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Finite Element Analysis: Theory and Application with ANSYS, Third Edition

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Finite Element Analysis: Theory and Application with ANSYS, Third Edition

by Saeed Moaveni

Publisher: Prentice Hall

Copyright Year: 2008

Publishing Date: 2007/03/27

eText ISBN-10: 0-13-604366-6

eText ISBN-13: 978-0-13-604366-9

Print ISBN-10: 0-13-189080-8

Print ISBN-13: 978-0-13-189080-0

Course: Mechanical Engineering, Civil Engineering

Pages: 880

eTextbook $84.00

(180 day subscription)

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Table of Contents | Description

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ABOUT THIS TITLE - TABLE OF CONTENTS

Acknowledgments, xv

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

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

References, 113

3. Trusses, 117

3.1. Definition of a Truss, 117

3.2. Finite Element Formulation, 118

3.3. Space Trusses, 135

3.4. Overview of the ANSYS Program, 137

3.5. Examples Using ANSYS, 144

3.6. Verification of Results, 177

References, 179

4. Axial Members, Beams, and Frames, 189

4.1. Members Under Axial Loading, 189

4.2. Beams, 197

4.3. Finite Element Formulation of Beams, 202

4.4. Finite Element Formulation of Frames, 213

4.5. Three-Dimensional Beam Element, 219

4.6. An Example Using ANSYS, 222

4.7. Verification of Results, 236

References, 239

5. One-Dimensional Elements, 252

5.1. Linear Elements, 252

5.2. Quadratic Elements, 256

5.3. Cubic Elements, 258

5.4. Global, Local, and Natural Coordinates, 261

5.5. Isoparametric Elements, 263

5.6. Numerical Integration: Gauss–Legendre Quadrature, 265

5.7. Examples of One-Dimensional Elements in ANSYS, 270

References, 270

6. Analysis of One-Dimensional Problems, 277

6.1. Heat Transfer Problems, 277

6.2. A Fluid Mechanics Problem, 292

6.3. An Example Using ANSYS, 296

6.4. Verification of Results, 311

References, 312

7. Two-Dimensional Elements, 316

7.1. Rectangular Elements, 316

7.2. Quadratic Quadrilateral Elements, 320

7.3. Linear Triangular Elements, 325

7.4. Quadratic Triangular Elements, 330

7.5. Axisymmetric Elements, 334

7.6. Isoparametric Elements, 339

7.7. Two-Dimensional Integrals: Gauss–Legendre Quadrature, 341

7.8. Examples of Two-Dimensional Elements in ANSYS, 344

References, 345

8. More ANSYS, 353

8.1. ANSYS Program, 353

8.2. ANSYS Database and Files, 354

8.3. Creating a Finite Element Model with ANSYS: Preprocessing, 356

8.4. h-Method Versus p-Method, 370

8.5. Applying Boundary Conditions, Loads, and the Solution, 370

8.6. Results of Your Finite Element Model: Postprocessing, 373

8.7. Selection Options, 378

8.8. Graphics Capabilities, 379

8.9. Error-Estimation Procedures, 381

8.10. An Example Problem, 383

References, 398

9. Analysis of Two-Dimensional Heat Transfer Problems, 405

9.1. General Conduction Problems, 405

9.2. Formulation with Rectangular Elements, 412

9.3. Formulation with Triangular Elements, 423

9.4. Axisymmetric Formulation of Three-Dimensional Problems, 434

9.5. Unsteady Heat Transfer, 442

9.6. Conduction Elements Used by ANSYS, 452

9.7. Examples Using ANSYS, 453

9.8. Verification of Results, 491

References, 493

10. Analysis of Two-Dimensional Solid Mechanics Problems, 505

10.1. Torsion of Members with Arbitrary Cross-Section Shape, 505

10.2. Plane-Stress Formulation, 515

10.3. Isoparametric Formulation: Using a Quadrilateral Element, 523

10.4. Axisymmetric Formulation, 530

10.5. Basic Failure Theories, 532

10.6. Examples Using ANSYS, 533

10.7. Verification of Results, 554

References, 556

11. Dynamic Problems, 565

11.1. Review of Dynamics, 565

11.2. Review of Vibration of Mechanical and Structural Systems, 579

11.3. Lagrange’s Equations, 596

11.4. Finite Element Formulation of Axial Members, 598

11.5. Finite Element Formulation of Beams and Frames, 602

11.6. Examples Using ANSYS, 616

References, 636

12. Analysis of Fluid Mechanics Problems, 643

12.1. Direct Formulation of Flow Through Pipes, 643

12.2. Ideal Fluid Flow, 649

12.3. Groundwater Flow, 655

12.4. Examples Using ANSYS, 658

12.5. Verification of Results, 679

References, 681

13. Three-Dimensional Elements, 687

13.1. The Four-Node Tetrahedral Element, 687

13.2. Analysis of Three-Dimensional Solid Problems Using Four-Node Tetrahedral Elements, 690

13.3. The Eight-Node Brick Element, 695

13.4. The Ten-Node Tetrahedral Element, 697

13.5. The Twenty-Node Brick Element, 698

13.6. Examples of Three-Dimensional Elements in ANSYS, 700

13.7. Basic Solid-Modeling Ideas, 704

13.8. A Thermal Example Using ANSYS, 715

13.9. A Structural Example Using ANSYS, 732

References, 745

14. Design and Material Selection, 754

14.1. Engineering Design Process, 755

14.2. Material Selection, 758

14.3. Electrical, Mechanical, and Thermophysical Properties of Materials, 759

14.4. Common Solid Engineering Materials, 761

14.5. Some Common Fluid Materials, 768

15. Design Optimization, 772

15.1. Introduction to Design Optimization, 772

15.2. The Parametric Design Language of ANSYS, 776

15.3. Examples of Batch Files, 778

15.4. An Example of an Optimization Batch Files, 792

References, 800

Appendix A. Mechanical Properties of Some Materials, 801

Appendix B. Thermophysical Properties of Some Materials, 804

Appendix C. Properties of Common Line and Area Shapes, 805

Appendix D. Geometric Properties of Structural Steel Shapes, 808

Appendix E. Conversion Factors, 812

Appendix F. An Introduction to MATLAB, 814

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ABOUT THIS TITLE - DESCRIPTION

For courses in Finite Element Analysis, offered in departments of Mechanical or Civil and Environmental Engineering. While many good textbooks cover the theory of finite element modeling, this is the only text available that incorporates ANSYS as an integral part of its content. Moaveni presents the theory of finite element analysis, explores its application as a design/modeling tool, and explains in detail how to use ANSYS intelligently and effectively.

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