An Introduction to Modern Variational Techniques in Mechanics and Engineering

Authors: Vujanovic, Bozidar D., Atanackovic, Teodor M.

Buy this book

eBook $89.00
price for USA (gross)
  • ISBN 978-0-8176-8162-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $115.00
price for USA
  • ISBN 978-0-8176-3399-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $115.00
price for USA
  • ISBN 978-1-4612-6467-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

This book is devoted to the basic variational principles of mechanics: the Lagrange-D'Alembert differential variational principle and the Hamilton integral variational principle. These two variational principles form the main subject of contemporary analytical mechanics, and from them the whole colossal corpus of classical dynamics can be deductively derived as a part of physical theory. In recent years students and researchers of engineering and physics have begun to realize the utility of variational principles and the vast possi­ bilities that they offer, and have applied them as a powerful tool for the study of linear and nonlinear problems in conservative and nonconservative dynamical systems. The present book has evolved from a series of lectures to graduate stu­ dents and researchers in engineering given by the authors at the Depart­ ment of Mechanics at the University of Novi Sad Serbia, and numerous foreign universities. The objective of the authors has been to acquaint the reader with the wide possibilities to apply variational principles in numerous problems of contemporary analytical mechanics, for example, the Noether theory for finding conservation laws of conservative and nonconservative dynamical systems, application of the Hamilton-Jacobi method and the field method suitable for nonconservative dynamical systems,the variational approach to the modern optimal control theory, the application of variational methods to stability and determining the optimal shape in the elastic rod theory, among others.

Reviews

"[The book has] many examples and applications throughout the chapters.... It is intended to be only a suggestive exposition for graduate and senior undergraduate students in engineering, applied mathematics and physics.... The book should be useful for students in these quoted areas and those people with some knowledge in single-integral variational problems." —Mathematical Reviews

"Variational principles have great utility in solving problems in analytical mechanics. During recent years attention has been drawn to the wide area of possibilities they offer and variational techniques are applied as important tools for studying linear and nonlinear problems in conservative and nonconservative dynamical systems. This book discusses the basic variational principles of contemporary analytical mechanics, presents a wide range of possibilities for applying them, and solves numerous concrete examples.… The book is suitable for self-study, for graduate students in applied mathematics, physics, engineering, it can be used as a text in graduate and senior undergraduate courses, and researchers also can have a practical usage of it." —Bulletin of Belgian Mathematical Society

 


Table of contents (8 chapters)

  • The Elements of Analytical Mechanics Expressed Using the Lagrange-D’Alembert Differential Variational Principle

    Vujanovic, B. D. (et al.)

    Pages 3-71

  • The Hamilton-Jacobi Method of Integration of Canonical Equations

    Vujanovic, B. D. (et al.)

    Pages 73-129

  • Transformation Properties of the Lagrange— D’Alembert Variational Principle: Conservation Laws of Nonconservative Dynamical Systems

    Vujanovic, B. D. (et al.)

    Pages 131-158

  • A Field Method Suitable for Application in Conservative and Nonconservative Mechanics

    Vujanovic, B. D. (et al.)

    Pages 159-194

  • The Hamiltonian Variational Principle and Its Applications

    Vujanovic, B. D. (et al.)

    Pages 197-213

Buy this book

eBook $89.00
price for USA (gross)
  • ISBN 978-0-8176-8162-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $115.00
price for USA
  • ISBN 978-0-8176-3399-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $115.00
price for USA
  • ISBN 978-1-4612-6467-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
An Introduction to Modern Variational Techniques in Mechanics and Engineering
Authors
Copyright
2004
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-0-8176-8162-3
DOI
10.1007/978-0-8176-8162-3
Hardcover ISBN
978-0-8176-3399-8
Softcover ISBN
978-1-4612-6467-5
Edition Number
1
Number of Pages
X, 346
Topics