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SUBROUTINE BOUND (FBREC,AFE,NAFE,KGE,NKGE)
C
C COMPUTES AREA FACTOR AND GRAVITIONAL STIFFNESS MATRICES FOR A FACE
C OF A INDIVIDUAL FLUID ELEMENT
C
LOGICAL ERROR ,GRAV
INTEGER GF1 ,GF2 ,GF3 ,GF4 ,FBREC(12),
1 GS1 ,GS2 ,GS3 ,GS4 ,GRID(3,4),
2 GSI ,GSJ ,IZ(1) ,LOCSOF(4),LOCTOF(3),
3 LOCFOS(4),FLEDGE(2,4) ,FEDGE(2,4) ,
4 STEDGE(2,3)
REAL Z
DOUBLE PRECISION AFE(48) ,KGE(144) ,IN(3) ,JN(3) ,
1 KN(3) ,R12(3) ,R13(3) ,R14(3) ,R24(3) ,
2 H ,NN ,KS(3) ,MAG ,X3 ,
3 Y3 ,Y4 ,S(48) ,X4 ,AKJ(3,4) ,
4 AA ,BB ,CC ,A ,ZZ ,
5 DVMAG ,RHOXG ,Y(3) ,E(3,2) ,KII(144) ,
6 KTWO(2,2),KIK(9) ,T(3,3) ,KTEMP(2,3) ,
7 TFST(3,3),Z1 ,X1 ,DHALF ,C1 ,
8 ST(3,4) ,Z2 ,Y1 ,EPS(2) ,C2 ,
9 FL(3,4) ,Z3 ,X2 ,DLB ,C3 ,
O TR(3,3) ,Z4 ,Y2 ,DUB ,D1 ,
1 P(2,7) ,SS(9) ,AA2 ,NN1 ,D2 ,
2 C(4,7) ,EPSLON ,FDET ,ZZ1 ,DZ ,
3 F(3,7) ,NX ,AKJCON ,DD ,AEPS ,
4 PT(3,4) ,TRIA ,EPSO10 ,AFLEL ,LEPS ,
5 VTEMP(3) ,KSB(3) ,NZ ,KIDENT(3),FACTII ,
6 CONII ,FII ,DPOLY ,ASTRIA ,ASTREL ,
7 AFLSTR ,DADOTB ,DAPOLY
CHARACTER UFM*23 ,UWM*25
COMMON /XMSSG / UFM ,UWM
C
C OPEN CORE
C
COMMON /ZZZZZZ/ Z(1)
C
C CORE POINTERS
C
COMMON /FLBPTR/ ERROR ,ICORE ,LCORE ,IBGPDT ,NBGPDT ,
1 ISIL ,NSIL ,IGRAV ,NGRAV
C
C MATERIAL PROPERTIES
C
COMMON /MATIN / MATID ,INFLAG
COMMON /MATOUT/ DUM(3) ,RHO
C
C MODULE PARAMETERS
C
COMMON /BLANK / NOGRAV
C
C NASTRAN PARAMETERS
C
COMMON /SYSTEM/ SYSBUF ,NOUT
EQUIVALENCE (TFST(1,1),IN(1)) ,(X1,FL(1,1)) ,(X2,FL(1,2)) ,
1 (TFST(1,2),JN(1)) ,(Y1,FL(2,1)) ,(Y2,FL(2,2)) ,
2 (TFST(1,3),KN(1)) ,(Z1,FL(3,1)) ,(Z2,FL(3,2)) ,
3 (SS(1),BB) ,(X3,FL(1,3)) ,(X4,FL(1,4)) ,
4 (SS(2),CC) ,(Y3,FL(2,3)) ,(Y4,FL(2,4)) ,
5 (SS(3),ZZ) ,(Z3,FL(3,3)) ,(Z4,FL(3,4)) ,
6 (SS(4),NN) ,(SS(5),NN1) ,(SS(6),ZZ1 ) ,
7 (EPS(1),AEPS) ,(EPS(2),LEPS) ,(FII,BB ) ,
8 (FACTII,CC) ,(CONII,AKJCON),(Z(1),IZ(1))
C
C GRID POINTS TO BE USED IN SUBDIVIDING QUADS INTO TRIANGLES
C
DATA GRID / 1 ,2 ,3 ,
1 2 ,3 ,4 ,
2 3 ,4 ,1 ,
3 4 ,1 ,2 /
C
DATA DZ, D1, D2, DHALF / 0.D0, 1.D0, 2.D0, .5D0 /
DATA EPSLON, EPSO10 / 1.D-3, 1.D-4 /
DATA DLB , DUB /-1.D-3, 1.001D0 /
DATA X1, X2, Y1, Y2, Z1, Z2, Z3, Z4 / 8*0.D0 /
C
DATA FEDGE / 1,2, 2,3, 3,4, 4,1 /
DATA STEDGE/ 1,2, 2,3, 3,1 /
DATA KIDENT/ 0.D0, 0.D0, 1.D0 /
C
C
C DETERMINE SIZES OF MATRIX PARTITIONS
C
NGRIDS = 4
IF (FBREC( 6) .LT. 0) NGRIDS = 3
NGRIDF = 4
IF (FBREC(12) .LT. 0) NGRIDF = 3
C
NROW = 3*NGRIDS
NAFE = NROW*NGRIDF*2
NKGE = 0
C
C OBTAIN MATERIAL PROPERTY AND GRAVITY DATA IF GRAV ID IS
C PRESENT
C
GRAV = .FALSE.
IF (FBREC(7) .EQ. 0) GO TO 600
INFLAG = 11
MATID = FBREC(8)
CALL MAT (FBREC(1))
C
IF (NGRAV .EQ. 0) GO TO 8013
LGRAV = IGRAV + NGRAV - 1
DO 200 I = IGRAV,LGRAV,6
IF (IZ(I) .EQ. FBREC(7)) GO TO 400
200 CONTINUE
C
GO TO 8013
C
400 G = SQRT(Z(I+3)**2 + Z(I+4)**2 + Z(I+5)**2)
G = G*Z(I+2)
RHOXG = DBLE(RHO)*DBLE(G)
NKGE = NROW*NROW*2
NOGRAV= 1
GRAV = .TRUE.
C
C NORMILIZE THE GRAVITY VECTOR
C
E(1,2) = DBLE(Z(I+3))
E(2,2) = DBLE(Z(I+4))
E(3,2) = DBLE(Z(I+5))
CALL DNORM (E(1,2),MAG)
IF (IZ(I+1) .EQ. 0) GO TO 600
C
C TRANSFORM GRAVITY VECTOR TO BASIC
C
J = IZ(IBGPDT)
IZ(IBGPDT) = IZ(I+1)
CALL TRANSD (IZ(IBGPDT),TR)
IZ(IBGPDT) = J
CALL GMMATD (TR,3,3,0,E(1,2),3,1,0,VTEMP)
DO 500 J = 1,3
500 E(J,2) = VTEMP(J)
C
C
C COMPUTE NEW COORDINATES FOR FLUID FACE BASED ON FLUID COORDINATE
C SYSTEM - PERFORM THIS ONLY IF THE FLUID FACE HAS CHANGED
C THESE COMPUTATIONS INCLUDE --
C
C IN,JN,KN - NORMAL VECTORS TO DEFINE FLUID COORDINATE SYSTEM
C X2,X3,X4 - X COORDINATES OF GRID POINTS IN NEW SYSTEM
C ( X1 = 0 )
C Y3,Y4 Y COORDINATES OF GRID POINTS IN NEW SYSTEM
C ( Y1,Y2 = 0 )
C
C NORMAL (UNIT) VECTORS STORED *COLUMN-WISE* IN U --
C I IN U(L,1), J IN U(L,2), K IN U(L,3), L= 1,3
C TRANSFORMED FLUID COORDINATES STORED IN FL
C
C
C LOCATE GRID POINTS COORDINATES FOR THE FLUID GRID POINTS IN THE
C BGPDT TABLE
C
600 GF1 = IBGPDT + (FBREC( 9)-1)*4
GF2 = IBGPDT + (FBREC(10)-1)*4
GF3 = IBGPDT + (FBREC(11)-1)*4
GF4 = -1
IF (NGRIDF .EQ. 4) GF4 = IBGPDT + (FBREC(12)-1)*4
C
IF (NGRIDF .EQ. 4) GO TO 700
C
C TRIANGULAR FLUID FACE
C
DO 660 I = 1,3
R12(I) = Z(GF2+I) - Z(GF1+I)
IN(I) = R12(I)
660 R13(I) = Z(GF3+I) - Z(GF1+I)
C
CALL DNORM (IN,MAG)
X2 = MAG
C
CALL DAXB (R12,R13,KN)
CALL DNORM (KN,MAG)
C
CALL DAXB (KN,IN,JN)
C
X3 = R13(1)*IN(1) + R13(2)*IN(2) + R13(3)*IN(3)
Y3 = R13(1)*JN(1) + R13(2)*JN(2) + R13(3)*JN(3)
GO TO 1000
C
C QUADRATIC FLUID FACE
C
700 DO 800 I = 1,3
R12(I) = Z(GF2+I) - Z(GF1+I)
R13(I) = Z(GF3+I) - Z(GF1+I)
R14(I) = Z(GF4+I) - Z(GF1+I)
800 R24(I) = Z(GF4+I) - Z(GF2+I)
C
CALL DAXB (R13,R24,KN)
CALL DNORM (KN,MAG)
C
H = R12(1)*KN(1) + R12(2)*KN(2) + R12(3)*KN(3)
C
DO 900 I = 1,3
900 IN(I) = R12(I) - H*KN(I)
CALL DNORM (IN,MAG)
C
X2 = MAG
C
CALL DAXB (KN,IN,JN)
C
X3 = R13(1)*IN(1) + R13(2)*IN(2) + R13(3)*IN(3)
X4 = R14(1)*IN(1) + R14(2)*IN(2) + R14(3)*IN(3)
Y3 = R13(1)*JN(1) + R13(2)*JN(2) + R13(3)*JN(3)
Y4 = R14(1)*JN(1) + R14(2)*JN(2) + R14(3)*JN(3)
C
C VARIOUS CALCULATIONS DEPENDENT ON FLUID FACE
C
C INDICES FOR CORNERS OF FLUID ELEMENT
C
1000 DO 1010 N = 1,2
DO 1010 J = 1,NGRIDF
1010 FLEDGE(N,J) = FEDGE(N,J)
FLEDGE(2,NGRIDF) = 1
C
C SET UP FOR FLUID TRIANGLE
C
C1 = (D1 - FL(1,3)/FL(1,2))/FL(2,3)
C2 = FL(1,3)/(FL(1,2)*FL(2,3))
DO 1020 N = 1,3
R12(N) = FL(N,2) - FL(N,1)
1020 R13(N) = FL(N,3) - FL(N,1)
CALL DAXB (R12,R13,VTEMP)
C
IF (NGRIDF .EQ. 3) GO TO 1040
C
C SET UP FOR FLUID QUADRANGLE
C
C1 = FL(2,3) - FL(2,4)
C2 = FL(1,2)*FL(2,4)
C3 = FL(1,2) - FL(1,3) + FL(1,4)
AA =-FL(1,2)*C1
AA2 = D2*AA
C
DO 1030 N = 1,3
R13(N) = FL(N,3) - FL(N,1)
1030 R24(N) = FL(N,4) - FL(N,2)
CALL DAXB (R13, R24,VTEMP)
1040 AFLEL = DVMAG(VTEMP,DZ)
C
C ZERO OUT AREA FACTOR MATRIX
C AND AREA COMMON TO FLUID AND STRUCTURE ELEMENTS (AFLSTR)
C
DO 1042 I = 1,48
AFE(I) = DZ
1042 S(I) = 0.0D0
DO 1044 I = 1,144
1044 KGE(I) = 0.0D0
AFLSTR = 0.0
C
C DETERMINE NUMBER OF STRUCTURAL TRIANGLES TO BE USED, ITRIA
C AND CUMULATIVE AREA CONSTANT, TRIA
C ITRIA= 4, TRIA= .5 WHEN STRUCTURE ELEMENT IS QUADRANGLE
C ITRIA= 1, TRIA= 1. WHEN STRUCTURE ELEMENT IS TRIANGLE
C
ITRIA = 1
TRIA = D1
IF (NGRIDS .EQ. 3) GO TO 1050
ITRIA = 4
TRIA = DHALF
C
C TRANSFORM STRUCTURE COORDINATES TO FLUID COORDINATE SYSTEM
C
1050 GS1 = IBGPDT + (FBREC(3)-1)*4
GS2 = IBGPDT + (FBREC(4)-1)*4
GS3 = IBGPDT + (FBREC(5)-1)*4
GS4 = -1
IF (NGRIDS .EQ. 4) GS4 = IBGPDT + (FBREC(6)-1)*4
C
DO 1060 N = 1,3
PT(N,1) = Z(GS1+N) - Z(GF1+N)
PT(N,2) = Z(GS2+N) - Z(GF1+N)
PT(N,3) = Z(GS3+N) - Z(GF1+N)
PT(N,4) = DZ
IF (NGRIDS .EQ. 4) PT(N,4) = Z(GS4+N) - Z(GF1+N)
DO 1060 K = 1,4
ST(N,K) = DZ
1060 CONTINUE
C
DO 1070 K = 1,NGRIDS
DO 1070 N = 1,3
DO 1070 M = 1,3
1070 ST(N,K) = ST(N,K) + PT(M,K)*TFST(M,N)
DO 1075 N = 1,2
R12(N) = ST(N,2) - ST(N,1)
R13(N) = ST(N,3) - ST(N,1)
IF (NGRIDS .EQ. 4) R24(N) = ST(N,4) - ST(N,2)
1075 CONTINUE
CALL DAXB (R12,R13,VTEMP)
IF (NGRIDS .EQ. 4) CALL DAXB (R12,R24,VTEMP)
ASTREL = DVMAG(VTEMP,DZ)
AEPS = DHALF*DMIN1(AFLEL,ASTREL)
LEPS = DZ
IF (AEPS .GT. DZ) LEPS = EPSLON*DSQRT(AEPS)
AEPS = EPSLON*AEPS
C
C LOCATE STRUCTURE ELEMENT GRIDS RELATIVE TO FLUID SURFACE
C LOCSOF FLAGS STRUCTURE ON FLUID:
C 1= INSIDE, -1= OUTSIDE, 0= ON FLUID EDGE
C
CALL LOCPT (NGRIDS,ST,NGRIDF,FL,FLEDGE,KIDENT,EPS,LOCSOF)
C
C
C LOOP THRU (INCREMENTAL) STRUCTURAL TRIANGLES (ITRIA IS 1 OR 4)
C
DO 2500 IT = 1,ITRIA
C
C LOCATE COORDINATES OF CURRENT TRIANGLE
C
GS1 = GRID(1,IT)
GS2 = GRID(2,IT)
GS3 = GRID(3,IT)
C
LOCTOF(1) = LOCSOF(GS1)
LOCTOF(2) = LOCSOF(GS2)
LOCTOF(3) = LOCSOF(GS3)
C
C TRANSFER COORDINATES OF CURRENT STRUCTURE TRIANGLE TO CONTIGUOUS
C ARRAY, AND DO VARIOUS CALCULATIONS DEPENDENT ON THEM
C
DO 1100 N = 1,3
TR(N,1) = ST(N,GS1)
TR(N,2) = ST(N,GS2)
TR(N,3) = ST(N,GS3)
R12(N) = TR(N,2) - TR(N,1)
1100 R13(N) = TR(N,3) - TR(N,1)
C
C OBTAIN KS, UNIT VECTOR NORMAL TO (XY) PLANE OF CURRENT STRUCTURAL
C TRIANGLE (IN SYSTEM LOCAL TO FLUID ELEMENT)
C
CALL DAXB (R12,R13,KS)
ASTRIA = DVMAG(KS,DZ)
CALL DNORM (KS,MAG)
C
C OBTAIN KSB, UNIT VECTOR NORMAL TO (XY) PLANE OF CURRENT STRUCTURE
C TRIANGLE (IN NASTRAN BASIC COORD SYSTEM)
C
DO 1150 N = 1,3
R12(N) = PT(N,GS2) - PT(N,GS1)
R13(N) = PT(N,GS3) - PT(N,GS1)
1150 CONTINUE
C
CALL DAXB (R12,R13,KSB)
CALL DNORM (KSB,MAG)
C
C CALCULATE EPSLON FUNCTIONS FOR SIGNIFICANCE TESTING
C
LEPS = DZ
AEPS = DHALF*DMIN1(AFLEL,ASTRIA)*EPSLON
IF (AEPS .GT. DZ) LEPS = DSQRT(AEPS)
C
C DETERMINE POINTS DESCRIBING AREA POLYGON COMMON TO BOTH FLUID
C ELEMENT AND (INCREMENTAL) STRUCTURAL TRIANGLE
C
C POLYGON POINTS IN P(2,I) I .LE. 7
C FLUID POINTS IN FL(3,J) J .LE. 4
C TRIANGLE POINTS IN TR(3,K) K=1,3
C
C DETERMINE POINTS DESCRIBING POLYGON OF COMMON AREA
C
C
C LOCATE FLUID ELEMENT POINTS RELATIVE TO BOUNDRY OF THIS STRUCTURAL
C TRIANGLE
C
CALL LOCPT (NGRIDF,FL,3,TR,STEDGE,KS,EPS,LOCFOS)
DO 1240 J = 1,NGRIDF
IF (LOCFOS(J) .LT. 0) GO TO 1300
1240 CONTINUE
C
C FLUID ELEMENT IS COMMON AREA POLYGON WHEN NO FLUID POINTS ARE
C OUTSIDE BOUNDRY OF THIS STRUCTURAL TRIANGLE
C
NPOLY = NGRIDF
DO 1250 N = 1,2
DO 1250 J = 1,NGRIDF
1250 P(N,J) = FL(N,J)
GO TO 2000
C
C CALL POLYPT TO DETERMINE POINTS DESCRIBING THE COMMON AREA POLYGON
C
1300 CALL POLYPT (LOCTOF,STEDGE,TR,NGRIDF,FLEDGE,FL,LOCFOS,EPS,NPOLY,P)
C
C SKIP TO NEXT (INCREMENTAL) STRUCTURAL TRIANGLE WHEN THIS TRIANGLE
C IS DISJOINT FROM FLUID ELEMENT
C
IF (NPOLY .LT. 3) GO TO 2500
C
C AREA OF COMMON POLYGON AND HALVED WHEN OVERLAPPING (INCREMENTAL)
C STRUCTURE TRIANGLES USED CUMULATIVE AREA OF FLUID/STRUCTURAL
C ELEMENT OVERLAP
C
2000 A = TRIA*DAPOLY(NPOLY,P)
AFLSTR = AFLSTR + A
C
C TERMS FOR LOAD FACTORS
C
SS(1) = TR(1,1)*TR(2,2)
SS(2) = -TR(1,1)*TR(2,3)
SS(3) = TR(1,2)*TR(2,3)
SS(4) = -TR(1,2)*TR(2,1)
SS(5) = TR(1,3)*TR(2,1)
SS(6) = -TR(1,3)*TR(2,2)
FDET = DZ
DO 2005 M = 1,6
2005 FDET = FDET + SS(M)
SS(1) = SS(1) + SS(4)
SS(2) = SS(2) + SS(5)
SS(3) = SS(3) + SS(6)
SS(4) = TR(2,2) - TR(2,3)
SS(5) = TR(2,3) - TR(2,1)
SS(6) = TR(2,1) - TR(2,2)
SS(7) = TR(1,3) - TR(1,2)
SS(8) = TR(1,1) - TR(1,3)
SS(9) = TR(1,2) - TR(1,1)
C
C GET LOAD DISTRIBUTION FACTORS, F(K,I)
C - FROM -
C I -- AREA POLYGON POINT -- P(N,I)
C K -- STRUCTURE TRIANGLE POINT -- TR(N,K)
C
DO 2010 I = 1,NPOLY
F(1,I) = P(1,I)*SS(4) + P(2,I)*SS(7) + SS(3)
F(2,I) = P(1,I)*SS(5) + P(2,I)*SS(8) + SS(2)
2010 F(3,I) = P(1,I)*SS(6) + P(2,I)*SS(9) + SS(1)
C
C GET PRESSURE DISTRIBUTION FACTORS, C(J,I)
C - FROM -
C I -- AREA POLYGON POINT -- P(N,I)
C J -- FLUID ELEMENT POINT -- FL(N,J)
C
IF (NGRIDF .EQ. 4) GO TO 2030
C
C FLUID ELEMENT IS TRIANGLE
C
DO 2020 I = 1,NPOLY
BB = P(1,I)/FL(1,2)
C(1,I) = D1 - BB - P(2,I)*C1
C(2,I) = BB - P(2,I)*C2
2020 C(3,I) = P(2,I)/FL(2,3)
GO TO 2100
C
C FLUID ELEMENT IS QUADRANGLE
C
2030 DO 2050 I = 1,NPOLY
BB = P(1,I)*C1 - C2 + P(2,I)*C3
CC = P(1,I)*FL(2,4) - P(2,I)*FL(1,4)
IF (BB.EQ.DZ .OR. DABS(AA).GT.DABS(BB*EPSLON)) GO TO 2040
ZZ = -CC/BB
GO TO 2045
C
2040 DD = DSQRT(BB*BB - D2*AA2*CC)
ZZ = (DD-BB)/AA2
IF (ZZ.GT.DLB .AND. ZZ.LT.DUB) GO TO 2045
ZZ = (-DD-BB)/AA2
C
2045 NN = P(2,I)/(FL(2,4) + ZZ*C1)
IF (NN.LE.DLB .OR. NN.GE.DUB) GO TO 8005
C
ZZ1 = D1 - ZZ
NN1 = D1 - NN
C(1,I) = ZZ1*NN1
C(2,I) = ZZ *NN1
C(3,I) = ZZ *NN
2050 C(4,I) = ZZ1*NN
C
C CALCULATE AREA TERMS FOR THIS STRUCTURAL TRIANGLE AND INSERT IN
C MATRIX
C
2100 DPOLY = NPOLY
AKJCON = A/(FDET*DPOLY)
DPOLY = NPOLY - 1
FACTII = D1/DPOLY
C
DO 2120 J = 1,NGRIDF
JLOC = 3*NGRIDS*(J-1)
C
DO 2120 K = 1,3
LOC = JLOC + 3*(GRID(K,IT)-1)
C
AKJ(K,J) = DZ
DO 2110 I = 1,NPOLY
2110 AKJ(K,J) = AKJ(K,J) + F(K,I)*C(J,I)
AKJ(K,J) = AKJCON*AKJ(K,J)
C
DO 2119 N = 1,3
2119 S(LOC+N) = S(LOC+N) + AKJ(K,J)*KSB(N)
2120 CONTINUE
C
IF (.NOT. GRAV) GO TO 2500
C
C CALCULATE GRAVITATIONAL STIFFNESS TERMS FOR THIS TRIANGLE
C AND INSERT INTO MATRIX
C
DO 2210 N = 1,3
2210 E(N,1) = DZ
CALL DAXB (E(1,2),KSB,Y)
MAG = DADOTB(Y,Y)
IF (MAG .GT. DZ) MAG = DSQRT(MAG)
IF (MAG .LT. EPSO10) GO TO 2220
C
CALL DAXB (E(1,2),Y,E)
CALL DNORM (E,MAG)
C
2220 NX = 0.D0
NZ = 0.D0
DO 2230 N = 1,3
NX = NX + E(N,1)*KSB(N)
2230 NZ = NZ + E(N,2)*KSB(N)
CONII = RHOXG*AKJCON/(D2*FDET)
KTWO(1,1) = DZ
C
KTWO(2,1) = NX
KTWO(1,2) = KTWO(2,1)
KTWO(2,2) = NZ
CALL GMMATD (E,2,3,1, KTWO,2,2,0, KTEMP)
CALL GMMATD (KTEMP,3,2,0, E,2,3,0, KIK )
C
DO 2250 KK1 = 1,3
K1LOC = 9*NGRIDS*(GRID(KK1,IT)-1)
C
DO 2250 KK2 = 1,3
LOC = K1LOC + 9*(GRID(KK2,IT)-1)
C
H = 0.D0
DO 2240 I1 = 1,NPOLY
DO 2240 I2 = 1,NPOLY
FII = F(KK1,I1)*F(KK2,I2)
IF (I1 .NE. I2) FII= FACTII*FII
2240 H = H + FII
C
DO 2249 N = 1,9
KGE(LOC+N) = KGE(LOC+N) - KIK(N)*H*CONII
2249 CONTINUE
C
2250 CONTINUE
C
C END OF (INCREMENTAL) STRUCTURAL TRIANGLE LOOP
C
2500 CONTINUE
C
C WARNING MESSAGE WHEN FLUID AND STRUCTURE ELEMENTS ARE DISJOINT
C
IF (AFLSTR .LE. DZ) GO TO 8014
C
C TRANSFORM THE AREA AND STIFFNESS MATRICES TO GLOBAL COORDINATES IF
C REQUIRED
C
DO 2610 IROW = 1,NGRIDS
GSI = IBGPDT + (FBREC(IROW+2)-1)*4
CALL TRANSD (Z(GSI),T)
C
C AREA FACTOR MATRIX
C
JLOC = 3*(IROW-1)
C
DO 2530 ICOL = 1,NGRIDF
ILOC = 3*NGRIDS*(ICOL-1) + JLOC
C
IF (IZ(GSI) .EQ. 0) GO TO 2510
CALL GMMATD (T,3,3,1,S(ILOC+1),3,1,0,AFE(ILOC+1))
GO TO 2530
C
2510 DO 2520 I = 1,3
2520 AFE(ILOC+I) = S(ILOC+I)
C
2530 CONTINUE
IF (.NOT.GRAV) GO TO 2610
C
C GRAVITATIONAL STIFFNESS MATRIX
C
JLOC = 9*(IROW-1)
C
DO 2600 ICOL = 1,NGRIDS
ILOC = 9*NGRIDS*(ICOL-1) + JLOC
C
IF (IZ(GSI) .EQ. 0) GO TO 2540
CALL GMMATD (T,3,3,1, KGE(ILOC+1),3,3,0, KIK)
GO TO 2570
C
2540 KLOC = ILOC
DO 2550 I = 1,9
2550 KIK(I) = KGE(KLOC+I)
C
2570 GSJ = IBGPDT + (FBREC(ICOL+2)-1)*4
IF (IZ(GSJ) .EQ. 0) GO TO 2580
CALL TRANSD (Z(GSJ),T)
CALL GMMATD (KIK,3,3,0, T,3,3,0, KII(ILOC+1))
GO TO 2600
C
2580 KLOC = ILOC
DO 2590 I = 1,9
2590 KII(KLOC+I) = KIK(I)
2600 CONTINUE
2610 CONTINUE
C
C REARANGE THE STORAGE OF THE GRAVITATIONAL STIFFNESS MATRIX
C TO COLUMNWISE FOR THE USE WITH THE ASSEMBLER
C
IF (.NOT.GRAV) RETURN
C
DO 2630 ICOL = 1,NGRIDS
JLOC = 9*NGRIDS*(ICOL-1)
C
DO 2630 IROW = 1,NGRIDS
ILOC = JLOC + 9*(IROW-1)
KLOC = JLOC + 3*(IROW-1)
C
DO 2620 I = 1,3
KGE(KLOC+1) = KII(ILOC+1)
KGE(KLOC+2) = KII(ILOC+4)
KGE(KLOC+3) = KII(ILOC+7)
KLOC = KLOC + 3*NGRIDS
2620 ILOC = ILOC + 1
2630 CONTINUE
RETURN
C
C ERROR CONDITIONS
C
8005 WRITE (NOUT,9005) UFM,FBREC(2)
ERROR = .TRUE.
GO TO 9000
8013 WRITE (NOUT,9013) UFM,FBREC(1),FBREC(7)
ERROR = .TRUE.
GO TO 9000
8014 WRITE (NOUT,9014) UWM,FBREC(1),FBREC(2)
9000 RETURN
C
9005 FORMAT (A23,' 8005. BAD GEOMETRY DEFINED FOR STRUCTURAL ELEMENT ',
1 I8)
C
9013 FORMAT (A23,' 8013, FLUID ELEMENT',I9,' ON A CFLSTR CARD ',
1 'REFERENCES UNDEFINED GRAVITY ID',I9)
C
9014 FORMAT (A25,' 8014, FLUID ELEMENT',I9,' AND STRUCTURE ELEMENT',I9,
1 ' ARE DISJOINT. CHECK CFLSTR CARDS.')
END
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