Introduction to Analytical Dynamics

Introduction to Analytical Dynamics
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.

Analytical Dynamics

Analytical Dynamics
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.

Analytical Dynamics

Analytical Dynamics
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.

Advanced Analytical Dynamics

Advanced Analytical Dynamics
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.

Analytical Dynamics

Analytical Dynamics
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.

Analytical System Dynamics

Analytical System Dynamics
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.

Analytical Dynamics of Discrete Systems

Analytical Dynamics of Discrete Systems
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).

Tensor Calculus and Analytical Dynamics

Tensor Calculus and Analytical Dynamics
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.

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
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.