1. Reference problem#
1.1. Geometry#
X
Z
Thickness of the plate: \(e=\mathrm{0,5 }\mathrm{cm}\).
Width of the plate: \(l=\mathrm{5 }\mathrm{cm}\).
Plate length: \(L=\mathrm{10 }\mathrm{cm}\)
Coordinates of reference points (\(\mathrm{cm}\))
\(x\) |
|
|
|
\(A\) |
0 |
—2.5 |
0 |
\(B\) |
10 |
—2.5 |
0 |
\(C\) |
10 |
2.5 |
0 |
\(D\) |
0 |
2.5 |
0 |
1.2. Material properties#
Plates:
Poisson’s ratio: \(0.3\)
Young’s module: \(2.{10}^{15}N/{m}^{2}\)
1.3. Boundary conditions and loads#
The plate is stuck:
on \(\mathrm{AB}\) and \(\mathrm{CD}\) for trips according to \(y\) and \(z\),
on \(\mathrm{BC}\) and \(\mathrm{DA}\) for trips according to \(x\) and \(z\),
on \(\mathrm{AB}\) and \(\mathrm{CD}\) for rotations according to \(y\),
on \(\mathrm{AD}\) and \(\mathrm{BC}\) for rotations according to \(x\).
The central node of each plate is also blocked to give it the only possibility of moving along the \(z\) axis.
The plate is subjected to vertical pressure distributed over the upper plate:
Pressure: \(p=2.5{10}^{\mathrm{12 }}N/{m}^{2}\),