Table of Contents
Preface v
1 Finite Element Analysis Methods 1
1.1 Introduction 1
1.2 Basic Integral Formulations 2
1.3 Gather and Scatter Operators 5
1.4 Geometric Boundary Errors 7
1.5 Stages of Analysis and Their Uncertainties 8
1.6 Part Geometric Analysis and Meshing Failures 18
2 SolidWorks Simulation Overview 23
2.1 Simulation Study Capabilities 23
2.2 Element Types and Shapes 27
2.3 Element Interpolations 28
2.4 Common Modeling Errors 31
2.5 Infinite Corner Gradients 33
3 Concepts of Stress Analysis 35
3.1 Introduction 35
3.2 Axial Bar Example 38
3.3 Structural Mechanics 38
3.4 Equilibrium of a Single Restrained Element 41
3.5 General Equilibrium Matrix Partitions 44
3.6 Assembly of Multiply Element Connections 46
3.7 Solution Phases for Compound Elastic Bars 48
3.8 Structural Component Failure 52
3.9 Overall Factor of Safety 53
3.10 Element Type Selection 53
3.11 Simulation Fixture and Load Symbols 55
3.12 Structural Restraint Options in SolidWorks 57
3.13 Structural Connectors 58
3.14 Available Structural Loading Options 60
3.15 Available Material Inputs for Stress Studies 61
3.16 Stress Study Outputs 61
3.17 Stress Concentration and Defeaturing 65
3.18 Classic 1D Analytic Stress Solutions 67
4 Mesh Control in SolidWorks Simulation 73
4.1 Introduction 73
4.2 Example Initial Analysis 73
4.3 Splitting a Surface or Curve 76
4.4 Beginning SW Simulation Study 79
4.5 Mesh Control 80
4.6 Mesh Preview 82
4.7 Fixtures (Essential Boundary Conditions) 82
4.8 Pressure Loading 84
4.9 Run the Study 86
4.10 Validate the Design Revision 91
4.11 Other Aspects of Mesh Generation 93
5 General Solid Stress Analysis 95
5.1 Introduction 95
5.2 Flexural Analysis of a Zee-Section Beam 95
5.3 Ram Block Stress Analysis 103
6 Plane Stress Analysis 117
6.1 Introduction 117
6.2 Rectangular Beam Segment 118
6.3 Combining Load Cases 133
7 Rotational Loads and Accelerations 139
7.1 Introduction 139
7.2 Building a Segment Geometry 140
7.3 Part with Angular Velocity Load 142
7.4 Angular Acceleration Model 150
7.5 Proper Cyclic Symmetry Model 151
7.6 Cylindrical Component Displacements 156
8 Flat Plate Analysis 161
8.1 Introduction 161
8.2 Rectangular Plate 161
8.3 Surprising Corner Reactions 164
9 Shell Analysis 169
9.1 SolidWorks Shell Capabilities 169
9.2 Quarter Symmetry Tank Stress 171
9.3 Solid Stress Analysis Approximation with 2.5D 178
10 Space Truss and Space Frame Analysis 187
10.1 Introduction 187
10.2 Statically Determinate Space Truss 190
10.3 Analytic Beam Element Matrices 197
10.4 Frame Elements 201
10.5 Statically Indeterminate Space Frame 203
11 Vibration Analysis 217
11.1 Introduction 217
11.2 Finite Element Vibration Studies 219
11.3 Analytic Solutions for Frequencies 221
11.4 Frequencies of a Curved Solid 222
12 Buckling Analysis 229
12.1 Introduction 229
12.2 Buckling Terminology 232
12.3 Buckling Load Factor 233
12.4 General Buckling Concepts 233
12.5 Local Lateral Buckling of a Cantilever 234
13 Concepts of Thermal Analysis 241
13.1 Introduction 241
13.2 Thermal Analysis Input Properties 244
13.3 Finite Element Thermal Analysis 244
13.4 Classical 1D Thermal Solutions 250
13.5 Heat Transfer with an Orthotropic Material 258
13.6 General Anisotropic Material Directions 258
13.7 Analysis of a Block with a Cylindrical Hole 263
13.8 Crossing Pipes Analysis 273
13.9 Thermal Analysis of a Ram Block 283
13.10 Axisymmetric Thermal Analysis 291
14 Thermal Stress Analysis 299
14.1 Introduction 299
14.2 Layered Beam Thermal Stress Model 299
14.3 Ram Block Thermal-Stress Study 310
15 Related Analogies 315
15.1 Basic Concepts 315
15.2 Seepage Under a Dam 317
15.3 Potential Flow Around a Cylinder 321
References 327
Index 329
