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|
SUBROUTINE TRAPAD
C
C THIS SUBROUTINE CALCULATES THE STIFFNESS AND MASS MATRICES FOR
C THE ASSYMETRIC RING ELEMENT WITH A TRAPEZOIDAL CROSS SECTION
C
C DOUBLE PRECISION VERSION
C
C ECPT FOR THE TRAPAX ELEMENT
C
C ECPT( 1) = ELEMENT ID I
C ECPT( 2) = SIL A I
C ECPT( 3) = SIL B I
C ECPT( 4) = SIL C I
C ECPT( 5) = SIL D
C ECPT( 6) = MATERIAL ORIENTATION ANGLE(DEGREES) R
C ECPT( 8) = MATERIAL ID I
C ECPT( 9) TO ECPT(22) FOR PHI
C ECPT(23) = COOR. SYS. FOR GRID POINT A I
C ECPT(24) = X-COOR. OF GRID POINT A (IN BASIC COOR) R
C ECPT(25) = Z-COOR. OF GRID POINT A (IN BASIC COOR) R
C ECPT(26) = 0.0
C ECPT(27) = COOR. SYS. FOR GRID POINT B
C ECPT(28) = X-COOR. OF GRID POINT B (IN BASIC COOR) R
C ECPT(29) = Z-COOR. OF GRID POINT B (IN BASIC COOR) R
C ECPT(30) = 0.0
C ECPT(31) = COOR. SYS. FOR GRID POINT C I
C ECPT(32) = X-COOR. FOR GRID POINT C R
C ECPT(33) = Z-COOR. FOR GRID POINT C R
C ECPT(34) = 0.0
C ECPT(35) = COOR. SYS. FOR GRID POINT D I
C ECPT(36) = X-COOR FOR GRID POINT D R
C ECPT(37) = Z-COOR FOR GRID POINT D R
C ECPT(38) = 0.0
C ECPT(39) = EL. TEMPERATURE FOR MATERIAL PROP R
C
C ANY GROUP OF STATEMENTS PREFACED BY AN IF STATEMENT CONTAINING
C ...KSYS78 OR LSYS78 ... INDICATES CODING NECESSARY FOR THIS
C ELEMENT*S PIEZOELECTRIC CAPABILITY
C
C KSYS78 = 0 ELASTIC, NON-PIEZOELECTRIC MATERIAL
C KSYS78 = 1 ELECTRICAL-ELASTIC COUPLED, PIEZOELETRIC MATERIAL
C KSYS78 = 2 ELASTIC ONLY, PIEZOELECTRIC MATERIAL
C LSYS78 = .TRUE. IF KSYS78 = 0, OR 2
C
LOGICAL PZMAT,LSYS78,IHEAT,NOGO
INTEGER ELID,ESTID,DICT(14),IPART(4)
DOUBLE PRECISION BMASS(12,12),BMBSS(144),ACURL(208),D(144),
1 AK(144),AKJ(256),AKT(27),PI,TWOPI,XQ,DEGRAD,
2 E(3),ANU(3),GB(12,12),R(4),Z(4),DELINT(12),
3 EE(63),TEO(45),SP(36),ZMIN,GAMR,COSG,SING,V,VZ,
4 VR,DEL,C2S2,C2,S2,C4,S4,DGAM,AJHO,AJJHO,RHOD,
5 AR,RZINTD,RMIN,RMAX,D1(48),D2(16),GBP(4,4),
6 ACURP1(48),ACURP2(16),AKUPH(48),AKPH2(16)
DIMENSION IECPT(39),ICS(4),ECPT(20)
COMMON /SYSTEM/ KSYSTM(77),KSYS78,KDUM2(2),IHEAT
COMMON /EMGPRM/ DUM(15),ISMB(3),IPREC,NOGO,HEAT,ICMBAR
COMMON /EMGDIC/ IDM,LDICT,NGRIDS,ELID,ESTID
COMMON /EMGEST/ IDEL,IGP(4),DGAMA,GAM,MATID,IPHI(13),CSDAT(16),
1 TEMPE
COMMON /CONDAD/ PI,TWOPI,XQ, DEGRAD
C
C INPUT AND OUTPUT BLOCKS FOR SUBROUTINE MAT
C
COMMON /MATIN / MATIDC,MATFLG,ELTEMP,STRESS,SINTH,COSTH
COMMON /MATOUT/ ES(3),ANUS(3),RHO,G(3),ALF(3),TZERO,GSUBE,
1 MOSKP(9),SETMAT
COMMON /MATPZ / PZOUT(51)
C COMMON /MATPZ / CE11,CE12,CE13,CE14,CE15,CE16,CE22,CE23,CE24,
C CE25,CE26,CE33,CE34,CE35,CE36,CE44,CE45,CE46,
C CE55,CE56,CE66,E11,E12,E13,E14,E15,E16,E21,E22,
C E23,E24,E25,E26,E31,E32,E33,E34,E35,E36,EPS11,
C EPS12,EPS13,EPS22
C
EQUIVALENCE (ECPT(1),IECPT(1),IDEL),(KSYSTM(2),IOUT),
1 (BMASS(1,1),ACURL(1),BMBSS(1)),(DICT5,DICT(5)),
2 (ACURP1(1),ACURL(145)),(ACURP2(1),ACURL(193))
DATA IDEL2 , JAX / 0, 4HTRAP /
C
LSYS78 = .FALSE.
IF (KSYS78.EQ.0 .OR. KSYS78.EQ.2) LSYS78 =.TRUE.
IDEL1 = IDEL/1000
ISORT = 0
MASOR = 0
C
C IF STIFFNESS MATRIX NOT NEEDED GO CALCULATE MASS MATRIX
C
DO 50 I = 1,4
ICS(I) = IECPT(4*I+19)
R(I) = ECPT(4*I+20)
Z(I) = ECPT(4*I+21)
50 D(I) = ECPT(4*I+22)
C
C TEST THE VALIDITY OF THE GRID POINT COORDINATES
C NOTE THAT INTEGRATION ROUTINE FAILS FOR R = 0.0
C
DO 200 I = 1,4
IF (R(I) .LE. 0.) GO TO 7770
IF (D(I) .NE. 0.) GO TO 7770
200 CONTINUE
C
C COMPUTE THE ELEMENT COORDINATES
C
ZMIN = DMIN1(Z(1),Z(2),Z(3),Z(4))
DO 120 I = 1,4
120 Z(I) = Z(I) - ZMIN
C
C FATAL IF RATIO OF RADII IS TO LARGE FOR GUASS QUADRATURE
C
RMIN = DMIN1(R(1),R(2),R(3),R(4))
RMAX = DMAX1(R(1),R(2),R(3),R(4))
IF (RMAX/RMIN .LE. 10.D0) GO TO 206
IF (RMAX/RMIN .GT. 10.D0) GO TO 7760
C
206 IF (R(1).GE.R(2) .OR. R(4).GE.R(3) .OR. Z(4).LE.Z(1)) GO TO 7770
IF (DABS(Z(1)-Z(2)) .GT. 1.0D-3) GO TO 7770
IF (DABS(Z(3)-Z(4)) .GT. 1.0D-3) GO TO 7770
D(5) = (R(1)+R(4))/2.D0
D(6) = (R(2)+R(3))/2.D0
IF (D(5) .EQ. 0.D0) GO TO 210
IF (DABS((R(1)-R(4))/D(5)) .GT. .5D-2) GO TO 210
R(1) = D(5)
R(4) = D(5)
210 CONTINUE
IF (D(6) .EQ. 0.D0) GO TO 220
IF (DABS((R(2)-R(3))/D(6)) .GT. .5D-2) GO TO 220
R(2) = D(6)
R(3) = D(6)
220 CONTINUE
C
C FORM THE TRANSFORMMATION MATRIX(12X12) FROM FIELD COOR, TO GRID
C POINT DEGREES OF FREEDOM
C
DO 300 I = 1,144
300 GB( I, 1) = 0.D0
GB( 1, 1) = 1.
GB( 2, 1) = R(1)
GB( 3, 1) = Z(1)
GB( 4, 1) = R(1)*Z(1)
GB( 5, 2) = 1.
GB( 6, 2) = R(1)
GB( 7, 2) = Z(1)
GB( 8, 2) = GB(4,1)
GB( 9, 3) = 1.
GB(10, 3) = R(1)
GB(11, 3) = Z(1)
GB(12, 3) = GB(4,1)
GB( 1, 4) = 1.
GB( 2, 4) = R(2)
GB( 3, 4) = Z(2)
GB( 4, 4) = R(2)* Z(2)
GB( 5, 5) = 1.
GB( 6, 5) = R(2)
GB( 7, 5) = Z(2)
GB( 8, 5) = GB(4,4)
GB( 9, 6) = 1.
GB(10, 6) = R(2)
GB(11, 6) = Z(2)
GB(12, 6) = GB(4,4)
GB( 1, 7) = 1.
GB( 2, 7) = R(3)
GB( 3, 7) = Z(3)
GB( 4, 7) = R(3)*Z(3)
GB( 5, 8) = 1.
GB( 6, 8) = R(3)
GB( 7, 8) = Z(3)
GB( 8, 8) = GB(4,7)
GB( 9, 9) = 1.
GB(10, 9) = R(3)
GB(11, 9) = Z(3)
GB(12, 9) = GB(4,7)
GB( 1,10) = 1.
GB( 2,10) = R(4)
GB( 3,10) = Z(4)
GB( 4,10) = R(4)*Z(4)
GB( 5,11) = 1.
GB( 6,11) = R(4)
GB( 7,11) = Z(4)
GB( 8,11) = GB(4,10)
GB( 9,12) = 1.
GB(10,12) = R(4)
GB(11,12) = Z(4)
GB(12,12) = GB(4,10)
C
IF (LSYS78) GO TO 305
GBP(1,1) = 1.D0
GBP(2,1) = R(1)
GBP(3,1) = Z(1)
GBP(4,1) = R(1)*Z(1)
GBP(1,2) = 1.D0
GBP(2,2) = R(2)
GBP(3,2) = Z(2)
GBP(4,2) = R(2)*Z(2)
GBP(1,3) = 1.D0
GBP(2,3) = R(3)
GBP(3,3) = Z(3)
GBP(4,3) = R(3)*Z(3)
GBP(1,4) = 1.D0
GBP(2,4) = R(4)
GBP(3,4) = Z(4)
GBP(4,4) = R(4)*Z(4)
305 CONTINUE
C
IF (ISMB(1) .EQ. 0) GO TO 800
C
C NO NEED TO COMPUTE DETERMINANT SINCE IT IS NOT USED SUBSEQUENTLY.
C
ISING = -1
CALL INVERD (12,GB,12,D(10), 0,D(11), ISING,SP)
IF (ISING .EQ. 2) GO TO 7790
C
IF (KSYS78 .EQ. 1) CALL INVERD (4,GBP,4,D(10),0,D(11),ISING,SP)
IF (ISING .EQ. 2) GO TO 7790
IF (NOGO) RETURN
C
C DELINT( 1) = (-1,0)
C DELINT( 2) = (-1,1)
C DELINT( 3) = (-1,2)
C DELINT( 4) = ( 0,0)
C DELINT( 5) = ( 0,1)
C DELINT( 6) = ( 0,2)
C DELINT( 7) = ( 1,0)
C DELINT( 8) = ( 1,1)
C DELINT( 9) = ( 1,2)
C DELINT(10) = ( 2,0)
C DELINT(11) = ( 2,1)
C DELINT(12) = ( 3,0)
C
I1 = 0
DO 400 I = 1, 4
IP = I - 2
DO 350 J = 1,3
IQ = J - 1
I1 = I1 + 1
IF (I1 .NE. 12) GO TO 340
IP = 3
IQ = 0
340 CONTINUE
DELINT(I1) = RZINTD(IP,IQ,R,Z,4)
350 CONTINUE
400 CONTINUE
C
C LOCATE THE MATERIAL PROPERTIES IN THE MAT1 OR MAT3
C
MATIDC = MATID
MATFLG = 7
IF (KSYS78 .GT. 0) MATFLG = 9
ELTEMP = TEMPE
C
GAMR = DGAMA*DEGRAD
COSG = DCOS(GAMR)
SING = DSIN(GAMR)
SINTH = SING
COSTH = COSG
CALL MAT (IDEL)
PZMAT = .FALSE.
IF (SETMAT.EQ.4. .OR. SETMAT.EQ.5.) PZMAT = .TRUE.
IF (PZMAT) GO TO 410
KSAVE = KSYS78
KSYS78 = 0
LSYS78 = .TRUE.
GO TO 420
410 RHO = PZOUT(46)
ALF(1) = PZOUT(47)
ALF(2) = PZOUT(48)
ALF(3) = PZOUT(49)
TZERO = PZOUT(50)
GSUBE = PZOUT(51)
420 CONTINUE
C
IF (SETMAT .EQ. 2.) GO TO 7780
CWKBI SPR94002 5/94
DICT5 = GSUBE
IF(KSYS78 .GT. 0 ) GO TO 500
DO 450 I = 1,3
ANU(I) = ANUS(I)
450 E(I) = ES(I)
V = ANU(1)*E(2)/E(1)
VZ = ANU(2)*E(3)/E(2)
VR = ANU(3)*E(1)/E(3)
DEL = 1./(1. - V*ANU(1) - VZ*ANU(2) - VR*ANU(3) - ANU(1)*ANU(2)*
1 ANU(3) - V*VZ*VR )
C
C COMPUTE ELASTIC CONSTANTS MATRIX FROM MATERIAL TO ELEMENT AXIS
C
500 CONTINUE
DO 510 I = 1,45
510 TEO(I) = 0.
C
IF (KSYS78 .GT. 0) GO TO 520
TEO( 1) = E(1)*(1.- ANU(2)*VZ)*DEL
TEO( 2) = E(1)*(ANU(3)+ VZ* V)*DEL
TEO( 3) = E(3)*(1.- ANU(1)*V )*DEL
TEO( 4) = E(1)*(V + ANU(3)*ANU(2))*DEL
TEO( 5) = E(2)*(VZ +ANU(1)*ANU(3))*DEL
TEO( 6) = E(2)*(1.- VR*ANU(3))*DEL
TEO(10) = G(3)
TEO(15) = G(1)
TEO(21) = G(2)
GO TO 530
520 CONTINUE
C
C PIEZOELECTRIC MATERIAL PROPERTIES STORED IN TEO(22-39)
C DIELECTRIC MATERIAL PROPERTIES STORED IN TEO(40-45)
C TEO(22-39) CONTAINS E-TRANSPOSE
C
TEO( 1) = PZOUT( 1)
TEO( 2) = PZOUT( 2)
TEO( 3) = PZOUT( 7)
TEO( 4) = PZOUT( 3)
TEO( 5) = PZOUT( 8)
TEO( 6) = PZOUT(12)
TEO( 7) = PZOUT( 4)
TEO( 8) = PZOUT( 9)
TEO( 9) = PZOUT(13)
TEO(10) = PZOUT(16)
TEO(11) = PZOUT( 5)
TEO(12) = PZOUT(10)
TEO(13) = PZOUT(14)
TEO(14) = PZOUT(17)
TEO(15) = PZOUT(19)
TEO(16) = PZOUT( 6)
TEO(17) = PZOUT(11)
TEO(18) = PZOUT(15)
TEO(19) = PZOUT(18)
TEO(20) = PZOUT(20)
TEO(21) = PZOUT(21)
IF (KSYS78 .EQ. 2) GO TO 530
TEO(22) = PZOUT(22)
TEO(23) = PZOUT(28)
TEO(24) = PZOUT(34)
TEO(25) = PZOUT(23)
TEO(26) = PZOUT(29)
TEO(27) = PZOUT(35)
TEO(28) = PZOUT(24)
TEO(29) = PZOUT(30)
TEO(30) = PZOUT(36)
TEO(31) = PZOUT(25)
TEO(32) = PZOUT(31)
TEO(33) = PZOUT(37)
TEO(34) = PZOUT(26)
TEO(35) = PZOUT(32)
TEO(36) = PZOUT(38)
TEO(37) = PZOUT(27)
TEO(38) = PZOUT(33)
TEO(39) = PZOUT(39)
TEO(40) =-PZOUT(40)
TEO(41) =-PZOUT(41)
TEO(42) =-PZOUT(42)
TEO(43) =-PZOUT(43)
TEO(44) =-PZOUT(44)
TEO(45) =-PZOUT(45)
530 CONTINUE
C
C MATRIX EG STORED AS FOLLOWS IN EE
C 1
C 2 3
C 4 5 6
C 7 8 9 10
C 11 12 13 14 15
C 16 17 18 19 20 21
C
C2 = COSG*COSG
S2 = SING*SING
C4 = C2*C2
S4 = S2*S2
C2S2= C2*S2
C3 = COSG*C2
S3 = SING*S2
CS2 = COSG*S2
SC2 = SING*C2
CS = COSG*SING
C
EE( 1) = TEO(1)*C4 + TEO(3)*S4 + 2.*C2S2*(TEO(2)+2.*TEO(10))
EE( 2) = TEO(2)*(C4+S4) + C2S2*(TEO(1)+TEO(3)-4.0D0*TEO(10))
EE( 3) = TEO(1)*S4 + 2.*C2S2*(TEO(2)+2.*TEO(10)) + TEO(3)*C4
EE( 4) = TEO(4)*C2 + TEO(5)*S2
EE( 5) = TEO(4)*S2 + TEO(5)*C2
EE( 6) = TEO(6)
EE( 7) = COSG*SING*S2*(TEO(2)-TEO(3)+2.*TEO(10))
7 + SING*COSG*C2*(TEO(1)-TEO(2)-2.*TEO(10))
EE( 8) = SING*COSG*C2*(TEO(2)-TEO(3)+2.*TEO(10))
8 + COSG*SING*S2*(TEO(1)-TEO(2)-2.*TEO(10))
EE( 9) = SING*COSG*(TEO(4)-TEO(5))
EE(10) = C2S2*(TEO(1) - 2.*TEO(2) + TEO(3)) + TEO(10)*(C2-S2)**2
EE(11) = 0.
EE(12) = 0.
EE(13) = 0.
EE(14) = 0.
EE(15) = TEO(15)*C2 + TEO(21)*S2
EE(20) = COSG*SING*(TEO(15)-TEO(21))
EE(21) = TEO(15)*S2 + TEO(21)*C2
C
C COMPUTE HARMONIC COEFFICIENT
C
MJHO = MOD(IECPT(1),1000) - 1
AJHO = MJHO
AJJHO = AJHO*AJHO
C
C FORM THE ELEMENT STIFFNESS MATRIX IN FIELD SYSTEM
C
ACURL( 1) = (EE(6) + AJJHO*EE(15))*DELINT(1)
ACURL( 2) = (EE(4) + EE(6) + AJJHO*EE(15))*DELINT(4)
ACURL( 3) = (EE(6) + AJJHO*EE(15))*DELINT(2) + EE(9)*DELINT(4)
ACURL( 4) = (EE(4) + EE(6) + AJJHO*EE(15))*DELINT(5) +
4 EE(9)*DELINT(7)
ACURL( 5) = AJHO*(EE(6) + EE(15))*DELINT(1)
ACURL( 6) = AJHO*EE(6)*DELINT(4)
ACURL( 7) = AJHO*(EE(6) + EE(15))*DELINT(2) -AJHO*EE(20)*DELINT(4)
ACURL( 8) = AJHO*EE(6)*DELINT(5) - AJHO*EE(20)*DELINT(7)
ACURL( 9) = AJJHO*EE(20)*DELINT(1)
ACURL(10) = DELINT(4)*(EE(9) + AJJHO*EE(20))
ACURL(11) = DELINT(4)*EE(5) + AJJHO*DELINT(2)*EE(20)
ACURL(12) = DELINT(7)*EE(5) + DELINT(5)*(EE(9)+AJJHO*EE(20))
ACURL(14) = (EE(1) + 2.*EE(4) + EE(6) + AJJHO*EE(15))*DELINT(7)
ACURL(15) = (EE(4) + EE(6) + AJJHO*EE(15))*DELINT(5) +
5 (EE(7) + EE(9))*DELINT(7)
ACURL(16) = (EE(1) + 2.*EE(4) + AJJHO *EE(15) + EE(6))*DELINT(8)
6 + (EE(7) + EE(9))*DELINT(10)
ACURL(17) = AJHO*(EE(4) + EE(6) + EE(15))*DELINT(4)
ACURL(18) = AJHO*(EE(4) + EE(6))*DELINT(7)
ACURL(19) = AJHO*(EE(4) + EE(6) + EE(15))*DELINT(5) - AJHO*EE(20)
9 * DELINT(7)
ACURL(20) = AJHO*(EE(4) + EE(6))*DELINT(8) -AJHO*EE(20)*DELINT(10)
ACURL(21) = AJJHO*EE(20)*DELINT(4)
ACURL(22) = DELINT(7)*(EE(7)+EE(9)+AJJHO*EE(20))
ACURL(23) = DELINT(7)*(EE(2)+EE(5))+AJJHO*DELINT(5)*EE(20)
ACURL(24) = DELINT(10)*(EE(2)+EE(5))+DELINT(8)*(EE(7)+EE(9)) +
4 DELINT(8)*AJJHO*EE(20)
ACURL(27) = (EE(6) + AJJHO*EE(15))*DELINT(3)+ 2.* EE(9)*DELINT(5)
7 + EE(10)*DELINT(7)
ACURL(28) = (EE(4) + EE(6) + AJJHO*EE(15))*DELINT(6)
8 + EE(10)*DELINT(10) + (EE(7) + 2.*EE(9))*DELINT(8)
ACURL(29) = AJHO*(EE(6) + EE(15))*DELINT(2) + AJHO*EE(9)*DELINT(4)
ACURL(30) = AJHO*EE(6)*DELINT(5) + AJHO*EE(9)*DELINT(7)
ACURL(31) = AJHO*(EE(6) + EE(15))*DELINT(3) + AJHO*(EE(9) -
1 EE(20))*DELINT(5)
ACURL(32) = AJHO*(EE(9) - EE(20))*DELINT(8) + AJHO*EE(6)*DELINT(6)
ACURL(33) = AJJHO*EE(20)*DELINT(2)
ACURL(34) = DELINT(7)*EE(10) + DELINT(5)*(EE(9) + AJJHO*EE(20))
ACURL(35) = DELINT(7)*EE(8) + DELINT(5)*EE(5) + AJJHO*DELINT(3)*
5 EE(20)
ACURL(36) = DELINT(10)*EE(8) + DELINT(8)*(EE(5)+EE(10)) +
6 DELINT(6)*(EE(9) + AJJHO*EE(20))
ACURL(40) = (EE(1) + 2.*EE(4) + EE(6) + AJJHO *EE(15))*DELINT(9)
O + (2.*EE(7) + 2.*EE(9))*DELINT(11) + EE(10)*DELINT(12)
ACURL(41) = AJHO*(EE(4) + EE(6) + EE(15))*DELINT(5)
1 + AJHO*EE(9)*DELINT(7)
ACURL(42) = AJHO*(EE(4) + EE(6))*DELINT(8) + AJHO*EE(9)*DELINT(10)
ACURL(43) = AJHO*(EE(4) + EE(6) + EE(15))*DELINT(6)
3 + AJHO*(EE(9) - EE(20))*DELINT(8)
ACURL(44) = AJHO*(EE(4) + EE(6))*DELINT(9) + AJHO*(EE(9)-EE(20))
4 * DELINT(11)
ACURL(45) = AJJHO*EE(20)*DELINT(5)
ACURL(46) = DELINT(8)*(EE(7)+EE(9)+AJJHO*EE(20))+DELINT(10)*EE(10)
ACURL(47) = DELINT(8)*(EE(2)+EE(5))+DELINT(10)*EE(8) +
7 AJJHO*DELINT(6)*EE(20)
ACURL(48) = DELINT(11)*(EE(2)+EE(5)+EE(10)) + DELINT(12)*EE(8) +
8 DELINT(9)*(EE(7)+EE(9)+AJJHO*EE(20))
ACURL(53) = (EE(15) + AJJHO*EE(6))*DELINT(1)
ACURL(54) = AJJHO*EE(6)*DELINT(4)
ACURL(55) = (EE(15) + AJJHO*EE(6))*DELINT(2) - EE(20)*DELINT(4)
ACURL(56) = AJJHO*EE(6)*DELINT(5) - EE(20)*DELINT(7)
ACURL(57) = AJHO*EE(20)*DELINT(1)
ACURL(58) = AJHO*DELINT(4)*(EE(9)+EE(20))
ACURL(59) = AJHO*(DELINT(4)*EE(5) + DELINT(2)*EE(20))
ACURL(60) = AJHO*(DELINT(7)*EE(5)+DELINT(5)*(EE(9)+EE(20)))
ACURL(66) = AJJHO*EE(6)*DELINT(7)
ACURL(67) = AJJHO*EE(6)*DELINT(5)
ACURL(68) = AJJHO*EE(6)*DELINT(8)
ACURL(69) = 0.
ACURL(70) = AJHO*DELINT(7)*EE(9)
ACURL(71) = AJHO*DELINT(7)*EE(5)
ACURL(72) = AJHO*(DELINT(10)*EE(5)+DELINT(8)*EE(9))
ACURL(79) = (EE(15) + AJJHO*EE(6))*DELINT(3) - 2.*EE(20)*DELINT(5)
9 + EE(21)*DELINT(7)
ACURL(80) = AJJHO*EE(6)*DELINT(6) - EE(20)*DELINT(8)
O + EE(21)*DELINT(10)
ACURL(81) = AJHO*(EE(20)*DELINT(2) - EE(21)*DELINT(4))
ACURL(82) = AJHO*(DELINT(5)*(EE(9)+EE(20))-DELINT(7)*EE(21))
ACURL(83) = AJHO*(DELINT(5)*(EE(5)-EE(21))+DELINT(3)*EE(20))
C
IF (LSYS78) GO TO 540
C
C PIEZOELECTRIC MATERIAL PROPERTIES IN ELEMENT COORDINATES
C
EE(37) = C3*TEO(22) - S3*TEO(26) + CS2*(TEO(25)+2.0*TEO(32)) -
7 SC2*(TEO(23)+2.0*TEO(31))
EE(38) = C3*TEO(23) + S3*TEO(25) + CS2*(TEO(26)-2.0*TEO(31)) +
8 SC2*(TEO(22)-2.0*TEO(32))
EE(39) = S2*TEO(27) + C2*TEO(24) - 2.0*CS*TEO(33)
EE(40) = C3*TEO(25) - S3*TEO(23) + CS2*(TEO(22)-2.0*TEO(32)) -
O SC2*(TEO(26)-2.0*TEO(31))
EE(41) = C3*TEO(26) + S3*TEO(22) + CS2*(TEO(23)+2.0*TEO(31)) +
1 SC2*( TEO(25)+2.0*TEO(32))
EE(42) = S2*TEO(24) + C2*TEO(27) + 2.0*CS*TEO(33)
EE(43) = COSG*TEO(28) - SING*TEO(29)
EE(44) = COSG*TEO(29) + SING*TEO(28)
EE(45) = TEO(30)
EE(46) = C3*TEO(31) + S3*TEO(32) - CS2*(TEO(23)-TEO(26)+TEO(31)) +
6 SC2*(-TEO(32)-TEO(25)+TEO(22))
EE(47) = C3*TEO(32) - S3*TEO(31) - CS2*(TEO(25)-TEO(22)+TEO(32)) +
7 SC2*(TEO(23)+TEO(31)-TEO(26))
EE(48) = (C2-S2)*TEO(33) + CS*(TEO(24)-TEO(27))
EE(49) = C2*TEO(34) + S2*TEO(38) - CS*(TEO(35)+TEO(37))
EE(50) = C2*TEO(35) - S2*TEO(37) + CS*(TEO(34)-TEO(38))
EE(51) = COSG*TEO(36) - SING*TEO(39)
EE(52) = C2*TEO(37) - S2*TEO(35) - CS*(TEO(38)-TEO(34))
EE(53) = C2*TEO(38) + S2*TEO(34) + CS*(TEO(35)+TEO(37))
EE(54) = COSG*TEO(39) + SING*TEO(36)
C
C DIELECTRIC MATERIAL PROPERTIES IN ELEMENT COORDINTES
C
EE(55) = S2*TEO(43) - 2.0*CS*TEO(41) + C2*TEO(40)
EE(56) = (C2-S2)*TEO(41) - CS*(TEO(43)-TEO(40))
EE(57) =-SING*TEO(44) + COSG*TEO(42)
EE(59) = C2*TEO(43) + 2.0*CS*TEO(41) + S2*TEO(40)
EE(60) = COSG*TEO(44) + SING*TEO(42)
EE(63) = TEO(45)
540 CONTINUE
ACURL( 84) = AJHO*(DELINT(8)*(EE(5)-EE(21))+DELINT(6)*(EE(9) +
1 EE(20)))
ACURL( 92) = EE (21) * DELINT (12) + AJJHO * EE (6) * DELINT(9)
ACURL( 93) =-AJHO * EE(21) * DELINT (7)
ACURL( 94) = AJHO*(DELINT(8)*EE(9)-DELINT(10)*EE(21))
ACURL( 95) = AJHO* DELINT(8) * (EE(5)-EE(21))
ACURL( 96) = AJHO*(DELINT(11)*(EE(5)-EE(21))+DELINT(9)*EE(9))
ACURL(105) = AJJHO * EE(21) * DELINT (1)
ACURL(106) = AJJHO*DELINT(4)*EE(21)
ACURL(107) = AJJHO*DELINT(2)*EE(21)
ACURL(108) = AJJHO*DELINT(5)*EE(21)
ACURL(118) = DELINT(7)*(EE(10)+AJJHO*EE(21))
ACURL(119) = DELINT(7)*EE(8)+AJJHO*DELINT(5)*EE(21)
ACURL(120) = DELINT(10)*EE(8)+DELINT(8)*(EE(10)+AJJHO*EE(21))
ACURL(131) = DELINT(7)*EE(3)+AJJHO*DELINT(3)*EE(21)
ACURL(132) = DELINT(10)*EE(3)+DELINT(8)*EE(8)+AJJHO*DELINT(6)*
2 EE(21)
ACURL(144) = DELINT(12)*EE(3) + 2.*DELINT (11)* EE(8) +
4 DELINT(9)*(EE(10)+AJJHO*EE(21))
C
IF (LSYS78) GO TO 550
ACURL(145) = DELINT(1)*AJHO*(AJHO*EE(51)-EE(45))
ACURL(146) = DELINT(4)*(EE(43)+AJHO*(AJHO*EE(51)-EE(49)-EE(45)))
ACURL(147) = DELINT(2)*AJHO*(AJHO*EE(51)-EE(45))+DELINT(4)*
7 (EE(44)-AJHO*EE(50))
ACURL(148) = DELINT(5)*(EE(43)+AJHO*(AJHO*EE(51)-EE(49)-EE(45)))
8 +DELINT(7)*(EE(44)-AJHO*EE(50))
ACURL(149) = DELINT(4)*AJHO*(AJHO*EE(51)-EE(45)-EE(39))
ACURL(150) = DELINT(7)*(EE(43)+EE(37)+AJHO*(AJHO*EE(51)-EE(49)
O - EE(45)-EE(39)))
ACURL(151) = DELINT(5)*AJHO*(AJHO*EE(51)-EE(45)-EE(39))+DELINT(7)
1 * (EE(44)+EE(38)-AJHO*EE(50))
ACURL(152) = DELINT(8)*(EE(43)+EE(37)+AJHO*(AJHO*EE(51)-EE(49)-
2 EE(45)-EE(39)))+DELINT(10)*(EE(44)+EE(38)-AJHO*
2 EE(50))
ACURL(153) = DELINT(2)*AJHO*(AJHO*EE(51)-EE(45))-DELINT(4)*AJHO
3 * EE(48)
ACURL(154) = DELINT(5)*(EE(43)+AJHO*(AJHO*EE(51)-EE(49)-EE(45)))
4 + DELINT(7)*(EE(46)-AJHO*EE(48))
ACURL(155) = DELINT(3)*AJHO*(AJHO*EE(51)-EE(45))+DELINT(5)*
5 (EE(44)-AJHO*(EE(50)+EE(48)))+DELINT(7)*EE(47)
ACURL(156) = DELINT(6)*(EE(43)+AJHO*(AJHO*EE(51)-EE(49)-EE(45)))
6 + DELINT(8)*(EE(46)+EE(44)-AJHO*(EE(50)+EE(48)))+
6 DELINT(10)*EE(47)
ACURL(157) = DELINT(5)*AJHO*(AJHO*EE(51)-EE(45)-EE(39))-DELINT(7)
7 * AJHO*EE(48)
ACURL(158) = DELINT(8)*(EE(43)+EE(47)+AJHO*(AJHO*EE(51)-EE(49)-
8 EE(45)-EE(39)))-DELINT(10)*(EE(46)-AJHO*EE(48))
ACURL(159) = DELINT(6)*AJHO*(AJHO*EE(51)-EE(45)-EE(39))+DELINT(8)
9 * (EE(44)+EE(38)-AJHO*(EE(50)+EE(48)))+DELINT(10)*
9 EE(47)
ACURL(160) = DELINT(9)*(EE(43)+EE(37)+AJHO*(AJHO*EE(51)-EE(49)-
O EE(45)-EE(39)))+DELINT(11)*(EE(46)+EE(44)+EE(38)-
O AJHO*(EE(50)+EE(48)))+DELINT(12)*EE(47)
ACURL(161) = DELINT(1)*AJHO*(EE(51)-AJHO*EE(45))
ACURL(162) = DELINT(4)*(-EE(49)+AJHO*(EE(51)+EE(43)-AJHO*EE(45)))
ACURL(163) = DELINT(2)*AJHO*(EE(51)-AJHO*EE(45))+DELINT(4)*
3 (AJHO*EE(44)-EE(50))
ACURL(164) = DELINT(5)*(-EE(49)+AJHO*(EE(51)+EE(43)-AJHO*EE(51)))
4 + DELINT(7)*(AJHO*EE(44)-EE(50))
ACURL(165) =-DELINT(4)*AJJHO*EE(45)
ACURL(166) = DELINT(7)*AJHO*(EE(43)-AJHO*EE(45))
ACURL(167) = DELINT(7)*AJHO*EE(44)-DELINT(5)*AJJHO*EE(45)
ACURL(168) = DELINT(8)*AJHO*(EE(43)-AJHO*EE(45))+DELINT(10)*
8 AJHO*EE(44)
ACURL(169) = DELINT(2)*AJHO*(EE(51)-AJHO*EE(45))-DELINT(4)*AJHO*
9 EE(54)
ACURL(170) = DELINT(5)*(-EE(49)+AJHO*(EE(51)+EE(43)-AJHO*EE(45)))
O + DELINT(7)*(EE(52)-AJHO*EE(54))
ACURL(171) = DELINT(3)*AJHO*(EE(51)-AJHO*EE(45))+DELINT(5)*
1 (AJHO*(EE(44)-EE(54))-EE(50))+DELINT(7)*EE(53)
ACURL(172) = DELINT(6)*(-EE(49)+AJHO*(EE(51)+EE(43)-AJHO*EE(45)))
2 + DELINT(8)*(EE(52)-EE(50)+AJHO*(EE(44)-EE(54)))
2 + DELINT(10)*EE(53)
ACURL(173) =-DELINT(5)*AJJHO*EE(45)-DELINT(7)*AJHO*EE(54)
ACURL(174) = DELINT(8)*AJHO*(EE(43)-AJHO*EE(45))+DELINT(10)*
4 (EE(54)-AJHO*EE(54))
ACURL(175) =-DELINT(6)*AJJHO*EE(45)+DELINT(8)*AJHO*(EE(44)-
5 EE(54))+DELINT(10)*EE(53)
ACURL(176) = DELINT(9)*AJHO*(EE(43)-AJHO*EE(45))+DELINT(11)*
6 (EE(52)+AJHO*(EE(44)-EE(54)))+DELINT(12)*EE(53)
ACURL(177) = DELINT(1)*AJJHO*EE(54)
ACURL(178) = DELINT(4)*AJHO*(AJHO*EE(54)-EE(52))
ACURL(179) = DELINT(2)*AJJHO*EE(54)-DELINT(4)*AJHO*EE(53)
ACURL(180) = DELINT(5)*AJHO*(AJHO*EE(54)-EE(52))-DELINT(7)*AJHO
O * EE(53)
ACURL(181) = DELINT(4)*AJHO*(AJHO*EE(54)-EE(48))
ACURL(182) = DELINT(7)*(EE(46)+AJHO*(AJHO*EE(54)-EE(52)-EE(48)))
ACURL(183) = DELINT(5)*AJHO*(AJHO*EE(54)-EE(48))+DELINT(7)*
3 (EE(47)-AJHO*EE(53))
ACURL(184) = DELINT(8)*(EE(46)+AJHO*(AJHO*EE(54)-EE(52)-EE(48)))
4 + DELINT(10)*(EE(47)-AJHO*EE(53))
ACURL(185) = DELINT(2)*AJJHO*EE(54)-DELINT(4)*AJHO*EE(42)
ACURL(186) = DELINT(5)*AJHO*(AJHO*EE(54)-EE(52))+DELINT(7)*(EE(40)
6 - AJHO*EE(42))
ACURL(187) = DELINT(3)*AJJHO*EE(54)-DELINT(5)*AJHO*(EE(53)+EE(42))
7 + DELINT(7)*EE(41)
ACURL(188) = DELINT(6)*AJHO*(AJHO*EE(54)-EE(52))+DELINT(8)*
8 (EE(40)-AJHO*(EE(53)+EE(42)))+DELINT(10)*EE(41)
ACURL(189) =-DELINT(5)*AJHO*EE(48)+DELINT(4)*AJJHO*EE(54)
9 - DELINT(7)*AJHO*EE(42)
ACURL(190) = DELINT(8)*(EE(46)-AJHO*EE(48))+DELINT(7)*AJHO*
O (AJHO*EE(54)-EE(52))+DELINT(10)*(EE(40)-AJHO*EE(42))
ACURL(191) =-DELINT(6)*AJHO*EE(48)+DELINT(5)*AJJHO*EE(54)+
1 DELINT(8)*(EE(47)-AJHO*EE(42))-DELINT(7)*AJHO*EE(53)
1 + DELINT(10)*EE(41)
ACURL(192) = DELINT(9)*(EE(46)-AJHO*EE(48))+DELINT(8)*AJHO*
2 (AJHO*EE(54)-EE(52))+DELINT(11)*(EE(47)+EE(40)-
2 AJHO*EE(42))-DELINT(10)*AJHO*EE(53)+DELINT(12)*EE(41)
C
ACURL(193) = DELINT(1)*AJJHO*EE(63)
ACURL(194) = DELINT(4)*AJHO*(AJHO*EE(63)-EE(57))
ACURL(195) = DELINT(2)*AJJHO*EE(63)-DELINT(4)*AJHO*EE(60)
ACURL(196) = DELINT(5)*AJHO*(AJHO*EE(63)-EE(57))-DELINT(7)*
6 AJHO*EE(60)
ACURL(197) = DELINT(4)*AJHO*(AJHO*EE(63)-EE(57))
ACURL(198) = DELINT(7)*(AJJHO*EE(63)-2.0*AJHO*EE(57)+EE(55))
ACURL(199) = DELINT(5)*AJHO*(AJHO*EE(63)-EE(57))+DELINT(7)*(EE(56)
9 - AJHO*EE(60))
ACURL(200) = DELINT(8)*(AJJHO*EE(63)-2.0*AJHO*EE(57)+EE(55))
O + DELINT(10)*(EE(56)-AJHO*EE(60))
ACURL(201) = DELINT(2)*AJJHO*EE(63)-DELINT(4)*AJHO*EE(60)
ACURL(202) = DELINT(5)*AJHO*(AJHO*EE(63)-EE(57))+DELINT(7)*
2 (EE(56)-AJHO*EE(60))
ACURL(203) = DELINT(3)*AJJHO*EE(63)-DELINT(5)*2.0*AJHO*EE(60)
3 + DELINT(7)*EE(59)
ACURL(204) = DELINT(6)*AJHO*(AJHO*EE(63)-EE(57))+DELINT(8)*
4 (EE(56)-2.0*AJHO*EE(60))+DELINT(10)*EE(59)
ACURL(205) = DELINT(5)*AJHO*(AJHO*EE(63)-EE(57))-DELINT(7)*
5 AJHO*EE(60)
ACURL(206) = DELINT(8)*(AJJHO*EE(63)-2.0*EE(57)+EE(55))+DELINT(10)
6 * (EE(56)-AJHO*EE(60))
ACURL(207) = DELINT(6)*AJHO*(AJHO*EE(63)-EE(57))+DELINT(8)*(EE(56)
7 - 2.0*AJHO*EE(60))+DELINT(10)*EE(59)
ACURL(208) = DELINT(9)*(AJJHO*EE(63)-2.0*AJHO*EE(57)+EE(55))+
8 2.0*DELINT(11)*(EE(56)-AJHO*EE(60))+DELINT(12)*EE(59)
550 CONTINUE
C
C TRANSFORM THE ELEMENT STIFFNESS MATRIX FROM FIELD SYSTEM
C TO GRID POINT DEGREES OF FREEDOM
C
C EXPAND ACURL INTO (12X12)
C
DO 610 IB = 2,12
IC = 13*IB - 25
I = IC
DO 605 J = IB,12
IC = IC + 12
I = I + 1
605 ACURL(IC) = ACURL(I)
610 CONTINUE
C
DGAM = PI
IF (AJHO .EQ. 0.) DGAM = TWOPI
DO 630 I = 1,144
ACURL(I) = ACURL(I)*DGAM
630 CONTINUE
C
IF (LSYS78) GO TO 638
DO 632 I = 145,208
632 ACURL(I) = ACURL(I)*DGAM
638 CONTINUE
C
CALL GMMATD (GB,12,12,1, ACURL, 12,12,0, D)
CALL GMMATD (D ,12,12,0, GB , 12,12,0, AK)
C
IF (LSYS78) GO TO 639
CALL GMMATD (GB,12,12,1, ACURP1,12,4,0, D1)
CALL GMMATD (D1,12,4,0, GBP,4,4,0, AKUPH)
CALL GMMATD (GBP,4,4,1, ACURP2,4,4,0, D2)
CALL GMMATD (D2,4,4,0, GBP,4,4,0, AKPH2)
639 CONTINUE
C
DO 640 I = 1,256
640 AKJ(I) = 0.
C
C COORDINATE SYSTEMS NOT POSSIBLE WITH RINGAX CODE BELOW COULD
C IMPLEMENT IT.
C ** IF FOLLOWING CODE IS IMPLEMENTED MUST BE MODIFIED FOR PIEZO-
C ELECTRIC
C
I = 0
IF (I .EQ. 0) GO TO 655
C**
C
DO 650 I = 1,4
IF (ICS(I) .EQ. 0) GOTO 650
K = 9*(I-1) + 1
CALL TRANSD (ICS(I),D(K))
650 CONTINUE
C
C SELECT THE APPROPRIATE SUB MATRIX FOR TRANSFORMATION
C
DO 690 IPP = 1,4
IR1 = 3*(IPP-1) + 1
IAPP = 9*(IPP-1) + 1
DO 680 I = 1,4
IC1 = 3*(I-1) + 1
IRC = (IR1-1)*12 + IC1
AKT(1) = AK(IRC )
AKT(2) = AK(IRC+ 1)
AKT(3) = AK(IRC+ 2)
AKT(4) = AK(IRC+12)
AKT(5) = AK(IRC+13)
AKT(6) = AK(IRC+14)
AKT(7) = AK(IRC+24)
AKT(8) = AK(IRC+25)
AKT(9) = AK(IRC+26)
C
C MORE COORDINATE SYSTEM CHANGE CODE
C TRANSFORM THE STIFFNESS SUB MATRICES AS NECESSARY
C
IAKT = 1
IF (ICS(IPP) .EQ. 0) GO TO 660
CALL GMMATD (D(IAPP), 3,3,1, AKT(1),3,3,0, AKT(10))
IAKT = 10
IF (ICS(I).EQ. 0 .AND. ICS(IPP).EQ.0) GO TO 680
GOR = G(1)
660 IF (ICS(I) .EQ.0) GO TO 670
IAI = 9*(I-1) + 1
CALL GMMATD (AKT(IAKT), 3,3,0, D(IAI), 3,3,0, AKT (IAKT+9))
IAKT = IAKT + 9
C
C REPLACE THE TRANSFORMED MATRICES IN ORIGINAL MATRIX
C
670 AK(IRC ) = AKT(IAKT )
AK(IRC+ 1) = AKT(IAKT+1)
AK(IRC+ 2) = AKT(IAKT+2)
AK(IRC+12) = AKT(IAKT+3)
AK(IRC+13) = AKT(IAKT+4)
AK(IRC+14) = AKT(IAKT+5)
AK(IRC+24) = AKT(IAKT+6)
AK(IRC+25) = AKT(IAKT+7)
AK(IRC+26) = AKT(IAKT+8)
C
680 CONTINUE
690 CONTINUE
C
C CREATE AN ARRAY POINTING TO THE GRIDS ACCORDING TO INCREASING
C SIL VALUE
655 CONTINUE
C
ASSIGN 780 TO K OR M
700 CONTINUE
DO 705 I = 1, 4
IPART(I) = IECPT(I+1)
705 CONTINUE
I = -4
710 J = 0
DO 715 KK = 1, 4
IF (IPART(KK) .LT. J) GO TO 715
J = IPART(KK)
L = KK
715 CONTINUE
IPART(L) = I
I = I + 1
IF (I .LT. 0) GO TO 710
DO 720 I = 1,4
IPART(I) = -IPART(I)
720 CONTINUE
ISORT = 1
GO TO K OR M, (780,880)
C
C REARRANGE AK INTO AKJ BY INCREASING SIL VALUE
C NOTE AKJ ALREADY INITALIZED TO ZERO
C
780 DO 770 I = 1,4
IT = IPART(I)
DO 760 J = 1,4
JT = IPART(J)
DO 750 K = 1,3
DO 740 L = 1,3
IKJ = (IT-1)*64 + (JT-1)*4 + (K-1)*16 + L
IF (MASOR .EQ. 1) IKJ = (IT-1)*36 + (JT-1)*3 + (K-1)*12 + L
IK = (I-1)*36 + (J-1) *3 +(K-1)*12 + L
AKJ(IKJ) = AK(IK)
C
IF (MASOR .EQ. 1) GO TO 740
IF (LSYS78) GO TO 740
IKJA = IKJ - L + 4
IKA = (IK-L)/3 + 1
IKJB = (JT-1)*64 + 48 + (IT-1)*4 + K
IKJC = (IT-1)*64 + 52 + (JT-1)*4
IKC = (I-1)*4 + J
AKJ(IKJA) = AKUPH(IKA)
AKJ(IKJB) = AKUPH(IKA)
AKJ(IKJC) = AKPH2(IKC)
740 CONTINUE
750 CONTINUE
760 CONTINUE
770 CONTINUE
IF (MASOR .EQ. 1) GO TO 895
C
C SET UP CONSTANTS AND OUTPUT AKJ
C
DICT(1) = ESTID
DICT(2) = 1
DICT(3) = 16
DICT(4) = 15
IP = IPREC
CALL EMGOUT (AKJ,AKJ,256,1,DICT,1,IP)
C
C COME HERE TO CALCULATE THE MASS MATRIX. THIS ROUTINE WILL
C CALCULATE EITHER THE CONSISTENT OR LUMPED MASS MATRICES
C DEPENDING ON THE PARAMETER ICM BAR
C
C IF STIFFNESS MATRIX NOT NEEDED WE HAVE ALL WE NEED FOR THE
C MASS MATRIX CALCULATIONS
C
800 IF (ISMB(2).EQ.0 .AND. .NOT. PZMAT) KSYS78 = KSAVE
IF (ISMB(2) .EQ. 0) RETURN
IF (ICMBAR .LT. 0) GO TO 820
I1 = 0
DO 810 I = 1,3
IP = I
DO 810 J = 1,3
IQ = J - 1
I1 = I1 + 1
DELINT(I1) = RZINTD(IP,IQ,R,Z,4)
810 CONTINUE
C
820 IF (ISMB(1) .NE. 0) GO TO 830
MATIDC = MATID
MATFLG = 7
IF (KSYS78 .GT. 0) MATFLG = 9
ELTEMP = TEMPE
GAMR = DGAMA*DEGRAD
COSTH = DCOS(GAMR)
SINTH = DSIN(GAMR)
CALL MAT (IDEL)
IF (KSYS78 .GT. 0) RHO = PZOUT(46)
IF (SETMAT .EQ. 2.) GO TO 7780
C
C COMPUTE THE HARMONIC COEFFICIENT
C
830 MJHO = MOD(IECPT(1),1000) - 1
AJHO = MJHO
RHOD = RHO*PI
IF (AJHO .EQ. 0.D0) RHOD = 2.*RHOD
IF (ICMBAR .LT. 0) GO TO 900
C
C COMPUTE THE CONSISTENT MASS MATRIX IN FIELD COORDINATES
C
DO 840 I = 1,12
DO 840 J = 1,12
840 BMASS(I,J) = 0.
BMASS( 1, 1) = DELINT(1)
BMASS( 1, 2) = DELINT(4)
BMASS( 1, 3) = DELINT(2)
BMASS( 1, 4) = DELINT(5)
BMASS( 2, 2) = DELINT(7)
BMASS( 2, 3) = DELINT(5)
BMASS( 2, 4) = DELINT(8)
BMASS( 3, 3) = DELINT(3)
BMASS( 3, 4) = DELINT(6)
BMASS( 4, 4) = DELINT(9)
BMASS( 5, 5) = DELINT(1)
BMASS( 5, 6) = DELINT(4)
BMASS( 5, 7) = DELINT(2)
BMASS( 5, 8) = DELINT(5)
BMASS( 6, 6) = DELINT(7)
BMASS( 6, 7) = DELINT(5)
BMASS( 6, 8) = DELINT(8)
BMASS( 7, 7) = DELINT(3)
BMASS( 7, 8) = DELINT(6)
BMASS( 8, 8) = DELINT(9)
BMASS( 9, 9) = DELINT(1)
BMASS( 9,10) = DELINT(4)
BMASS( 9,11) = DELINT(2)
BMASS( 9,12) = DELINT(5)
BMASS(10,10) = DELINT(7)
BMASS(10,11) = DELINT(5)
BMASS(10,12) = DELINT(8)
BMASS(11,11) = DELINT(3)
BMASS(11,12) = DELINT(6)
BMASS(12,12) = DELINT(9)
DO 860 IB = 2,12
IC = 13*IB - 25
I = IC
DO 850 J = IB,12
IC = IC + 12
I = I+ 1
850 BMBSS(I) = BMBSS(IC)
860 CONTINUE
DO 870 I = 1,144
870 BMBSS(I) = BMBSS(I)*RHOD
C
C TRANSFORM THE ELEMENT MASS MATRIX FROM FIELD COORDINATES TO
C GRID POINT DEGREES OF FREEDOM
C
CALL GMMATD (GB,12,12,1, BMASS,12,12,0, D)
CALL GMMATD (D ,12,12,0, GB, 12,12,0,AK)
DO 875 I = 1,256
875 AKJ(I) = 0.
IF (ISORT .EQ. 1) GO TO 880
ASSIGN 880 TO K OR M
GO TO 700
C
C REARRANGE AK INTO AKJ BY INCREASING SIL VALUE
C
880 MASOR = 1
GO TO 780
C
895 DICT(1) = ESTID
DICT(2) = 1
DICT(3) = 12
DICT(4) = 7
CWKBD SPR94002 5/94 DICT5 = 0.
IP = IPREC
C
CALL EMGOUT (AKJ,AKJ,144,1,DICT,2,IP)
GO TO 940
C
C LUMPED MASS CALCULATIONS HANDLED HERE
C
900 AR = (R(1)*(Z(2)-Z(4)) + R(2)*(Z(3)-Z(1)) + R(3)*(Z(4)-Z(2)) +
1 R(4)*(Z(1)-Z(3)))/2.
AKJ(1) = RHOD*(R(1)+R(2)+R(3)+R(4))/4.*AR
AKJ(1) = AKJ(1)/4.0D0
DO 920 I = 2,12
920 AKJ(I) = AKJ(1)
C
DICT(1) = ESTID
DICT(2) = 2
DICT(3) = 12
DICT(4) = 7
CWKBD SPR94002 5/94 DICT5 = 0.
IP = IPREC
C
CALL EMGOUT (AKJ,AKJ,12,1,DICT,2,IP)
940 IF (.NOT.PZMAT) KSYS78 = KSAVE
RETURN
C
C SET FATAL ERROR FLAG AND ALLOWING ERROR MESSAGES TO ACCUMULATE
C
7760 I = 218
GO TO 7800
7770 I = 37
GO TO 7800
C
C MAT2 NOT LEGAL
C
7780 I = 126
GO TO 7800
7790 I = 26
7800 IF (IDEL1 .EQ. IDEL2) GO TO 7810
IDEL2 = IDEL1
ICS(1) = IDEL1
ICS(2) = JAX
CALL MESAGE (30,I,ICS)
7810 NOGO = .TRUE.
GO TO 940
END
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