v5.02.140 SDNL140 — Damped vibration of two beams in contact and friction

Summary:

This test models the non-linear vibratory response of two beams in contact and friction, subjected to the effect of a force concentrated at one end of the beam. The ultimate goal is to validate the DYNA_NON_LINE command with linear elastic behavior and frictional contact with DEFI_CONTACT. The reference solution is not analytical but comes from a finite element calculation with a method of penalization for contact and an explicit diagram.

The proposed models depend on patterns of finite differences in time and on spatial discretization.

• Modeling \(A\): linear mesh with TETRA4 and HHT diagram (implicit). In this modeling, we test the reference solution as a SOURCE_EXTERNE. We also test various Code_Aster algorithms (POINT_FIXE, NEWTON,, PARTIEL, GCP, PENALISEE) in non-regression.

• Modeling \(B\): quadratic mesh with TETRA10 and HHT diagram (implicit).

• Modeling \(C\): linear mesh with HEXA8 and HHT diagram (implicit).

• 1. Reference problem
  • 1.1. Geometry
  • 1.2. Material properties
  • 1.3. Boundary conditions and loads
  • 1.4. Interface description
• 2. Benchmark solution
  • 2.1. Calculation method used for the reference solution
  • 2.2. Uncertainty about the solution
  • 2.3. References
• 3. Modeling A
  • 3.1. Characteristics of modeling
  • 3.2. Characteristics of the mesh
  • 3.3. Tested sizes and results
• 4. B modeling
  • 4.1. Characteristics of modeling
  • 4.2. Characteristics of the mesh
  • 4.3. Tested sizes and results
• 5. C modeling
  • 5.1. Characteristics of modeling
  • 5.2. Characteristics of the mesh
  • 5.3. Tested sizes and results
• 6. Summaries of results