MET
411 Finite Element Analysis
Instructor: Mark French
138 Knoy Hall
494-7521
Office
Hours: M- T 9:30-11:30
W-F 9:30 10:30
My door is usually open when Im in the
office. Occasionally, I will close the
door when Im particularly busy. As long
as the door is open, youre welcome.
Textbook: A
First Course in the Finite Element Method, 4th edition by Daryl
Logan
Schedule: Lecture WF 11:30 12:30 Grissom 274
Lab Th 9:30 11:30 Knoy B018
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Week |
Date |
Subject |
Homework |
Notes |
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1 |
8/27 |
Intro,
What the Heck is a Finite Element? |
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8/28 |
No Lab |
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8/29 |
Strength
of Materials Review |
HW1:
Truss Problem |
Due:
9/5/08 |
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2 |
9/3 |
Spring
Element Stiffness Matrix (chapter
2) |
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9/4 |
Lab Fizzled software
problems |
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9/5 |
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HW
2: 2.2,5,8,9,10 |
Due:
9/12/08 |
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3 |
9/10 |
Assembling
spring elements to model a uniaxial structure |
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9/11 |
Lab Start truss problem using Sim
Office |
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9/12 |
Develop
spring element with random orientation |
HW
3: Solve problem from HW 1 using
spring elements |
Due:
9/22/08 Solution
with FESA Win: LISA
Solution: |
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4 |
9/17 |
Bar
Elements (two force members) |
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9/18 |
Lab Demo of FESA Win |
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9/19 |
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5 |
9/24 |
Demo
of LISA software |
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9/25 |
Lab rectangular plate with a point load |
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9/26 |
Symmetry |
HW
4: Plate bending using LISA |
Due:
10/3/08 |
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6 |
10/1 |
Beam
Elements |
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10/2 |
Lab Beam Vibrations |
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10/3 |
Eigenvalues
and Beam Frequencies |
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7 |
10/8 |
Tuning
FE Models - Beams |
HW
5: The exact expression for the
frequencies of a cantilevered uniform beam is:
Where
β1L=1.8751 β2L=4.6941 β3L=7.8548 Using
LISA, find the first three resonant frequencies for a cantilevered beam. L=1.5m, a=b=50mm, E=70 Gpa. Plot
the results for different numbers of elements. N=1,2,4,8,16 |
Due: 10/10/08 |
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10/9 |
Lab Tuning FE Models |
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10/10 |
2-D
Frames |
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10/15 |
Model
Tuning |
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10/16 |
Lab Plate Vibration for Fender |
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10/17 |
Plate
Vibration |
HW
6: Given an aluminum bar and some
experimentally determined material properties, make a finite element model that
predicts the frequencies of the freely supported bar. E=66Gpa,
rho=2670 kg/m^3, L=0.911m, w=0.0445m, h=0.0254m. Measured
frequencies: F1
= 156.25 Hz F2
= 427.3 Hz F3
= 832.2 Hz Compare
your FE results with both experimental and analytical results |
Due: xxx This
homework assignment is on hold pending a response from LISA technical support |
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10/22 |
·
Mesh generation in LISA ·
Plane stress and plane strain elements ·
Chapter 6.1 6.2 |
HW7: 1
- A 50mm wide, 4mm thick aluminum (E=70Gpa) bar has a 6mm hole in the
center. The bar is under 750N
tension. Find the maximum stress. How does this compare to tabulated data
showing stress concentration factors? 2
Assume the beam in HW6 is cantilevered at the left end and has a 500N
vertical load applied downward at the right end. Calculate the deflection at the right end
using the exact analytical expression and a finite element model made form
plane strain elements |
Due:
11/5/08 |
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10/23 |
Modeling
a beam with three node plane elements |
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10/24 |
Plane
strain triangles |
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10/29 |
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HW
8: Model the bar in HW5 using constant
strain triangular elements (ISO3 elements).
Show how refining the mesh affects the first three predicted
frequencies. |
Due: 11/7/08 |
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10/30 |
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10/31 |
Exam 1 |
In-class Open
book Open
notes |
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11/5 |
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11/7 |
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11/12 |
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HW #9: Semi-Circular
Arch |
Due 11/24 |
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11/14 |
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11/19 |
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HW #10: 7.20, 7.23 in textbook, Use FEA to find the
first two resonant frequencies of an air column with one open end |
Due 12/5 |
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11/21 |
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11/26 |
Thanksgiving |
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11/28 |
Thanksgiving |
