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Introduction to Analytical Dynamics

2009-12-17 Science
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Release : 2009-12-17
Genre : Science
Kind : eBook
Book Rating : 160/5 ( reviews)

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Book Synopsis Introduction to Analytical Dynamics by : Nicholas Woodhouse

Download or read book Introduction to Analytical Dynamics written by Nicholas Woodhouse. This book was released on 2009-12-17. 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

1999 Dynamics
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Release : 1999
Genre : Dynamics
Kind : eBook
Book Rating : 770/5 ( reviews)

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Book Synopsis Analytical Dynamics by : Haim Baruh

Download or read book Analytical Dynamics written by Haim Baruh. This book was released on 1999. 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.

Advanced Analytical Dynamics

2017-02-27 Computers
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Release : 2017-02-27
Genre : Computers
Kind : eBook
Book Rating : 602/5 ( reviews)

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Book Synopsis Advanced Analytical Dynamics by : Vincent De Sapio

Download or read book Advanced Analytical Dynamics written by Vincent De Sapio. This book was released on 2017-02-27. 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.

Analytical Dynamics

2007-12-17 Science
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Release : 2007-12-17
Genre : Science
Kind : eBook
Book Rating : 338/5 ( reviews)

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Book Synopsis Analytical Dynamics by : Firdaus E. Udwadia

Download or read book Analytical Dynamics written by Firdaus E. Udwadia. This book was released on 2007-12-17. Available in PDF, EPUB and Kindle. Book excerpt: Constrained motion is of paramount importance in the design and analysis of mechanical systems and central to the study of analytical dynamics. The problem of constrained motion was first posed over two hundred years ago, and it has been worked on vigorously ever since. This book offers a fresh approach to the subject. Eminently readable, it is written as an introduction to analytical dynamics, with emphasis on fundamental concepts in mechanics. The connection between generalized inverses of matrices and constrained motion is a central theme. The book begins with a description of the motion of a particle subjected to holonomic and nonholonomic constraints and presents explicit equations of motion. Examples are provided throughout the book, and carefully formulated problems at the end of each chapter reinforce the material covered. This computationally appealing approach will be useful to students in engineering and the applied sciences.

Analytical Dynamics of Discrete Systems

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 188/5 ( reviews)

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

Download or read book Analytical Dynamics of Discrete Systems written by R. Rosenberg. This book was released on 2012-12-06. 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).

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