书籍 有限单元法导论的封面

有限单元法导论PDF电子书下载

刘轶军著

购买点数

9

出版社

北京:清华大学出版社

出版时间

2009

ISBN

9787302195894

标注页数

159 页

PDF页数

171 页

书籍介绍
本书共8章,第1章介绍有限单元法的基本原理;第2至6章分别讲述了杆、梁、板、壳以及一般三维物体结构的有限单元法,其中讨论了应用有限单元法的各种模拟技术问题;第7章是对结构振动以及动力分析的有限单元法的简介;第8章介绍了有限单元法对结构进行热分析的基础知识,各章后附有利用有限元方法软件的练习题,书后的参考文献列出来读者进一步深入学习的书目。

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图书目录

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

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