1. Reference problem#
1.1. Geometry#
Square plate: |
side \(a=10.m\) |
thickness \(t=0.05m\) |
Point coordinates (in \(m\)):
Test 2 |
Test 4 |
||||||
Node |
\(x\) |
|
Node |
\(x\) |
|
||
1 |
4.0 |
4.0 |
1 |
4.0 |
4.0 |
||
2 |
2.25 |
2.25 |
|||||
3 |
4.75 |
2.5 |
|||||
4 |
7.25 |
2.75 |
|||||
5 |
7.5 |
4.75 |
|||||
6 |
7.75 |
7.25 |
|||||
7 |
5.25 |
7.25 |
|||||
8 |
2.25 |
7.25 |
|||||
9 |
2.5 |
4.75 |
1.2. Material properties#
\(E={2.10}^{\mathrm{11 }}\mathrm{Pa}\)
\(\nu =0.3\)
\(\rho =8000.\mathrm{kg}/{m}^{3}\)
1.3. Boundary conditions and loads#
Any \(P\) point such as \({x}_{p}=0\): (\(u=v=w=0\), \({\theta }_{y}=0\)).
1.4. Initial conditions#
Not applicable for modal analysis.