v5.01.102 SDND102 - Seismic response of a multi-supported nonlinear mass-spring system

Summary

The problem consists in analyzing the response of a mechanical structure, modelled by two undamped mass-spring systems, subjected to a harmonic seismic loading, with the possibility of shock.

We test the discrete element in traction-compression, the calculation of natural modes and static modes, the calculation of the transient response by non-linear modal recombination of a structure subjected to an accelerogram (modeling A) as well as the calculation of the direct transient seismic response of a non-linear structure (modeling B) as well as the calculation of the direct transient seismic response of a non-linear structure (modeling B).

This test case is also used to validate a calculation with explicit resolution on accelerations and shocks (C and D models) by comparing the results respectively from DYNA_NON_LINE with an implicit time scheme, then explicit non-dissipative of the centered differences and, finally, explicit dissipative of the centered differences and, finally, explicit dissipative of TCHAMWA.

The A, B, C, D models use the DIS_CHOC behavior.

The E and F models are the same as the C and D models respectively, with behavior DIS_CONTACT.

G and H modeling tests behavior CHOC_ENDO_PENA. The material data (in particular stiffness and masses) are those of the sdnd109 test and therefore differ from other models. For its part, the signal has been modified to introduce an increase in amplitude over time.

The results obtained are in very good agreement with the reference results.

• 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
• 4. Results of modeling A
  • 4.1. Tested values of modeling A
• 5. B modeling
  • 5.1. Characteristics of modeling
  • 5.2. Characteristics of the mesh
• 6. B modeling results
  • 6.1. Model B tested values
• 7. C, E models
  • 7.1. Characteristics of the models
  • 7.2. Characteristics of the mesh
• 8. Results of C, E models
  • 8.1. Tested values of C, E modeling
• 9. D, F models
  • 9.1. Characteristics of modeling
• 10. Results of D, F models
  • 10.1. Tested values of D, F models
• 11. G modeling
  • 11.1. Characteristics of G modeling
• 12. G modeling results
  • 12.1. Tested values of the G modeling
• 13. H modeling
  • 13.1. Characteristics of H modeling
• 14. H modeling results
  • 14.1. Tested values of the H modeling
• 15. Summary of results