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SUBROUTINE READ2 (MAA,PHIA,SCR1,NORM,IA,USET,MI,LAMA,IPOUT,SCR2,
1 EPSI,SCR3)
C
C COMPUTE MODAL MASS AND NORMALIZES VECTORS ACCORDING TO POINT,
C MASS, OR MAX. ALSO LOOKS FOR LARGE OFF DIAGONAL TERM
C
INTEGER POINT,SYSBUF,PHIA,SCR1,IX(7),IPHIA(7),SCR2,
1 IHEAD(50),SCR3,STURM,NAM(2)
REAL LFREQ,CORE(13)
DOUBLE PRECISION DCORE(1),DXMAX
DIMENSION IM(7),IHEAD1(10)
COMMON /CONDAS/ CONSTS(5)
COMMON /ZZZZZZ/ ICORE(1)
COMMON /SYSTEM/ SYSBUF
COMMON /PACKX / ITA1,ITB1,II1,JJ1,INCUR1
COMMON /UNPAKX/ ITB,II,JJ,INCUR
COMMON /OUTPUT/ HEAD(1)
COMMON /STURMX/ STURM,SHFTPT,KEEP,PTSHFT,NR
COMMON /GIVN / GIVENS,TITLE1(100),LFREQ,TITLE2(4),NNV
EQUIVALENCE (CONSTS(2),TPHI), (IX(2),NCOL), (IX(3),NROW),
1 (CORE(1),ICORE(1),DCORE(1)), (DXMAX,XMAX)
DATA IHEAD1/ 21,9,8*0 /
DATA IHEAD / 21,6,7*0,7,40*0/
DATA MASS, POINT / 4HMASS,4HPOIN/
DATA MAX / 4HMAX /
DATA NAM / 4HREAD,1H2/
C
C READ2 SHOULD NORMALIZE PHIA ACCORDING TO NORM +METHOD
C
LCORE = KORSZ(CORE)
C
C DECIDE IF MI WANTED
C
IMI = 0
IX(1) = MI
CALL RDTRL (IX)
IF (IX(1) .GT. 0) GO TO 10
EPSI = 0.0
IMI = -1
IF (NORM .EQ. MASS) NORM = MAX
10 IX(1) = PHIA
CALL RDTRL (IX)
CALL MAKMCB (IPHIA,PHIA,IX(3),IX(4),IX(5))
C
C SET UP TO HANDLE IDENTITY MATRIX
C
IDEN = 0
IM(1) = MAA
CALL RDTRL (IM)
IF (IM(4) .EQ. 8) IDEN = 1
C
C FIND TYPE OF NORMALIZATION
C
IF (NORM .EQ. MASS) GO TO 310
IPONT = 1
IF (NORM .EQ. POINT) GO TO 30
IF (IA.LT.1 .OR. IA.GT.NROW) GO TO 20
C
C TYPE IS MAX
C
20 IPONT = 0
C
C POINT
C
30 ASSIGN 40 TO ICOPY
GO TO 420
C
40 CONTINUE
C
C PROCESS PHIA - NORMALIZE - COPY TO PHIA
C
LCORE = LCORE - SYSBUF
CALL GOPEN (SCR1,CORE(LCORE+1),0)
LCORE = LCORE - SYSBUF
CALL GOPEN (PHIA,CORE(LCORE+1),1)
ITB = IX(5)
JJ = NROW
II = 1
INCUR = 1
ITA1 = ITB
ITB1 = ITB
INCUR1= 1
DO 130 I = 1,NCOL
CALL UNPACK (*100,SCR1,CORE(3))
II1 = II
JJ1 = JJ
JJJ = 1
IF (ITB .EQ. 2) GO TO 66
DO 60 J = 1,NROW
IF (ABS(CORE(J+2)) .GT. ABS(CORE(JJJ+2))) JJJ = J
60 CONTINUE
JJJ = JJJ + 2
IF (IPONT .NE. 1) GO TO 62
JJJ = IA + 2
IF (ABS(CORE(JJJ)) .LE. 1.0E-15) GO TO 90
62 XMAX = CORE(JJJ)
DO 64 J = 1,NROW
CORE(J+2) = CORE(J+2)/XMAX
64 CONTINUE
GO TO 90
66 DO 68 J = 1,NROW
IF (DABS(DCORE(J+1)) .GT. DABS(DCORE(JJJ+1))) JJJ = J
68 CONTINUE
JJJ = JJJ + 1
IF (IPONT .NE. 1) GO TO 70
JJJ = IA + 1
IF (DABS(DCORE(JJJ)) .LE. 1.0D-15) GO TO 90
70 DXMAX = DCORE(JJJ)
DO 72 J = 1,NROW
DCORE(J+1) = DCORE(J+1)/DXMAX
72 CONTINUE
90 CALL PACK (CORE(3),PHIA,IPHIA)
GO TO 130
100 II1 = 1
JJ1 = 1
CALL PACK (CORE,PHIA,IPHIA)
130 CONTINUE
CALL CLOSE (PHIA,1)
CALL CLOSE (SCR1,1)
C
C COMPUTE MODAL MASS
C
140 IF (IMI .LT. 0) GO TO 170
IF (IDEN .EQ. 0) GO TO 160
ASSIGN 150 TO ICOPY
GO TO 420
150 CALL SSG2B (PHIA,SCR1,0,MI,1,ITB,1,SCR3)
GO TO 170
C
160 CALL SSG2B (MAA,PHIA,0,SCR2,0,ITB,1,SCR3)
CALL SSG2B (PHIA,SCR2,0,MI,1,ITB,1,SCR3)
C
C COMPUTE GENERALIZED STIFFNESS
C
C
C COMPUTE FREQUENCY ETC
C
170 ITB = 1
II = 1
JJ = NCOL
INCUR= 1
IMSG = 0
CALL GOPEN (LAMA,CORE(LCORE+1),0)
CALL READ (*500,*172,LAMA,CORE(1),LCORE,1,NLAMA)
GO TO 520
C
C NLAMA IS THE NUMBER OF EIGENVALUES FOUND NCOL IS TH NUMBER OF
C VECTORS
C
C
C BRING IN THE ORDER FOUND
C
172 KK = NLAMA + 2*NCOL + 8
C
C KK IS THE POINTER TO THE ORDER FOUND
C L1 AND L2 ARE COUNTERS FOR MISSING LOW FREQ. BELOW SHIFT POINTS
C STURM AND KEEP WERE SAVED IN SDCOMP, SHFTPT AND PTSHFT IN FEER
C AND INVPWR (REAL SYMMETRIC EIGENVALUE PROBLEM ONLY)
C
CALL READ (*500,*171,LAMA,ICORE(KK+1),LCORE,1,IFLAG)
GO TO 520
171 CALL CLOSE (LAMA,1)
CALL GOPEN (LAMA,CORE(LCORE+1),1)
CALL WRITE (LAMA,IHEAD(1),50,0)
CALL WRITE (LAMA,HEAD(1),96,1)
LCORE = LCORE + SYSBUF
CORE(NLAMA+6) = 0.0
CORE(NLAMA+7) = 0.0
IF (IMI .LT. 0) GO TO 180
CALL GOPEN (MI,CORE(LCORE+1),0)
L1 = STURM
L2 = KEEP
SHFTPT = SHFTPT + 1.E-10
PTSHFT = PTSHFT + 1.E-10
180 DO 210 I = 1,NLAMA
ICORE(NLAMA+1) = I
L = KK + I
ICORE(NLAMA+2) = ICORE(L)
CORE(NLAMA+3) = CORE(I)
CORE(NLAMA+4) = SQRT(ABS(CORE(I)))
CORE(NLAMA+5) = CORE(NLAMA+4)/TPHI
IF (CORE(I).GT.1.E-10 .AND. CORE(I).LE.SHFTPT) L1 = L1 - 1
IF (CORE(I).GT.1.E-10 .AND. CORE(I).LE.PTSHFT) L2 = L2 - 1
IF (IMI .LT. 0) GO TO 200
IF (I .GT. NCOL) GO TO 195
L = NLAMA + I + 7
K = L - 1 + I
CALL UNPACK (*195,MI,CORE(L))
CORE(NLAMA+6) = CORE(K)
CORE(NLAMA+7) = CORE(K)*CORE(NLAMA+3)
CORE(L) = CORE(K)
C
C ZERO OUT GENERALIZED MASS AND GENERALIZED STIFFNESS FOR THE RIGID
C BODY MODE OF ZERO FREQUENCY
C
C (G.C. 3/92
C NEXT 4 NEW LINES CAUSED DEMO T03121A TO DIE. MORE STUDY IS NEEDED)
C
C IF (CORE(I) .GE. 0.0) GO TO 200
C CORE(NLAMA+3) = 0.0
C CORE(NLAMA+4) = 0.0
C CORE(NLAMA+5) = 0.0
GO TO 200
C
C NO MORE VECTORS
C REPLACE STURM BY SMALLER OF L1 OR L2, IF NOT ALL LOWER MODES FOUND
C SET STRUM TO -1 IF THERE IS NOT ENOUGH INFORMATION,
C SET STRUM TO -999 IF DIAG 37 IS REQUESTED (NOT TO PRINT MESSAGE).
C
195 CORE(NLAMA+6) = 0.0
CORE(NLAMA+7) = 0.0
200 CALL WRITE (LAMA,CORE(NLAMA+1),7,0)
210 CONTINUE
IF (L1 .LT. 0) L1 = 0
IF (L2 .LT. 0) L2 = 0
IF (L1 .GT. L2) L1 = L2
IF (STURM.NE.-1 .AND. L1.GE.0) STURM = L1
IF (STURM.GT.NR .AND. NR.GT.0) STURM = STURM - NR
IF (KEEP.LE.0 .AND. PTSHFT.GT.0.) STURM = -1
CALL SSWTCH (37,J)
IF (J .EQ. 1) STURM = -999
CALL CLOSE (LAMA,1)
IF (IMI .LT. 0) GO TO 220
CALL CLOSE (MI,1)
220 IMSG = 0
XMAX = 0.
XMAX1 = 0.
ISTOR = 0
JSTOR = 0
C
C EPSI = 0 IMPLIES TO NOT CHECK MODAL MASS TERMS
C
IF (EPSI .EQ. 0.0) GO TO 270
CALL GOPEN (MI,CORE(LCORE+1),0)
DO 260 I = 1,NCOL
M = NLAMA + I + 7
MCOL = M + NCOL
CALL UNPACK (*540,MI,CORE(MCOL))
IF (CORE(M) .EQ. 0) GO TO 260
DO 250 J = 1,NCOL
IF (I .EQ. J) GO TO 260
K = MCOL + J - 1
MM = NLAMA + J + 7
IF (CORE(MM) .EQ. 0.0) GO TO 250
GM = ABS(CORE(K))/SQRT(ABS(CORE(M)*CORE(MM)))
IF (GM .GT. XMAX1) GO TO 240
230 CONTINUE
IF (GM .LE. EPSI) GO TO 250
IMSG = IMSG + 1
XMAX = AMAX1(XMAX,GM)
GO TO 250
240 XMAX1 = GM
ISTOR = I
JSTOR = J
GO TO 230
250 CONTINUE
260 CONTINUE
C
CALL CLOSE (MI,1)
IF (IMSG .NE. 0) CALL MESAGE (34,XMAX,EPSI)
270 IF (GIVENS .EQ. .0) GO TO 275
IF (NNV .NE. 0) GO TO 275
IF (LFREQ .GT. .0) GO TO 600
275 CALL GOPEN (IPOUT,CORE(LCORE+1),0)
CALL READ (*510,*280,IPOUT,CORE(1),LCORE,1,IFLAG)
GO TO 520
280 CALL CLOSE (IPOUT,1)
CALL GOPEN (IPOUT,CORE(LCORE+1),1)
IHEAD1(3) = ICORE(1)
CALL WRITE (IPOUT,IHEAD1,10,0)
I0 = 0
CORE (I0+ 9) = XMAX1
ICORE(I0+10) = ISTOR
ICORE(I0+11) = JSTOR
ICORE(I0+12) = IMSG
ICORE(I0+13) = STURM
CALL WRITE (IPOUT,CORE(2),40,0)
CALL WRITE (IPOUT,HEAD,96,1)
IF (ICORE(1) .NE. 1) GO TO 290
IFLAG = IFLAG - 12
IHEAD1( 3) = 3
IHEAD1(10) = 6
CALL WRITE (IPOUT,IHEAD1,50,0)
CALL WRITE (IPOUT,HEAD,96,1)
IF (IFLAG .EQ. 0) GO TO 290
CALL WRITE (IPOUT,CORE(13),IFLAG,0)
290 CALL CLOSE (IPOUT,1)
IX(1) = IPOUT
CALL WRTTRL (IX)
RETURN
C
C COMPUTE UNNORMALIZED MODAL MASS
C
310 ASSIGN 320 TO ICOPY
GO TO 420
320 IF (IDEN .EQ. 0) GO TO 330
C
C MASS MATRIX IS IDENTITY
C
CALL SSG2B (PHIA,SCR1,0,MI,1,IPHIA(5),1,SCR3)
GO TO 340
C
330 CALL SSG2B (MAA,PHIA,0,SCR2,0,IPHIA(5),1,SCR3)
CALL SSG2B (PHIA,SCR2,0,MI,1,IPHIA(5),1,SCR3)
C
C BRING IN DIAGONALS
C
340 LCORE = LCORE - SYSBUF
CALL GOPEN (MI,CORE(LCORE+1),0)
ITB = IPHIA(5)
II = 1
JJ = NCOL
IF (ITB .NE. 2) GO TO 356
DO 350 J = 1,NCOL
CALL UNPACK (*348,MI,DCORE(NCOL+1))
K = NCOL + J
DCORE(J) = 1.0D0/DSQRT(DABS(DCORE(K)))
GO TO 350
348 DCORE(J) = 0.0D0
350 CONTINUE
GO TO 362
356 DO 360 J = 1,NCOL
CALL UNPACK (*358,MI,CORE(NCOL+1))
K = NCOL + J
CORE(J) = 1.0/SQRT(ABS(CORE(K)))
GO TO 360
358 CORE(J) = 0.0
360 CONTINUE
362 CALL CLOSE (MI,1)
C
C DIVIDE EACH TERM BY SQRT (MI)
C
CALL GOPEN (SCR1,CORE(LCORE+1),0)
LCORE = LCORE - SYSBUF
CALL GOPEN (PHIA,CORE(LCORE+1),1)
II = 1
JJ = NROW
INCUR = 1
ITA1 = ITB
ITB1 = ITB
NCOL2 = ITB*NCOL
NROW2 = ITB*NROW
II1 = 1
JJ1 = NROW
INCUR1= 1
DO 410 I = 1,NCOL
CALL UNPACK (*390,SCR1,CORE(NCOL2+1))
IF (ITB .NE. 2) GO TO 368
DO 366 J = 1,NROW
K = NCOL + J
366 DCORE(K) = DCORE(K)*DCORE(I)
GO TO 380
368 DO 370 J = 1,NROW
K = NCOL+J
370 CORE(K) = CORE(K)*CORE(I)
380 CALL PACK (CORE(NCOL2+1),PHIA,IPHIA)
GO TO 410
390 DO 400 J = 1,NROW2
K = NCOL2 + J
400 CORE(K) = 0.0
GO TO 380
410 CONTINUE
CALL CLOSE (PHIA,1)
CALL CLOSE (SCR1,1)
GO TO 140
C
C COPY ROUTINE - PHIA TO SCR1
C
420 LCORE = LCORE - SYSBUF
CALL GOPEN (PHIA,CORE(LCORE+1),0)
LCORE = LCORE - SYSBUF
CALL GOPEN (SCR1,CORE(LCORE+1),1)
DCORE(1) = 0.0D+0
ITB = IX(5)
ITA1 = ITB
ITB1 = ITB
INCUR = 1
INCUR1= 1
DO 440 JJJ = 1,NCOL
II = 0
CALL UNPACK (*435,PHIA,CORE(3))
II1 = II
JJ1 = JJ
CALL PACK (CORE(3),SCR1,IPHIA)
GO TO 440
435 II1 = 1
JJ1 = 1
CALL PACK (CORE,SCR1,IPHIA)
440 CONTINUE
CALL CLOSE (PHIA,1)
CALL CLOSE (SCR1,1)
LCORE = LCORE + 2*SYSBUF
GO TO ICOPY, (40,320,150)
490 CALL MESAGE (-2,IP1,NAM)
500 IP1 = LAMA
GO TO 490
510 IP1 = IPOUT
GO TO 490
520 CALL MESAGE (-8,0,NAM)
530 CALL MESAGE (-3,LAMA,NAM)
540 CALL MESAGE (-5,MI,NAM)
C
C
ENTRY READ5 (IPOUT)
C ===================
C
C PUT OUT EIGENVALUE SUMMARY IN CASE NO EIGENVALUES FOUND
C
LCORE = KORSZ(CORE) - SYSBUF
ISTOR = 0
JSTOR = 0
IMSG = 0
XMAX1 = 0.
IX(2) = 1
DO 560 I = 3,7
IX(I) = 0
560 CONTINUE
GO TO 275
C
C REARRANGE THE EIGENVALUE TABLE, IF NECESSARY, FOR GIVENS METHOD
C
600 CALL GOPEN (LAMA,CORE(LCORE+1),0)
CALL SKPREC (LAMA,1)
NWORDS = 7*NLAMA
CALL READ (*500,*530,LAMA,CORE(1),NWORDS,1,NWRDS)
REFREQ = CORE(3)
DO 640 I = 2,NLAMA
J = 7*(I-1) + 3
IF (CORE(J) .GE. REFREQ) GO TO 640
REFREQ = CORE(J)
GO TO 660
640 CONTINUE
GO TO 740
660 CALL BCKREC (LAMA)
CALL CLOSE (LAMA,2)
CALL GOPEN (LAMA,CORE(LCORE+1),3)
DO 700 I = 1,NLAMA
IF (CORE(3) .EQ. REFREQ) GO TO 720
T2 = CORE(2)
T3 = CORE(3)
T4 = CORE(4)
T5 = CORE(5)
T6 = CORE(6)
T7 = CORE(7)
DO 680 J = 2,NLAMA
K = 7*(J-2)
CORE(K+2) = CORE(K+ 9)
CORE(K+3) = CORE(K+10)
CORE(K+4) = CORE(K+11)
CORE(K+5) = CORE(K+12)
CORE(K+6) = CORE(K+13)
CORE(K+7) = CORE(K+14)
680 CONTINUE
K = 7*(NLAMA-1)
CORE(K+2) = T2
CORE(K+3) = T3
CORE(K+4) = T4
CORE(K+5) = T5
CORE(K+6) = T6
CORE(K+7) = T7
700 CONTINUE
720 CALL WRITE (LAMA,CORE(1),NWORDS,1)
740 CALL CLOSE (LAMA,1)
GO TO 275
END
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