9. G modeling#
9.1. Characteristics of modeling#
Shell element DST (modeling a quarter plate).
The plate model is rotated 20 degrees according to the nautical angle alpha and 30 degrees according to beta, without reference to an unrotated model.
The orientation of the meshes is here identical to that of the reference [bib1].
Boundary conditions: |
LIAISON_OBLIQUE |
(GROUP_NO =”AB”, ANGL_NAUT =( 20.,30.,0.), DZ=0., DRY =0.) |
|
(GROUP_NO =”BC”, ANGL_NAUT =( 20.,30.,0.), DX=0., DRY =0.) |
|
(GROUP_NO =”CD”, ANGL_NAUT =( 20.,30.,0.), DY=0., DRX =0.) |
|
(GROUP_NO =”DA”, ANGL_NAUT =( 20.,30.,0.), DZ=0., DRX =0.) |
|
Point C |
mesh: 72 |
9.2. Characteristics of the mesh#
Number of knots: 56
Number of meshes and types: 72 TRIA3
9.3. Tested values#
Point C |
Identification |
Reference |
Aster |
% Difference |
|
\({\sigma }_{x}\) on lower layer 3 |
4.7100E+01 |
4.7920E+01 |
1.742 |
||
\({\sigma }_{x}\) on top layer 3 |
5.8800E+01 |
5.9900E+01 |
1.872 |
||
Constraints |
\({\sigma }_{x}\) on lower layer 2 |
—4.7100E+01 |
—4.7920E+01 |
1.742 |
|
\({\sigma }_{x}\) on top layer 2 |
4.7100E+01 |
4.7920E+01 |
1.742 |
||
\({\sigma }_{x}\) on layer 1 below |
—5.8800E+01 |
—5.9900E+01 |
1.872 |
||
\({\sigma }_{x}\) on top layer 1 |
—4.7100E+01 |
—4.7920E+01 |
1.742 |
||
X |
1.9696E+01 |
1.9696E+01 |
1.9696E+01 |
0.946 |
|
Displacement |
DY |
7.1687E+00 |
7.2365E+00 |
0.947 |
|
DZ |
3.6304E+01 |
3.6647E+01 |
3.6304E+01 |
0.946 |
9.4. notes#
The reference values of the displacement at point \(C\) are obtained by projecting the theoretical displacement established for an unrotated plate into the new user frame of reference (the displacement for an unrotated plate being vertical, the new displacement is a function of the projection of the \(Z\) axis). In the local coordinate system, the projection of the \(Z\) axis is as follows:
, with
and
9.5. Contents of the results file#
Values at the displacement observation point and constraints \({\sigma }_{x}\).