1. Reference problem#

1.1. Geometry#

_images/100025FC0000253500001231512A7A40525EAA29.svg

Side \(a=1.m\), thickness \(t=0.01m\), \(\alpha =30°\)

Point coordinates (in \(m\)):

\(A\)

\(B\)

\(C\)

\(D\)

\(x\)

\(a\)

\(a(1+\mathrm{sin}\alpha )\)

\(a\mathrm{sin}\alpha\)

\(y\)

\(a\mathrm{cos}\alpha\)

\(a\mathrm{cos}\alpha\)

\(z\)

1.2. Material properties#

\(E=2.1{10}^{\mathrm{11 }}\mathrm{Pa}\)

\(\nu =0.3\)

\(\rho =7800.\mathrm{kg}/{m}^{3}\)

1.3. Boundary conditions and loads#

Embedded side \(\mathrm{AB}\):

for any \(P\) point such as \({y}_{p}=0.\)

\(\begin{array}{}u=v=w=0.\\ {\theta }_{x}={\theta }_{y}={\theta }_{z}=0.\end{array}\)

1.4. Initial conditions#

Not applicable for modal analysis.