有限单元法导论PDF电子书下载

Chapter 1 Introduction 1

1.1 Some Basic Concepts 1

1.2 Review of Matrix Algebra 6

1.3 Spring Element 11

1.4 Summary 19

1.5 Problems 20

Chapter 2 Bar and Beam Elements 21

2.1 Linear Static Analysis 21

2.2 Bar Element 21

2.3 Beam Element 40

2.4 Summary 56

2.5 Problems 56

Chapter 3 Two-Dimensional Elasticity Problems 59

3.1 Stress State in Structures 59

3.2 2-D(Plane)Elasticity Problems 60

3.3 Finite Elements for 2-D Problems 64

3.4 Summary 81

3.5 Problems 81

Chapter 4 Modeling and Solution Techniques 84

4.1 Symmetry 84

4.2 Substructures(Superelements) 86

4.3 Equation Solving 87

4.4 Nature of Finite Element Solutions 90

4.5 Convergence of FEA Solutions 91

4.6 Adaptivity(h-,p-,and hp-Methods) 92

4.7 Summary 93

4.8 Problems 93

Chapter 5 Plate and Shell Elements 95

5.1 Plate Theory 96

5.2 Plate Elements&i 1

5.3 Shells and Shell Elements 104

5.4 Summary 109

5.5 Problems 110

Chapter 6 Three-Dimensional Elasticity Problems 112

6.1 3-D Elasticity Theory 112

6.2 Finite Element Formulation 115

6.3 Typical 3-D Solid Elements 117

6.4 Solids of Revolution(Axisymmetric Analysis) 122

6.5 Summary 126

6.6 Problems 127

Chapter 7 Structural Vibration and Dynamics 129

7.1 Basic Equations 129

7.2 Free Vibration of Multiple DOF Systems 135

7.3 Damping 137

7.4 Modal Equations 138

7.5 Frequency Response Analysis 140

7.6 Transient Response Analysis 141

7.7 Summary 147

7.8 Problems 148

Chapter 8 Thermal Analysis 149

8.1 Temperature Field 149

8.2 Thermal Stress Analysis 151

8.3 Summary 157

8.4 Problems 157

References 159