桥梁结构有限元分析理论及方法 英文2025|PDF|Epub|mobi|kindle电子书版本百度云盘下载

桥梁结构有限元分析理论及方法 英文PDF格式电子书版下载

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Chapter 1 Introduction1

1.1 Overview1

1.2 History of FEM2

1.3 Engineering Application of FE Method5

1.3.1 Linear Elastic FE5

1.3.2 Non-linear Elastic FE5

1.3.3 Analysis Procedure of FE Method6

1.3.4 Engineering Applications of FEM8

Chapter 2 FE Analysis for Structural System Composed of Bar9

2.1 Local FE Analysis11

2.1.1 Tension/Strut Bar Elements12

2.1.2 Torsional Bar Elements14

2.1.3 General Plane Bar Member Element15

2.1.4 Space Bar Member Element17

2.1.5 Natures of Space Stiffness Matrix20

2.2 Integral Analysis for Structural System Composed of Bar21

2.2.1 Matrix for Plane Coordinates Transformation21

2.2.2 Matrix for Space Coordinates Transformation24

2.2.3 Integral Analysis of Structural System Composed of Bar26

2.3 Load Equivalence34

2.3.1 Processing Non-joint Load34

2.3.2 Processing Boundary Conditions36

Chapter 3 FE Analysis for Beam Structures39

3.1 Local Element Analysis39

3.1.1 Analysis of Plane Beam Element39

3.1.2 Analysis of Space Beam Element42

3.2 Structure Analysis47

3.3 Load Equivalence52

Chapter 4 FE Analysis of Plate Shell Structure54

4.1 Elastic Sheet Theory54

4.1.1 Basic Assumption55

4.1.2 Geometric Equation56

4.1.3 Physical Equation56

4.2 Triangular Element Displacement Method59

4.2.1 Displacement Mode59

4.2.2 Element Analysis64

4.3 Rectangular Element Displacement Method68

4.3.1 Joint Displacement and Joint Force68

4.3.2 Displacement Mode69

4.3.3 Stress Analysis72

4.3.4 Element Stiffness Matrix74

4.3.5 Calculation of Equivalent Joint Loads75

4.4 Hybrid Method for Triangular Elements75

4.4.1 Basic Unknown Quantities76

4.4.2 Displacement Mode78

4.4.3 Internal Force Mode78

4.4.4 Deduction of Sub-matrix KVw79

4.4.5 Deduction of Sub-matrix KVM79

4.4.6 Deduction of Sub-matrix KθM80

4.4.7 Equivalent Joint Load81

4.5 Rectangular Element Hybrid Method82

4.5.1 Basic Unknown Quantity82

4.5.2 Displacement Mode and Internal Force Mode83

4.5.3 Element Matrix86

4.5.4 Equivalent Joint Loads90

4.6 Edge-curved Flat-plate Bending Element with Consideration of Transverse Shear Influence91

Chapter 5 3D Structure FE Analysis97

5.1 Space Axially Symmetrical Problems97

5.2 Tetrahedron Element100

5.2.1 Volume Coordinates101

5.2.2 Second-order Tetrahedron Element103

5.2.3 Third-order Tetrahedron Element104

5.2.4 48-Degree-of-Freedom Tetrahedron Element104

5.3 Hexahedron Element105

5.3.1 8-Joint Hexahedron Element105

5.3.2 20-Joint Hexahedron Element108

5.3.3 32-Joint Hexahedron Element109

Chapter 6 Structural Stability Analysis111

6.1 Overview111

6.1.1 Classification of Stability Problems112

6.1.2 Criteria for Stability of Equilibrium114

6.2 Stability Analysis to Structural System Composed of Bar115

6.2.1 Bending Stability of Centric Strut Bar Member116

6.2.2 Bending Stability of Compression Bending Bar Members124

6.2.3 Integral Stability Analysis of Structural System Composed of Bar127

6.3 Stability Analysis to Plate Structure130

6.3.1 Elastic Warpage of Plate130

6.3.2 Elasto-plastic Warpage of Plate133

6.3.3 FEM of Plate Warpage Analysis136

Chapter 7 Structural Dynamic Analysis138

7.1 Natural Vibration Characteristic Analysis138

7.2 Seismic Reaction Analysis139

7.2.1 Reaction Spectrum Analysis140

7.2.2 Time History Analysis141

Chapter 8 Introduction to FE Computation Software143

8.1 Dr.Bridge FE Computation Program143

8.1.1 Introduction143

8.1.2 Engineering Examples144

8.2 GQJS FE Computation Program147

8.2.1 Introduction147

8.2.2 Engineering Examples148

8.3 MIDAS FE Computation Program155

8.3.1 Introduction155

8.3.2 Engineering Examples156

8.4 Ansys FE Computation Program160

8.4.1 Introduction160

8.4.2 Engineering Examples161

8.5 Introduction to SAP2000 FE Computation Program167

8.6 Introduction to TDV FE Computation Program168

References170