The Finite Element Method (FEM/FEA)

سرفصل های دوره

From Novice to Pro: FEA Proficiency Unleashed

1. Introduction

1. Introduction

2. Software Installation Guide

3. Workshop 01 - Pre-analysis

4. Workshop 01 - Bike Crank - Define Material and Save the Project

5. Workshop 01 - Bike Crank - Geometry

6. Workshop 01 - Bike Crank - Setup, Solution and Post-Processing

7. Workshop 01 - Bike Crank - Verification, Part 1

8. Workshop 01 - Bike Crank - Verification, Part 2

2. Linear Elastic Spring Element

1. Linear Elastic Spring Element

2. System Assembly in Global Coordinates

3. Exercises - Part 1

4. Exercises - Part 2

5. Workshop 02 - Problem Specification and Pre-analysis

6. Workshop 02 - Material and Geometry

7. Workshop 02 - Creating the Springs and Mesh

8. Workshop 02 - Applying BCs, Solving the Model and Post-processing

9. Workshop 02 - Verification

10. Workshop 02 - ANSYS Help

3. Elastic Bar Element

1. Elastic Bar Element

2. Exercise

3. Strain Energy

4. Castiglianos First Theorem

5. Minimum Potential Energy

6. Workshop 03 - Problem Specification and Pre-analysis

7. Workshop 03 - Creating Material

8. Workshop 03 - Creating the Geometry

9. Workshop 03 - Analysis Setup on Mechanical

10. Workshop 03 - Post-processing results

11. Workshop 03 - Verification

4. Truss Structures

1. Nodal Equilibrium Equations - Part 1

2. Nodal Equilibrium Equations - Part 2

3. Nodal Equilibrium Equations - Part 3

4. Element Transformation

5. Direct Assembly of Stiffness Matrix - Part 1

6. Direct Assembly of Stiffness Matrix - Part 2

7. Direct Assembly of Stiffness Matrix - Part 3

8. Boundary Conditions, Constraint Forces

9. Element Strain and Stress - Part 1

10. Element Strain and Stress - Part 2

11. Comprehensive Example - Part 1

12. Comprehensive Example - Part 2

13. Comprehensive Example - Part 3

14. Three dimensional Trusses - Part 1

15. Three dimensional Trusses - Part 2

16. Workshop 04 - Problem Specification and Pre-analysis

17. Workshop 04 - Solving using Excel

18. Workshop 04 - Creating Geometry

19. Workshop 04 - Define Material and Create Mesh

20. Workshop 04 - Apply Boundary Conditions and Solve the Model

21. Workshop 04 - Post-processing

22. Workshop 04 - Verification

5. Beam Element

1. Elementary Beam Theory - Part 1

2. Elementary Beam Theory - Part 2

3. Elementary Beam Theory - Part 3

4. Beam Element

5. Beam Element Stiffness Matrix - Part 1

6. Beam Element Stiffness Matrix - Part 2

7. Beam Element Stiffness Matrix - Part 3

8. Element Load Vector and Exercise - Part 1

9. Element Load Vector and Exercise - Part 2

10. Element Load Vector and Exercise - Part 3

11. Work Equivalence for Distributed Loads - Part 1

12. Work Equivalence for Distributed Loads - Part 2

13. Work Equivalence for Distributed Loads - Part 3

14. Flexure Element with Axial Loading - Part 1

15. Flexure Element with Axial Loading - Part 2

16. Flexure Element with Axial Loading - Part 3

17. A General Three Dimensional Beam Element - Part 1

18. A General Three Dimensional Beam Element - Part 2

19. Simple Beam Element Example on FEA Software

20. Workshop 05 - Problem Specification

21. Workshop 05 - Pre-analysis

22. Workshop 05 - Define Material

23. Workshop 05 - Define Geometry

24. Workshop 05 - Generate Mesh

25. Workshop 05 - Define Boundary Conditions and Solve

26. Workshop 05 - Post-processing, Part 1

27. Workshop 05 - Post-processing, Part 2

28. Workshop 05 - Post-processing, Part 3

29. Workshop 05 - Verification

6. Equations of Elasticity

1. Strain-Displacement Relations, Part 1

2. Strain-Displacement Relations, Part 2

3. Stress-Strain Relations

4. Equilibrium Equations, Part 1

5. Equilibrium Equations, Part 2

6. Equilibrium Equations, Part 3

7. Summary

7. Matrix Mathematics and Solution Techniques for Linear Algebraic Equations

1. Matrix Mathematics - Part 1

2. Matrix Mathametics - Part 2

3. Matrix Mathematics - Part 3

4. Solution Techniques for Linear Algebraic Equations - Part 1

5. Solution Techniques for Linear Algebraic Equations - Part 2

6. Solution Techniques for Linear Algebraic Equations - Part 3

8. Plane Stress

1. Equations of Elasticity for Plane Stress Part 1

2. Equations of Elasticity for Plane Stress Part 2

3. Equations of Elasticity for Plane Stress Part 3

4. Finite Element Formulation - Constant Strain Triangle - Part 1

5. Finite Element Formulation - Constant Strain Triangle - Part 2

6. Finite Element Formulation - Constant Strain Triangle - Part 3

7. Stiffness Matrix Evaluation

8. Distributed Loads - Part 1

9. Distributed Loads - Part 2

10. Body Forces - Part 1

11. Body Forces - Part 2

12. Beam Example - Part 1

13. Beam Example - Part 2

14. Beam Example - Part 3

15. Beam Example - Part 4

16. Workshop 06 - Problem Specification and Pre-analysis

17. Workshop 06 - Define Material and Geometry

18. Workshop 06 - First configurations on Mechanical

19. Workshop 06 - Generate Mesh

20. Workshop 06 - Define BCs and Solve Mathematical Model

21. Workshop 06 - Post-Process Results

22. Workshop 06 - Verification - Part 1

23. Workshop 06 - Verification - Part 2

9. Plane Strain

1. Equations of Elasticity for Plane Strain - Part 1

2. Equations of Elasticity for Plane Strain - Part 2

3. Finite Element Formulation of 4-node rectangle - Part 1

4. Finite Element Formulation of 4-node rectangle - Part 2

5. Finite Element Formulation of 4-node rectangle - Part 3

6. Finite Element Formulation of 4-node rectangle - Part 4

7. Finite Element Formulation of 4-node rectangle - Part 5

8. Numerical Integration - Gaussian Quadrature - Part 1

9. Numerical Integration - Gaussian Quadrature - Part 2

10. Workshop 07 - Problem Specification and Pre-analysis

11. Workshop 07 - Creating Geometry

12. Workshop 07 - Start setting up mathematical model

13. Workshop 07 - Finish setting up mathematical model and solve

14. Workshop 07 - Verification - Part 1

15. Workshop 07 - Verification - Part 2

16. Workshop 07 - Verification - Part 3

17. Workshop 07 - Introduction to Singularities

10. Isoparametric Formulation

1. Isoparametric Formulation - Four node quadrilateral element - Part 1

2. Isoparametric Formulation - Four node quadrilateral element - Part 2

3. Isoparametric Formulation - Four node quadrilateral element - Part 3

4. Isoparametric Formulation - Four node quadrilateral element - Part 4

5. Isoparametric Formulation - Four node quadrilateral element - Part 5

6. Isoparametric Formulation - Four node quadrilateral element - Exercise

7. Isoparametric Formulation - Singularity of the Jacobian Matrix

8. Isoparametric Formulation - Conclusion

9. Isoparametric Formulation - Ansys Exercise

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تولید کننده: Udemy