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DLX 05: Thin circle – fixed on elastic plate – eigenfrequencies

Description


Material   Modulus of elasticity E=72 000 N/mm^2
  Density \rho=2700 kg/m^3
Geometry Cross-section For the circle b = 10 mm and h = 5 mm
  For the connecting plate b = 10 mm and h = 3 mm
Boundary conditions In point A Fixed support
  Along the entire edge R_z, M_x and M_y fixed to impose 2D behaviour
Mesh   No. of divisions 8

Results

Eigen mode Shape Independent reference Diamonds Difference
1 28.8Hz 28.9Hz -0.35%
2 189.3Hz 190.0Hz -0.37%
3 286.8Hz 270.0Hz 6.22%
4 641.0Hz 643.6Hz -0.4%
5 682.0Hz 684.2Hz -0.32%
6 1063.0Hz 1065.5Hz -0.23%

References

  • Mécaniciens, S. F. D. (1990). Guide de validation des progiciels de calcul des structures: SDLL 13: anneau circulaire mince suspendu par une patte élastique
  • Tested in Diamonds 2023r01.

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