Examples ==== The test cases selected illustrate the different possible uses of discrete elements. Mass elements ---- * **Modeling a point mass M_T_D_N** .. figure:: figures/u2.02.03_LacherMasseRessort.png :width: 50% :align: center :name: LacherMasseRessort Release with a simple spring weight. Test case: + SDLD34 [:ref:`V2.01.034`] + Modelling: + SDLD34A DIS_T/M_T_D_N + SDLD34B DIS_T/M_T_D_N * **Modeling a rotating M_TR_D_N point** .. figure:: figures/u2.02.03_FrequenceGyroscopie.png :width: 50% :align: center :name: FrequenceGyroscopie Frequency of a simplified shaft line with gyroscopy. Test case: + SDLL123 [:ref:`V2.02.123`] + Modelling: + SDLL123A DIS_TR/M_TR_D_N + SDLL123B DIS_TR/M_TR_D_N + SDLL123C DIS_TR/M_TR_D_N + SDLL123D DIS_TR/M_TR_D_N + SDLL123E DIS_TR/M_TR_D_N + SDLL123F DIS_TR/M_TR_D_N * **Eccentric mass modelling** .. figure:: figures/u2.02.03_MasseExcentree.png :width: 50% :align: center :name: MasseExcentree Slender, free-embedded beam with eccentric mass or inertia. Test case: + SDLL15 [:ref:`V2.02.015`] + Modelling: + SDLL15A DIS_TR/M_TR_D_N Stiffness elements ---- * **Support stiffness modelling** .. figure:: figures/u2.02.03_RaideursAppuis.png :width: 50% :align: center :name: RaideursAppuis Beam subject to a wind speed field. Test case: + SDNL102 [:ref:`V5.02.102`] + Modelling: + SDNL102A DIS_T/K_T_D_L * **Modeling of non-symmetric stiffness and damping matries** .. figure:: figures/u2.02.03_RaideursAmortissement.png :width: 50% :align: center :name: RaideursAmortissement Harmonic response of a rotor with two disks and two non-symmetric bearings, subject to the gyroscopic effect. Test case: + SHLL103A [:ref:`V2.06.103`] + Modelling: + SHLL103A DIS_TR/K_TR_N/A_TR_N * **Modeling simple structural elements** .. figure:: figures/u2.02.03_ElementStructure.png :width: 50% :align: center :name: ElementStructure Identification of fluid forces on a wire structure. Test case: + SDLS139A [:ref:`V2.03.139`] + Modelling: + SDLS139A DIS_TR/K_TR_D_N * **Modeling of distributed ground stiffness** .. figure:: figures/u2.02.03_RaideurSol.png :width: 50% :align: center :name: RaideurSol Response of a rigid circular foundation to a seismic excitation that varies in space. Test case: + SDLS118 [:ref:`V2.03.118`] + Modelling: + SDLS118C DIS_TR/K_TR_D_N + SDLS118D DIS_TR/K_TR_D_N * **Modeling of distributed ground stiffness with detachment** .. figure:: figures/u2.02.03_RaideurSolDecollement.png :width: 50% :align: center :name: RaideurSolDecollement Non-deformable plate on a spring mat. Test case: + SSNL130 [:ref:`V6.02.130`] + Modelling: + SSNL130A DIS_T/K_T_D_L + SSNL130B 2D_DIS_T/K_T_D_L Note: Use of the DIS_CHOC law * **Modeling a bolted assembly** .. figure:: figures/u2.02.03_ConsoleMekelec.png :width: 50% :align: center :name: ConsoleMekelec Determination of the ruin loads of the console MEKELEC. Test case: + SSNL135 [:ref:`V3.03.020`] + Modelling: + SSNL135A DIS_TR + SSNL135B DIS_TR + SSNL135C DIS_TR Note: Each bolt is represented by a discrete element of zero length and its stiffness K_TR_D_L. * **Modeling a rotor crack** .. figure:: figures/u2.02.03_FissureRotor01.png :width: 50% :align: center :name: FissureRotor01 .. figure:: figures/u2.02.03_FissureRotor02.png :width: 50% :align: center :name: FissureRotor02 Rotating cracked rotor, subjected to a bending force. Test case: + SDNL133 [:ref:`V5.02.133`] + Modelling: + SDNL133A DIS_TR Note: See the documentation Instructions for implementing rotor calculations [:ref:`U2.06.32`]. Damping elements ---- The documentation for modeling mechanical damping is: * [:ref:`R5.05.04`] Modeling damping in linear dynamics * [:ref:`U2.06.03`] Mechanical damping modeling instructions **Viscous damping modelling** .. figure:: figures/u2.02.03_AmortissementVisqueux.png :width: 50% :align: center :name: AmortissementVisqueux Transient dynamic response of a harmonic oscillator with variable damping Test case: + SDLD321 [:ref:`V2.01.321`] + Modelling: + SDLD321A DIS_T/K_T_D_L M_T_L A_T_D_L + SDLD321B DIS_T/K_T_D_L M_T_L A_T_D_L + SDLD321C DIS_T/K_T_D_L M_T_L A_T_D_L **Hysteretic damping modelling** .. figure:: figures/u2.02.03_AmortissementHysteretique.png :width: 50% :align: center :name: AmortissementHysteretique 2 degrees of freedom spring mass system with hysteretic damping Test case: + SDLD313 [:ref:`V2.01.313`] + Modelling: + SDLD313A DIS_T/K_T_D_L M_T_L Other uses ---- Charging application or point boundary conditions. ^^^^ * **Cracked cylinder under multiple loads** .. figure:: figures/u2.02.03_CylindreFissure.png :width: 30% :align: center :name: CylindreFissure Cracked cylinder under multiple loads Test case: + SSNV166 [:ref:`V6.04.166`] + Modelling: zero stiffness and mass + SSNV166A DIS_TR/K_TR_D_N M_TR_D_N + SSNV166B DIS_TR/K_TR_D_N M_TR_D_N + SSNV166C DIS_TR/K_TR_D_N M_TR_D_N In this 3D model, a loading of torsional and flexure is applied to the upper face of the cylinder via a POI1 mesh and a LIAISON_ELEM connection. * **Dynamic response of a free-standing recessed pipe girder.** .. figure:: figures/u2.02.03_PoutreTuyau.png :width: 50% :align: center :name: PoutreTuyau Dynamic response of a free-standing recessed pipe girder. Test case: + SDLL135 [:ref:`V2.02.135`] + Modelling: zero stiffness and mass + SDLL135F DIS_TR/K_TR_D_N M_TR_D_N In this model DKT, the nodes located in section A are linked (LIAISON_ELEM) to a discrete element DIS_TR (dot type mesh POI1 located in A) with 6 degrees of freedom, which is totally fixed to it. * **Modeling a model made up of nodes for the projection of results** .. figure:: figures/u2.02.03_JaugeDeformation.png :width: 50% :align: center :name: JaugeDeformation Simulation of a strain gauge using the OBSERVATION command. Test case: + SDLV131 [:ref:`V2.04.131`] + Modelling: zero stiffness and mass + SDLV131A DIS_T + SDLV131B DIS_T + SDLV131C DIS_T + SDLV131D DIS_T Creation of a numerical model for the comparison of experimental results. ^^^^ * SDLS112B: Extrapolation of measurements on a 2D model (GARTEUR test) * SDLV122A: Extrapolation of local measurements onto a complete (3D) model [:ref:`V2.04.122`]. * SDLD104A /B: Extrapolation of local measurements on a complete (discrete) model. Taking into account the contact (via operator DEFI_CONTACT) between two POI1 meshes of zero stiffness. .. figure:: figures/u2.02.03_PlaqueEncastree.png :width: 50% :align: center :name: PlaqueEncastree Embedded plate subjected to bending by beams in contact with the free edge. Test case: + SSNL107 [:ref:`V2.04.131`] + Modelling: + SSNL107A DIS_TR + SSNL107B DIS_TR + SSNL107C DIS_TR