# NOC:Basics of Finite Element Analysis Video Lectures

NOC:Basics of Finite Element Analysis
'NOC:Basics of Finite Element Analysis' Video Lectures by Prof. Nachiketa Tiwari from IIT Kanpur
 "NOC:Basics of Finite Element Analysis" - Video Lectures 1. Introduction to Finite Element Analysis(FEA) 2. Introduction of FEA, Nodes, Elements & Shape Functions 3. Nodes, Elements & Shape Functions 4. Polynomials as Shape Functions, Weighted Residuals, Elements & Assembly Level Equations 5. Types of Errors in FEA, Overall FEA Process & Convergence 6. Strengths of FE Method, Continuity conditions at Interfaces 7. Key concepts and terminologies 8. Weighted integral statements 9. Integration by parts -Review 10. Gradient and Divergence Theorems-Part I 11. Gradient and Divergence Theorems Part-II 12. Functionals 13. Variational Operator 14. Weighted Integral & Weak Formulation 15. Weak Formulation 16. Weak Formulation & Weighted Integral : Principle of minimum potential energy 17. Variational Methods : Rayleigh Ritz Method 18. Rayleigh Ritz Method 19. Method of Weighted Residuals 20. Different types of Weighted Residual Methods - Part I 21. Different types of Weighted Residual Methods - Part II 22. FEA formulation for 2nd order BVP - Part I 23. FEA formulation for 2nd order BVP - Part II 24. Element Level Equations 25. 2nd Order Boundary Value Problem 26. Assembly of element equations 27. Assembly of element equations, and implementation of boundary conditions 28. Assembly process and the connectivity matrix 29. Radially Symmetric Problems 30. One dimensional heat transfer 31. 1D-Heat conduction with convective effects : examples 32. Euler-Bernoulli beam 33. Interpolation functions for Euler-Bernoulli beam 34. Finite element equations for Euler-Bernoulli beam 35. Assembly equations for Euler-Bernoulli beam 36. Boundary conditions for Euler-Bernoulli beam 37. Shear deformable beams 38. Finite element formulation for shear deformable beams : Part - I 39. Finite element formulation for shear deformable beams : Part - II 40. Equal interpolation but reduced integration element 41. Eigenvalue problems 42. Eigenvalue problems : examples
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