v2.05.400 SDLX400 — Articulated beam on elastic support

Summary:

This test consists in calculating the natural frequencies of a beam where one end is articulated and the other is either free or supported on a spring.

The reference solution to this problem is analytical.

The originality of this test is to model this beam using solid elements and beams.

This test includes three models:

• Modeling A: POU_D_E;

• B modeling: 3D and POU_D_E;

• C modeling: POU_D_TG.

The 3D-beam connection is performed by LIAISON_ELEM in the AFFE_CHAR_MECA operator.

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