桥梁结构有限元分析理论及方法 英文PDF电子书下载

Chapter 1 Introduction 1

1.1 Overview 1

1.2 History of FEM 2

1.3 Engineering Application of FE Method 5

1.3.1 Linear Elastic FE 5

1.3.2 Non-linear Elastic FE 5

1.3.3 Analysis Procedure of FE Method 6

1.3.4 Engineering Applications of FEM 8

Chapter 2 FE Analysis for Structural System Composed of Bar 9

2.1 Local FE Analysis 11

2.1.1 Tension/Strut Bar Elements 12

2.1.2 Torsional Bar Elements 14

2.1.3 General Plane Bar Member Element 15

2.1.4 Space Bar Member Element 17

2.1.5 Natures of Space Stiffness Matrix 20

2.2 Integral Analysis for Structural System Composed of Bar 21

2.2.1 Matrix for Plane Coordinates Transformation 21

2.2.2 Matrix for Space Coordinates Transformation 24

2.2.3 Integral Analysis of Structural System Composed of Bar 26

2.3 Load Equivalence 34

2.3.1 Processing Non-joint Load 34

2.3.2 Processing Boundary Conditions 36

Chapter 3 FE Analysis for Beam Structures 39

3.1 Local Element Analysis 39

3.1.1 Analysis of Plane Beam Element 39

3.1.2 Analysis of Space Beam Element 42

3.2 Structure Analysis 47

3.3 Load Equivalence 52

Chapter 4 FE Analysis of Plate Shell Structure 54

4.1 Elastic Sheet Theory 54

4.1.1 Basic Assumption 55

4.1.2 Geometric Equation 56

4.1.3 Physical Equation 56

4.2 Triangular Element Displacement Method 59

4.2.1 Displacement Mode 59

4.2.2 Element Analysis 64

4.3 Rectangular Element Displacement Method 68

4.3.1 Joint Displacement and Joint Force 68

4.3.2 Displacement Mode 69

4.3.3 Stress Analysis 72

4.3.4 Element Stiffness Matrix 74

4.3.5 Calculation of Equivalent Joint Loads 75

4.4 Hybrid Method for Triangular Elements 75

4.4.1 Basic Unknown Quantities 76

4.4.2 Displacement Mode 78

4.4.3 Internal Force Mode 78

4.4.4 Deduction of Sub-matrix KVw 79

4.4.5 Deduction of Sub-matrix KVM 79

4.4.6 Deduction of Sub-matrix KθM 80

4.4.7 Equivalent Joint Load 81

4.5 Rectangular Element Hybrid Method 82

4.5.1 Basic Unknown Quantity 82

4.5.2 Displacement Mode and Internal Force Mode 83

4.5.3 Element Matrix 86

4.5.4 Equivalent Joint Loads 90

4.6 Edge-curved Flat-plate Bending Element with Consideration of Transverse Shear Influence 91

Chapter 5 3D Structure FE Analysis 97

5.1 Space Axially Symmetrical Problems 97

5.2 Tetrahedron Element 100

5.2.1 Volume Coordinates 101

5.2.2 Second-order Tetrahedron Element 103

5.2.3 Third-order Tetrahedron Element 104

5.2.4 48-Degree-of-Freedom Tetrahedron Element 104

5.3 Hexahedron Element 105

5.3.1 8-Joint Hexahedron Element 105

5.3.2 20-Joint Hexahedron Element 108

5.3.3 32-Joint Hexahedron Element 109

Chapter 6 Structural Stability Analysis 111

6.1 Overview 111

6.1.1 Classification of Stability Problems 112

6.1.2 Criteria for Stability of Equilibrium 114

6.2 Stability Analysis to Structural System Composed of Bar 115

6.2.1 Bending Stability of Centric Strut Bar Member 116

6.2.2 Bending Stability of Compression Bending Bar Members 124

6.2.3 Integral Stability Analysis of Structural System Composed of Bar 127

6.3 Stability Analysis to Plate Structure 130

6.3.1 Elastic Warpage of Plate 130

6.3.2 Elasto-plastic Warpage of Plate 133

6.3.3 FEM of Plate Warpage Analysis 136

Chapter 7 Structural Dynamic Analysis 138

7.1 Natural Vibration Characteristic Analysis 138

7.2 Seismic Reaction Analysis 139

7.2.1 Reaction Spectrum Analysis 140

7.2.2 Time History Analysis 141

Chapter 8 Introduction to FE Computation Software 143

8.1 Dr.Bridge FE Computation Program 143

8.1.1 Introduction 143

8.1.2 Engineering Examples 144

8.2 GQJS FE Computation Program 147

8.2.1 Introduction 147

8.2.2 Engineering Examples 148

8.3 MIDAS FE Computation Program 155

8.3.1 Introduction 155

8.3.2 Engineering Examples 156

8.4 Ansys FE Computation Program 160

8.4.1 Introduction 160

8.4.2 Engineering Examples 161

8.5 Introduction to SAP2000 FE Computation Program 167

8.6 Introduction to TDV FE Computation Program 168

References 170