1. Reference problem#
1.1. Geometry A and B#
Geometry \(A\) is in the \(\mathit{XY}\) plane and consists of 3 sections.
Figure 1.1-a : Geometry \(A\), in the \(\mathit{XY}\) plane.
The coordinates of the nodes, geometry \(A\), in the global coordinate system:
Node |
X |
Y |
Z |
A |
0 |
0 |
0 |
B |
L |
0 |
0 |
C |
2*L |
L |
0 |
D |
2*L |
3*L |
0 |
Geometry \(B\) corresponds to geometry \(A\) to which the following 3 successive rotations are applied:
around the \(Z\) axis, a rotation of \(25.0°\), which gives the new \({X}_{1},{Y}_{1},{Z}_{1}\) coordinate system.
around the \({Y}_{1}\) axis, a rotation of \(-40.0°\), which gives the new \({X}_{2},{Y}_{2},{Z}_{2}\) coordinate system.
around the \({X}_{2}\) axis, a rotation of \(27.5°\).
Figure 1.1-b : Geometry B.
1.2. Loads#
1.2.1. Boundary conditions#
In each case, node \(A\) is embedded and node \(D\) requires effort and time.