# Energy Principles and Variational Methods in Applied Mechanics

John Wiley & Sons, Aug 9, 2002 - Science - 592 pages
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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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One of the very useful and well-organised books with mathematical concepts for those who wish to specialize in the field of mechanics

### Contents

 INTRODUCTION 1 48 7 MATHEMATICAL PRELIMINARIES 8 Exercises41 41 References47 47 WORK ENERGY AND VARIATIONAL CALCULUS 79 ENERGY PRINCIPLES OF STRUCTURAL MECHANICS 133 HAMILTONS PRINCIPLE 177
 DIRECT VARIATIONAL METHODS 204 References 297 THE FINITE ELEMENT METHOD 433 References499 499 References 542 ANSWERSSOLUTIONS TO SELECTED PROBLEMS 544 INDEX 583 Copyright