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DLS 02: Lozenge – shaped thin plate with one edge fixed – eigenfrequencies

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
Consider a case for each angel α = 15°, 30°, 45°
Mesh Maximum element size 0.05m
Minimum element size 0.00m
How do I model a skew plate?

Results

For α = 15°

Eigen mode Shape Independent reference Diamonds Difference
1 8.999Hz 8.950Hz -0.54%
2 22.171Hz 21.751Hz -1.9%

For α = 30°

Eigen mode Shape Independent reference Diamonds Difference
1 9.899Hz 9.823Hz -0.76%
2 25.465Hz 23.534Hz -7.58%

For α = 45°

Eigen mode Shape Independent reference Diamonds Difference
1 11.121Hz 11.292Hz 1.54%
2 23.390Hz 28.134Hz 6.61%

References

  • Mécaniciens, S. F. D. (1990). Guide de validation des progiciels de calcul des structures: SDLS 02: plaque Losange mince encastrée sur un bord
  • Tested in Diamonds 2024r01.

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