This validation case belongs to solid mechanics, with the case of a circular cantilever beam with two off-center point masses connected at the free end. The test case aims to validate the following parameters:
The simulation results of SimScale were compared to the reference results presented in [NAFEMS]\(^1\)
The geometry used for the case is as follows:
It consists of a straight beam of length 10 \(m\) and a circular, constant cross-section of radius 0.5 \(m\).
Tool Type: Code_aster
Analysis Type: Frequency Analysis
Mesh and Element Types:
The tetrahedral meshes were computed using SimScale’s standard mesh algorithm and manual sizing. The following table shows an overview of the mesh characteristics:
|Case||Mesh Type||Number of Nodes||Element Type|
|A||Standard||32 663||1st order tetrahedral|
|B||Standard||118 696||1st order tetrahedral|
|C||Standard||240 757||2nd order tetrahedral|
The reference solution presented in [NAFEMS]\(^1\) is of the numerical type. It is presented as the first six natural oscillation frequencies of the cantilever beam with the connected remote point mass. The values are presented in Table 2 alongside the comparison with SimScale results.
Comparison of the first six natural frequencies for the run cases with the reference solution:
Following are the deformed shape plots for each mode, as taken from case C:
Last updated: December 6th, 2021
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