.. _V2.01.102:

**v2.01.102** SDLD102 - Transitional substructure: System 3 masses-4 springs
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**Summary:**

The field of application of this test concerns the dynamics of structures. It makes it possible to validate the integration schemes with adaptive time steps' ADAPT_ORDRE2 'and' RUNGE_KUTTA_54 'of the transitory calculation operator on a modal basis as well as the linear transient response calculation on a modal basis calculated by substructuration (for the 5 integration schemes:' EULER ',' 'for the 5 integration schemes:' ',' DEVOGE ',' ',' NEWMARK ',' RUNGE_KUTTA_32 'and' ADAPT_ORDRE2 '). In particular, the case of applying reduced damping to the dynamic modes of the substructure projection bases is treated.

The aim is to determine the transient response of a system composed of 3 masses and 4 springs, embedded at its ends and subjected to a constant force from the initial moment. The springs are modelled by elements of type 'DIS_TR' and the masses by elements of type 'DIS_T'.

Six models are proposed. In the third modeling, the structure is depreciated. Transient calculation methods by substructuring with Craig-Bampton ('CRAIGB') and MacNeal ('MNEAL') interfaces are tested. The consideration of option RELA_EFFO_DEPL is also tested in the case of a response calculation by dynamic substructuring. The reference results associated with them are the result of an analytical calculation. In the third, a reduced damping of :math:`\text{1\%}` is imposed on the dynamic modes of the substructure projection bases. The transient equation verified by the complete structure was obtained analytically. Its resolution, which acts as a reference, was achieved by the Maple software.


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    self

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

    Probl_me_de_r_f_rence
    Solution_de_r_f_rence
    Mod_lisation_A
    Mod_lisation_B
    Mod_lisation_C
    Mod_lisation_D
    Mod_lisation_E
    Mod_lisation_F
    Synth_se_des_r_sultats