3. Resolution#

3.1. 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:

  • Modal analysis: operators MODE_ITER_SIMULT/MODE_ITER_INV

    Calculation of eigenvalues and eigenvectors.

    Test cases:

    • SDLD27A /E [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 [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 [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:

3.2. 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 [V6.04.503]

  • Dynamic analysis: operators DYNA_NON_LINE

    Calculation of the nonlinear dynamic response

    Test cases:

    • SSNV104 [V5.03.104]

3.3. 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 [V5.01.104]

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

    Test case:

  • Modeling of a nonlinearity such as effort-displacement.

    Test case: