| Date |
Topic |
| January 22 |
Introduction to CIVL 7/8111
Introduction to mathematical modeling - engineering applications
and equilibrium of a spring mass system |
| January 27 |
Introduction to mathematical modeling
Equilibrium of a spring mass system and plane
trusses One-dimensional boundary value problems -
Strum-Liouville equation
Approximation methods -
weighted residuals |
| January 29 |
One-dimensional boundary value problems -
Strum-Liouville equation
Approximation methods - variational methods |
| February 3 |
One-dimensional boundary value problems
Variational finite element formulations - linear elements |
| February 5 |
One-dimensional boundary value problems
Galerkin finite element formulations - linear elements and
introduction to ODE2 program (linear elements) |
| February 10 |
One-dimensional boundary value problems
Variational finite element formulations - quadratic and cubic elements with examples |
| February 12 |
One-dimensional boundary value problems
Eigenvalue problems: torsional and axial vibration and problems |
| February 17 |
Two-dimensional elliptical boundary value problems
Introduction to FEM formulation for the Poisson equation; variational
finite element formulations - linear triangular elements; areas coordinates;
and torsion function example |
| February 19 |
Two-dimensional elliptical boundary value problems
Variational finite element formulations - rectangular elements |
| February 24 |
Two-dimensional elliptical boundary value problems
Variational finite element formulations - rectangular elements |
| February 26 |
Two-dimensional elliptical boundary value problems
MESHGEN and POIS36 computer programs;
POIS36 flownet example problem |
| March 3 |
Two-dimensional elliptical boundary value problems
Variational finite element formulations - six-node triangular elements (T6) |
| March 5 |
Two-dimensional elliptical boundary value problems
Variational finite element formulations - eight-node quadrilateral elements
(Q8) |
| March 10 - 12 |
Spring Break |
| March 17 |
Two-dimensional elliptical boundary value problems
Variational axisymmetric formulation - linear triangular elements |
| March 19 |
Two-dimensional elliptical boundary value problems
MESHGEN and POIS36 application to
Problem 25 |
| March 24 |
Two-dimensional elliptical boundary value problems
Variational finite element formulations - eigenvalue problems and case
study |
| March 26 |
POIS36
Project Assignments
Time-Dependent Problems - one-dimensional
diffusion equations
Introduction and Galerkin FE model and analytical
techniques |
| March 31 |
Time-Dependent Problems - one-dimensional
diffusion equations
Numerical integration techniques |
| April 2 |
Time-Dependent Problems - one-dimensional wave equations
Introduction and analytical approaches |
| April 7-9 |
Time-Dependent Problems - one-dimensional wave equations
Numerical integration techniques |
| April 14-16 |
Time-Dependent Problems - Two-dimensional
diffusion equations
Galerkin FE model and examples |
| April 21-23 |
ime-Dependent Problems - Two-dimensional wave equations
Galerkin FE model and examples |
| April 28 |
Project Presentations |
| April 30 |
Project Presentations |
