Introduction to Analytical Dynamics

Introduction to Analytical Dynamics

Author: Nicholas Woodhouse

Publisher: Springer Science & Business Media

Published: 2009-12-17

Total Pages: 240

ISBN-13: 1848828160

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First published in 1987, this text offers concise but clear explanations and derivations to give readers a confident grasp of the chain of argument that leads from Newton’s laws through Lagrange’s equations and Hamilton’s principle, to Hamilton’s equations and canonical transformations. This new edition has been extensively revised and updated to include: A chapter on symplectic geometry and the geometric interpretation of some of the coordinate calculations. A more systematic treatment of the conections with the phase-plane analysis of ODEs; and an improved treatment of Euler angles. A greater emphasis on the links to special relativity and quantum theory showing how ideas from this classical subject link into contemporary areas of mathematics and theoretical physics. A wealth of examples show the subject in action and a range of exercises – with solutions – are provided to help test understanding.


Book Synopsis Introduction to Analytical Dynamics by : Nicholas Woodhouse

Download or read book Introduction to Analytical Dynamics written by Nicholas Woodhouse and published by Springer Science & Business Media. This book was released on 2009-12-17 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1987, this text offers concise but clear explanations and derivations to give readers a confident grasp of the chain of argument that leads from Newton’s laws through Lagrange’s equations and Hamilton’s principle, to Hamilton’s equations and canonical transformations. This new edition has been extensively revised and updated to include: A chapter on symplectic geometry and the geometric interpretation of some of the coordinate calculations. A more systematic treatment of the conections with the phase-plane analysis of ODEs; and an improved treatment of Euler angles. A greater emphasis on the links to special relativity and quantum theory showing how ideas from this classical subject link into contemporary areas of mathematics and theoretical physics. A wealth of examples show the subject in action and a range of exercises – with solutions – are provided to help test understanding.

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.


Book Synopsis Analytical Dynamics by : Haim Baruh

Download or read book Analytical Dynamics written by Haim Baruh and published by McGraw-Hill Science, Engineering & Mathematics. This book was released on 1999 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Dynamics

Analytical Dynamics

Author: Mark D. Ardema

Publisher: Springer Science & Business Media

Published: 2006-10-31

Total Pages: 345

ISBN-13: 0306486822

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This book takes a traditional approach to the development of the methods of analytical dynamics, using two types of examples throughout: simple illustrations of key results and thorough applications to complex, real-life problems.


Book Synopsis Analytical Dynamics by : Mark D. Ardema

Download or read book Analytical Dynamics written by Mark D. Ardema and published by Springer Science & Business Media. This book was released on 2006-10-31 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes a traditional approach to the development of the methods of analytical dynamics, using two types of examples throughout: simple illustrations of key results and thorough applications to complex, real-life problems.

Analytical Mechanics of Space Systems

Analytical Mechanics of Space Systems

Author: Hanspeter Schaub

Publisher: AIAA

Published: 2003

Total Pages: 744

ISBN-13: 9781600860270

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Book Synopsis Analytical Mechanics of Space Systems by : Hanspeter Schaub

Download or read book Analytical Mechanics of Space Systems written by Hanspeter Schaub and published by AIAA. This book was released on 2003 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analytical System Dynamics

Analytical System Dynamics

Author: Brian Fabien

Publisher: Springer Science & Business Media

Published: 2008-11-09

Total Pages: 335

ISBN-13: 0387856056

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"Analytical System Dynamics: Modeling and Simulation" combines results from analytical mechanics and system dynamics to develop an approach to modeling constrained multidiscipline dynamic systems. This combination yields a modeling technique based on the energy method of Lagrange, which in turn, results in a set of differential-algebraic equations that are suitable for numerical integration. Using the modeling approach presented in this book enables one to model and simulate systems as diverse as a six-link, closed-loop mechanism or a transistor power amplifier.


Book Synopsis Analytical System Dynamics by : Brian Fabien

Download or read book Analytical System Dynamics written by Brian Fabien and published by Springer Science & Business Media. This book was released on 2008-11-09 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Analytical System Dynamics: Modeling and Simulation" combines results from analytical mechanics and system dynamics to develop an approach to modeling constrained multidiscipline dynamic systems. This combination yields a modeling technique based on the energy method of Lagrange, which in turn, results in a set of differential-algebraic equations that are suitable for numerical integration. Using the modeling approach presented in this book enables one to model and simulate systems as diverse as a six-link, closed-loop mechanism or a transistor power amplifier.

Fundamentals of Dynamics and Analysis of Motion

Fundamentals of Dynamics and Analysis of Motion

Author: Marcelo R. M. Crespo da Silva

Publisher: Courier Dover Publications

Published: 2016-04-21

Total Pages: 722

ISBN-13: 0486797376

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Suitable as both a reference and a text for graduate students, this book stresses the fundamentals of setting up and solving dynamics problems rather than the indiscriminate use of elaborate formulas. Includes tutorials on relevant software. 2015 edition.


Book Synopsis Fundamentals of Dynamics and Analysis of Motion by : Marcelo R. M. Crespo da Silva

Download or read book Fundamentals of Dynamics and Analysis of Motion written by Marcelo R. M. Crespo da Silva and published by Courier Dover Publications. This book was released on 2016-04-21 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable as both a reference and a text for graduate students, this book stresses the fundamentals of setting up and solving dynamics problems rather than the indiscriminate use of elaborate formulas. Includes tutorials on relevant software. 2015 edition.

A Treatise on the Analytical Dynamics of Particles and Rigid Bodies

A Treatise on the Analytical Dynamics of Particles and Rigid Bodies

Author: Edmund Taylor Whittaker

Publisher:

Published: 1904

Total Pages: 416

ISBN-13:

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Book Synopsis A Treatise on the Analytical Dynamics of Particles and Rigid Bodies by : Edmund Taylor Whittaker

Download or read book A Treatise on the Analytical Dynamics of Particles and Rigid Bodies written by Edmund Taylor Whittaker and published by . This book was released on 1904 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analytical Dynamics of Discrete Systems

Analytical Dynamics of Discrete Systems

Author: R. Rosenberg

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 431

ISBN-13: 1468483188

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This book is to serve as a text for engineering students at the senior or beginning graduate level in a second course in dynamics. It grew out of many years experience in teaching such a course to senior students in mechanical engineering at the University of California, Berkeley. While temperamentally disinclined to engage in textbook writing, I nevertheless wrote the present volume for the usual reason-I was unable to find a satisfactory English-language text with the content covered in my inter mediate course in dynamics. Originally, I had intended to fit this text very closely to the content of my dynamics course for seniors. However, it soon became apparent that that course reflects too many of my personal idiosyncracies, and perhaps it also covers too little material to form a suitable basis for a general text. Moreover, as the manuscript grew, so did my interest in certain phases of the subject. As a result, this book contains more material than can be studied in one semester or quarter. My own course covers Chapters 1 to 5 (Chapters 1,2, and 3 lightly) and Chapters 8 to 20 (Chapter 17 lightly).


Book Synopsis Analytical Dynamics of Discrete Systems by : R. Rosenberg

Download or read book Analytical Dynamics of Discrete Systems written by R. Rosenberg and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is to serve as a text for engineering students at the senior or beginning graduate level in a second course in dynamics. It grew out of many years experience in teaching such a course to senior students in mechanical engineering at the University of California, Berkeley. While temperamentally disinclined to engage in textbook writing, I nevertheless wrote the present volume for the usual reason-I was unable to find a satisfactory English-language text with the content covered in my inter mediate course in dynamics. Originally, I had intended to fit this text very closely to the content of my dynamics course for seniors. However, it soon became apparent that that course reflects too many of my personal idiosyncracies, and perhaps it also covers too little material to form a suitable basis for a general text. Moreover, as the manuscript grew, so did my interest in certain phases of the subject. As a result, this book contains more material than can be studied in one semester or quarter. My own course covers Chapters 1 to 5 (Chapters 1,2, and 3 lightly) and Chapters 8 to 20 (Chapter 17 lightly).

Tensor Calculus and Analytical Dynamics

Tensor Calculus and Analytical Dynamics

Author: John G. Papastavridis

Publisher: Routledge

Published: 2018-12-12

Total Pages: 435

ISBN-13: 1351411624

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Tensor Calculus and Analytical Dynamics provides a concise, comprehensive, and readable introduction to classical tensor calculus - in both holonomic and nonholonomic coordinates - as well as to its principal applications to the Lagrangean dynamics of discrete systems under positional or velocity constraints. The thrust of the book focuses on formal structure and basic geometrical/physical ideas underlying most general equations of motion of mechanical systems under linear velocity constraints. Written for the theoretically minded engineer, Tensor Calculus and Analytical Dynamics contains uniquely accessbile treatments of such intricate topics as: tensor calculus in nonholonomic variables Pfaffian nonholonomic constraints related integrability theory of Frobenius The book enables readers to move quickly and confidently in any particular geometry-based area of theoretical or applied mechanics in either classical or modern form.


Book Synopsis Tensor Calculus and Analytical Dynamics by : John G. Papastavridis

Download or read book Tensor Calculus and Analytical Dynamics written by John G. Papastavridis and published by Routledge. This book was released on 2018-12-12 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tensor Calculus and Analytical Dynamics provides a concise, comprehensive, and readable introduction to classical tensor calculus - in both holonomic and nonholonomic coordinates - as well as to its principal applications to the Lagrangean dynamics of discrete systems under positional or velocity constraints. The thrust of the book focuses on formal structure and basic geometrical/physical ideas underlying most general equations of motion of mechanical systems under linear velocity constraints. Written for the theoretically minded engineer, Tensor Calculus and Analytical Dynamics contains uniquely accessbile treatments of such intricate topics as: tensor calculus in nonholonomic variables Pfaffian nonholonomic constraints related integrability theory of Frobenius The book enables readers to move quickly and confidently in any particular geometry-based area of theoretical or applied mechanics in either classical or modern form.

Advanced Analytical Dynamics

Advanced Analytical Dynamics

Author: Vincent De Sapio

Publisher: Cambridge University Press

Published: 2017-02-27

Total Pages: 305

ISBN-13: 1107179602

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Intended for graduate students, this textbook provides an understanding of the theoretical underpinnings of analytical mechanics, as well as modern task-based approaches that can be exploited for real-world problems. Students will receive a timely perspective on applying theory to modern problems in areas like biomechanics and robotics.


Book Synopsis Advanced Analytical Dynamics by : Vincent De Sapio

Download or read book Advanced Analytical Dynamics written by Vincent De Sapio and published by Cambridge University Press. This book was released on 2017-02-27 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for graduate students, this textbook provides an understanding of the theoretical underpinnings of analytical mechanics, as well as modern task-based approaches that can be exploited for real-world problems. Students will receive a timely perspective on applying theory to modern problems in areas like biomechanics and robotics.