Reference problem ===================== Geometry --------- .. code-block:: text The geometry of the mean surface of the structure of revolution is defined by two hyperbola arcs. Dimension values are given by: +-----------------------------------------------------------------------------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | | .. code:: | + .. image:: images/Object_1.svg + + | :width: 264 | :math:`\mathrm{ra}=55.587m` | + :height: 336 + + | | :math:`\mathrm{rb}=37.515m` | + + + | | :math:`\mathrm{rc}=35.532m` | + + + | | :math:`\mathrm{h1}=30.16m` | + + + | | :math:`\mathrm{h2}=107.01m` | + + + | | :math:`\mathrm{ep}=0.305m` | +-----------------------------------------------------------------------------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ .. code-block:: text Material properties ------------------------ Isotropic homogeneous elasticity :math:`E=27600\mathit{MPa}`; :math:`\nu =0.166`; :math:`\rho =2244\mathit{kg}/{m}^{3}`. Boundary conditions and loading ------------------------------------ **Boundary conditions** Installation of the air cooler at ground level. **Loading** The air cooler is subjected to a drive excitation in the :math:`x` "single-support" direction. The calculation is carried out from the speed response spectrum [:ref:`Figure 1.3-a
`], producing the absolute pseudo-acceleration response spectrum [:ref:`Figure 1.3-b
`]. The peak of the spectrum is at :math:`\mathrm{4,58077}m/{s}^{2}` to :math:`\mathrm{3,88}\mathit{Hz}`. The PGA is :math:`\mathrm{1,95501}m/{s}^{2}` to :math:`50\mathit{Hz}`. The cutoff frequency considered is :math:`33\mathit{Hz}`. .. image:: images/100000000000030D0000021DCBEAD5E22CC6C79C.png :width: 614 :height: 425 .. _RefImage_100000000000030D0000021DCBEAD5E22CC6C79C.png: **Figure 1.3-a: Velocity response spectrum.** .. image:: images/100002000000054600000299E5659D35906591C5.png :width: 6.1189in :height: 3.0138in .. _RefImage_100002000000054600000299E5659D35906591C5.png: Figure 1.3- **b**: Response spectrum in **absolute pseudo-acceleration.**