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有限元分析——ANSYS理论与应用（第五版）（英文版）

作者: [美] Saeed Moaveni(萨伊德 · 莫维尼

出版社: 电子工业出版社

出版时间: 2021-04

版次: 1

ISBN: 9787121409967

定价: 218.00

装帧: 其他

开本: 其他

纸张: 胶版纸

页数: 1.060页

分类: 教材教辅考试>教材>大学教材>工程技术

10人买过

本书详细介绍了有限元分析的基本理论和方法，以及ANSYS软件在有限元分析中的应用。全书详细介绍了一维和二维有限元公式的推导以及实例问题的分析方法，简单阐述了三维有限元分析方法；讨论了桁架、轴力构件、梁、框架、热传递、流体流动和动力学问题的有限元分析；通过实例详细介绍了利用ANSYS进行有限元分析的基本方法和步骤。每章均先介绍相关的基本概念和有限元公式的推导过程，然后基于有限元分析方法手工求解一些简单的实例问题，进而再利用ANSYS进行问题求解。本书特别强调分析结果的验证，在一些章的章末均提出了针对不同问题的分析结果的验证方法。 Saeed Moaveni（萨伊德 · 莫维尼）博士是一位成功的作者、教师与工程专家。他于1990年加入明尼苏达州立大学机械工程部，现在是机械工程学院的院长。他是美国机械工程学会（ASME）的会员和美国工程教育学会（ASEE）的Tau Beta Pi 荣誉会员。

Saeed Moaveni博士是一位成功的作者、教师与工程专家。他于1990年加入明尼苏达州立大学机械工程部，现在是机械工程学院的院长。他是美国机械工程学会（ASME）的会员和美国工程教育学会（ASEE）的Tau Beta Pi 荣誉会员。 Contents

1 Introduction 1

1.1 Engineering Problems 2

1.2 Numerical Methods 5

1.3 A Brief History of the Finite Element Method and ANSYS 6

1.4 Basic Steps in the Finite Element Method 6

1.5 Direct Formulation 8

1.6 Minimum Total Potential Energy Formulation 37

1.7 Weighted Residual Formulations 43

1.8 Verification of Results 48

1.9 Understanding the Problem 49

Summary 54

References 54

Problems 54

2 Matrix Algebra 66

2.1 Basic Definitions 66

2.2 Matrix Addition or Subtraction 69

2.3 Matrix Multiplication 69

2.4 Partitioning of a Matrix 73

2.5 Transpose of a Matrix 77

2.6 Determinant of a Matrix 81

2.7 Solutions of Simultaneous Linear Equations 86

2.8 Inverse of a Matrix 94

2.9 Eigenvalues and Eigenvectors 98

2.10 Using MATLAB to Manipulate Matrices 102

2.11 Using Excel to Manipulate Matrices 106

2.12 Solutions of Simultaneous Nonlinear Equations 121

Summary 123

References 124

Problems 124

3 Trusses 129

3.1 Definition of a Truss 129

3.2 Finite Element Formulation 130

3.3 Space Trusses 155

3.4 Overview of the ANSYS Program 157

3.5 ANSYS Workbench Environment 165

3.6 Examples Using ANSYS 165

3.7 Verification of Results 197

Summary 199

References 199

Problems 199

4 Axial Members, Beams, and Frames 209

4.1 Members Under Axial Loading 209

4.2 Beams 217

4.3 Finite Element Formulation of Beams 222

4.4 Finite Element Formulation of Frames 238

4.5 Three-Dimensional Beam Element 244

4.6 An Example Using ANSYS 246

4.7 Verification of Results 271

Summary 273

References 274

Problems 275

5 One-Dimensional Elements 287

5.1 Linear Elements 287

5.2 Quadratic Elements 291

5.3 Cubic Elements 293

5.4 Global, Local, and Natural Coordinates 296

5.5 Isoparametric Elements 298

5.6 Numerical Integration: Gauss?CLegendre Quadrature 300

5.7 Examples of One-

Dimensional

Elements in ANSYS 305

Summary 305

References 305

Problems 305

6 Analysis of One-Dimensional Problems 312

6.1 Heat Transfer Problems 312

6.2 A Fluid Mechanics Problem 331

6.3 An Example Using ANSYS 335

6.4 Verification of Results 350

6.5 Members Under Axial Loading with Temperature Change 351

Summary 353

References 353

Problems 353

7 Two-Dimensional Elements 357

7.1 Rectangular Elements 357

7.2 Quadratic Quadrilateral Elements 361

7.3 Linear Triangular Elements 366

7.4 Quadratic Triangular Elements 371

7.5 Axisymmetric Elements 375

7.6 Isoparametric Elements 380

7.7 Two-Dimensional Integrals: Gauss?CLegendre Quadrature 383

7.8 Examples of Two-Dimensional Elements in ANSYS 384

Summary 385

References 385

Problems 386

8 More ANSYS 393

8.1 ANSYS Program 393

8.2 ANSYS Database and Files 394

8.3 Creating a Finite Element Model with ANSYS: Preprocessing 396

8.4 h-Method Versus p-Method 410

8.5 Applying Boundary Conditions, Loads, and the Solution 410

8.6 Results of Your Finite Element Model: Postprocessing 413

8.7 Selection Options 418

8.8 Graphics Capabilities 419

8.9 Error-Estimation Procedures 421

8.10 More on ANSYS Workbench Environment 422

8.11 An Example Problem 428

Summary 441

References 442

9 Analysis of Two-Dimensional Heat Transfer Problems 443

9.1 General Conduction Problems 443

9.2 Formulation with Rectangular Elements 450

9.3 Formulation with Triangular Elements 461

9.4 Axisymmetric Formulation of Three-Dimensional Problems 480

9.5 Unsteady Heat Transfer 487

9.6 Conduction Elements Used by ANSYS 497

9.7 Examples Using ANSYS 498

9.8 Verification of Results 538

Summary 538

References 540

Problems 540

10 Analysis of Two-Dimensional Solid Mechanics Problems 552

10.1 Torsion of Members with Arbitrary Cross-Section Shape 552

10.2 Plane-Stress Formulation 568

10.3 Isoparametric Formulation: Using a Quadrilateral Element 576

10.4 Axisymmetric Formulation 583

10.5 Basic Failure Theories 585

10.6 Examples Using ANSYS 586

10.7 Verification of Results 608

Summary 608

References 610

Problems 610

11 Dynamic Problems 619

11.1 Review of Dynamics 619

11.2 Review of Vibration of Mechanical and Structural Systems 633

11.3 Lagrange’s Equations 650

11.4 Finite Element Formulation of Axial Members 652

11.5 Finite Element Formulation of Beams and Frames 661

11.6 Examples Using ANSYS 675

Summary 694

References 694

Problems 694

12 Analysis of Fluid Mechanics Problems 701

12.1 Direct Formulation of Flow Through Pipes 701

12.2 Ideal Fluid Flow 713

12.3 Groundwater Flow 719

12.4 Examples Using ANSYS 722

12.5 Verification of Results 743

Summary 744

References 745

Problems 746

13 Three-Dimensional Elements 751

13.1 The Four-Node Tetrahedral Element 751

13.2 Analysis of Three-Dimensional Solid Problems Using Four-Node Tetrahedral Elements 754

13.3 The Eight-Node Brick Element 759

13.4 The Ten-Node Tetrahedral Element 761

13.5 The Twenty-Node Brick Element 762

13.6 Examples of Three-Dimensional Elements in ANSYS 764

13.7 Basic Solid-Modeling Ideas 768

13.8 A Thermal Example Using ANSYS 779

13.9 A Structural Example Using ANSYS 796

Summary 809

References 809

Problems 809

14 Design and Material Selection 818

14.1 Engineering Design Process 819

14.2 Material Selection 822

14.3 Electrical, Mechanical, and Thermophysical Properties of Materials 823

14.4 Common Solid Engineering Materials 825

14.5 Some Common Fluid Materials 832

Summary 834

References 834

Problems 834

15 Design Optimization 836

15.1 Introduction to Design Optimization 836

15.2 The Parametric Design Language of ANSYS 840

15.3 Examples of Batch Files 842

Summary 853

References 854

Problems 854

Appendix A Mechanical Properties of Some Materials 855

Appendix B Thermophysical Properties of Some Materials 859

Appendix C Properties of Common Line and Area Shapes 861

Appendix D Geometrical Properties of Structural Steel Shapes 865

Appendix E Conversion Factors 869

Appendix F An Introduction to MATLAB 871

Appendix G Workbench Examples 905
内容简介:
本书详细介绍了有限元分析的基本理论和方法，以及ANSYS软件在有限元分析中的应用。全书详细介绍了一维和二维有限元公式的推导以及实例问题的分析方法，简单阐述了三维有限元分析方法；讨论了桁架、轴力构件、梁、框架、热传递、流体流动和动力学问题的有限元分析；通过实例详细介绍了利用ANSYS进行有限元分析的基本方法和步骤。每章均先介绍相关的基本概念和有限元公式的推导过程，然后基于有限元分析方法手工求解一些简单的实例问题，进而再利用ANSYS进行问题求解。本书特别强调分析结果的验证，在一些章的章末均提出了针对不同问题的分析结果的验证方法。
作者简介:
Saeed Moaveni（萨伊德 · 莫维尼）博士是一位成功的作者、教师与工程专家。他于1990年加入明尼苏达州立大学机械工程部，现在是机械工程学院的院长。他是美国机械工程学会（ASME）的会员和美国工程教育学会（ASEE）的Tau Beta Pi 荣誉会员。

Saeed Moaveni博士是一位成功的作者、教师与工程专家。他于1990年加入明尼苏达州立大学机械工程部，现在是机械工程学院的院长。他是美国机械工程学会（ASME）的会员和美国工程教育学会（ASEE）的Tau Beta Pi 荣誉会员。
目录:
Contents

1 Introduction 1

1.1 Engineering Problems 2

1.2 Numerical Methods 5

1.3 A Brief History of the Finite Element Method and ANSYS 6

1.4 Basic Steps in the Finite Element Method 6

1.5 Direct Formulation 8

1.6 Minimum Total Potential Energy Formulation 37

1.7 Weighted Residual Formulations 43

1.8 Verification of Results 48

1.9 Understanding the Problem 49

Summary 54

References 54

Problems 54

2 Matrix Algebra 66

2.1 Basic Definitions 66

2.2 Matrix Addition or Subtraction 69

2.3 Matrix Multiplication 69

2.4 Partitioning of a Matrix 73

2.5 Transpose of a Matrix 77

2.6 Determinant of a Matrix 81

2.7 Solutions of Simultaneous Linear Equations 86

2.8 Inverse of a Matrix 94

2.9 Eigenvalues and Eigenvectors 98

2.10 Using MATLAB to Manipulate Matrices 102

2.11 Using Excel to Manipulate Matrices 106

2.12 Solutions of Simultaneous Nonlinear Equations 121

Summary 123

References 124

Problems 124

3 Trusses 129

3.1 Definition of a Truss 129

3.2 Finite Element Formulation 130

3.3 Space Trusses 155

3.4 Overview of the ANSYS Program 157

3.5 ANSYS Workbench Environment 165

3.6 Examples Using ANSYS 165

3.7 Verification of Results 197

Summary 199

References 199

Problems 199

4 Axial Members, Beams, and Frames 209

4.1 Members Under Axial Loading 209

4.2 Beams 217

4.3 Finite Element Formulation of Beams 222

4.4 Finite Element Formulation of Frames 238

4.5 Three-Dimensional Beam Element 244

4.6 An Example Using ANSYS 246

4.7 Verification of Results 271

Summary 273

References 274

Problems 275

5 One-Dimensional Elements 287

5.1 Linear Elements 287

5.2 Quadratic Elements 291

5.3 Cubic Elements 293

5.4 Global, Local, and Natural Coordinates 296

5.5 Isoparametric Elements 298

5.6 Numerical Integration: Gauss?CLegendre Quadrature 300

5.7 Examples of One-

Dimensional

Elements in ANSYS 305

Summary 305

References 305

Problems 305

6 Analysis of One-Dimensional Problems 312

6.1 Heat Transfer Problems 312

6.2 A Fluid Mechanics Problem 331

6.3 An Example Using ANSYS 335

6.4 Verification of Results 350

6.5 Members Under Axial Loading with Temperature Change 351

Summary 353

References 353

Problems 353

7 Two-Dimensional Elements 357

7.1 Rectangular Elements 357

7.2 Quadratic Quadrilateral Elements 361

7.3 Linear Triangular Elements 366

7.4 Quadratic Triangular Elements 371

7.5 Axisymmetric Elements 375

7.6 Isoparametric Elements 380

7.7 Two-Dimensional Integrals: Gauss?CLegendre Quadrature 383

7.8 Examples of Two-Dimensional Elements in ANSYS 384

Summary 385

References 385

Problems 386

8 More ANSYS 393

8.1 ANSYS Program 393

8.2 ANSYS Database and Files 394

8.3 Creating a Finite Element Model with ANSYS: Preprocessing 396

8.4 h-Method Versus p-Method 410

8.5 Applying Boundary Conditions, Loads, and the Solution 410

8.6 Results of Your Finite Element Model: Postprocessing 413

8.7 Selection Options 418

8.8 Graphics Capabilities 419

8.9 Error-Estimation Procedures 421

8.10 More on ANSYS Workbench Environment 422

8.11 An Example Problem 428

Summary 441

References 442

9 Analysis of Two-Dimensional Heat Transfer Problems 443

9.1 General Conduction Problems 443

9.2 Formulation with Rectangular Elements 450

9.3 Formulation with Triangular Elements 461

9.4 Axisymmetric Formulation of Three-Dimensional Problems 480

9.5 Unsteady Heat Transfer 487

9.6 Conduction Elements Used by ANSYS 497

9.7 Examples Using ANSYS 498

9.8 Verification of Results 538

Summary 538

References 540

Problems 540

10 Analysis of Two-Dimensional Solid Mechanics Problems 552

10.1 Torsion of Members with Arbitrary Cross-Section Shape 552

10.2 Plane-Stress Formulation 568

10.3 Isoparametric Formulation: Using a Quadrilateral Element 576

10.4 Axisymmetric Formulation 583

10.5 Basic Failure Theories 585

10.6 Examples Using ANSYS 586

10.7 Verification of Results 608

Summary 608

References 610

Problems 610

11 Dynamic Problems 619

11.1 Review of Dynamics 619

11.2 Review of Vibration of Mechanical and Structural Systems 633

11.3 Lagrange’s Equations 650

11.4 Finite Element Formulation of Axial Members 652

11.5 Finite Element Formulation of Beams and Frames 661

11.6 Examples Using ANSYS 675

Summary 694

References 694

Problems 694

12 Analysis of Fluid Mechanics Problems 701

12.1 Direct Formulation of Flow Through Pipes 701

12.2 Ideal Fluid Flow 713

12.3 Groundwater Flow 719

12.4 Examples Using ANSYS 722

12.5 Verification of Results 743

Summary 744

References 745

Problems 746

13 Three-Dimensional Elements 751

13.1 The Four-Node Tetrahedral Element 751

13.2 Analysis of Three-Dimensional Solid Problems Using Four-Node Tetrahedral Elements 754

13.3 The Eight-Node Brick Element 759

13.4 The Ten-Node Tetrahedral Element 761

13.5 The Twenty-Node Brick Element 762

13.6 Examples of Three-Dimensional Elements in ANSYS 764

13.7 Basic Solid-Modeling Ideas 768

13.8 A Thermal Example Using ANSYS 779

13.9 A Structural Example Using ANSYS 796

Summary 809

References 809

Problems 809

14 Design and Material Selection 818

14.1 Engineering Design Process 819

14.2 Material Selection 822

14.3 Electrical, Mechanical, and Thermophysical Properties of Materials 823

14.4 Common Solid Engineering Materials 825

14.5 Some Common Fluid Materials 832

Summary 834

References 834

Problems 834

15 Design Optimization 836

15.1 Introduction to Design Optimization 836

15.2 The Parametric Design Language of ANSYS 840

15.3 Examples of Batch Files 842

Summary 853

References 854

Problems 854

Appendix A Mechanical Properties of Some Materials 855

Appendix B Thermophysical Properties of Some Materials 859

Appendix C Properties of Common Line and Area Shapes 861

Appendix D Geometrical Properties of Structural Steel Shapes 865

Appendix E Conversion Factors 869

Appendix F An Introduction to MATLAB 871

Appendix G Workbench Examples 905

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有限元分析——ANSYS理论与应用（第五版）（英文版）

内容简介:

作者简介:

目录: