v3.01.404 SSLL404 - Buckling an arch

Summary

The field of application of this test is structural stability analysis. The structure studied is an arch bent by moments applied at both ends; it is modelled by straight beam elements. The aim is to calculate the critical values of the moments.

The interest of this test lies in the following aspects:

• calculation of a geometric rigidity matrix for elements POU_D_E.

• testing the modal methods of CALC_MODES in stability

• presence of neighboring eigenvalues

The calculated natural loads are compared to values obtained analytically for an Euler-Bernoulli beam model.

In this test, we also validate the option OPTION_INV =” RAYLEIGH “(under SOLVEUR_MODAL) of the CALC_MODES command.

• 1. Reference problem
  • 1.1. Geometry
  • 1.2. Material properties
  • 1.3. Boundary conditions and loading
  • 1.4. Initial conditions
• 2. Reference 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. Tested sizes and results
• 4. Summary of results