An Introduction to Modern Variational Techniques in Mechanics and Engineering
By: by B. D. Vujanovic, T. M. Atanackovic
Contributors: Atanackovic, T. M.
Publisher: Birkhäuser Boston; Imprint: Birkhäuser
Published: 2004
Place of publication: Boston, MA
Language: eng
Format: [electronic resource] /
Number of pages: 346
ISBN-13: 9781461264675; 9780817681623
Subjects: Mechanics; Engineering; Engineering mathematics; Mechanical engineering; Applied Mechanics; Mathematical optimization
Description: 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.
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Table of contents: title: 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; title: 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; title: Bibliography; title: Index.