Analytical Dynamics
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Author | : Nicholas Woodhouse |
Publisher | : Springer Science & Business Media |
Total Pages | : 240 |
Release | : 2009-12-17 |
Genre | : Science |
ISBN | : 1848828160 |
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.
Author | : Haim Baruh |
Publisher | : McGraw-Hill Science, Engineering & Mathematics |
Total Pages | : 0 |
Release | : 1999 |
Genre | : Dynamics |
ISBN | : 9780073659770 |
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.
Author | : Firdaus E. Udwadia |
Publisher | : Cambridge University Press |
Total Pages | : 0 |
Release | : 2007-12-17 |
Genre | : Science |
ISBN | : 0521048338 |
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.
Author | : Vincent De Sapio |
Publisher | : Cambridge University Press |
Total Pages | : 305 |
Release | : 2017-02-27 |
Genre | : Computers |
ISBN | : 1107179602 |
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.
Author | : Mark D. Ardema |
Publisher | : Springer Science & Business Media |
Total Pages | : 345 |
Release | : 2006-10-31 |
Genre | : Technology & Engineering |
ISBN | : 0306486822 |
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.
Author | : Brian Fabien |
Publisher | : Springer Science & Business Media |
Total Pages | : 335 |
Release | : 2008-11-09 |
Genre | : Technology & Engineering |
ISBN | : 0387856056 |
"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.
Author | : R. Rosenberg |
Publisher | : Springer Science & Business Media |
Total Pages | : 431 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1468483188 |
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).
Author | : John G. Papastavridis |
Publisher | : Routledge |
Total Pages | : 435 |
Release | : 2018-12-12 |
Genre | : Mathematics |
ISBN | : 1351411624 |
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.
Author | : Hanspeter Schaub |
Publisher | : AIAA |
Total Pages | : 744 |
Release | : 2003 |
Genre | : Celestial mechanics |
ISBN | : 9781600860270 |
Author | : Marcelo R. M. Crespo da Silva |
Publisher | : Courier Dover Publications |
Total Pages | : 722 |
Release | : 2016-04-21 |
Genre | : Technology & Engineering |
ISBN | : 0486797376 |
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.