The aim of this test case is to validate the following functions:
The simulation results of SimScale were compared to the analytical results derived from [Roark]. The meshes used in (A) and (B) were created with the parametrized-tetrahedralization-tool on the SimScale platform and then downloaded. Both meshes were then rotated and uploaded again. These were used in case (C) and (D). With this method we achieve the exact same mash for the rotated and non-rotated case.
The beam has a cross section
of 0.05 x 0.05 m² and a length
= 1.0 m.
Tool Type : CalculiX/Code_Aster
Analysis Type : Static
Mesh and Element types :
|Case||Mesh type||Number of nodes||Element type|
|(A)||linear tetrahedral||6598||3D isoparametric|
|(B)||quadratic tetrahedral||44494||3D isoparametric|
|(C)||linear tetrahedral||6598||3D isoparametric|
|(D)||quadratic tetrahedral||44494||3D isoparametric|
= 7870 kg/m³
= 9.81 m/s² pointing in the negative z-direction:
= 9.81 m/s² now rotated +45° around the x-axis:
used to solve the problem is derived in [Roark]. In equation
the gravitational load is converted in a line load
Comparison of the displacement at the free end in the direction of the gravitation vector.