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SUBROUTINE SPANL1(IARG)
C*****
C THIS ROUTINE COMPUTES PHASE I PARAMETERS FOR STRESS DATA RECOVERY FOR
C THE SHEAR PANEL (IF IARG = 4) AND THE TWIST PANEL (IF IARG = 5).
C MUCH OF THE CODE WAS LIFTED FROM SUBROUTIVE KPANEL
C*****
C
C E C P T F O R B O T H P A N E L S
C ECPT( 1) - IELID ELEMENT ID. NO.
C ECPT( 2) - ISILNO(4) SCALAR INDEX NUMBERS
C ECPT( 3) - ... ...
C ECPT( 4) - ... ...
C ECPT( 5) - ... ...
C ECPT( 6) - MATID MATERIAL ID.
C ECPT( 7) - T THICKNESS
C ECPT( 8) - FMU NON-STRUCTURAL MASS
C ECPT( 9) - ICSID1 COOR. SYS. ID. FOR GRID POINT 1
C ECPT(10) - GP1(3) BASIC COORDINATES FOR GRID POINT 1
C ECPT(11) - ... ...
C ECPT(12) - ... ...
C ECPT(13) - ICSID2 COOR. SYS. ID. FOR GRID POINT 2
C ECPT(14) - GP2(3) BASIC COORDINATES FOR GRID POINT 2
C ECPT(15) - ... ...
C ECPT(16) - ... ...
C ECPT(17) - ICSID3 COOR. SYS. ID. FOR GRID POINT 3
C ECPT(18) - GP3(3) BASIC COORDINATES FOR GRID POINT 3
C ECPT(19) - ... ...
C ECPT(20) - ... ...
C ECPT(21) - ICSID4 COOR. SYS. ID. FOR GRID POINT 4
C ECPT(22) - GP4(3) BASIC COORDINATES FOR GRID POINT 4
C ECPT(23) - ... ...
C ECPT(24) - ... ...
C ECPT(25) - TEMPEL ELEMENT TEMPERATURE
C
C
C
REAL
1 NU
C
C
C
C
C
C
DIMENSION
1 VD1(3) ,VD2(3)
2, VKN(3) ,VK(3)
3, V12(3) ,V41(3)
4, VP12(3) ,VI(3)
5, VJ(3) ,AVEC(4)
6, SMALLU(4) ,SMALLV(4)
7, P(4) ,IECPT(100)
8, ECPT(100)
9, VLEFT(6) ,TI(9)
C
C SDR2 PHASE I INPUT AND OUTPUT BLOCK
C
COMMON /SDR2X5/
1 IELID ,ISILNO(4)
2, MATID ,T
3, FMU ,ICSID1
4, GP1(3) ,ICSID2
5, GP2(3) ,ICSID3
6, GP3(3) ,ICSID4
7, GP4(3) ,TEMPEL
8, XXXXXX(75)
COMMON /SDR2X5/
1 JELID ,JSILNO(4)
2, S(3,4) ,OUT(15)
3, YYYYYY(93)
C
C SDR2 SCRATCH BLOCK
C
COMMON /SDR2X6/
1 VLEFT ,TI
2, SPCON
4, VD1 ,VD2
5, VKN ,VK
6, V12 ,V41
7, VP12 ,VI
8, VJ ,AVEC
9, SMALLU ,SMALLV
T, P ,X1
1, X2 ,X3
2, X4 ,Y1
3, Y2 ,Y3
4, Y4 ,VKL
5, PA ,V12DK
6, CEP1 ,CEP2
7, EP ,TEMP
COMMON /SDR2X6/
1 YP ,XP
2, SA ,XQ
4, B ,XL
5, A ,A2
6, A3 ,A4
7, A5 ,B2
8, B3 ,B4
9, B5 ,C
T, C2 ,C3
1, C4 ,C5
2, D ,D2
3, D3 ,D4
4, D5 ,TERM1
5, TERM2 ,TERM3
6, TERM4 ,TERM5
7, XL13 ,XL24
C
C INPUT AND OUTPUT BLOCKS FOR SUBROUTINE MAT
C
COMMON /MATIN/
1 MATIDC ,MATFLG
2, ELTEMP ,STRESS
3, SINTH ,COSTH
C
C
C
COMMON /MATOUT/
1 E ,G
2, NU ,RHO
3, ALPHA ,TSUBO
4, GSUBE ,SIGT
5, SIGC ,SIGS
C
C
C
EQUIVALENCE
1 (IELID,IECPT(1),ECPT(1))
C
C CALL MAT TO GET MATERIAL PROPERTIES.
C
MATIDC = MATID
MATFLG = 1
ELTEMP = TEMPEL
CALL MAT (IECPT(1))
C
C COMPUTE DIAGONAL VECTORS.
C
DO 10 I=1,3
VD1(I) = GP3(I) - GP1(I)
10 VD2(I) = GP4(I) - GP2(I)
C
C COMPUTE THE NORMAL VECTOR VKN, NORMALIZE, AND COMPUTE THE PROJECTED
C AREA, PA
C
VKN(1) = VD1(2)*VD2(3)-VD1(3)*VD2(2)
VKN(2) = VD1(3)*VD2(1)-VD1(1)*VD2(3)
VKN(3) = VD1(1)*VD2(2)-VD1(2)*VD2(1)
VKL = SQRT(VKN(1)**2+VKN(2)**2+VKN(3)**2)
IF (VKL .EQ. 0.0) GO TO 160
VK(1) = VKN(1)/VKL
VK(2) = VKN(2)/VKL
VK(3) = VKN(3)/VKL
PA = .5 * VKL
C
C COMPUTE SIDES -12- AND -41-
C
DO 20 I=1,3
V12(I) = GP2(I) - GP1(I)
20 V41(I) = GP1(I) - GP4(I)
C
C COMPUTE DOT PRODUCT, V12DK, OF V12 AND VK, THE VECTORS VP12, VI, VJ
C
V12DK = V12(1)*VK(1)+V12(2)*VK(2)+V12(3)*VK(3)
VP12(1) = V12(1)-V12DK*VK(1)
VP12(2) = V12(2)-V12DK*VK(2)
VP12(3) = V12(3)-V12DK*VK(3)
VP12L = SQRT(VP12(1)**2+VP12(2)**2+VP12(3)**2)
IF (VP12L .EQ. 0.0) GO TO 170
VI(1) = VP12(1)/VP12L
VI(2) = VP12(2)/VP12L
VI(3) = VP12(3)/VP12L
VJ(1) = VK(2)*VI(3)-VK(3)*VI(2)
VJ(2) = VK(3)*VI(1)-VK(1)*VI(3)
VJ(3) = VK(1)*VI(2)-VK(2)*VI(1)
C
C NORMALIZE J FOR GOOD MEASURE
C
VJL = SQRT (VJ(1)**2 + VJ(2)**2 + VJ(3)**2)
IF (VJL .EQ. 0.0) GO TO 180
VJ(1) = VJ(1) / VJL
VJ(2) = VJ(2) / VJL
VJ(3) = VJ(3) / VJL
X1 = 0.0
Y1 = 0.0
X2 = VP12L
Y2 = 0.0
X3 = VI(1) * VD1(1) + VI(2) * VD1(2) + VI(3) * VD1(3)
Y3 = VJ(1) * VD1(1) + VJ(2) * VD1(2) + VJ(3) * VD1(3)
X4 =-VI(1) * V41(1) - VI(2) * V41(2) - VI(3) * V41(3)
Y4 =-VJ(1) * V41(1) - VJ(2) * V41(2) - VJ(3) * V41(3)
C
C CHECK TO SEE IF INTERIOR ANGLES ARE LESS THAN 180 DEGREES. IF NOT,
C CALL FATAL ERROR MESSAGE.
C
IF (Y3 .LE. 0.0) GO TO 190
IF (X3 .LE. Y3*X4/Y4) GO TO 200
IF (Y4 .LE. 0.0) GO TO 210
IF (X4 .GE. X2 - (X2-X3)*Y4/Y3) GO TO 220
C
C TEST FOR PARALLEL EFFECTS.
C
TEMP = X3 - X2
EP = 0.01
IF (ABS(Y3-Y4).LT.ABS(X3-X4)*EP) GO TO 30
IF (ABS(Y4*TEMP-Y3*X4).LT.ABS(X4*TEMP+Y4*Y3)*EP) GO TO 40
GO TO 70
30 IF (ABS(Y4*TEMP-Y3*X4).LT.ABS(X4*TEMP+Y4*Y3)*EP) GO TO 50
C
C AT THIS POINT THE LINE CONNECTING POINTS 3 AND 4 IS -PARALLEL- TO THE
C LINE CONNECTING POINTS 1 AND 2.
C
TEMP = Y3*X4 - Y4 * (X3-X2)
YP = X2*Y3*Y4 / TEMP
P(1) = YP - Y1
P(2) = YP - Y2
P(3) = YP - Y3
P(4) = YP - Y4
XP = X2*Y3*X4 / TEMP
SA =(X2 - XP) / YP
C =(X1 - XP) / YP
Z =( (P(1)*P(2)*PA) / (P(3)*P(4)*2.0*G*T) ) *
1 ( 1.0 + 2.0/(3.0 + 3.0*NU) * (SA**2 + SA*C + C**2) )
GO TO 80
C
C AT THIS POINT THE LINE CONNECTING POINTS 1 AND 4 IS -PARALLEL- TO THE
C LINE CONNECTING POINTS 2 AND 3.
C
40 D = -.5 * ( X4/Y4 + (X3-X2)/Y3 )
XQ = X4 - Y4 * (X3-X4)/(Y3-Y4)
TEMP = 1.0 / SQRT (1.0 + D**2)
P(1) = ( XQ - X1 - D*Y1) * TEMP
P(2) = ( XQ - X2 - D*Y2) * TEMP
P(3) = ( XQ - X3 - D*Y3) * TEMP
P(4) = ( XQ - X4 - D*Y4) * TEMP
TEMP = XQ - X4
B = (TEMP * D + Y4) / (TEMP - Y4*D)
Z =( (P(1)*P(2)*PA) / (P(3)*P(4)*2.0*G*T) ) *
1 ( 1.0 + 2.0/(3.0 + 3.0*NU) * (B**2 + B*D + D**2) )
GO TO 80
C
C IN THIS CASE THE PANEL APPROXIMATES A PARALLELOGRAM.
C
50 DO 60 I=1,4
60 P(I) = 1.0
D = -.5 * ( X4/Y4 + (X3-X2)/Y3 + (Y3-Y4)/(X3-X4) )
Z = PA / (2.0*G*T) * (1.0 + 2.0*D**2/(1.0+NU))
GO TO 80
C
C IN THIS CASE NO PARALLEL EFFECTS EXIST.
C
70 XQ = X4 - (X3-X4)/(Y3-Y4) * Y4
TEMP = Y3*X4 - Y4*(X3-X2)
XP = X2*Y3*X4 / TEMP
YP = X2*Y3*Y4 / TEMP
XL = SQRT ( (XQ-XP)**2 + YP**2 )
D = (XQ-XP)/YP
TEMP = YP/XL
P(1) = TEMP * (XQ - X1 - D*Y1)
P(2) = TEMP * (XQ - X2 - D*Y2)
P(3) = TEMP * (XQ - X3 - D*Y3)
P(4) = TEMP * (XQ - X4 - D*Y4)
C = XL/P(1) - D
B = XL/P(4) - C
A = XL/P(2) - D
A2 = A**2
B2 = B**2
C2 = C**2
D2 = D**2
A3 = A2*A
B3 = B2*B
C3 = C2*C
D3 = D2*D
A4 = A3*A
B4 = B3*B
C4 = C3*C
D4 = D3*D
A5 = A4*A
B5 = B4*B
C5 = C4*C
D5 = D4*D
TEMP = .5 * P(1) * P(2) * P(3) * P(4) / XL**2
TERM = A + B + 2.0*(A3+B3)/3.0 + .2*(A5+B5)
TERM1= C + D + 2.0*(C3+D3)/3.0 + .2*(C5+D5)
TERM2= B + C + 2.0*(B3+C3)/3.0 + .2*(B5+C5)
TERM3= D + A + 2.0*(D3+A3)/3.0 + .2*(D5+A5)
TERM = TERM * ALOG(ABS(A+B))
TERM1= TERM1 * ALOG(ABS(C+D))
TERM2= TERM2 * ALOG(ABS(B+C))
TERM3= TERM3 * ALOG(ABS(D+A))
TERM4= .1*( (A2-C2)*(B3-D3) + (B2-D2)*(A3-C3) )
TERM5= .2*( (A -C )*(B4-D4) + (B -D )*(A4-C4) )
F = TEMP * (TERM + TERM1 - TERM2 - TERM3 + TERM4 - TERM5)
Z = P(1)*P(2) / (P(3)*P(4)*2.0*G*T) * (PA + 4.0/(1.0+NU) *
1 (F - 2.0*PA/3.0))
80 XL13 = SQRT (X3**2 + Y3**2)
XL24 = SQRT ( (X4-X2)**2 + Y4**2 )
SMALLU(1) = X3/XL13
SMALLU(2) = (X4-X2)/XL24
SMALLU(3) = SMALLU(1)
SMALLU(4) = SMALLU(2)
SMALLV(1) = Y3/XL13
SMALLV(2) = Y4/XL24
SMALLV(3) = SMALLV(1)
SMALLV(4) = SMALLV(2)
TEMP = X4 * Y3 - X3 * Y4
AVEC(1) = -.5 * X2 * Y4 * XL13 / TEMP
AVEC(2) = .5 * X2 * Y3 * XL24 / (TEMP - X2 * (Y3-Y4) )
AVEC(3) = - AVEC(1)
AVEC(4) = - AVEC(2)
C
C IF IARG = 4, WE HAVE A SHEAR PANEL, AND IF IARG = 5, A TWIST PANEL.
C
IF (IARG .EQ. 4) GO TO 100
C
C SINCE WE ARE DEALING WITH A TWIST PANEL STORE -SMALLV IN SMALLU AND
C SMALLU IN SMALLV.
C
DO 90 I=1,4
TEMP = SMALLU(I)
SMALLU(I) = -SMALLV(I)
90 SMALLV(I) = TEMP
C
C COMPUTE THE SINGLE PRECISION CONSTANT SPCON
C
100 IF (IARG .EQ. 5) GO TO 110
SPCON = -1.0/ (2.0 * Z * T)
GO TO 120
110 SPCON = -1.0/ (4.0 * Z)
C
C COMPUTE THE FOUR 1 X 3 MATRICES S
C
120 DO 140 I=1,4
IVLBEG = 1
VLEFT(1) = SMALLU(I) * VI(1) + SMALLV(I) * VJ(1)
VLEFT(2) = SMALLU(I) * VI(2) + SMALLV(I) * VJ(2)
VLEFT(3) = SMALLU(I) * VI(3) + SMALLV(I) * VJ(3)
IF (IECPT(4*I+5) .EQ. 0) GO TO 130
IVLBEG = 4
CALL TRANSS (IECPT(4*I+5),TI)
CALL GMMATS (VLEFT(1),3,1,1, TI,3,3,0, VLEFT(4) )
130 CONTINUE
S(1,I) = SPCON * VLEFT(IVLBEG ) * AVEC(I)
S(2,I) = SPCON * VLEFT(IVLBEG+1) * AVEC(I)
S(3,I) = SPCON * VLEFT(IVLBEG+2) * AVEC(I)
140 CONTINUE
OUT(1) = AVEC(1)
OUT(2) = AVEC(2)
OUT(3) = T
OUT(4) = P(2) / P(1)
OUT(5) = P(1) * P(2) / P(3)**2
OUT(6) = P(1) * P(2) / P(4)**2
OUT(7) = SIGS
JELID = IELID
DO 150 I=1,4
150 JSILNO(I) = ISILNO(I)
IF( IARG .NE. 4 ) RETURN
C*****
C ADDITIONAL PHASE-1 OUTPUTS FOR SHEAR PANEL FORCES IN PHASE 2
C*****
OUT(8) = P(1) / P(3) *T
OUT(9) = ( P(1)*P(2) ) / ( P(3)*P(4) ) * T
OUT(10) = P(2) / P(4) * T
OUT(11)= -V12DK / 2.0
OUT(12)= X2 / 2.0
OUT(13)= SQRT( (X3-X2)**2 + Y3**2 ) / 2.0
OUT(14)= SQRT( (X4-X3)**2 + (Y4-Y3)**2 ) / 2.0
OUT(15)= SQRT( X4**2 + Y4**2 ) / 2.0
RETURN
160 CONTINUE
170 CONTINUE
180 CALL MESAGE (-30,26,IECPT(1))
190 IECPT(2) = 2
GO TO 230
200 IECPT(2) = 4
GO TO 230
210 IECPT(2) = 1
GO TO 230
220 IECPT(2) = 3
230 CALL MESAGE (-30,27,IECPT(1))
RETURN
END
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