An Introduction to Modern Variational Techniques in Mechanics and Engineering

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