桥梁结构有限元分析理论及方法

Chapter 1 Introduction

1.1 Overview

1.2 History of FEM

1.3 Engineering Application of FE Method

1.3.1 Linear Elastic FE

I.3.2 Non-Iinear Elastic FE

1.3.3 Analysis Procedure of FE Method

1.3.4 Engineering Applications of FEM

Chapter 2 FE Analysis for Structural System Composed of Bar

2.1 Local FE Analysis

2.I.1 Tension/Strut Bar Elements

2.1.2 Torsional Bar Elements

2.1.3 General Plane Bar Member Element

2.1.4 Space Bar Member Element

2.1.5 Natures of Space Stiffness Matrix

2.2 Integral Analysis for Structural System Composed of Bar

2.2.1 Matrix for Plane Coordinates Transformation

2.2.2 Matrix for Space Coordinates Transformation

2.2.3 Integral Analysis of Structural System Composed of Bar

2.3 Load Equivalence

2.3.1 Processing Non-joint Load

2.3.2 Processing Boundary Conditions

Chapter 3 FE Analysis for Beam Structures

3.1 Local Element Analysis

3.1.1 Analysis of Plane Beam Element

3.1.2 Analysis of Space Beam Element

3.2 Structure Analysis

3.3 Load Equivalence

Chapter 4 FE Analysis of Plate Shell Structure

4.I Elastic Sheet Theory

4.1.I Basic Assumption

4.1.2 Geometric Equation

4.1.3 Physical Equation

4.2 Triangular Element Displacement Method

4.2.1 Displacement Mode

4.2.2 Element Analysis

4.3 Rectangular Element Displacement Method

4.3.1 Joint Displacement and Joint Force

4.3.2 Displacement Mode

4.3.3 Stress Analysis

4.3.4 Element Stiffness Matrix

4.3.5 Calculation of Equivalent Joint Loads

4.4 Hybrid Method for Triangular Elements

4.4.I Basic Unknown Quantities

4.4.2 Displacement Mode

4.4.3 Internal Force Mode

4.4.4 Deduction of Sub-matrix Kvw

4.4.5 Deduction of Sub-matrix Kvm

4.4.6 Deduction of Sub-matrix Kom

4.4.7 Equivalent Joint Load

4.5 Rectangular Element Hybrid Method

4.5.1 Basic Unknown Quantity

4.5.2 Displacement Mode and Intemal Force Mode

4.5.3 Element Matrix

4.5.4 Equivalent Joint Loads

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

Chapter 5 3D Structure FE Analysis

Chapter 6 Structural Stabdity Analysis

Chapter 7 Structural Dynamic Analysis

Chapter 8 Introduction to FE Computation Software

This book makes a detailed narration about theories and methods of bar structure ， beam structure， shell structure and 3D structure beyond the limit of former similar books. Besides， it also makes a brief introduction of major methods for bridge structure stability analysis and dynamic analysis and lists a range of software for finite element and its engineering examples. In this way， reader can get to know finite element method from the angle of fundamental and problems and then combine theories and methods with engineering examples to solve practical problems.
　　This book is a textbook mainly for overseas students， domestic undergraduates and graduates majoring in engineering type ， and can also be considered as a reference book for engineering technicians.