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

Vujanovic, Bozidar D.; Atanackovic, Teodor M.

Hardcover

ISBN 10: 0817633995 ISBN 13: 9780817633998

Publisher: Birkhäuser, 2003

Synopsis

* Atanackovic has good track record with Birkhauser: his "Theory of Elasticity" book (4072-X) has been well reviewed. 

* Current text has received two excellent pre-pub reviews. 

* May be used as textbook in advanced undergrad/beginning grad advanced dynamics courses in engineering, physics, applied math departments. 

*Also useful as self-study reference for researchers and practitioners. 

* Many examples and novel applications throughout.  Competitive literature---Meirovich, Goldstein---is outdated and does not include the synthesis of topics presented here.

About this title

Review

"[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

 

Synopsis

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.

Edition details

• Publisher: Birkhäuser
• Publication date: 2003
• Language: English
• ISBN 10: 0817633995
• ISBN 13: 9780817633998
• Binding: Hardcover
• Number of pages: 346