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SUBROUTINE SHSETD (*,MM,SIL,BGPDT,IGPDT,GPTH,ELTH,GPTEMP,BGPDM,
1 EGPDT,DGPTH,GPNORM,EPNORM,NNODE,MMN,NSIL,
2 IORDER,IORDRN,TEB,TUB,CENTE,AVGTHK,TCE,ELID)
C
C TO SET UP FOR ISOPARAMETRIC SHELL ELEMENTS, CALLED ONLY BY SHHMGD
C
C DOUBLE PRECISION VERSION
C
C INPUT :
C MM - MAXIMUM NO. OF NODES PER THIS TYPE ELEMENT
C SIL - ARRAY OF SIL NUMBERS
C BGPDT - BGPDT DATA FROM EST (REAL ARRAY)
C IGPDT - BGPDT DATA FROM EST (INTEGER ARRAY)
C GPTH - GRID POINT THICKNESS DATA
C ELTH - ELEMENT THICKNESS FROM EPT
C GPTEMP - GRID POINT TEMPERATURE DATA
C ELID - ELEMENT ID
C OUTPUT:
C SIL - ARRAY OF SIL NUMBERS (REARRANGED)
C BGPDT - BGPDT DATA (REAL ARRAY) (REARRANGED)
C IGPDT - BGPDT DATA (INTEGER ARRAY) (REARRANGED)
C GPTH - GRID POINT THICKNESS DATA (REARRANGED)
C GPTEMP - GRID POINT TEMPERATURE DATA (REARRANGED)
C BGPDM - BGPDT DATA SAVED IN ORIGINAL FORMAT
C EGPDT - BGPDT DATA IN ELEMENT COORD. SYSTEM
C DGPTH - GRID POINT THICKNESS DATA
C GPNORM - GRID POINT NORMALS
C EPNORM - GRID POINT NORMALS IN ELEMENT COORD. SYSTEM
C NNODE - THE NO. OF NODES PRESENT IN THE ELEMENT
C MMN - ARRAY OF MISSING MIDSIDE NODES
C NSIL - INTERNALLY ORDERED SIL ARRAY
C IORDER - ARRAY OF ORDER INDICATORS FOR REARRANGED DATA
C IORDRN - ARRAY OF ORDER INDICATORS FOR TRIA
C TEB - TRANSFORMATION FROM ELEMENT TO BASIC COORD.SYSTEM
C TUB - TRANSFORMATION FROM USER TO BASIC COORD. SYSTEM
C CENTE - LOCATION OF THE CENTER OF THE ELEMENT
C AVGTHK - AVERAGE THICKNESS OF THE ELEMENT
C
LOGICAL QUAD
INTEGER SIL(8),IORDER(8),KSIL(8),KCID(8),MMN(8),NSIL(8),
1 IORDRN(8),IGPDT(4,8),ELID
REAL GPTEMP(8),TEMTEM(8),BGPDT(4,8),TGRID(4,8),
1 GPTH(8),TMPTHK(8),BGPDM(3,8)
DOUBLE PRECISION CENT(3),CENTE(3),EGPDT(4,8),GGU(9),GGN(9),TEB(9),
1 TEU(9),SMAX,SMIN,SL(3),GGE(9),TUB(9),CC,DGPTH(8),
2 GPNORM(4,8),EPNORM(4,8),X31,Y31,X42,Y42,EXI,EXJ,
3 AA,BB,UGPDM(3,8),TCE(63),AVGTHK
C
C
IF (MM.NE.3 .AND. MM.NE.4 .AND. MM.NE.6 .AND. MM.NE.8) GO TO 700
C TRIA3 QUAD4 TRIA6 QUAD8
C
QUAD = MM.EQ.8 .OR. MM.EQ.4
MMX = 3
IF (QUAD) MMX = 4
NNODE = MM
DO 10 I = 1,MM
MMN(I) = SIL(I)
KSIL(I)= SIL(I)
IF (SIL(I) .GT. 0) GO TO 10
NNODE = NNODE - 1
10 CONTINUE
C
C FILL IN ARRAY GGU WITH THE COORDINATES OF GRID POINTS 1,2 AND 4
C (3 FOR TRIA). THIS ARRAY WILL BE USED LATER TO DEFINE THE USER
C COORDINATE SYSTEM WHILE CALCULATING TRANSFORMATIONS INVOLVING
C THIS COORDINATE SYSTEM.
C
DO 20 I = 1,3
II = (I-1)*3
IJ = I
IF (QUAD .AND. IJ.EQ.3) IJ = 4
DO 20 J = 1,3
JJ = J + 1
20 GGU(II+J) = DBLE(BGPDT(JJ,IJ))
CALL BETRND (TUB,GGU,0,ELID)
C
C STORE INCOMING BGPDT FOR LUMPED MASS AND ELEMENT COORD. SYSTEM
C
DO 30 I = 1,3
I1 = I + 1
DO 30 J = 1,MM
30 BGPDM(I,J) = BGPDT(I1,J)
C
C TRANSFORM BGPDM FROM BASIC TO USER COORD. SYSTEM
C
DO 40 I = 1,3
IP = (I-1)*3
DO 40 J = 1,MM
UGPDM(I,J) = 0.0D0
DO 40 K = 1,3
KK = IP + K
40 UGPDM(I,J) = UGPDM(I,J) + TUB(KK)*(DBLE(BGPDM(K,J))-GGU(K))
C
IF (QUAD) GO TO 200
C
C FOR TRIA
C CALCULATE THE CENTER COORDINATES
C
CENTE(1) = (GGU(1)+GGU(4)+GGU(7))/3.0D0
CENTE(2) = (GGU(2)+GGU(5)+GGU(8))/3.0D0
CENTE(3) = (GGU(3)+GGU(6)+GGU(9))/3.0D0
C
C ESTABLISH THE INTERNAL COORDINATES:
C X-AXIS IS ALONG THE MIDDLE-SIZED SIDE AND THE XY-PLANE IS
C DETERMINED BY IT TOGETHER WITH THE SHORTEST SIDE
C
CC = (GGU(7)-GGU(4))*(GGU(7)-GGU(4))
1 + (GGU(8)-GGU(5))*(GGU(8)-GGU(5))
2 + (GGU(9)-GGU(6))*(GGU(9)-GGU(6))
IF (CC .LE. 0.0D0) GO TO 700
SL(1) = DSQRT(CC)
CC = (GGU(7)-GGU(1))*(GGU(7)-GGU(1))
1 + (GGU(8)-GGU(2))*(GGU(8)-GGU(2))
2 + (GGU(9)-GGU(3))*(GGU(9)-GGU(3))
IF (CC .LE. 0.0D0) GO TO 700
SL(2) = DSQRT(CC)
CC = (GGU(4)-GGU(1))*(GGU(4)-GGU(1))
1 + (GGU(5)-GGU(2))*(GGU(5)-GGU(2))
2 + (GGU(6)-GGU(3))*(GGU(6)-GGU(3))
IF (CC .LE. 0.0D0) GO TO 700
SL(3) = DSQRT(CC)
SMAX = SL(1)
ISMAX = 1
DO 100 I = 2,3
IF (SL(I) .LE. SMAX) GO TO 100
SMAX = SL(I)
ISMAX = I
100 CONTINUE
SMIN = SL(1)
ISMIN = 1
DO 110 I = 2,3
IF (SL(I) .GE. SMIN) GO TO 110
SMIN = SL(I)
ISMIN = I
110 CONTINUE
IF (ISMAX .EQ. ISMIN) ISMIN = 3
MIDDL = IABS(ISMAX-ISMIN)
IF (ISMAX+ISMIN .EQ. 3) MIDDL = 3
C
C DETECT THE POSSIBLE REVERSAL OF THE INTERNAL Z-AXIS WITH RESPECT
C TO THE USER Z-AXIS. IF THAT IS THE CASE, SWITCH ISMAX AND ISMIN
C TO AVOID THE PROBLEM. THE SIDE WITH MEDIUM LENGTH WILL STILL BE
C THE X-AXIS.
C
IF (ISMAX .NE. MOD(ISMIN,3)+1) GO TO 120
III = ISMIN
ISMIN = ISMAX
ISMAX = III
C
120 IS3 = 3*(ISMAX-1)
GGN(1) = GGU(IS3+1)
GGN(2) = GGU(IS3+2)
GGN(3) = GGU(IS3+3)
C
IS3 = 3*(ISMIN-1)
GGN(4) = GGU(IS3+1)
GGN(5) = GGU(IS3+2)
GGN(6) = GGU(IS3+3)
C
IS3 = 3*(MIDDL-1)
GGN(7) = GGU(IS3+1)
GGN(8) = GGU(IS3+2)
GGN(9) = GGU(IS3+3)
C
CALL BETRND (TEB,GGN,0,ELID)
GO TO 300
C
C FOR QUAD
C THE ORIGIN OF THE ELEMENT COORD.SYSTEM IS IN THE MIDDLE OF THE
C ELEMENT
C
200 DO 210 J = 1,3
CENT(J) = 0.0D0
DO 210 I = 1,MM
210 CENT(J) = CENT(J) + UGPDM(J,I)/NNODE
C
C STORE THE CORNER NODE DIFF. IN THE USER COORD. SYSTEM
C
X31 = UGPDM(1,3) - UGPDM(1,1)
Y31 = UGPDM(2,3) - UGPDM(2,1)
X42 = UGPDM(1,4) - UGPDM(1,2)
Y42 = UGPDM(2,4) - UGPDM(2,2)
AA = X31*X31 + Y31*Y31
IF (AA .LE. 0.0D0) GO TO 700
AA = DSQRT(AA)
BB = X42*X42 + Y42*Y42
IF (BB .LE. 0.0D0) GO TO 700
BB = DSQRT(BB)
C
C NORMALIZE XIJ'S
C
X31 = X31/AA
Y31 = Y31/AA
X42 = X42/BB
Y42 = Y42/BB
EXI = X31 - X42
EXJ = Y31 - Y42
C
C STORE GGE ARRAY, THE OFFSET BETWEEN ELEMENT COORD. SYSTEM AND USER
C COORD. SYSTEM
C
GGE(1) = CENT(1)
GGE(2) = CENT(2)
GGE(3) = CENT(3)
C
GGE(4) = GGE(1) + EXI
GGE(5) = GGE(2) + EXJ
GGE(6) = GGE(3)
C
GGE(7) = GGE(1) - EXJ
GGE(8) = GGE(2) + EXI
GGE(9) = GGE(3)
C
CALL BETRND (TEU,GGE,0,ELID)
CALL GMMATD (TEU,3,3,0, TUB,3,3,0, TEB)
CALL GMMATD (TUB,3,3,1, CENT,3,1,0, CENTE)
C
C THE ARRAY IORDER STORES THE ELEMENT NODE ID IN INCREASING SIL
C ORDER.
C
C IORDER(1) = NODE WITH LOWEST SIL NUMBER
C IORDER(MM) = NODE WITH HIGHEST SIL NUMBER
C
C ELEMENT NODE NUMBER IS THE INTEGER FROM THE NODE LIST
C G1,G2,G3,G4,G5,G6,G7,G8 . THAT IS, THE "I" PART OF THE "GI" AS
C THEY ARE LISTED ON THE CONNECTIVITY BULK DATA CARD DESCRIPTION.
C
300 KSILD = 99999995
DO 310 I = 1,MM
IORDER(I) = 0
IORDRN(I) = 0
KSIL(I) = SIL(I)
IF (SIL(I) .NE. 0) GO TO 310
KSIL(I) = KSILD
KSILD = KSILD + 1
310 CONTINUE
DO 330 I = 1,MM
ITEMP = 1
ISIL = KSIL(1)
DO 320 J = 2,MM
IF (ISIL .LE. KSIL(J)) GO TO 320
ITEMP = J
ISIL = KSIL(J)
320 CONTINUE
IORDER(I) = ITEMP
IORDRN(I) = ITEMP
KSIL(ITEMP) = 99999999
330 CONTINUE
C
C ADJUST EST DATA
C
C USE THE POINTERS IN IORDER TO COMPLETELY REORDER THE GEOMETRY DATA
C INTO INCREASING SIL ORDER.
C DON'T WORRY!! IORDER ALSO KEEPS TRACK OF WHICH SHAPE FUNCTIONS GO
C WITH WHICH GEOMETRIC PARAMETERS!
C
DO 350 I = 1,MM
KSIL(I) = SIL(I)
TMPTHK(I)= GPTH(I)
IF (MM .NE. 4) TEMTEM(I) = GPTEMP(I)
KCID(I) = IGPDT(1,I)
DO 340 J = 2,4
TGRID(J,I) = BGPDT(J,I)
340 CONTINUE
350 CONTINUE
DO 370 I = 1,MM
IPOINT = IORDER(I)
SIL(I) = KSIL(IPOINT)
NSIL(I) = KSIL(IPOINT)
GPTH(I) = TMPTHK(IPOINT)
IF (MM .NE. 4) GPTEMP(I) = TEMTEM(IPOINT)
IGPDT(1,I) = KCID(IPOINT)
DO 360 J = 2,4
BGPDT(J,I) = TGRID(J,IPOINT)
360 CONTINUE
370 CONTINUE
C
IF (QUAD) GO TO 500
C
C FOR TRIA
C CREATE THE INTERNAL ORDER OF THE NODES OF ELEMENT IN CONNECTION
C WITH THE INTERNAL COORDINATE SYSTEM THEN CALCULATE NORMALS
C
DO 400 I = 1,MM
IF (IORDER(I) .EQ. ISMAX) IORDRN(I) = 1
IF (IORDER(I) .EQ. ISMIN) IORDRN(I) = 2
IF (IORDER(I) .EQ. MIDDL) IORDRN(I) = 3
IF (IORDER(I) .EQ. 4) IND4=I
IF (IORDER(I) .EQ. 5) IND5=I
IF (IORDER(I) .EQ. 6) IND6=I
400 CONTINUE
IF (MM .NE. 6) GO TO 410
IF (ISMAX+ISMIN .EQ. 3) IORDRN(IND4) = 4
IF (ISMAX+ISMIN .EQ. 4) IORDRN(IND6) = 4
IF (ISMAX+ISMIN .EQ. 5) IORDRN(IND5) = 4
IF (ISMIN+MIDDL .EQ. 3) IORDRN(IND4) = 5
IF (ISMIN+MIDDL .EQ. 4) IORDRN(IND6) = 5
IF (ISMIN+MIDDL .EQ. 5) IORDRN(IND5) = 5
IF (MIDDL+ISMAX .EQ. 3) IORDRN(IND4) = 6
IF (MIDDL+ISMAX .EQ. 4) IORDRN(IND6) = 6
IF (MIDDL+ISMAX .EQ. 5) IORDRN(IND5) = 6
C
410 DO 420 I = 1,3
II = I + 1
IP = (I-1)*3
DO 420 J = 1,NNODE
EGPDT(II,J) = 0.0D0
DO 420 K = 1,3
KK = IP + K
EGPDT(II,J) = EGPDT(II,J) + TEB(KK)*(DBLE(BGPDT(K+1,J))-GGN(K))
420 CONTINUE
C
C USE THE POINTERS IN IORDER AND IORDRN TO REORDER MMN
C
DO 430 I = 1,MM
IPOINT = IORDRN(I)
JPOINT = IORDER(I)
MMN(IPOINT) = KSIL(JPOINT)
430 CONTINUE
C
IF (MM .NE. 3) GO TO 520
DO 440 II=1,3
EPNORM(1,II) = 0.0D0
EPNORM(2,II) = 0.0D0
EPNORM(3,II) = 0.0D0
EPNORM(4,II) = 1.0D0
GPNORM(1,II) = 0.0D0
GPNORM(2,II) = TEB(7)
GPNORM(3,II) = TEB(8)
GPNORM(4,II) = TEB(9)
440 CONTINUE
GO TO 520
C
C FOR QUAD - COMPUTE NODAL NORMALS
C THE COORDINATES OF THE ELEMENT GRID POINTS HAVE TO BE TRANSFORMED
C FROM THE BASIC COORD. SYSTEM TO THE ELEMENT COORD. SYSTEM
C
500 IFLAG = 0
IF (MM .EQ. 4) CALL Q4NRMD (BGPDT,GPNORM,IORDER,IFLAG)
IF (IFLAG .NE. 0) GO TO 700
C
DO 510 I = 1,3
II = I + 1
IP = (I-1)*3
DO 510 J = 1,NNODE
EPNORM(II,J) = 0.0D0
EGPDT (II,J) = 0.0D0
DO 510 K = 1,3
KK = IP + K
K1 = K + 1
CC = DBLE(BGPDT(K1,J)) - GGU(K) - CENTE(K)
EPNORM(II,J) = EPNORM(II,J) + TEB(KK)*GPNORM(K1,J)
EGPDT (II,J) = EGPDT (II,J) + TEB(KK)*CC
510 CONTINUE
C
C SET AVGTHK TO ZERO
C
520 AVGTHK = 0.0D0
DO 550 I = 1,NNODE
IO = IORDER(I)
IF (IO .GT. MMX) GO TO 550
C
IF (GPTH(I)) 700,530,540
530 IF (ELTH .LE. 0.0) GO TO 700
GPTH(I) = ELTH
540 DGPTH(I) = DBLE(GPTH(I))
AVGTHK = AVGTHK + DGPTH(I)/NNODE
550 CONTINUE
C
DO 620 I = 1,NNODE
IO = IORDER(I)
IF (IO .LE. MMX) GO TO 620
IF (GPTH(I) .GT. 0.0) GO TO 610
IO1 = IO - MMX
IO2 = IO1 + 1
IF (IO2 .EQ. MMX+1) IO2 = 1
DO 600 J = 1,MM
JO = IORDER(J)
IF (JO .EQ. IO1) IC1 = J
IF (JO .EQ. IO2) IC2 = J
600 CONTINUE
GPTH (I) = (GPTH(IC1)+GPTH(IC2))/2.0
610 DGPTH(I) = DBLE(GPTH(I))
AVGTHK = AVGTHK + DGPTH(I)/NNODE
620 CONTINUE
RETURN
C
700 RETURN 1
END
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