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$$$$ PJBA     NOTICE  CHAT      11/09/12    21:17:37     7124           
                                             DATE     11/09/12

    Operateur PJBA                           Voir aussi : DETR MENA
    --------------                                        OUBL   

   +--------------+
   | 1st function |
   +--------------+
 
    OBJET2  =  PJBA | BAS1 (STRU1 (N1)) | OBJET1 ('LIBR') ;
                    | TAB1              |
                    | MOD1 CAR1         |     
                   
    Description :
    ____________

    The PJBA operator projects forces onto an elementary or
 complex modal basis.

    Contents :
    __________


    BAS1   : modal basis (BASEMODA type)

    STRU1  : structure on which OBJET1 is applied, in case of 
             complex modal basis (STRUCTUR type)

    N1     : substructure number when composed of identical
             substructures

    TAB1   : modal basis (TABLE type, BASE_MODALE subtype)
             at the 'MODES' index : table stemming from the TRADUIRE
             procedure.
                If the pseudo-modes are taken into account
             at the 'PSEUDO_MODES' index : table stemming from the PSMO
             operator.

    MOD1   : describes the modal basis (MMODEL type)

    CAR1   : properties of the modal basis (MCHAML type)

    OBJET1 : force field (CHPOINT or CHARGEMENT subtype). Both the
             points and the components of OBJET1 must be included in the
             basis.

    OBJET2 : object of same type as OBJET1 (except particular cases),
             with the following modal components :

             ALFA  connected with the modes
             BETA  connected with the restrained static solutions
             FBET  connected with the free static solutions 

   'LIBR'  : key word for projecting forces defined in fixed axes,
             in a "revolving" basis 
             (for instance in a calculation in large displacements on
             a revolving basis). In this case, OBJET2 is of LISTCHPO type.


    Note :
    ________

    All the CHPOINT created are 'diffus'.
    The LIBR option works solely with the BASEMODA object.

    In order to define forces applied on the substructures S1, S2, ... ,
 it is required to specify, for each substructure Si, on which
 elementary basis the field of external forces Fi is applied (CHPOINT
 type), so as to calculate the corresponding generalized force FNi.

    For instance, for each substructure Si associated with the modal
 basis Bi :

             Fi =  FORCE ...... ;
             FNi = PJBA Bi Fi  ;
    then :
             FN = FN1 ET FN2 ET ... ;

   +--------------+
   | 2nd function |
   +--------------+

    RIG2 (RIG3) = PJBA RIG1 BAS1 ('REEL');

    RIG5 = PJBA (RIG4)| TAB1      | ;
                      | MOD1 CAR1 |

    Description :
    _____________

    The PJBA operator calculates the projection of a stiffness
on a complex or real eigen mode table. 

    The PJBA operator transposes a relations stiffness RIG4 in the 
basis of static displacements recorded in TAB1 and also 
builds the stiffness connecting the lagragian points associated to
the blockage of the same degree of freedom for the same mesh point.

    Contents :
    _________

    RIG1  : stiffness matrix (RIGIDITE type)

    BAS1 : real or complex eigen mode table (TABLE type, BASE_MODALE
           subtype)

   'REEL': indicates that the projection must be computed using
           the real scalar product (without transposition)

    RIG2 : projected stiffness matrix (RIGIDITE type)
           In case BAS1 is a complex eigen mode table, RIG2 is the
           real part of the projected matrix.

    RIG3 : projected stiffness matrix (RIGIDITE type)
           In case BAS1 is a complex eigen mode table, RIG2 is the
           imaginary part of the projected matrix.

    RIG4 : type RIGIDITE, created with RELA for instance

    TAB1 : type TABLE, subtype 'LIAISONS_STATIQUES'

    MOD1   : describes the modal basis (MMODEL type)

    CAR1   : properties of the modal basis (MCHAML type)

    RIG5 : type RIGIDITE, the geometrical support is composed
of the points associated with the static displacements, while the
coefficients remain unchanged.


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