Variational Methods and Complementary Formulations in Dynamics

  • B. Tabarrok
  • F. P. J. Rimrott

Part of the Solid Mechanics and Its Applications book series (SMIA, volume 31)

Table of contents

  1. Front Matter
    Pages i-xii
  2. B. Tabarrok, F. P. J. Rimrott
    Pages 1-65
  3. B. Tabarrok, F. P. J. Rimrott
    Pages 67-117
  4. B. Tabarrok, F. P. J. Rimrott
    Pages 119-192
  5. B. Tabarrok, F. P. J. Rimrott
    Pages 193-213
  6. B. Tabarrok, F. P. J. Rimrott
    Pages 215-250
  7. B. Tabarrok, F. P. J. Rimrott
    Pages 251-307
  8. Back Matter
    Pages 309-368

About this book

Introduction

Not many disciplines can c1aim the richness of creative ideas that make up the subject of analytical mechanics. This is not surprising since the beginnings of analyti­ cal mechanics mark also the beginnings of the theoretical treatment of other physical sciences, and contributors to analytical mechanics have been many, inc1uding the most brilliant mathematicians and theoreticians in the history of mankind. As the foundation for theoretical physics and the associated branches of the engineering sciences, an adequate command of analytical mechanics is an essential tool for any engineer, physicist, and mathematician active in dynamics. A fascinating dis­ cipline, analytical mechanics is not only indispensable for the solution of certain mechanics problems but also contributes so effectively towards a fundamental under­ standing of the subject of mechanics and its applications. In analytical mechanics the fundamental laws are expressed in terms of work done and energy exchanged. The extensive use of mathematics is a consequence of the fact that in analytical mechanics problems can be expressed by variational State­ ments, thus giving rise to the employment of variational methods. Further it can be shown that the independent variables may be either displacements or impulses, thus providing in principle the possibility of two complementary formulations, i.e. a dis­ placement formulation and an impulse formulation, for each problem. This duality is an important characteristic of mechanics problems and is given special emphasis in the present book.

Keywords

Calculus of Variations Rigid body dynamics mechanics oscillation

Authors and affiliations

  • B. Tabarrok
    • 1
  • F. P. J. Rimrott
    • 2
  1. 1.Department of Mechanical EngineeringUniversity of VictoriaVictoriaCanada
  2. 2.Department of Mechanical EngineeringUniversity of TorontoTorontoCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-015-8259-9
  • Copyright Information Springer Science+Business Media B.V. 1994
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-4422-8
  • Online ISBN 978-94-015-8259-9
  • Series Print ISSN 0925-0042
  • About this book