
Finite Element Analysis Concepts via SolidWorks
J. Ed Akin
Rice University, Houston, Texas
Contents
1 FINITE ELEMENT ANALYSIS METHODS
1.1 Introduction .
1.2 Basic Integral Formulations
1.3 Gather and Scatter Operators .
1.4 Geometric Boundary Errors
1.5 Stages of Analysis and Their Uncertainties .
1.6 Part Geometric Analysis and Meshing Failures
2 SOLIDWORKS SIMULATION OVERVIEW
2.1 Simulation Study Capabilities .
2.2 Element Types and Shapes
2.3 Element Interpolations .
2.4 Common Modeling Errors .
2.5 Infinite Corner Gradients .
3 CONCEPTS OF STRESS ANALYSIS .
3.1 Introduction .
3.2 Axial Bar Example
3.3 Structural Mechanics .
3.4 Equilibrium of a Single Restrained Element .
3.5 General Equilibrium Matrix Partitions
3.6 Assembly of Multiply Element Connections .
3.7 Solution Phases for Compound Elastic Bars .
3.8 Structural Component Failure .
3.9 Overall Factor of Safety
3.10 Element Type Selection .
3.11 Simulation Fixture and Load Symbols
3.12 Structural Restraint Options in SolidWorks
3.13 Structural Connectors
3.14 Available Structural Loading Options .
3.15 Available Material Inputs for Stress Studies .
3.16 Stress Study Outputs
3.17 Stress Concentration and Defeaturing .
3.18 Classic 1D Analytic Stress Solutions
4 MESH CONTROL IN SOLIDWORKS SIMULATION .
4.1 Introduction .
4.2 Example Initial Analysis .
4.3 Splitting a Surface or Curve
4.4 Beginning SW Simulation Study .
4.5 Mesh Control .
4.6 Mesh Preview
4.7 Fixtures (Essential Boundary Conditions) .
4.8 Pressure Loading .
4.9 Run the Study
4.10 Validate the design revision
4.11 Other Aspects of Mesh Generation .
5 GENERAL SOLID STRESS ANALYSIS .
5.1 Introduction .
5.2 Flexural Analysis of a Zee-section Beam
5.3 Ram Block Stress Analysis .
6 PLANE STRESS ANALYSIS
6.1 Introduction .
6.2 Rectangular Beam Segment .
6.3 Combing Load Cases .
7 ROTATIONAL LOADS AND ACCELERATIONS .
7.1 Introduction .
7.2 Building a Segment Geometry
7.3 Part with Angular Velocity Load .
7.4 Angular Acceleration Model .
7.5 Proper Cyclic Symmetry Model
7.6 Cylindrical component displacements .
8 FLAT PLATE ANALYSIS
8.1 Introduction .
8.2 Rectangular Plate .
8.3 Surprising corner reactions
9 SHELL ANALYSIS
9.1 SolidWorks Shell Capabilities .
9.2 Quarter Symmetry Tank Stress
9.3 Solid Stress Analysis Approximation with 2.5D .
10 SPACE TRUSS AND SPACE FRAME ANALYSIS .
10.1 Introduction .
10.2 Statically Determinate Space Truss .
10.3 Analytic Beam Element Matrices
10.4 Frame Elements .
10.5 Statically Indeterminate Space Frame
11 VIBRATION ANALYSIS .
11.1 Introduction
11.2 Finite Element Vibration Studies .
11.3 Analytic Solutions for Frequencies
11.4 Frequencies of a curved solid .
12 BUCKLING ANALYSIS .
12.1 Introduction
12.2 Buckling Terminology
12.3 Buckling Load Factor .
12.4 General Buckling Concepts
12.5 Local Lateral Buckling of a Cantilever
13 CONCEPTS OF THERMAL ANALYSIS .
13.1 Introduction
13.2 Thermal Analysis Input Properties .
13.3 Finite Element Thermal Analysis .
13.4 Classical 1D Thermal Solutions .
13.5 Heat Transfer with an Orthotropic Material .
13.6 General Anisotropic Material Directions
13.7 Analysis of a Block with a Cylindrical Hole
13.8 Crossing Pipes Analysis .
13.9 Thermal Analysis of a Ram Block .
13.10 Axisymmetric thermal analysis
14 THERMAL STRESS ANALYSIS
14.1 Introduction
14.2 Layered Beam Thermal Stress Model
14.3 Ram Block Thermal-Stress Study
15 RELATED ANALOGIES .
15.1 Basic Concepts .
15.2 Seepage Under a Dam
15.3 Potential Flow Around a Cylinder
REFERENCES .
INDEX
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