5. C modeling#
Here we test the 3D changes on a 2D mesh. Always starting from the initial grid, we will impose separately:
a deformation with a field (1, 2, 3) applied to all the nodes
a vector translation (1, 2, 3)
a rotation of 45 degrees along the X axis (rotation out of plane)
a base change of vectors \((1;0;0)\), \((0;1;1)\) and their orthogonal
symmetry with respect to the plane constituted by the point (0,0,0) and the vectors \((1;0;0)\), \((0;1;1)\)
A three-dimensional displacement is thus tested for an initially two-dimensional mesh.
5.1. Characteristics of the mesh#
The mesh has a single element of type QUAD4.
5.2. Tested sizes and results#
With a deformation of the type “TRAN” according to the vector (1, 2, 3)
DEFORME =_F (OPTION =” TRAN “…)
Points observed |
Coordinates |
Reference |
\(\mathit{P1}\) |
|
1 |
\(Y\) |
2 |
|
\(Z\) |
3 |
|
With a translation according to the vector (1 |
2 |
Points observed |
Coordinates |
Reference |
\(P1\) |
|
1 |
\(Y\) |
2 |
|
\(Z\) |
3 |
|
With a rotation of 45 degrees along the X axis (rotation out of plane) |
Points observed |
Coordinates |
Reference |
\(P3\) |
|
1 |
\(Y\) |
2.1213203436 |
|
\(Z\) |
2.1213203436 |
With a base change of vectors \((1;0;0)\), \((-0;1;1)\)
Points observed |
Coordinates |
Reference |
\(P3\) |
|
1 |
\(Y\) |
2.1213203436 |
|
\(Z\) |
-2.1213203436 |
With symmetry with respect to the plane constituted by the point (0,0,0) and the vectors \((1;0;0)\), \((0;1;1)\)
Points observed |
Coordinates |
Reference |
\(P3\) |
|
1 |
\(Y\) |
0 |
|
\(Z\) |
3 |