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  6. DLL 05: Slender beam – cantilever – tapered section – eigenfrequencies

DLL 05: Slender beam – cantilever – tapered section – eigenfrequencies

Description

Material Modulus of elasticity E=200 000 N/mm^2
Density \rho=7850 kg/m^3
Geometry Cross-section In point A b = h = 40 mm
In point B b = h = 10 mm
Boundary conditions In point A Fixed support
Along line AB R_z, M_x and M_y fixed to impose 2D behaviour
Mesh No. of divisions 10

Results

Eigen mode Shape Independent reference Diamonds Difference
1   54,18Hz 53,97Hz -0,39%
2 171,94Hz 171,18Hz -0,44%
3 384,40Hz 382,67Hz -0,45%
4 697,24Hz 693,99Hz -0,47%
5 1112,28Hz 1106,94Hz -0,48%

References

  • Mécaniciens, S. F. D. (1990). Guide de validation des progiciels de calcul des structures: SDLL 09: vibration d’une poutre élancée de section rectangulaire variable (encastrée-libre).
  • Tested in Diamonds 2024r01.

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