1. Reference problem

1.1. Geometry

Beam length: \(l=10m\)

Mass \(B\) is at a distance of \(\mathrm{0,5}m\) from point \(A\).

Beam cross section:

Area: \(A=78.1{10}^{-4}{m}^{2}\)

Moments of inertia: \({I}_{y}=5696.{10}^{-8}{m}^{4}\)

\({I}_{z}=2003.{10}^{-8}{m}^{4}\)

\({J}_{x}=7699.{10}^{-8}{m}^{4}\)

1.2. Material properties

Beam	Young’s module
density
Poisson’s ratio »	\(E={2.10}^{11}\mathrm{Pa}\) \(\rho =0\mathrm{kg}/{m}^{3}\) \(\nu =\mathrm{0,3}\)	(zero beam mass)
Mass in \(B\)	\({m}_{B}=50000\mathrm{kg}\)
Mass in \(C\)	\({m}_{C}=5000\mathrm{kg}\)

1.3. Boundary conditions and loads

Point \(A\) recessed.

Accelerated oscillator spectrum applied in \(A\) in all three directions, with the same value for the 3 dampers \(\text{0,5\%}\), \(\text{1\%}\) and \(\text{1,5\%}\).

For the calculation, a damping reduced by \(\text{1\%}\) is used, with an interpolation (LOG LOG) in frequency and (LIN LOG) in damping.