DLS 01: Square thin plate – eigen modes

Description

Material Modulus of elasticity E=210 000 N/mm^2
Density \rho=7800 kg/m^3
Poisson’s ratio \nu= 0.3
Geometry Cross-section Thickness e = 10mm
Boundary conditions Along line AB Fixed support
Mesh Maximum element size 0.10m
Minimum element size 0.00m

Results

Eigen mode Shape Independent reference Diamonds Difference
1 8,7266Hz 8,6657Hz 0,70%
2 21,3042Hz 21,3191Hz 0,07%
3 53,5542Hz 53,6234Hz 0,13%
4 68,2984Hz 68,7343Hz -0,57%
5 77,7448Hz 78,3880Hz 0,06%
6 136,0471Hz 138,7942Hz -2,22%1
1 The results improve with a smaller mesh size.

References

  • Mécaniciens, S. F. D. (1990). Guide de validation des progiciels de calcul des structures: SDLS 01: plaque carrée mince libre ou encastrée sur un bord
  • Tested in Diamonds 2023r01.

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