An Introduction to Modern Variational Techniques in Mechanics and Engineering

ISBN-13: 9781461264675 / Angielski / Miękka / 2012 / 346 str.

Bozidar D. Vujanovic; Teodor M. Atanackovic; Bozidar D. Vujanovic

Opis

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 Competitive literature---Meirovich, Goldstein---is outdated and does not include the synthesis of topics presented here.

Recenzje

"[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

 

Spis treści

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