Manual pages | Cast3M

$$$$ CMCT     NOTICE  CHAT      11/09/12    21:15:30     7124           
                                             DATE     11/09/12

    Operateur CMCT                           Voir aussi : MASS RELA
    --------------                                        LUMP   BLOQ   
                                                          INVE   SUPE   
                                                          CHAN   COND   

    -----------------
    | 1th  function |
    -----------------


     Syntax :
     _______
                  
                  RIG3 = 'CMCT' RIG1 CHPO1 ;                   
                     
    Description :
    ____________
   
 The CMCT operator generates the static condensation over the
displacement degres of freedom of the following system
                              t                 
                      |  M   C   |    | U |     | F |
                      |          | x  |   |  =  |   |
                      |  C   0   |    | L |     | d |

where C . U = d are constrains on U
and where M is a diagonale regualr matrix         


       Contents :
       _________

              RIG1 :  contains the term C of the relation 
                      ('Rigidite' type object)

              CHPO1 : contains the equivalent nodal mass inverse
                      for each degre of freedom. 
                      ('Chpoint' type object)
                      (see operator INVE)
 
              RIG2 : contains the resulting matrix [ C M-1 Ct ]
                     acting on the Lagrange multipliers

       Note  :
      _________

The representation of the inverse of M assumes that the name of 
the components are the primale components : for instance UX UY UZ



    ---------------                             
    | 2 Function |
    ---------------

      Syntax :
      ________
                    
                  RIG3 = 'CMCT' RIG1 RIG2 ;                   
                     
       Description :
      ______________
   

 Operator CMCT allows to perform the condensation of rig1 matrix on
 primal d.o.f  of rig2 matrix which define  dependence relations  
 
                [K]U=F 

                [C]  a dependence  matrix  such as  U=[C]V                      
                      
             CMCT  gives back    KP = Ct K C 

    nota : for condensation of RHS see  CHAN COND RIG2 ;

       Contents  :
       _________
       
              RIG1 : matrix containing slave d.o.f

              RIG2 : relations matrix tyiing slaves d.o.f 
        of rig1 matrix   

              
 
              RIG3 : condensed  matrix [ Ct K  C ]
$$$$