1. Reference problem#

1.1. Geometry#

_images/10000D8600002CA6000012EAFAFED834F440FB5E.svg

\(L=1m\)

\(D=\mathrm{0,2}m\) - Circular section

1.2. Material properties#

\(E={1.10}^{10}\mathrm{Pa}\)

\(\nu =0.3\)

\(\rho ={1.10}^{4}\mathrm{kg}/{m}^{3}\)

Rayleigh damping by element: \({\alpha }_{e}=0.1\) \({\beta }_{e}=0.1\)

1.3. Boundary conditions and loads#

Enclosed end \(A\): \(u(0)=n(0)=w(0)=0\).

For any point \(M(x)\): \(n(0)=w(0)=0\).

Harmonic loading over time, at the free end:

  • orientation: according to \(x\),

  • amplitude: \(\mathrm{100 }N\),

  • frequency: \(\mathrm{100 }\mathrm{Hz}\).

1.4. Initial conditions#

Not applicable for harmonic response calculation.