1. Reference problem#
1.1. Geometry#
Side \(a=\mathrm{1m}\)
Thickness \(t=\mathrm{0.01m}\)
Coordinates of the points (in \(m\)):
\(A\) |
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\(x\) |
0.5 |
0.25 |
0.75 |
0.75 |
0.25 |
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\(y\) |
0.5 |
0.25 |
0.25 |
0.25 |
0.75 |
0.75 |
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\(z\) |
1.2. Material properties#
\(E=2.1{10}^{11}\mathrm{Pa}\) \(\nu =0.3\) \(\rho =7800\mathrm{kg}/{m}^{3}\)
1.3. Boundary conditions and loads#
Case 1: recessed side \(\mathrm{AB}\)
for any \(P\) point such as \({y}_{P}=0\):
\(\begin{array}{}u=v=w=0.\\ {\theta }_{x}={\theta }_{y}={\theta }_{z}=0.\end{array}\)
Cas2: free plate
1.4. Initial conditions#
Not applicable for modal analysis