ME422 Introduction to Finite Element Fundamentals

Assignments

1
Nov 26

-
• Load ANSYS 14 and, if necessary, SolidEdge, from DFS
• Complete the hand calculation for the torsion problem (scratch version) and bring it to class on Tuesday (individual).
• Bring computers to class Tuesday.
2 27
• Draft hand calculation
-
• Recheck the hand calculation
• Finish ANSYS if not done in class
• Bring computers to class Thursday
3
29
• Revised hand calculation
• ANSYS run complete
• Confer with group on torsion problem
• Discuss torsion problem results (entire class)
-
• Each individual should write up and turn in the solution to the torsion problem.  You are welcome to collaborate with your group on the solution, but each individual must write up their own solution to turn in.
4
30
• Torsion Write Up
• What is FEM?
• Linear Algebra, Matrix Equations
1.1,1.2
5
Dec 3

• Direct Stiffness Method
1.2,1.3
6
4

• Penalty Method
• Gauss Elimination
• Banded Matrices
1.3,1.4,1.5  -
7 6
• Homework #1 due
• Banded Matrices
• 1-D Heat Conduction, Equation and Boundary Conditions.
• Solving the 1-D Heat Equation.
1.5, 2.1
8
7

• Solving the 1-D Heat Equation.
• Weak Form of Equations.
2.1 -
9
10

• Discretization from Weak Form.
• Element Stiffness Matrix.
2.2 -
10
11

• Element Stiffness
• Forcing Vector
• Discretization
2.2, 2.3, 2.4

-

11
13
• Homework #2 due.
• Meaning of Tbar
• Eliminating Tbar from Equations
• Matrix Assembly
2.4, 2.5
12
14

• Convection Boundary Conditions
2.6 -
13 17

• Fin
2.1-2.6 -
14 18
- -
15 20
• Homework #3 due.
• Discuss exam.
• 1-D Isoparametric Elements
2.7
16
21

• 1-D Isoparametric Element Examples.
2.7 -
Winter Break
17
Jan 7
• Project description due.
• Governing Equations and B.C. for 2-D Heat Conduction.
• Weak Form, Discretization

3.1, 3.2, 3.3
-
18 8

• Element Matrices (4-node)
3.4 -
19
10
• Homework #4 due.
• Project descriptions returned.
• Element Matrices (4-node)
3.4
20
11

Exam I

-

-

21
14
• Revised project descriptions due.
• Assembly
• Heat Flux (4-node)
3.4, 3.5, 3.6 -
22
15

• Heat Flux (4-node).
3.6 -
23 17
• Homework #5 due.
• Finish 4-node Heat Flux
• Higher Order Elements
3.6, 3.7, 3.8
24 18

• Heat Flux
• Numerical Integration
3.8,3.9
25
21

• Triangular Elements
3.10 -
26
22

• Triangular Elements
• Mesh Selection
3.10,3.11 -
27
24
• Homework #6 due.
• Transient Heat Conduction
• Differential Equation
•  Weak Form
•  Mass Matrix
• Transient Equations
• Time Stepping
4.1, 4.2, 4.3, 4.4
28
25

• Time Stepping
• Stress & Strain and Material Properties
4.4, 5.1 -
29 28

• Stress & Strain and Material Properties
5.1 -
30 29

• Stress & Strain Examples.
5.1, 5.2
-
31 31
• Homework #7 due.
• Governing Equation/BC
• Weak Form for 2-D Elasticity
5.2, 5.3
32
Feb 1

• Element Matrices
5.4 -
33
4

Guest Speaker:
Viswa Bhattachar
(Rolls Royce)

-
34
5

• Forcing Functions
• Transient Analysis
5.5,5.7 -
35
7
• Homework #8 due.
• Stresses
• Modelling Concerns
5.7, 6
36
8

• Modeling Concerns
• Bars
7.1
-
37
11

• Bars
• Beams
7.1 -
38
12

• Beams
7.2 -
39
14
• Homework #9 due.

Guest Speaker:
Aaron Trisler
(Kx Simulation Technologies)

40
15

• Beams
7.2
Projects due, 5 pm.  Send them by email as a pdf.  Some 'A' projects from previous years:

Finals

Exam II

 Revised -- 11/19/2012 -- by L. G. Olson Home