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Analytical Dynamics

Analytical Dynamics

Analytical Dynamics

A New Approach
Firdaus E. Udwadia, University of Southern California
Robert E. Kalaba, University of Southern California
April 2011
This ISBN is for an eBook version which is distributed on our behalf by a third party.
Adobe eBook Reader
9780511887673

    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.

    • A new accessible approach to classical mechanics
    • Clearly written, easy to follow
    • Important applications in manufacturing and design

    Product details

    April 2011
    Adobe eBook Reader
    9780511887673
    0 pages
    0kg
    41 b/w illus.
    This ISBN is for an eBook version which is distributed on our behalf by a third party.

    Table of Contents

    • Preface
    • 1. Introduction
    • 2. Matrix algebra
    • 3. The fundamental equation
    • 4. Further applications
    • 5. Elements of Lagrangian mechanics
    • 6. The fundamental equation in generalized coordinates
    • 7. Gauss's principle revisited
    • 8. Connections among different approaches
    • References
    • Afterword
    • Index.
      Authors
    • Firdaus E. Udwadia , University of Southern California
    • Robert E. Kalaba , University of Southern California