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Analytical Dynamics of Discrete Systems

  • Book
  • © 1977

Overview

Authors:
  1. Reinhardt M. Rosenberg

    1. University of California, Berkeley, USA

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Table of contents (21 chapters)

  1. Front Matter

    Pages N1-xvii
    Download chapter PDF

  2. Introduction

    • Reinhardt M. Rosenberg
    Pages 1-5

  3. Dynamical Systems

    • Reinhardt M. Rosenberg
    Pages 7-18

  4. Representations of the Motion

    • Reinhardt M. Rosenberg
    Pages 19-28

  5. Constraints

    • Reinhardt M. Rosenberg
    Pages 29-53

  6. The Strictly Newtonian Mechanics Problem

    • Reinhardt M. Rosenberg
    Pages 55-60

  7. Some Rigid Body Kinematics

    • Reinhardt M. Rosenberg
    Pages 61-85

  8. Some Rigid Body Kinetics

    • Reinhardt M. Rosenberg
    Pages 87-114

  9. The Nature of Lagrangean Mechanics

    • Reinhardt M. Rosenberg
    Pages 115-117

  10. Virtual Displacement and Virtual Work

    • Reinhardt M. Rosenberg
    Pages 119-159

  11. Hamilton’s Principle

    • Reinhardt M. Rosenberg
    Pages 161-184

  12. Generalized Coordinates

    • Reinhardt M. Rosenberg
    Pages 185-200

  13. The Fundamental Equation in Generalized Coordinates

    • Reinhardt M. Rosenberg
    Pages 201-210

  14. Lagrange’s Equations

    • Reinhardt M. Rosenberg
    Pages 211-238

  15. Embedding Constraints

    • Reinhardt M. Rosenberg
    Pages 239-246

  16. Formulating Problems by Lagrange’s Equations

    • Reinhardt M. Rosenberg
    Pages 247-272

  17. The Integration

    • Reinhardt M. Rosenberg
    Pages 273-299

  18. Stability

    • Reinhardt M. Rosenberg
    Pages 301-321

  19. Applications

    • Reinhardt M. Rosenberg
    Pages 323-347

  20. About Celestial Problems

    • Reinhardt M. Rosenberg
    Pages 349-371
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About this book

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).

Authors and Affiliations

  • University of California, Berkeley, USA

    Reinhardt M. Rosenberg

Bibliographic Information

  • Book Title: Analytical Dynamics of Discrete Systems

  • Authors: Reinhardt M. Rosenberg

  • Series Title: Mathematical Concepts and Methods in Science and Engineering

  • DOI: https://doi.org/10.1007/978-1-4684-8318-5

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1977

  • Softcover ISBN: 978-1-4684-8320-8Published: 11 December 2012

  • eBook ISBN: 978-1-4684-8318-5Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XVIII, 426

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Analysis

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