| Lecture 1 |
Weighted residual methods: Point collocation method, Method of least squares, Petrov-Galerkin method, Galerkin method |
| Lecture 2 |
Problems on weighted residual method, General Steps in FEM |
| Lecture 3 |
FEM formulation for 1D structural mechanics problems; Weak form and boundary conditions |
| Lecture 4 |
FEM formulation for 1D heat transfer problems; Weak form and boundary conditions |
| Lecture 5 |
Variational method (Principle of stationary functional) - I |
| Lecture 6 |
Variational method (Principle of stationary functional) - II |
| Lecture 7 |
Galerkin's method; Euler-Lagrange equation |
| Lecture 8 |
Principle of virtual work |
| Lecture 9 |
Rayleigh-Ritz method |
| Lecture 10 |
2-noded bar element |
| Lecture 11 |
Shape functions; Discussion on the inter-element continuity and compatibility |
| Lecture 12 |
3-noded bar element |
Quiz-1 |
Fall 2019
Spring 2020
Spring 2021
|
| Lecture 13 |
1D structural mechanics problem |
| Lecture 14 |
2-noded beam element - I |
| Lecture 15 |
2-noded beam element - II |
| Lecture 16 |
Structural analysis of trusses using bar elements - I |
| Lecture 17 |
Structural analysis of trusses using bar elements - II |
| Lecture 18 |
Structural analysis of frames; Symmetry and antisymmetry conditions |
| Lecture 19 |
1D thermal 2-noded bar element |
| Lecture 20 |
1D structural FEM: Temperature effects |
Mid-term Examination |
Fall 2019
Spring 2020
Spring 2021
|
| Lecture 21 |
FEM formulation for 2D heat transfer problems |
| Lecture 22 |
3-noded triangular element for heat transfer problems - 1 |
| Lecture 23 |
3-noded triangular element for heat transfer problems - 2 |
| Lecture 24 |
6-noded triangular element for heat transfer problems |
| Lecture 25 |
4-noded isoparametric quadrilateral element |
| Lecture 26 |
Higher order isoparametric element, Introduction to sub and superparametric formulation |
| Lecture 27 |
2D Structural mechanics - An introduction |
| Lecture 28 |
Plane stress, plane strain and axisymmetric 2D approaches |
| Lecture 29 |
FEM formulation for 2D plane stress/strain problems, 3-noded triangular element |
| Lecture 30 |
4-noded isoparametric quadrilateral element for plane stress/strain problems |
| Lecture 31 |
FEM formulation for 2D axisymmetric problems |
| Lecture 32 |
Numerical integration |
Quiz-2 |
Fall 2019
Spring 2020
Spring 2021
|
| Lecture 33 |
Equation of motion: Weak form |
| Lecture 34 |
Element formulations for dynamic problems - I |
| Lecture 35 |
Element formulations for dynamic problems - II |
| Lecture 36 |
Equation of motion: Energy approach |
| Lecture 37 |
Consistent and lumped mass matrix |
| Lecture 38 |
FEM for vibration problems: Implicit and Explicit schemes - I |
| Lecture 39 |
FEM for vibration problems: Implicit and Explicit schemes - II |
| Lecture 40 |
Dynamic analysis - Problem |
End-term Examination |
Fall 2019
Spring 2020
Spring 2021
|