Resolution
====


Linear calculations: MECA_STATIQUE and other linear operators
----

Linear calculations are performed in small deformations. Several linear resolution operators are available for the following studies:

*   **Static analysis: MECA_STATIQUE/MACRO_ELAS_MULT operators**

    Solving a linear static mechanics problem.

    Test cases:
        + SDLD105A [:ref:`V2.01.105<v2.01.105>`]

*   **Modal analysis: operators MODE_ITER_SIMULT/MODE_ITER_INV**

    Calculation of eigenvalues and eigenvectors.

    Test cases:
        + SDLD27A /E [:ref:`V2.01.027<v2.01.027>`]

*   **Dynamic analysis: operators DYNA_VIBRA/TRAN/PHYS**

    Calculation of the transient dynamic response to any temporal excitation.

    Test cases:
        + SDLD106A [V2.01.106]

*   **Dynamic analysis: operators DYNA_VIBRA/HARM/PHYS**

    Calculation of the dynamic transient response to harmonic excitation.

    Test cases:
        + SDLD106A [:ref:`V2.01.106<v2.01.106>`]

*   **Dynamic analysis: operators DYNA_VIBRA/TRAN/GENE**

    Calculation of the dynamic transient response to a temporal excitation on a modal basis

    Test cases:
        + SDLD22A [:ref:`V2.01.022<v2.01.022>`]

*   **Dynamic analysis: operators DYNA_VIBRA/HARM/GENE**

    Calculation of the dynamic transient response to harmonic excitation on a modal basis.

    Test cases:
        + SDLD21B [:ref:`V2.01.021<v2.01.021>`]


Nonlinear calculations: STAT_NON_LINE and DYNA_NON_LINE
----
For non-linear laws of behavior, cf. §2.1.4, nonlinear operators must be used:

*   **Static analysis: STAT_NON_LINE operators**

    Calculation of the nonlinear static response

    Test cases:
        + SSNV503 [:ref:`V6.04.503<v6.04.503>`]

*   **Dynamic analysis: operators DYNA_NON_LINE**

    Calculation of the nonlinear dynamic response

    Test cases:
        + SSNV104 [:ref:`V5.03.104<v5.03.104>`]


Explicit nonlinear calculations on a modal basis: DYNA_VIBRA (TRAN/GENE)
----
Some non-linear behaviors for discrete elements can be used in the dynamic operator DYNA_VIBRA. In this case, the modeling of discrete elements is not mandatory and the law of behavior can be defined directly between two nodes or groups of nodes:

*   Modeling a CHOC: study of structures whose movements are limited at one or more points by the presence of an obstacle.

    Test case:
        + SDND104A [:ref:`V5.01.104<v5.01.104>`]

*   Modeling of a non-linear viscous damper of the*Zener* type.

    Test case:
        + SDND107C [:ref:`V5.01.107<v5.01.107>`]

*   Modeling of a nonlinearity such as effort-displacement.

    Test case:
        + SDND103A [:ref:`V5.01.103<v5.01.103>`]