external image fan_blade.png




Fall 2016 Schedule


Week #
Topic
Practice and Assessment
ILO's
122/9/2016
Introduction
- Course outline and objectives
- Course assessment

Review of Galerkin Method
- Weighted residual methods
- Galerkin Method
- The weak form

Introduction to variational methods
- Raleigh-Ritz method
- Lagrange method
- Hamilton Method
HW#01

229/9/2016
One Dimensional 2nd Order Problems
- Domain discretization
- Selection to trial functions
- Top-down approach
- Interpolation functions
- Element Equations
- Bottom-Up approach
- Global equations
HW#02

36/10/2016

HW#03

413/10/2016
One Dimensional 2nd Order Problems
- Applying boundary conditions
- Solving system of equations
- The secondary equations
- Examples
- Bar problem
- Heat transfer problem
- Fluid mechanics problem

Analysis of trusses
- Bar Element in 2-D
- Element-Node connectivity
- Applying boundary conditions and setting external loads
- Solving truss problems
HW#04

520/10/2016
Euler-Bernoulli Beams
- Governing equations
- Element Equations
- Assembling the global equations
- Applying boundary conditions
- Solving equations
HW#05

627/10/2016
Euler-Bernoulli Beams
- Frame problems in 2-D
HW#06

73/11/2016
Higher order Elements
- Extra nodes in 1-D elements
- Using non-polynomial functions
- Using numerical integration to obtain element matrices
HW#07
Midterm #1

810/11/2016
Eigenvalue problems
- Formulation of the problem
- Solving the problem
- Post processing
HW#08

917/11/2016
Time dependent problems
- Examples of time dependent problems
- Formulating the problem
- solving the problem
HW#09

1024/11/2016
Nonlinear problems
- Examples of nonlinear problems
- Formulating the problem
- Solving the problem
HW#10

111/12/2016
Two dimensional problems
- The logistic problem
- Trial functions
- Deriving the element equations
- Applying boundary conditions
HW#11
Midterm #2

128/12/2016
Two dimensional problems
- Thermal conduction in 2-D
- Potential flow in 2-D
HW#12

1315/12/2016
Two dimensional problems
- Plane elasticity in 2-D
HW#13

1422/12/2016
Problems involving nontraditional materials
- Composite materials
- Smart materials
HW#14





Introduction to the FEM (Book Draft)







.