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SUBROUTINE BAR (Z,IDEFM,NOGPTT,NOEDT)
C
C THIS IS THE ELEMENT TEMPERATURE AND DEFORMATION LOADING ROUTINE
C FOR THE BAR ELEMENT.
C
C THIS ROUTINE IS VERY MUCH SIMILIAR TO THAT OF SUBROUTINES KBAR AND
C SBAR1 THUS ANY ALTERS HERE MAY BE REQUIRED IN THESE OTHER TWO
C ROUTINES ALSO.
C
C ECPT FOR THE BAR
C
C ECPT( 1) - IELID ELEMENT ID. NUMBER
C ECPT( 2) - ISILNO(2) * SCALAR INDEX NOS. OF THE GRID POINTS
C ECPT( 3) - ... *
C ECPT( 4) - SMALLV(3) $ REFERENCE VECTOR
C ECPT( 5) - ... $
C ECPT( 6) - ... $
C ECPT( 7) - ICSSV COOR. SYS. ID FOR SMALLV VECTOR
C ECPT( 8) - IPINFL(2) * PIN FLAGS
C ECPT( 9) - ... *
C ECPT(10) - ZA(3) $ OFFSET VECTOR FOR POINT A
C ECPT(11) - ... $
C ECPT(12) - ... $
C ECPT(13) - ZB(3) * OFFSET VECTOR FOR POINT B
C ECPT(14) - ... *
C ECPT(15) - ... *
C ECPT(16) - IMATID MATERIAL ID.
C ECPT(17) - A CROSS-SECTIONAL AREA
C ECPT(18) - I1 $ AREA MOMENTS OF INERTIA
C ECPT(19) - I2 $
C ECPT(20) - FJ TORSIONAL CONSTANT
C ECPT(21) - NSM NON-STRUCTURAL MASS
C ECPT(22) - FE FORCE ELEM DESCRIPTIONS (FORCE METHOD)
C ECPT(23) - C1 * STRESS RECOVERY COEFFICIENTS
C ECPT(24) - C2 *
C ECPT(25) - D1 *
C ECPT(26) - D2 *
C ECPT(27) - F1 *
C ECPT(28) - F2 *
C ECPT(29) - G1 *
C ECPT(30) - G2 *
C ECPT(31) - K1 $ AREA FACTORS FOR SHEAR
C ECPT(32) - K2 $
C ECPT(33) - I12 AREA MOMENT OF INERTIA
C ECPT(34) - MCSIDA COOR. SYS. ID. FOR GRID POINT A
C ECPT(35) - GPA(3) * BASIC COORDINATES FOR GRID POINT A
C ECPT(36) - ... *
C ECPT(37) - ... *
C ECPT(38) - MCSIDB COOR. SYS. ID. FOR GRID POINT B
C ECPT(39) - GPB(3) $ BASIC COORDINATES FOR GRID POINT B
C ECPT(40) - ... $
C ECPT(41) - ... $
C ECPT(42) - ELTEMP AVG. ELEMENT TEMPERATURE
C
LOGICAL ABASIC ,BBASIC ,BASIC ,AOFSET ,BOFSET ,
1 OFFSET
REAL L ,LSQ ,LCUBE ,I1 ,I2 ,
1 K1 ,K2 ,KE ,KEP ,I12 ,
2 NSM ,LR1 ,LR2 ,LB ,L2B3 ,
3 L2B6 ,UA(6)
DIMENSION VECI(3) ,VECJ(3) ,VECK(3) ,Z(1) ,TA(18) ,
1 TB(9) ,ECPT(100),IECPT(38),IPIN(10) ,
2 SMALV0(6)
C
C SDR2 PHASE I INPUT AND OUTPUT COMMON BLOCK
C
COMMON /TRIMEX/ IELID ,ISILNO(2),SMALLV(3),ICSSV ,IPINFL(2),
1 ZA(3) ,ZB(3) ,IMATID ,A ,I1 ,
2 I2 ,FJ ,NSM ,FE ,C1 ,
3 C2 ,D1 ,D2 ,F1 ,F2 ,
4 G1 ,G2 ,K1 ,K2 ,I12 ,
5 MCSIDA ,GPA(3) ,MCSIDB ,GPB(3) ,TEMPEL
C
COMMON /SSGWRK/ KE(144) ,KEP(144) ,DELA(6) ,DELB(6)
C
C INPUT AND OUTPUT BLOCKS FOR SUBROUTINE MAT
C
COMMON /MATIN / MATIDC ,MATFLG ,ELTEMP ,STRESS ,SINTH ,
1 COSTH
COMMON /MATOUT/ E ,G ,NU ,RHO ,ALPHA ,
1 T SUB 0 ,G SUB E ,SIGT ,SIGC ,SIGS
EQUIVALENCE (IELID,ECPT(1),IECPT(1)) ,(TA(10),TB(1))
C
C
C SET UP POINTERS TO COOR. SYS. IDS., OFFSET VECTORS, AND PIN FLAGS.
C ICSIDA AND ICSIDB ARE COOR. SYS. IDS.
C
JCSIDA = 34
JCSIDB = 38
JOFSTA = 10
JOFSTB = 13
JPINA = 8
JPINB = 9
ICSIDA = IECPT(34)
ICSIDB = IECPT(38)
C
C NORMALIZE THE REFERENCE VECTOR WHICH LIES IN THE FIRST PRINCIPAL
C AXIS PLANE (FMMS - 36 P. 4)
C
FL = 0.0
DO 50 I = 1,3
50 FL = FL + SMALLV(I)**2
FL = SQRT(FL)
DO 60 I = 1,3
60 SMALLV(I) = SMALLV(I)/FL
C
C DETERMINE IF POINT A AND B ARE IN BASIC COORDINATES OR NOT.
C
ABASIC = .TRUE.
BBASIC = .TRUE.
IF (ICSIDA .NE. 0) ABASIC = .FALSE.
IF (ICSIDB .NE. 0) BBASIC = .FALSE.
C
C COMPUTE THE TRANSFORMATION MATRICES TA AND TB IF NECESSARY
C
IF (.NOT.ABASIC) CALL GBTRAN (ECPT(JCSIDA),ECPT(JCSIDA+1),TA)
IF (.NOT.BBASIC) CALL GBTRAN (ECPT(JCSIDB),ECPT(JCSIDB+1),TB)
C
C DETERMINE IF WE HAVE NON-ZERO OFFSET VECTORS.
C
AOFSET = .TRUE.
J = JOFSTA - 1
DO 70 I = 1,3
J = J + 1
IF (ECPT(J) .NE. 0.0) GO TO 80
70 CONTINUE
AOFSET = .FALSE.
80 BOFSET = .TRUE.
J = JOFSTB - 1
DO 90 I = 1,3
J = J + 1
IF (ECPT(J) .NE. 0.0) GO TO 100
90 CONTINUE
BOFSET = .FALSE.
C
C FORM THE CENTER AXIS OF THE BEAM WITHOUT OFFSETS.
C
100 VECI(1) = ECPT(JCSIDA+1) - ECPT(JCSIDB+1)
VECI(2) = ECPT(JCSIDA+2) - ECPT(JCSIDB+2)
VECI(3) = ECPT(JCSIDA+3) - ECPT(JCSIDB+3)
C
C TRANSFORM THE OFFSET VECTORS IF NECESSARY
C
IF (.NOT.AOFSET .AND. .NOT.BOFSET) GO TO 150
C
C TRANSFORM THE OFFSET VECTOR FOR POINT A IF NECESSARY.
C
IDELA = 1
J = JOFSTA - 1
DO 110 I = 1,3
J = J + 1
110 DELA(I) = ECPT(J)
IF (ABASIC) GO TO 120
IDELA = 4
CALL GMMATS (TA,3,3,0, DELA(1),3,1,0, DELA(4))
C
C TRANSFORM THE OFFSET VECTOR FOR POINT B IF NECESSARY
C
120 IDELB = 1
J = JOFSTB - 1
DO 130 I = 1,3
J = J + 1
130 DELB(I) = ECPT(J)
IF (BBASIC) GO TO 140
IDELB = 4
CALL GMMATS (TB,3,3,0, DELB(1),3,1,0, DELB(4))
C
C SINCE THERE WAS AT LEAST ONE NON-ZERO OFFSET VECTOR RECOMPUTE VECI
C
140 VECI(1) = VECI(1) + DELA(IDELA ) - DELB(IDELB )
VECI(2) = VECI(2) + DELA(IDELA+1) - DELB(IDELB+1)
VECI(3) = VECI(3) + DELA(IDELA+2) - DELB(IDELB+2)
C
C COMPUTE THE LENGTH OF THE BIG V (VECI) VECTOR AND NORMALIZE
C
150 VECI(1) = -VECI(1)
VECI(2) = -VECI(2)
VECI(3) = -VECI(3)
FL = SQRT (VECI(1)**2 + VECI(2)**2 + VECI(3)**2)
DO 160 I = 1,3
160 VECI(I) = VECI(I)/FL
C
C COMPUTE THE SMALL V SUB 0 VECTOR, SMALV0. ***CHECK THIS LOGIC***
C
DO 165 I = 1,3
165 SMALV0(I) = SMALLV(I)
ISV = 1
IF (ICSSV .EQ. 0) GO TO 180
ISV = 4
CALL GMMATS (TA,3,3,0, SMALV0(1),3,1,0, SMALV0(4))
C
C COMPUTE THE K VECTOR, VECK = VECI X SMALV0, AND NORMALIZE
C
180 VECK(1) = VECI(2)*SMALV0(ISV+2) - VECI(3)*SMALV0(ISV+1)
VECK(2) = VECI(3)*SMALV0(ISV ) - VECI(1)*SMALV0(ISV+2)
VECK(3) = VECI(1)*SMALV0(ISV+1) - VECI(2)*SMALV0(ISV)
FLL = SQRT(VECK(1)**2 + VECK(2)**2 + VECK(3)**2)
VECK(1) = VECK(1)/FLL
VECK(2) = VECK(2)/FLL
VECK(3) = VECK(3)/FLL
C
C COMPUTE THE J VECTOR, VECJ = VECK X VECI, AND NORMALIZE
C
VECJ(1) = VECK(2)*VECI(3) - VECK(3)*VECI(2)
VECJ(2) = VECK(3)*VECI(1) - VECK(1)*VECI(3)
VECJ(3) = VECK(1)*VECI(2) - VECK(2)*VECI(1)
FLL = SQRT(VECJ(1)**2 + VECJ(2)**2 + VECJ(3)**2)
VECJ(1) = VECJ(1)/FLL
VECJ(2) = VECJ(2)/FLL
VECJ(3) = VECJ(3)/FLL
C
C CALL MAT TO GET MATERIAL PROPERTIES.
C
MATIDC = IMATID
MATFLG = 1
ELTEMP = TEMPEL
CALL MAT (IECPT(1))
C
C SET UP INTERMEDIATE VARIABLES FOR ELEMENT STIFFNESS MATRIX
C CALCULATION
C
L = FL
LSQ = L**2
LCUBE= LSQ*L
EI1 = E*I1
EI2 = E*I2
IF (K1.EQ.0.0 .OR. I12 .NE.0.0) GO TO 210
GAK1 = G*A*K1
R1 = (12.0*EI1*GAK1)/(GAK1*LCUBE + 12.0*L*EI1)
GO TO 220
210 R1 = 12.0*EI1/LCUBE
220 IF (K2.EQ.0.0 .OR. I12.NE.0.0) GO TO 230
GAK2 = G*A*K2
R2 = (12.0*EI2*GAK2)/(GAK2*LCUBE + 12.0*L*EI2)
GO TO 240
230 R2 = 12.0*EI2/LCUBE
C
C COMPUTE THE -SMALL- K-S, SK1, SK2, SK3, AND SK4
C
240 SK1 = 0.25*R1*LSQ + EI1/L
SK2 = 0.25*R2*LSQ + EI2/L
SK3 = 0.25*R1*LSQ - EI1/L
SK4 = 0.25*R2*LSQ - EI2/L
C
C COMPUTE THE TERMS THAT WILL BE NEEDED FOR THE 12 X 12 MATRIX KE
C
AEL = A*E /L
LR1 = L*R1/2.0
LR2 = L*R2/2.0
GJL = G*FJ/L
C
C CONSTRUCT THE 12 X 12 MATRIX KE
C
DO 250 I = 1,144
250 KE(I) = 0.0
KE( 1) = AEL
KE( 7) = -AEL
KE( 14) = R1
KE( 18) = LR1
KE( 20) = -R1
KE( 24) = LR1
KE( 27) = R2
KE( 29) = -LR2
KE( 33) = -R2
KE( 35) = -LR2
KE( 40) = GJL
KE( 46) = -GJL
KE( 51) = -LR2
KE( 53) = SK2
KE( 57) = LR2
KE( 59) = SK4
KE( 62) = LR1
KE( 66) = SK1
KE( 68) = -LR1
KE( 72) = SK3
KE( 73) = -AEL
KE( 79) = AEL
KE( 86) = -R1
KE( 90) = -LR1
KE( 92) = R1
KE( 96) = -LR1
KE( 99) = -R2
KE(101) = LR2
KE(105) = R2
KE(107) = LR2
KE(112) = -GJL
KE(118) = GJL
KE(123) = -LR2
KE(125) = SK4
KE(129) = LR2
KE(131) = SK2
KE(134) = LR1
KE(138) = SK3
KE(140) = -LR1
KE(144) = SK1
IF (I12 .EQ. 0.0) GO TO 255
BETA = 12.0*E*I12/LCUBE
LB = L *BETA/2.0
L2B3 = LSQ*BETA/3.0
L2B6 = LSQ*BETA/6.0
KE( 15) = BETA
KE( 17) = -LB
KE( 21) = -BETA
KE( 23) = -LB
KE( 26) = BETA
KE( 30) = LB
KE( 32) = -BETA
KE( 36) = LB
KE( 50) = -LB
KE( 54) = -L2B3
KE( 56) = LB
KE( 60) = -L2B6
KE( 63) = LB
KE( 65) = -L2B3
KE( 69) = -LB
KE( 71) = -L2B6
KE( 87) = -BETA
KE( 89) = LB
KE( 93) = BETA
KE( 95) = LB
KE( 98) = -BETA
KE(102) = -LB
KE(104) = BETA
KE(108) = -LB
KE(122) = -LB
KE(126) = -L2B6
KE(128) = LB
KE(132) = -L2B3
KE(135) = LB
KE(137) = -L2B6
KE(141) = -LB
KE(143) = -L2B3
C
C DETERMINE IF THERE ARE NON-ZERO PIN FLAGS.
C
255 KA = IECPT(JPINA)
KB = IECPT(JPINB)
IF (KA.EQ.0 .AND. KB.EQ.0) GO TO 325
C
C SET UP THE IPIN ARRAY
C
DO 260 I = 1,5
IPIN(I ) = MOD(KA,10)
IPIN(I+5) = MOD(KB,10) + 6
IF (IPIN(I+5) .EQ. 6) IPIN(I+5) = 0
KA = KA/10
260 KB = KB/10
C
C ALTER KE MATRIX DUE TO PIN FLAGS.
C
DO 320 I = 1,10
IF (IPIN(I) .EQ. 0) GO TO 320
II = 13*IPIN(I) - 12
IF (KE(II) .NE. 0.0) GO TO 280
IL = IPIN(I)
II = II - IL
DO 270 J = 1,12
II = II + 1
KE(II) = 0.0
KE(IL) = 0.0
IL = IL + 12
270 CONTINUE
GO TO 320
280 DO 300 J = 1,12
JI = 12*(J-1) + IPIN(I)
IJ = 12*(IPIN(I) - 1) + J
DO 290 LL = 1,12
JLL = 12*(J-1) + LL
ILL = 12*(IPIN(I) - 1) + LL
KEP(JLL) = KE(JLL) - (KE(ILL)/KE(II))*KE(JI)
290 CONTINUE
KEP(IJ) = 0.0
KEP(JI) = 0.0
300 CONTINUE
DO 310 K = 1,144
310 KE(K) = KEP(K)
320 CONTINUE
C
C E
C STORE K IN KEP(1),...,KEP(36) AND
C AA
C
C E
C STORE K IN KEP(37),...,KEP(72)
C AB
C
325 J = 0
DO 340 I = 1,72,12
LOW = I
LIM = LOW + 5
DO 330 K = LOW,LIM
J = J + 1
KEP(J) = KE(K)
330 KEP(J+36) = KE(K+6)
340 CONTINUE
C T
C STORE VECI, VECJ, VECK IN KE(1),...,KE(9) FORMING THE A MATRIX.
C
KE(1) = VECI(1)
KE(2) = VECI(2)
KE(3) = VECI(3)
KE(4) = VECJ(1)
KE(5) = VECJ(2)
KE(6) = VECJ(3)
KE(7) = VECK(1)
KE(8) = VECK(2)
KE(9) = VECK(3)
C
C SET POINTERS SO THAT WE WILL BE WORKING WITH POINT A.
C
BASIC = ABASIC
JCSID = JCSIDA
OFFSET= AOFSET
JOFSET= JOFSTA
IWBEG = 0
IKEL = 1
ISASB = 73
INDEX = ISILNO(1)
C
C ZERO OUT THE ARRAY WHERE THE 3 X 3 MATRIX AND THE W AND W 6 X 6
C MATRICES WILL RESIDE. A B
C
DO 350 I = 28,108
350 KE(I) = 0.0
C
C SET UP THE -G- MATRIX. IG POINTS TO THE BEGINNING OF THE G MATRIX
C G = AT X TI
C
360 IG = 1
IF (BASIC) GO TO 370
CALL GBTRAN (ECPT(JCSID),ECPT(JCSID+1),KE(10))
CALL GMMATS (KE(1),3,3,0,KE(10),3,3,0, KE(19))
IG = 19
C
C IF THERE IS A NON-ZERO OFFSET FOR THE POINT, SET UP THE D 3 X 3
C MATRIX.
C
370 IF (.NOT. OFFSET) GO TO 380
KE(10) = 0.0
KE(11) = ECPT(JOFSET+2)
KE(12) = -ECPT(JOFSET+1)
KE(13) = -KE(11)
KE(14) = 0.0
KE(15) = ECPT(JOFSET)
KE(16) = -KE(12)
KE(17) = -KE(15)
KE(18) = 0.0
C
C FORM THE 3 X 3 PRODUCT H = G X D, I.E., KE(28) = KE(IG) X KE(10)
C
CALL GMMATS (KE(IG),3,3,0, KE(10),3,3,0, KE(28))
C
C FORM THE W MATRIX OR THE W MATRIX IN KE(37) OR KE(73) DEPENDING
C A B
C UPON WHICH POINT - A OR B - IS UNDER CONSIDERATION. G WILL BE
C STORED IN THE UPPER LEFT AND LOWER RIGHT CORNERS. H, IF NON-ZERO,
C WILL BE STORED IN THE UPPER RIGHT CORNER.
C
380 KE(IWBEG+37) = KE(IG )
KE(IWBEG+38) = KE(IG+1)
KE(IWBEG+39) = KE(IG+2)
KE(IWBEG+43) = KE(IG+3)
KE(IWBEG+44) = KE(IG+4)
KE(IWBEG+45) = KE(IG+5)
KE(IWBEG+49) = KE(IG+6)
KE(IWBEG+50) = KE(IG+7)
KE(IWBEG+51) = KE(IG+8)
KE(IWBEG+58) = KE(IG )
KE(IWBEG+59) = KE(IG+1)
KE(IWBEG+60) = KE(IG+2)
KE(IWBEG+64) = KE(IG+3)
KE(IWBEG+65) = KE(IG+4)
KE(IWBEG+66) = KE(IG+5)
KE(IWBEG+70) = KE(IG+6)
KE(IWBEG+71) = KE(IG+7)
KE(IWBEG+72) = KE(IG+8)
IF (.NOT.OFFSET) GO TO 390
KE(IWBEG+40) = KE(28)
KE(IWBEG+41) = KE(29)
KE(IWBEG+42) = KE(30)
KE(IWBEG+46) = KE(31)
KE(IWBEG+47) = KE(32)
KE(IWBEG+48) = KE(33)
KE(IWBEG+52) = KE(34)
KE(IWBEG+53) = KE(35)
KE(IWBEG+54) = KE(36)
C E E
C FORM THE PRODUCT S = K X W OR S = K X W , DEPENDING
C A AA A B AB B
C
C UPON WHICH POINT WE ARE WORKING WITH.
C
390 CALL GMMATS (KEP(IKEL),6,6,0, KE(IWBEG+37),6,6,0, KEP(ISASB))
C
C IF THE POINT UNDER CONSIDERATION IS POINT B WE ARE FINISHED. IF
C NOT, SET UP POINTS AND INDICATORS FOR WORKING WITH POINT B.
C
IF (IWBEG .EQ. 36) GO TO 500
BASIC = BBASIC
JCSID = JCSIDB
OFFSET = BOFSET
JOFSET = JOFSTB
IWBEG = 36
IKEL = 37
ISASB = 109
INDEX = ISILNO(2)
DO 400 I = 28,36
400 KE(I) = 0.0
GO TO 360
C
C NOW PERFORM THE ELEMENT TEMPERATURE AND DEFORMATION LOADING.
C
500 TBAR = TSUB0
IF (NOGPTT .EQ. 0) GO TO 510
CALL SSGETD (ECPT(1),KE(1),0)
TBAR = (KE(1) + KE(2))/2.0
510 DELTA = 0.0
IF (NOEDT .EQ. 0) GO TO 520
KE(3) = 0.0
KE(4) = 0.0
KE(5) = 0.0
KE(6) = 0.0
CALL FEDT (ECPT(1),DELTA,IDEFM)
GO TO 530
520 DELTA = 0.0
C
C ELEMENT TEMPERATURE DATA BEGINS AT KE(1)
C ELEMENT DEFORMATION DATA = DELTA
C
C S BEGINS AT KEP(73) (6 X 6)
C A
C
C S BEGINS AT KEP(109) (6 X 6)
C B
C
C NOW FILL THE U MATRIX (6 X 1)
C A
C
530 ALPHAL = ALPHA*L
C
UA(1) = -ALPHAL*(TBAR - TSUB0) - DELTA
UA(2) = -ALPHAL*L*(KE(3) + 2.0*KE(4))/6.0
UA(3) = -ALPHAL*L*(KE(5) + 2.0*KE(6))/6.0
UA(4) = 0.0
UA(5) = -ALPHAL*(KE(5) + KE(6))/2.0
UA(6) = ALPHAL*(KE(3) + KE(4))/2.0
C
C COMPUTE P AND P AND STORE THEM INTO Z (OPEN CORE)
C A B
C
DO 600 I = 1,2
CALL GMMATS (KEP(36*I+37),6,6,1, UA(1),6,1,0, KE(1))
K = IECPT(I+1) - 1
DO 550 J = 1,6
K = K + 1
550 Z(K) = Z(K) + KE(J)
600 CONTINUE
C
RETURN
END
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