Modeling A ============== Characteristics of modeling ----------------------------------- DKT cases .. image:: images/100009AA00001EB2000010549D9AF6E4C4480967.svg :width: 396 :height: 210 .. _RefImage_100009AA00001EB2000010549D9AF6E4C4480967.svg: Discretized geometry is shown above. Elements DKT are 3-node planar facets. The number of knots on the meridian and on the equator is: 34. The boundary conditions applied on the three borders correspond to the symmetry conditions (movements and rotations blocked). Characteristics of the mesh ---------------------------- Number of knots: 1128 Number of meshes and types: 2125 TRIA3 Tested sizes and results ------------------------------ (Frequencies in hertz) +-------------------------------------------------------------------------------------------------------------------+-------------+------------------------------------------------------------------------------------+-----------------------------------------------------------------------------+ |**Value of the parameter i of the reference solution** |**Reference**|**Aster** |**% difference** | +-------------------------------------------------------------------------------------------------------------------+-------------+------------------------------------------------------------------------------------+-----------------------------------------------------------------------------+ | |237.25 |237.24 |—0.005 | + .. image:: images/1000013E0000043D00000457BE72D72908E213E9.svg + + + + | :width: 396 | | 237.24 | —0.003 | + :height: 210 + + + + | | | | | + + + + + | | | | | +-------------------------------------------------------------------------------------------------------------------+-------------+------------------------------------------------------------------------------------+-----------------------------------------------------------------------------+ |2 | | | | +-------------------------------------------------------------------------------------------------------------------+-------------+------------------------------------------------------------------------------------+-----------------------------------------------------------------------------+ |3 |282.85 |not obtained [] | | +-------------------------------------------------------------------------------------------------------------------+-------------+------------------------------------------------------------------------------------+-----------------------------------------------------------------------------+ |4 |305.24 |304.97 |—0.089 | + + + + + | | | 304.99 305.08 | —0.080 —0.054 | + + + + + | | | | | +-------------------------------------------------------------------------------------------------------------------+-------------+------------------------------------------------------------------------------------+-----------------------------------------------------------------------------+ |5 |324.17 |not obtained [] | | +-------------------------------------------------------------------------------------------------------------------+-------------+------------------------------------------------------------------------------------+-----------------------------------------------------------------------------+ |6 |346.76 |346.11 |—0.186 | + + + + + | | | 346.12 346.12 346.12 346.30 346.38 | —0.185 —0.185 —0.133 —0.108 | + + + + + | | | | | +-------------------------------------------------------------------------------------------------------------------+-------------+------------------------------------------------------------------------------------+-----------------------------------------------------------------------------+ |7 |376.68 |not obtained [] | | +-------------------------------------------------------------------------------------------------------------------+-------------+------------------------------------------------------------------------------------+-----------------------------------------------------------------------------+ |8 |416.00 |414.89 |—0.266 | + + + + + | | | 414.92 414.92 415.16 415.16 415.24 415.33 | —0.259 —0.259 —0.201 —0.201 —0.183 —0.161 | + + + + + | | | | | +-------------------------------------------------------------------------------------------------------------------+-------------+------------------------------------------------------------------------------------+-----------------------------------------------------------------------------+ |9 |465.75 |not obtained [] | | +-------------------------------------------------------------------------------------------------------------------+-------------+------------------------------------------------------------------------------------+-----------------------------------------------------------------------------+ |10 |526.20 |524.34 |—0.353 | + + + + + | | | 524.43 524.43 524.43 524.43 524.71 524.71 524.94 524.97 525.12 | —0.337 —0.337 —0.283 —0.283 —0.283 —0.240 —0.234 —0.205 | + + + + + | | | | | +-------------------------------------------------------------------------------------------------------------------+-------------+------------------------------------------------------------------------------------+-----------------------------------------------------------------------------+ notes --------- The reference solution does not give the multiplicity of modes. With the calculations, orders of multiplicity are observed which increase with the value of the frequency. Modes 3, 5, 7, 9 are not obtained because of the boundary conditions chosen for this model, with the three planes of symmetry.