An Introduction to Modern Variational Techniques in Mechanics and Engineering

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March 28, 2025 | History

An Introduction to Modern Variational Techniques in Mechanics and Engineering

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. In recent years variational techniques have evolved as powerful tools for the study of linear and nonlinear problems in conservative and nonconservative dynamical systems, as is emphasized in this book.

Publish Date
Language
English
Pages
346

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Edition Availability
Cover of: An Introduction to Modern Variational Techniques in Mechanics and Engineering
An Introduction to Modern Variational Techniques in Mechanics and Engineering
2004, Birkhäuser Boston, Imprint: Birkhäuser
electronic resource / in English

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Book Details


Table of Contents

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.

Edition Notes

Online full text is restricted to subscribers.

Also available in print.

Mode of access: World Wide Web.

Published in
Boston, MA

Classifications

Dewey Decimal Class
621
Library of Congress
TJ1-1570

The Physical Object

Format
[electronic resource] /
Pagination
1 online resource (x, 346 p.)
Number of pages
346

Edition Identifiers

Open Library
OL27046969M
ISBN 10
1461264677, 0817681620
ISBN 13
9781461264675, 9780817681623
OCLC/WorldCat
853270527

Work Identifiers

Work ID
OL19859121W

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History

Download catalog record: RDF / JSON / OPDS | Wikipedia citation
March 28, 2025 Edited by ImportBot Redacting ocaids
February 26, 2022 Edited by ImportBot import existing book
February 26, 2022 Edited by ImportBot import existing book
July 1, 2019 Created by MARC Bot Imported from Internet Archive item record