15. Summary of results#
% of differences compared to the reference solutions
DKT |
DKQ |
DST |
DSQ |
Q4G |
||
Fashionable. |
A
|
B
|
E
|
F
|
G
|
H
|
Point |
50 knots
|
170 knots
|
169 knots
|
170 knots
|
169 knots
|
169 knots
|
O |
—0.76 |
+0.12 |
+0.22 |
+0.74 |
+0.19 |
—0.08 |
D |
—0.23 |
+0.18 |
+0.23 |
+0.77 |
+0.19 |
—0.28 |
E |
—0.25 |
+0.24 |
+0.23 |
+0.84 |
+0.19 |
—0.28 |
F |
—0.32 |
+0.22 |
+0.20 |
+0.75 |
+0.14 |
—0.34 |
Q4G |
|
Fashionable. |
M
|
Point |
561 knots - 1036 TRIA3 |
O |
+0.176 |
D |
+0.225 |
E |
+0.225 |
F |
|
COQU_AXIS |
MEC3QU9H |
MEC3TR7H |
||
Fashionable. |
I Love-Kirchhoff |
J Reissner |
K |
L |
Point |
21 knots 10 SEG3 |
96 knots 25 QUAD9 |
121 knots 50 TRIA7 |
|
+0.51 |
0.03 |
—0.16 |
—0.13 |
|
+0.28 |
0.05 |
—0.029 |
—0.35 |
|
—0.029 |
—0.35 |
|||
+0.22 |
||||
DKT |
DKQ |
DST |
DSQ |
Q4G |
||
Fashionable. |
A
|
B
|
E
|
F
|
G
|
H
|
Point |
50 knots
|
170 knots
|
169 knots
|
170 knots
|
169 knots
|
169 knots
|
O |
—1.15 |
+0.19 |
+0.46 |
+1.04 |
—0.33 |
—0.07 |
A |
+0.81 |
+4.02 |
+0.49 |
+5.26 |
+3.79 |
—10.73 |
B |
+4.58 |
+2.64 |
+0.20 |
+2.02 |
+1.69 |
—10.95 |
C |
+0.75 |
+4.13 |
+0.45 |
+5.34 |
+3.64 |
—10.69 |
D |
+4.55 |
+1.99 |
+2.71 |
+2.07 |
+0.40 |
+0.74 |
E |
+4.55 |
+2.19 |
+2.71 |
+2.29 |
+0.40 |
+0.74 |
F |
+1.71 |
+2.05 |
—0.79 |
+1.19 |
+17.80 |
—0.94 |
Q4G |
|
Fashionable. |
M
|
Point |
561 knots - 1036 TRIA3 |
O |
+0.265 |
A |
+1.65 |
B |
+4.95 |
C |
+1.73 |
D |
+5.18 |
E |
+5.50 |
F |
+4.07 |
COQU_AXIS |
MEC3QU9H |
MEC3TR7H |
||
Fashionable. |
I Love-Kirchhoff |
J Reissner |
K |
L |
Point |
21 knots 10 SEG3 |
96 knots 25 QUAD9 |
121 knots 50 TRIA7 |
|
+0.18 |
+0.62 |
2.67 |
2.89 |
|
+14.2 |
—1.01 |
—1.45 |
—1.33 |
|
—1.46 |
—1.32 |
|||
+0.84 |
—0.85 |
1.08 |
—1.23 |
|
0.95 |
—1.23 |
|||
Note s :
Regarding efforts, direct calculation at the nodes leads to discrepancies in several nodes, especially at point F in DSQet on the edge \(\mathrm{ABC}\) en Q4G.
Modeling with COQUE_SOLIDE elements (N modeling) is the only plate modeling that accounts for the pinch effect with a linear constraint in the thickness.