An introduction to modern variational techniques in mechanics and engineering
著者
書誌事項
An introduction to modern variational techniques in mechanics and engineering
Birkhäuser, c2004
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注記
Includes bibliographical references (p. [333]-341) and index
内容説明・目次
内容説明
* 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 Competitive literature---Meirovich, Goldstein---is outdated and does not include the synthesis of topics presented here.
目次
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
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