Self-balancing

Self-balancing is usually combined with iso-static restraint. This option automatically adds inertia forces in order to counter balance external loads. Thus the global loading equals null.

Reference:

3D model parabolic hexahedron elements (HE20), computed with CATIA.

Specifications

Geometry Specifications

L = 0.1 m

Analysis Specifications

Young Modulus (material):
E = 200 GPa
Poisson's Ratio (material):
ν = 0.3
Mesh Specifications:

  • Parabolic hexahedron elements (HE20): 5 elements on z

  • Mesh size: 40 mm
Restraints:
Iso-static restraint
Loads:
  • Surface force density on face A along Z: Fz = 100 N/m2
  • Self-balancing activated
 

Results

Analytical Solution

zz: local stress tensor

In uniaxial traction along Z, on surface A:
zz= Fz/SA = 100/(0.1 x 0.1) = 100 N/m2

Reactions to forces which counter balance external loads must be null.

Computed Results

Value

Reference

Parabolic hexahedron HE20

Normalized results

zz

100

100

1

Reactions to displacement restraints are null.

 

To Perform the Test:

The self_balancing.CATAnalysis document presents a complete analysis, computed with a mesh formed of parabolic hexahedron elements (HE20).

To compute the case, proceed as follow:

  1. Open the CATAnalysis document.

  2. Compute the case in the Generative Structural Analysis workbench.