psumg3.F

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!||====================================================================
!||    psumg3   ../engine/source/elements/beam/psumg3.F
!||--- called by ------------------------------------------------------
!||    pke3     ../engine/source/elements/beam/pke3.F
!||====================================================================
      SUBROUTINE psumg3(JFT    ,JLT    ,YM      ,G      ,AREA   ,
     2                  B1     ,B2     ,B3      ,AL     ,ALI    ,
     3                  SH1    ,SH2    ,R11     ,R12    ,R13    ,
     4                  R21    ,R22    ,R23     ,R31    ,R32    ,
     5                  R33    ,KE11   ,KE12    ,KE22   )
C-----------------------------------------------
#include      "implicit_f.inc"
#include      "mvsiz_p.inc"
C-----------------------------------------------
C   D U M M Y   A R G U M E N T S
C-----------------------------------------------
      INTEGER JFT,JLT
      my_real YM(*),G(*),AL(*),ALI(*),SH1(*),SH2(*),AREA(*),B1(*),B2(*),B3(*),
     .        R11(*),R12(*),R13(*),R21(*),R22(*),R23(*),R31(*),R32(*),R33(*)
       my_real KE11(6,6,*),KE22(6,6,*),KE12(6,6,*)
C-----------------------------------------------
C   L O C A L   V A R I A B L E S
C-----------------------------------------------
      INTEGER I,J,EP,MI,MJ
      my_real Q(3,3,MVSIZ),K11(3,MVSIZ),M11(3,MVSIZ),MF32(MVSIZ),M12(3,MVSIZ),MF23(MVSIZ),AL2,ELI,Q1,Q2,Q3,MF11(3,3,MVSIZ)
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8
C--- B1 : Iyy ;B2 : Izz ;B3 : Ixx ;
       DO i=jft,jlt
         al2= al(i)*al(i)
         eli = ym(i)*ali(i)
         k11(1,i)=eli*area(i)
         k11(2,i)=sh2(i)*ali(i)
         k11(3,i)=sh1(i)*ali(i)
         m11(1,i)=g(i)*b3(i)*ali(i)
         m11(2,i)=fourth*al(i)*sh1(i)+eli*b1(i)
         m11(3,i)=fourth*al(i)*sh2(i)+eli*b2(i)
         mf23(i)=half*sh2(i)
         mf32(i)=half*sh1(i)
         m12(1,i)=-m11(1,i)
         m12(2,i)=al(i)*mf32(i)-m11(2,i)
         m12(3,i)=al(i)*mf23(i)-m11(3,i)
         mf32(i)=-mf32(i)
       ENDDO
C---------------------------------------
C   TRANS LOCAL-->GLOBAL 
C---------------------------------------
       DO i=jft,jlt
         q(1,1,i)=r11(i)
         q(1,2,i)=r21(i)
         q(1,3,i)=r31(i)
         q(2,1,i)=r12(i)
         q(2,2,i)=r22(i)
         q(2,3,i)=r32(i)
         q(3,1,i)=r13(i)
         q(3,2,i)=r23(i)
         q(3,3,i)=r33(i)
       ENDDO 
C---------------------------------------
C   ASSEMBLAGE
C---------------------------------------
C---------KII ----Keij=QkiQkj*Kkk---M12 est diag- 
       DO i=1,3 
         mi=i+3
         DO j=i,3
           mj=j+3
           DO ep=jft,jlt
             q1 =q(1,i,ep)*q(1,j,ep)
             q2 =q(2,i,ep)*q(2,j,ep)
             q3 =q(3,i,ep)*q(3,j,ep)
             ke11(i,j,ep)=q1*k11(1,ep)+q2*k11(2,ep)+q3*k11(3,ep)
             ke11(mi,mj,ep)=q1*m11(1,ep)+q2*m11(2,ep)+q3*m11(3,ep)
             ke12(mi,mj,ep)=q1*m12(1,ep)+q2*m12(2,ep)+q3*m12(3,ep)
             ke22(i,j,ep)=ke11(i,j,ep)
             ke22(mi,mj,ep)=ke11(mi,mj,ep)
           ENDDO
         ENDDO
       ENDDO
C---------K23>0,K32>0-------------------------
       DO i=1,3 
         DO j=1,3
           DO ep=jft,jlt
             mf11(i,j,ep)=q(2,i,ep)*mf23(ep)*q(3,j,ep)+q(3,i,ep)*mf32(ep)*q(2,j,ep)
           ENDDO
         ENDDO
       ENDDO
 
       DO i=1,3 
         DO j=1,3
           mj=j+3
           DO ep=jft,jlt
             ke11(i,mj,ep)=mf11(i,j,ep)
             ke22(i,mj,ep)=-mf11(i,j,ep)
           ENDDO
         ENDDO
       ENDDO
 
       DO i=1,6 
         DO j=i,6
           DO ep=jft,jlt
             ke11(j,i,ep)=ke11(i,j,ep)
             ke22(j,i,ep)=ke22(i,j,ep)
           ENDDO
         ENDDO
       ENDDO
       !---------KIJ --------
       DO i=1,3 
         mi=i+3
         DO j=1,3
           mj=j+3
           DO ep=jft,jlt
             ke12(i,j,ep)=-ke11(i,j,ep)
             ke12(i,mj,ep)=mf11(i,j,ep)
             ke12(mi,j,ep)=-mf11(j,i,ep)
           ENDDO
         ENDDO
       ENDDO
       DO ep=jft,jlt
          ke12(5,4,ep)=ke12(4,5,ep)
          ke12(6,4,ep)=ke12(4,6,ep)
          ke12(6,5,ep)=ke12(5,6,ep)
       ENDDO
 
      RETURN
      END