Finite element analysis: theory and application with ANSYS
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Upper Saddle River, NJ
Pearson Education
2008
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| Edition: | 3. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XV, 861 S. Ill., graph. Darst. |
| ISBN: | 0132416514 9780132416511 |
Staff View
MARC
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Record in the Search Index
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| adam_text | Titel: Finite element analysis
Autor: Moaveni, Saeed
Jahr: 2008
Preface xi
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
Summary 53
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
Summary 112
References 113
Problems 113
3 Trusses 117
3.1 Definition of a Truss 117
3.2 Finite Element Formulation 118
3.3 Space Trusses 135
v
3.4 Overview of the ANSYS Program 137
3.5 Examples Using ANSYS 144
3.6 Verification of Results 177
Summary 179
References 179
Problems 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
Summary 238
References 239
Problems 240
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
Summary 270
References 270
Problems 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
Summary 312
References 312
Problems 313
7 Two-Dimensional Elements 316
7.1
7.2
Rectangular Elements 316
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
Summary 345
References 345
Problems 346
8 j 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 ^-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
Summary 397
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
Summary 491
References 493
Problems 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
Summary 554
References 556
Problems 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
Summary 636
References 636
Problems 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
Summary 680
References 681
Problems 682
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
Summary 745
References 745
Problems 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
Summary 770
Reference 770
Problems 770
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
Summary 800
References 800
Problems 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
Index 849
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| language | English |
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| physical | XV, 861 S. Ill., graph. Darst. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
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| publisher | Pearson Education |
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| spelling | Moaveni, Saeed Verfasser aut Finite element analysis theory and application with ANSYS Saeed Moaveni 3. ed. Upper Saddle River, NJ Pearson Education 2008 XV, 861 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Datenverarbeitung ANSYS (Computer system) Finite element method Data processing Finite-Elemente-Methode (DE-588)4017233-8 gnd rswk-swf ANSYS (DE-588)4211838-4 gnd rswk-swf Finite-Elemente-Methode (DE-588)4017233-8 s ANSYS (DE-588)4211838-4 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017243170&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Moaveni, Saeed Finite element analysis theory and application with ANSYS Datenverarbeitung ANSYS (Computer system) Finite element method Data processing Finite-Elemente-Methode (DE-588)4017233-8 gnd ANSYS (DE-588)4211838-4 gnd |
| subject_GND | (DE-588)4017233-8 (DE-588)4211838-4 |
| title | Finite element analysis theory and application with ANSYS |
| title_auth | Finite element analysis theory and application with ANSYS |
| title_exact_search | Finite element analysis theory and application with ANSYS |
| title_full | Finite element analysis theory and application with ANSYS Saeed Moaveni |
| title_fullStr | Finite element analysis theory and application with ANSYS Saeed Moaveni |
| title_full_unstemmed | Finite element analysis theory and application with ANSYS Saeed Moaveni |
| title_short | Finite element analysis |
| title_sort | finite element analysis theory and application with ansys |
| title_sub | theory and application with ANSYS |
| topic | Datenverarbeitung ANSYS (Computer system) Finite element method Data processing Finite-Elemente-Methode (DE-588)4017233-8 gnd ANSYS (DE-588)4211838-4 gnd |
| topic_facet | Datenverarbeitung ANSYS (Computer system) Finite element method Data processing Finite-Elemente-Methode ANSYS |
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