, mathematics and engineering. This book contains solutions to more than 350 examples as well as more than 350 figures, which are nicely explaining the concept of rigid dynamics. Necessary mathematics have been created at the spot where they are needed. .


Book
A treatise on the analytical dynamics of particles and rigid bodies : with an introduction to the problem of three bodies
Author:
ISBN: 1316043142 0511608799 Year: 1988 Publisher: Cambridge : Cambridge University Press,

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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.


Book
Effets gyroscopiques et méthodes vectorielles : questions de mécanique simplifiées
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Year: 1920 Publisher: Paris : Dunod,

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A treatise on the analytical dynamics of particles and rigid bodies
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ISBN: 0521358833 9780521358835 9780511608797 Year: 1988 Publisher: Cambridge Cambridge University Press

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Book
Matrix methods in the design analysis of mechanisms and multibody systems
Authors: --- ---
ISBN: 1107233143 1107255201 1107344905 1107341159 1107347408 113903233X 1107357020 1107343658 Year: 2013 Publisher: Cambridge : Cambridge University Press,

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This book is an integrated approach to kinematic and dynamic analysis. The matrix techniques presented are general and fully applicable to two- or three-dimensional systems. They lend themselves to programming and digital computation and can act as the basis of a usable tool for designers. Techniques have broad applicability to the design analysis of all multibody mechanical systems. The more powerful and more flexible the approach, and the less specialisation and reprogramming required for each application, the better. The matrix methods presented have been developed using these ideas as primary goals. Matrix methods can be applied by hand to such problems as the slider-crank mechanism, but this is not the intent of this text, and often the rigor required for such an attempt becomes quite burdensome in comparison with other techniques. The matrix methods have been extensively tested, both in the classroom and in the world of engineering industry.

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