Download - Finite Element Modelling
Introduce “theory basics”/”modelling basics”
• Video on FEA
• 2-D Triangle Formulation (Powerpoint)
• Then (later next week) Anil’s Powerpoint
Y
X
Two-dimensionall
ij
k
1
2
3
4
( , ) (1 )u x y x y xy
m
nl
i j
k
1
2
32 2
4
5
6
( , ) (1 )u x y x y xy x x y
o
p
m
n
l
i
j
k
1
2
3
42 2 2 2
5
6
7
8
( , ) (1 )u x y x y xy x y x y xy
i
j
k
1
2
3
( , ) (1 )u x y x y
4
5
6
( , ) (1 )v x y x y
Y
X
Three-dimensionalZ
3 DOF/node (orthogonal displacements 12 DOF total
i
j
k
l
x
y
z
1
2
3
4
( , , ) (1 ) , ( , , ).....u x y z x y z v x y z
Y
X
Three-dimensionalZ
P’
P
w(x,y)wi
ij
kl
ixx
iyy
xx
yy
3 DOF/node (vertical displacement, 2 rotations 12 DOF total
2 21 2 3 4 5 6
3 2 2 37 8 9 10
3 311 12
( , )w x y x y xy x y
x xy x y y
x y xy
Finite Element Modelling• Choose 'strategy‘ eg 2 or 3-D model• Choose element(s) from library• Select Mesh - location of nodes, connectivity of
elements, material properties, boundary conds.• Prepare input file for a suitable package taking
care of node/element numbering to suit optimal condition for the resident equation solver.
• Consider all independent load cases prior to analysis run
• 'Run'/debug model• Interpret output with care.