An Introduction to Modern Variational Techniques in Mechanics and Engineering - Brossura

Vujanovic, Bozidar D.; Atanackovic, Teodor M.

Brossura

ISBN 10: 1461264677 ISBN 13: 9781461264675

Casa editrice: Birkhäuser, 2012

Riassunto

This book is devoted to the basic variational principles of mechanics, namely the Lagrange-D’Alembert differential variational principle and the Hamilton integral variational principle. These two variational principles form the basis of contemporary analytical mechanics, and from them the body of classical dynamics can be deductively derived as a part of physical theory.

"An Introduction to Modern Variational Techniques in Mechanics and Engineering" will serve a broad audience of students, researchers, and professionals in analytical mechanics, applied variational calculus, optimal control, physics, and mechanical and aerospace engineering. The book may be used in graduate and senior undergraduate dynamics courses in engineering, applied mathematics, and physics departments, or it may also serve as a self-study reference text.

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Recensione

"[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

 

Contenuti

Preface Part I: Differential Variational Principles of Mechanics The Elements of Analytical Mechanics Expressed Using the Lagrange-D'Alembert Differential Variational Principle The Hamilton-Jacobi Method of Integration of Canonical Equations Transformation Properties of Lagrange D'Alembert Variational Principle: Conservation Laws of Nonconservative Dynamical Systems A Field Method Suitable for Application in Conservative and Nonconservative Mechanics Part II: The Hamiltonian Integral Variational Principle The Hamiltonian Variational Principle and Its Applications Variable End Points, Natural Boundary Conditions, Bolza Problems Constrained Problems Variational Principles for Elastic Rods and Columns Bibliography Index

Dettagli dell'edizione

• Editore: Birkhäuser
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 1461264677
• ISBN 13: 9781461264675
• Rilegatura: Copertina flessibile
• Numero di pagine: 360
• Contatto del produttore: non disponibile
• Persona responsabile: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3,69115 Heidelberg, Germany; Heidelberg; 69115; Germania