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Energy Principles and Variational Methods in Applied Mechanics, 2nd Edition

Hardcover

$185.00

Energy Principles and Variational Methods in Applied Mechanics, 2nd Edition

J. N. Reddy

ISBN: 978-0-471-17985-6 August 2002 608 Pages

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Description

A systematic presentation of energy principles and variationalmethods

The increasing use of numerical and computational methods inengineering and applied sciences has shed new light on theimportance of energy principles and variational methods. EnergyPrinciples and Variational Methods in Applied Mechanicsprovides a systematic and practical introduction to the use ofenergy principles, traditional variational methods, and the finiteelement method to the solution of engineering problems involvingbars, beams, torsion, plane elasticity, and plates.

Beginning with a review of the basic equations of mechanics andthe concepts of work, energy, and topics from variational calculus,this book presents the virtual work and energy principles, energymethods of solid and structural mechanics, Hamilton'sprinciple for dynamical systems, and classical variational methodsof approximation. A unified approach, more general than that foundin most solid mechanics books, is used to introduce the finiteelement method. Also discussed are applications to beams andplates.

Complete with more than 200 illustrations and tables, EnergyPrinciples and Variational Methods in Applied Mechanics, SecondEdition is a valuable book for students of aerospace, civil,mechanical, and applied mechanics; and engineers in design andanalysis groups in the aircraft, automobile, and civil engineeringstructures, as well as shipbuilding industries.

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Preface xv

1 Introduction 1

2 Mathematical Preliminaries 8

3 Review Of Equations Of Solid Mechanics 48

4 Work, Energy, And Variational Calculus 79

5 Energy Principles Of Structural 133

6 Dynamical Systems: Hamilton's Principle 177

7 Direct Variational Methods 204

8 Theory And Analysis Of Plates 299

9 The Finite Element Method 433

10 Mixed Variational Formulations 502

Answers / Solutions to Selected Problems 544

Index 583

About the Author 591

This book has been completely revised and updated. Beginning with a review of mechanics and the concepts of work, energy, and topics from variational calculus, this book presents virtual work and energy principles, energy methods of solid and struc-tural mechanics, Hamilton's principle for dynamic systems, and classical variational methods of approximation. A unified approach, more general than that found in most solid mechanics books, is used to introduce the finite element method. Also discusse are applications to beams and plates.

  1. Completely revised and updated.
  2. Covers both traditional implementation of energy/variational principles as well as finite element implementation.
  3. Contains expanded problems and examples of applications.