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$$$$ RIGI     NOTICE  CHAT      11/09/12    21:18:00     7124           
                                             DATE     11/09/12
                                             
    Operateur RIGIDITE                       Voir aussi : MATE MODE
    ------------------                                    CARA  MEC3   
      RIG1 =  RIGI  MODL1  CHAM1 ( CHAM2 ) ;


    Description :
    ____________

    The RIGI operator calculates the RIGIDITE (stiffness) for
 different objects :

    --------------------
    |  Finite elements |
    --------------------

      Contents :
      _________


      MODL1  : model object (MMODEL type).

      CHAM1  : Field of material and, when necessary, geometrical
               properties for some elements (see note below)
               (MCHAML type, CARACTERISTIQUES subtype), or of
               Hooke's matrices (MCHAML type, MATRICE DE HOOKE
               subtype).
               

      CHAM2  : Field of properties (MCHAML type, 
               CARACTERISTIQUES subtype) required for some elements
               (see note below) when CHAM1 is a Hooke's matrix
               field.

      RIG1   : Result of RIGIDITE type and RIGIDITE subtype.


      Note :
      _______

      The properties must be specified whenever the geometrical 
      description of the element is not possible by means of the 
      mesh, for instance, the thickness of plate elements, or the
      bending inertias for the beam elements etc...


    ----------------------------
    |  Additional stiffnesses  |
    ----------------------------

    RIG1 = RIGI    |  ('DEPL') ('ROTA')  |  VAL   GEO1   ;
                   |   NOMINC ...        |

    Contents :
    __________


    'DEPL'     : key word for referring to all the translations

    'ROTA'     : key word for referring to all the rotations

     NOMINC    : one or several names (MOT type) referring to the
                 involved degrees of freedom  (in this case, do not
                 use the two aforementioned key words).

     The possible names for the unknowns are :

     for a computation in MODE PLAN CONT :  UX   UY
     for a computation in MODE PLAN DEFO :  UX   UY
     for a computation in MODE AXIS      :  UR   UZ   RT
     for a computation in MODE FOUR      :  UR   UZ   UT   RT
     for a computation in MODE TRID      :  UX   UY   UZ   RX   RY   RZ


     VAL       : additional stiffness (FLOTTANT type).

     GEO1      : object composed of the nodes in which the 
                 stiffnesses will be added (POINT or MAILLAGE type).

     RIG1      : RIGIDITE type object of RIGIDITE subtype.


    -------------------
    |  Modal analysis |
    -------------------


    RIG2 = RIGI BAS1 ;
    RIG3 = RIGI SOL1 ;
    RIG4 = RIGI SOL2 STRU1 ;

    RIG5 = RIGI TAB1 ;

    RIG6 = RIGI TAB2 (TAB3) ;
    Contents :
    _________

    RIG2 is the set of stiffness matrices pertaining to the BAS1 modal
 base. The BAS1 modal base is given as a BASEMODA object.

    RIG3 is the stiffness due to the modes (generalized stiffnesses) 
 contained in the SOL1 object (SOLUTION type, MODE subtype).

    RIG4 is the stiffness due to the coupling of the static solutions
 contained in the SOL2 object (SOLUTION type, SOLUSTAT subtype)
 on the STRU1 structure (STRUCTUR type).

    RIG5 is the stiffness due to the modes (generalized stiffnesses)
 contained in the TAB1 object (TABLE type, 'BASE_DE_MODES' subtype).

    RIG6 is the stiffness computed in the basis of displacements
enclosed in TAB2 (type TABLE) either of subtype 'BASE_MODALE' or
subtype 'LIAISONS_STATIQUES'. When TAB3 is given so that both
subtypes are present, cross terms are also computed.

    Note :
    _______

    The geometrical supports for RIG2, RIG3 and RIG4 are composed of
 the points associated with the modes or to the links defined between
 the structures. The 'ALFA' component is associated with the mode,
 'BETA' with a linkage on free nodes, and 'FBET' with a linkage on
 restrained nodes.

    The geometrical support of RIG6 is composed of the points
associated with the static or eigen modes displacements. The
components 'BETA', dual 'FBET' refer to the first ones, 'ALFA', dual
'FALF' to the second ones.
 
 
 

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