1. Reference problem#

1.1. Geometry#

_images/Shape1.gif

  • Beam:

\(L=0.9m\)

\(r=0.025m\)

1.2. Material properties#

  • Beam

  • \(E=2.06\mathrm{E11}\mathrm{Pa}\) Young’s module

  • \(\nu =0.\) Poisson’s ratio

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

  • Disc

    • \(m=0.03829\mathrm{Kg}\)

    • mass inertia tensor

    • \({I}_{\mathrm{yy}}=1.8\times {10}^{-6}{\mathrm{Kg.m}}^{2}\)

    • \({I}_{\mathrm{yy}}=1.8\times {10}^{-6}{\mathrm{Kg.m}}^{2}\)

    • \({I}_{\mathrm{zz}}=1.8\times {10}^{-6}{\mathrm{Kg.m}}^{2}\)

    • \({I}_{\mathrm{xy}}={I}_{\mathrm{yz}}={I}_{\mathrm{xz}}=0.\)

1.3. Boundary conditions and loads#

Mandatory trips \((m)\):

Points \(A\) and \(B\): \(\mathrm{DX}=\mathrm{DY}=\mathrm{DZ}=0\)

rotation speed:

\(\omega =10000\mathrm{tr}/\mathrm{mn}\)