
This test lets you check analysis results for a plane grid,
in the context of an harmonic dynamic response case. You will use a 1D
mesh.
This test is used to validate the following attributes:


Reference:
AFNOR technique, SFM Paris, Guide de validation des
progiciels de calcul de structures, SSLL 04/89, pp.198199, 1990. 

Specifications
Geometry Specifications
Length:
L_{1} = L_{2} = 5 m 

Section IPE 200 :

area = 2.872e^{3} m^{2}

Iy = 1.943e^{5} m^{4}

Iz = 1.424e^{6} m^{4}


The geometry is built with two Parts, inserted in a
Product. The first Part includes the beam AC and the beam DF. The
second Part includes the beam BE. 
Analysis Specifications
Young Modulus (material)
E = 200 GPa 

Poisson's Ratio (material)
ν
= 0.3 
Density:
ρ
= 7800 kg/m^{3} 
Mesh Specifications:

500 mm elements for the three edges

No automatic mesh capture for all

For ball joints B and E, rigid connection property
with transmitted degrees of freedom
Tx = Ty = Tz = 0

Restraints (Userdefined):

Loads:



Results
Frequency Response
Fundamental mode 
Frequency [Hz] 
Error [%] 
Analytical solution 
Computed results 
1 
16.456 
16.410 
0.28 
2 
38.165 
37.941 
0.59 
Harmonic Dynamic Response
Displacement on z axis at f = 12.7324 Hz
Point 
Type of values 
Analytical solution 
Computed results 
Error [%] 
B and E 
W_{B}max [mm] 
98.00 
100.35 
2.4 
G 
W_{G}+W_{G}max [mm] 
227.00 
226.50 
0.2 


To Perform the Test:
The
Harmonic_forced_vibrations_plane_grid.CATAnalysis document presents a
complete analysis of this case.
Proceed as follow:

Open the CATAnalysis document.

Compute the case and generate an image called
Deformed mesh.
