v2.07.100 SHLV100 - Harmonic response of a hollow cylinder in plane deformations

Summary:

This three-dimensional axisymmetric test makes it possible to validate the calculations of stiffness, mass and pressure vectors matrices on all elements \(\mathrm{3D}\) and \(\mathrm{2D}\) plane and axisymmetric deformations (10 models).

Travel is required:

• or by degrees of freedom,

• or per element face.

For all four 3D models, the pressures applied are provided with the minus sign because the \(\mathrm{3D}\) element faces are misoriented in the mesh files used.

• 1. Reference problem
  • 1.1. Geometry
  • 1.2. Material properties
  • 1.3. Boundary conditions and loads
  • 1.4. Initial conditions
• 2. Benchmark solution
  • 2.1. Calculation method used for the reference solution
  • 2.2. Benchmark results
  • 2.3. Uncertainty about the solution
  • 2.4. Bibliographical references
• 3. Modeling A
  • 3.1. Characteristics of modeling
  • 3.2. Characteristics of the mesh
  • 3.3. notes
  • 3.4. Tested sizes and results
  • 3.5. notes
• 4. B modeling
  • 4.1. Characteristics of modeling
  • 4.2. Characteristics of the mesh
  • 4.3. notes
  • 4.4. Tested sizes and results
• 5. C modeling
  • 5.1. Characteristics of modeling
  • 5.2. Characteristics of the mesh
  • 5.3. notes
  • 5.4. Tested sizes and results
  • 5.5. notes
• 6. D modeling
  • 6.1. Characteristics of modeling
  • 6.2. Characteristics of the mesh
  • 6.3. notes
  • 6.4. Tested sizes and results
  • 6.5. notes
• 7. E modeling
  • 7.1. Characteristics of modeling
  • 7.2. Characteristics of the mesh
  • 7.3. Tested sizes and results
  • 7.4. notes
• 8. F modeling
  • 8.1. Characteristics of modeling
  • 8.2. Characteristics of the mesh
  • 8.3. Tested sizes and results
• 9. G modeling
  • 9.1. Characteristics of modeling
  • 9.2. Characteristics of the mesh
  • 9.3. Tested sizes and results
• 10. H modeling
  • 10.1. Characteristics of modeling
  • 10.2. Characteristics of the mesh
  • 10.3. Tested sizes and results
• 11. Modeling I
  • 11.1. Characteristics of modeling
  • 11.2. Characteristics of the mesh
  • 11.3. Tested sizes and results
• 12. J modeling
  • 12.1. Characteristics of modeling
  • 12.2. Characteristics of the mesh
  • 12.3. Tested sizes and results
• 13. Summary of results