Energy principles and variational methods in applied mechanics
Junuthula Narasimha Reddy
Abstract
Junuthula Narasimha Reddy
Abstract
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
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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
Key concepts: Calculus of variations, Variational integrator, Hamilton's principle, Variational principle, Calculus (dental), Mathematics, Work (physics), Finite element method