This test lets you check modal analysis results for a beam with 3D meshes formed of linear or parabolic hexahedron elements. 

Reference: ABBASSIAN F., Dawswell D.J., Knowles N.C., NAFEMSGlasgow, Free Vibrations Benchmarks, pp438452, November 1987. 

SpecificationsGeometry Specifications

Young Modulus (material): 

Poisson's Ratio (material): 

Density: 

Mesh specifications:


Restraints (Userdefined):

The results of the test are presented in the table below:
Mode 
Reference solution 
Parabolic hexahedron (HE20) 
Linear hexahedron (HE8) 

Frequencies 
Normalized 
Frequencies 
Normalized 

1 
38.2 
38.27 
1.002 
38.28 
1.002 
2 
85.21 
87.67 
1.029 
83.95 
0.985 
3 
152.23 
157.5 
1.035 
157.57 
1.035 
4 
245.53 
259.01 
1.055 
264.92 
1.079 
5 
297.05 
306.06 
1.030 
298.33 
1.004 
To Perform the Test:
The Deep_simply_supported_solid_beam_HE8.CATAnalysis document presents a complete analysis of this case, computed with a mesh formed of linear hexahedron elements (HE8).
To compute the analysis with parabolic hexahedron elements (HE20), open the Deep_simply_supported_solid_beam.CATPart document, and proceed as follow:
Define the mesh for the 2D surface presented in the CATPart document, using the Surface Meshing workshop in the Advanced Meshing Tools workbench.
Extrude the mesh to obtain a 3D mesh.
Define analysis specifications as indicated below.
Compute the CATAnalysis and generate an image called Deformed mesh.
For a 3D hexahedron mesh, you need to create a mesh on a 2D part, then to extrude it with the Extrude Mesher in Translation icon, in the Advanced Meshing Tools workbench.