.. _V5.01.102:

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


.. toctree::
    :hidden:

    self

.. toctree::
    :maxdepth: 2
    :numbered:

    Probl_me_de_r_f_rence
    Solution_de_r_f_rence
    Mod_lisation_A
    R_sultats_de_la_mod_lisation_A
    Mod_lisation_B
    R_sultats_de_la_mod_lisation_B
    Mod_lisations_C__E
    R_sultats_des_mod_lisations_C__E
    Mod_lisations_D__F
    R_sultats_des_mod_lisations_D__F
    Mod_lisation_G
    R_sultats_de_la_mod_lisation_G
    Modelisation_H
    resultats_modelisation_H
    Synth_se_des_r_sultats