DLX 03: Planar frame – dynamic response

Description

Material Modulus of elasticity E=200 000 N/mm^2
Density \rho=7800 kg/m^3
Poisson’s ratio \nu= 0.3
Geometry Cross-section Area A = 2872 mm^2
Moment of inertia I = 19 400 000 mm^4
Boundary conditions Points A Simple supports
Loads In point C Sinusoidal force with amplitude F=100kN and frequency of 12.732Hz

Damping: 5%

Mesh No. of divisions 20

Results

Eigen modes

Eigen mode1 Shape Independent reference Diamonds1 Difference
1 16.46Hz 16,33Hz -0,79%
2 38,17Hz 36,66Hz -3,96%
1 Only the modes relevant for the dynamic response are listed in this table

Dynamic response

Deformation \delta_y due to the dynamic load in Diamonds

Location Which result Independent reference Diamonds Difference
B Deformation \delta_y 98 mm 99,8mm 1.84%
C Deformation \delta_y 227 mm 225,2mm -0,79%

References

  • Mécaniciens, S. F. D. (1990). Guide de validation des progiciels de calcul des structures: SDLL 08: grillage plan de poutres.
  • Tested in Diamonds 2023r01.

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