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有限單元法:基本原理及其在土木.水利.機械和航天工程中的應用 版權信息
- ISBN：9787302542650
- 條形碼：9787302542650 ; 978-7-302-54265-0
- 裝幀：一般膠版紙
- 冊數：暫無
- 重量：暫無
- 所屬分類：>
有限單元法:基本原理及其在土木.水利.機械和航天工程中的應用 本書特色
本書概念清楚，易學易懂；內容豐富，包含了有限元法的基本原理，計算方法和工程應用；應用范圍廣泛，土木、水利、機械、航空、力學等專業都可應用。 有限單元法是解決復雜工程問題*有效的計算方法，本書系統地闡明了有限單元法的基本原理和計算方法，闡明了如何用它解決實際工程問題。
有限單元法:基本原理及其在土木.水利.機械和航天工程中的應用 內容簡介
本書系統地闡述了有限單元法的基本原理及其在工程問題中的應用，包括彈性力學平面問題和空間問題、薄板、薄殼、厚板、厚殼、彈性穩定、塑性力學、大位移、斷裂、動力反應、徐變、巖土力學、混凝土與鋼筋混凝土、流體力學、熱傳導、工程反分析、仿真計算、網絡自動生成、誤差估計及自適應技術。該書內容豐富、取材新穎，概念清晰，可供土木、水利、機械、航空、力學專業的設計、科研人員使用，并可用做高等院校有關專業的教材。
有限單元法:基本原理及其在土木.水利.機械和航天工程中的應用 目錄
Preface
About the Author
1 Introduction to Finite Element Method and Matrix Analysis of Truss
1．1 Introduction to Finite Element Method
1．2 Truss Analysis Overview
1．3 Stiffness Matrix of Horizontal Bar Element
1．4 Stiffness Matrix oflnclined Bar Element
1．5 Coordinate Transformation
1．6 Nodal Equilibrium Equation and Global Stiffness Matrix
1．7 Treatment ofBoundary Conditions
Bibliography
2 Plane Problems in Theory of Elasticity
2．1 Discretization ofContinuous Medium
2．2 DisplacementFunction
2．3 Element Strain
2．4 InitiaIStrain
2．5 ElementStress
2．5．1Isotropic Body： Plane Stress
2．5．2Isotropic Body： Plane Strain
2．5．3 AnisotropicBody
2．6 Equivalent Nodal Force and Element Stiffness Matrix
2．7 NodalLoads
2．7．1 Equivalent Nodal Loads of Distributed Boundary Forces
2．7．2 Nodal Loads ofUniform Volume Force
2．7．3 Nodal Loads Due to Potential ofVolume Force
2．7．4 Nodal Loads Caused by Initial Strain
2．8 Nodal Equilibrium Equation and Global Stiffness Matrix
2．9 Establish the Global Stiffness Matrix by the Coding Method
2．10 Calculation Example
2．10．1 Stress Concentration near the Circular Hole
2．10．2Stress Analysis ofl Beam with a Hole in Web
2．10．3 Stress Analysis ofthe Concrete Gravity Dam
Bibliography
3 ElementAnalysis
3．1 Principle ofVirtual Displacement
3．2 ElementDisplacement
3．3 Element Strain and Stress
3．4 Nodal Force and Element Stiffness Matrix
3．5 NodaILoad
3．5．1 Distributed Volume Force
3．5．2 Distributed Surface Force
3．5．3 Initial Strain and Initial Stress
3．6 Application Examples of the Principle of Virtual Displacements： Beam Element
3．7 Strain Energy and Complementary Strain Energy
3．8 Principle ofMinimum PotentiaIEnergy
3．9 Minimum Complementary Energy Principle
3．10 Hybrid Element
3．11 Hybrid Element Example： Plane Rectangular Element
3．12 Mixed Energy Principle
3．13 Composite Element
Bibliography
4 GlobaI Analysis
4．1 Nodal Equilibrium Equation
4．2 Application of the Principle of Minimum Potential Energy
4．3 The Low Limit Property ofthe Solution of Minimum Potential Energy
4．4 The Convergence of Solutions
4．5 Analysis of the Substructure
4．5．1 Multiple Substructures
4．5．2 Condensation of the Internal Degrees of Freedom of Substructures
4．5．3 Coordinate Transformatio'n
Bibliography
5 High-Order Element of Plane Problem
5．1 RectangularElements
5．2 Area Coordinates
5．3 High-Order Triangular Element
5．3．16-Node Quadratic Triangular Element
5．3．2 10-Node 3-Order Triangular Element
5．3．3 3-Node 18 DOF Triangular Element
Bibliography
6 Axisymmetrical Problems in Theory of Elasticity
6．1 Stresses Due to AxisymmetricaI Loads
6．1．1 Displacement Function
……
7 Spatial Problems in Theory of Elasticity
8 Shape Function， Coordinate Transformation，Isoparametric Element，and lnfinite Element
9 Comparison and Application Instances of Various Planar and SpatiaI Elements
10 Elastic Thin Plate
……
26 Back Analysis of Engineering
27 Automatic Mesh Generation， Error Estimation， and Auto-adaptation Technique
28 Matrix
29 Linear Algebraic Equation Set
30 VariationaI Method
31 Weighted ResiduaI Method
Appendix A
Appendix B
Index
About the Author
1 Introduction to Finite Element Method and Matrix Analysis of Truss
1．1 Introduction to Finite Element Method
1．2 Truss Analysis Overview
1．3 Stiffness Matrix of Horizontal Bar Element
1．4 Stiffness Matrix oflnclined Bar Element
1．5 Coordinate Transformation
1．6 Nodal Equilibrium Equation and Global Stiffness Matrix
1．7 Treatment ofBoundary Conditions
Bibliography
2 Plane Problems in Theory of Elasticity
2．1 Discretization ofContinuous Medium
2．2 DisplacementFunction
2．3 Element Strain
2．4 InitiaIStrain
2．5 ElementStress
2．5．1Isotropic Body： Plane Stress
2．5．2Isotropic Body： Plane Strain
2．5．3 AnisotropicBody
2．6 Equivalent Nodal Force and Element Stiffness Matrix
2．7 NodalLoads
2．7．1 Equivalent Nodal Loads of Distributed Boundary Forces
2．7．2 Nodal Loads ofUniform Volume Force
2．7．3 Nodal Loads Due to Potential ofVolume Force
2．7．4 Nodal Loads Caused by Initial Strain
2．8 Nodal Equilibrium Equation and Global Stiffness Matrix
2．9 Establish the Global Stiffness Matrix by the Coding Method
2．10 Calculation Example
2．10．1 Stress Concentration near the Circular Hole
2．10．2Stress Analysis ofl Beam with a Hole in Web
2．10．3 Stress Analysis ofthe Concrete Gravity Dam
Bibliography
3 ElementAnalysis
3．1 Principle ofVirtual Displacement
3．2 ElementDisplacement
3．3 Element Strain and Stress
3．4 Nodal Force and Element Stiffness Matrix
3．5 NodaILoad
3．5．1 Distributed Volume Force
3．5．2 Distributed Surface Force
3．5．3 Initial Strain and Initial Stress
3．6 Application Examples of the Principle of Virtual Displacements： Beam Element
3．7 Strain Energy and Complementary Strain Energy
3．8 Principle ofMinimum PotentiaIEnergy
3．9 Minimum Complementary Energy Principle
3．10 Hybrid Element
3．11 Hybrid Element Example： Plane Rectangular Element
3．12 Mixed Energy Principle
3．13 Composite Element
Bibliography
4 GlobaI Analysis
4．1 Nodal Equilibrium Equation
4．2 Application of the Principle of Minimum Potential Energy
4．3 The Low Limit Property ofthe Solution of Minimum Potential Energy
4．4 The Convergence of Solutions
4．5 Analysis of the Substructure
4．5．1 Multiple Substructures
4．5．2 Condensation of the Internal Degrees of Freedom of Substructures
4．5．3 Coordinate Transformatio'n
Bibliography
5 High-Order Element of Plane Problem
5．1 RectangularElements
5．2 Area Coordinates
5．3 High-Order Triangular Element
5．3．16-Node Quadratic Triangular Element
5．3．2 10-Node 3-Order Triangular Element
5．3．3 3-Node 18 DOF Triangular Element
Bibliography
6 Axisymmetrical Problems in Theory of Elasticity
6．1 Stresses Due to AxisymmetricaI Loads
6．1．1 Displacement Function
……
7 Spatial Problems in Theory of Elasticity
8 Shape Function， Coordinate Transformation，Isoparametric Element，and lnfinite Element
9 Comparison and Application Instances of Various Planar and SpatiaI Elements
10 Elastic Thin Plate
……
26 Back Analysis of Engineering
27 Automatic Mesh Generation， Error Estimation， and Auto-adaptation Technique
28 Matrix
29 Linear Algebraic Equation Set
30 VariationaI Method
31 Weighted ResiduaI Method
Appendix A
Appendix B
Index
展開全部
有限單元法:基本原理及其在土木.水利.機械和航天工程中的應用 作者簡介
朱伯芳，中國工程院院士，1951年畢業于上海交通大學土木系后，參加我國首批三座大壩設計，1957年調至中國水科院，1995年當選院士，發表論文210篇出版著作10本，曾獲國家自然科學獎1項，國家科技進步獎2項。國際大壩會議獎1項，部獎8項，建立了混凝土溫度應力，拱壩優化等新學科。首次把有限元引入混凝土溫度應力和水壩仿真計算。
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