CC ROTOR AND WIND TUNNEL SUPPORT DYNAMICSC WAYNE JOHNSON NASA-ARC/USAAMRDLC JANUARY 1976C COMMON /WTCOEF/A2(1600),A1(1600),A0(1600),B0(560),MX,MX1,MV,MVG,DO- 1F1(40) INTEGER DOF1 COMMON /RCOEF/A2R(30,30),A1R(30,30),A0R(30,30),AA2R(30,6),AA1R(30,- 16),AA0R(30,6),BR(30,8),BGR(30,3),C2R(6,30),C1R(6,30),C0R(6,30),CA2- 2R(6,6),CA1R(6,6),CA0R(6,6),DGR(6,3) COMMON /SCOEF/CAW(6,10),A2W(10,10),A1W(10,10),A0W(10,10),BW(10,3),- 1BGW(10,3),AAW(10,6),MXS,MVS COMMON /TINPUT/TITLE(18),ASHAFT,IMOTOR,RTRANS,OPTRIM,OPSTRT,CON(11- 1),VEL,VKTS,DOF(40), OPLMDA,GUST(3),OPMOTR,OPFLOW,MPER,JCNST,DEBUG,- 2NSYSAN,NSTEP,NFREQ,ITER,CQTRIM,CTTRIM,EPTRIM,FACTOR,PLOTMX,LOCUS,R- 3ESPON,NF,DOFP(40),CONP(14),OPREAD,EDAMPC,VTIP,RPM,T75,T1C,T1S,CTLM- 4DA,OPTORS,DENSE,OPUNIT,BCTRIM,BSTRIM,CXTRIM,CYTRIM,RST(3,3),EDAMP,- 5KMAST,KICS,KPGOVR,KIGOVR,ORIENT,AYAW,ACANT,ATILT,OPGOVR,FREQ(100) REAL IMOTOR,KMAST,KICS,KPGOVR,KIGOVR INTEGER OPTRIM,OPSTRT,DOF,CON,GUST,OPMOTR,OPFLOW,DEBUG,RESPON,DOFP- 1,CONP,OPLMDA,OPREAD,OPTORS,OPUNIT,ORIENT,OPGOVR COMMON /RINPUT/HHR(667) EQUIVALENCE (RADIUS,HHR(14)),(VTIPN,HHR(79)),(NBLADE,HHR(2)),(GIMB- 1AL,HHR(11)),(NBM,HHR(9)),(NTM,HHR(10)),(OPAERO,HHR(16)),(OPMODE,HH- 2R(26)),(GAMMA,HHR(12)),(SIGMA,HHR(15)),(MU,HHR(6)),(LAMDA,HHR(7)),- 3(MUY,HHR(88)),(MUZ,HHR(89)),(KPB(1),HHR(50)),(KPG,HHR(35)),(TRC,HH- 4R(21)),(TRS,HHR(22)),(IB,HHR(32)),(OMEGA,HHR(13)),(KHLMDA,HHR(655)- 5),(KFLMDA,HHR(656)),(ROTATE,HHR(663)) REAL MU,LAMDA,MUY,MUZ,KPG,KPB(5),IB,KHLMDA,KFLMDA INTEGER GIMBAL,OPAERO,OPMODE,ROTATE NAMELIST /NLCYC/NCYCLE NAMELIST /NLWT/TITLE,VEL,VKTS,DOF,CON,GUST,OPMOTR,OPFLOW,MPER,JCNS- 1T,DEBUG,NSYSAN,NSTEP,NFREQ,FREQ,OPSTRT,ASHAFT,PLOTMX,LOCUS,RESPON,- 2NF,DOFP,CONP,IMOTOR,RTRANS,IMSTAR,OPTRIM,ITER,CQTRIM,CTTRIM,EPTRIM- 3,FACTOR,OPLMDA,EDAMP,VTIP,RPM,OPREAD,CTLMDA,OPTORS,EDAMPC,T75,T1C,- 4T1S,DENSE,OPUNIT,BCTRIM,BSTRIM,CXTRIM,CYTRIM,RST,KMAST,KICS,KPGOVR- 5,KPGOVC,KIGOVR,ORIENT,AYAW,ACANT,ATILT,OPGOVR NAMELIST /NLEQ/A2,A1,A0,B0,MX,MX1,MV,MVG,DOF0,DOF1 NAMELIST /NLR/A2R,A1R,A0R,AA2R,AA1R,AA0R,BR,BGR,C2R,C1R,C0R,CA2R,C- 1A1R,CA0R,DGR NAMELIST /NLS/ CAW,A2W,A1W,A0W,BW,BGW,AAW,MXS,MVS DIMENSION B(440),BG(120),PHI(1800),C2H(6,10),C1H(6,10),C0H(6,10) REAL IMSTAR,KPGOVC,CUNIT(2),BGH(30,3),DGH(6,3),CSSTD(2) INTEGER DOF0(40) EQUIVALENCE (B0(1),B(1)),(B0(441),BG(1)) EQUIVALENCE (BGH(1,1),B(1)),(DGH(1,1),B(91)),(C0H(1,1),B(1)),(C1H(- 11,1),B(61)),(C2H(1,1),B(121)) DATA CSSTD/1117.,340.3/ DATA CUNIT/.5924838,1.943845/ DATA CVERT/57.29578/ 999 FORMAT (1H1/1X,18A4//) 998 FORMAT (/1X,'OPERATING STATE',29X,'ROTOR ORIENTATION',23X,'ROTOR P- 1ARAMETERS'/6X,'VELOCITY (KTS) =',F8.2,20X, - 2'HELICOPTER',30X, - 3'RADIUS (FT OR M) =',F7.2/6X,'V/(OMEGA*R) =',F8.4,20X, - 4'SHAFT ANGLE (DEG) =',F7.2,14X, - 5'OMEGA (RAD/SEC) =',F7.2/6X,'TIP SPEED (FPS OR MPS) =',F7.2,13X, - 6'YAW ANGLE (DEG) =',F7.2,14X, - 7'IB (SLUG-FT2 OR KG-M2) =',F7.0/6X,'ROTATIONAL SPEED (RPM) =',F7.2- 8,53X, - 9'NUMBER OF BLADES =',I2/6X,'AIR DENSITY RATIO =',F7.4,58X,'LOCK NU- AMBER =',F7.3/6X,'OPSTRT =',I4,72X,'ROTOR SOLIDITY =',F7.4) 997 FORMAT (/1X,'OPERATING STATE',29X,'ROTOR ORIENTATION',23X,'ROTOR P- 1ARAMETERS'/6X,'VELOCITY (KTS) =',F8.2,20X, - 2'PROPELLER',31X, - 3'RADIUS (FT OR M) =',F7.2/6X,'V/(OMEGA*R) =',F8.4,20X, - 4'YAW ANGLE (DEG) =',F7.2,16X, - 5'OMEGA (RAD/SEC) =',F7.2/6X,'TIP SPEED (FPS OR MPS) =',F7.2,53X, - 7'IB (SLUG-FT2 OR KG-M2) =',F7.0/6X,'ROTATIONAL SPEED (RPM) =',F7.2- 8,53X, - 9'NUMBER OF BLADES =',I2/6X,'AIR DENSITY RATIO =',F7.4,58X,'LOCK NU- AMBER =',F7.3/6X,'OPSTRT =',I4,72X,'ROTOR SOLIDITY =',F7.4) 996 FORMAT (/1X,'OPERATING STATE',29X,'ROTOR ORIENTATION',23X,'ROTOR P- 1ARAMETERS'/6X,'VELOCITY (KTS) =',F8.2,20X, - 2'PROPROTOR',31X, - 3'RADIUS (FT OR M) =',F7.2/6X,'V/(OMEGA*R) =',F8.4,20X, - 4'TILT ANGLE (DEG) =',F7.2,13X, - 5'OMEGA (RAD/SEC) =',F7.2/6X,'TIP SPEED (FPS OR MPS) =',F7.2,13X, - 6'CRUISE ANGLE (DEG) =',F7.2,13X, - 7'IB (SLUG-FT2 OR KG-M2) =',F7.0/6X,'ROTATIONAL SPEED (RPM) =',F7.2- 8,13X,'CANT ANGLE (DEG) =',F7.2,13X, - 9'NUMBER OF BLADES =',I2/6X,'AIR DENSITY RATIO =',F7.4,58X,'LOCK NU- AMBER =',F7.3/6X,'OPSTRT =',I4,72X,'ROTOR SOLIDITY =',F7.4) 994 FORMAT (///1X,'OPTIONS'/ - 110X,'OPFLOW =',I2,10X,'IF 0, AXIAL FLOW/ LT 0, CONSTANT COEFF/ GT - 20, PERIODIC COEFF'/ - 310X,'OPMOTR =',I2,10X,'IF 0, AUTOROTATION/ IF 1, CONSTANT SPEED/ I- AF 2, MOTOR/ IF 3, POWER OUT/ LT 0, ANTISYMMETRIC'/ - 410X,'OPTORS =',I2,10X,'IF 0, DOF/ IF 1, RIGID/ IF 2, QUASISTATIC'/- 510X,'OPAERO =',I2,10X,'IF 0, ONLY CLA TERMS IN ROTOR AERODYNAMICS/- 6 LT 0, NO STALL'/ - 710X,'OPTRIM =',I2,10X,'IF 0, NO TRIM/LT 0, NO ITER/IF 1, TRIM T/IF- B 2, TRIM Q/IF 3, TRIM T AND FLAP/IF 4, TRIM L,X,Y'/ - 810X,'OPMODE =',I2,10X,'IF 0, RIGID BLADE MODES/ IF 2, READ MODES/ - 9IF 3, PUNCH MODES/ IF 4, ARTICULATED MODES'/ - C10X,'OPLMDA =',I2,10X,'IF 0, QUASISTATIC INFLOW DYNAMICS'/ - D10X,'OPGOVR =',I2,10X,'IF 0, NO GOVERNOR/ IF 1, GOVERNOR/ IF 2, IN- EPUT GAINS') 993 FORMAT (///1X,'ORDER OF VARIABLES'/10X,'DOF = B0,B1C,B1S,BNC,BNS,B- 1N/2 T0,T1C,T1S,TNC,TNS,TN/2 BGC,BGS,PSI L0,LC,LS SUPPORT'/- 210X,'CON = T0,T1C,T1S,TNC,TNS,TN/2 SUPPORT'/ - 310X,'GUST = UG,VG,WG') 992 FORMAT (///10X,'DOF =',1X,15I1,3X,9I1,3X,3I1,3X,3I1,3X,10I1/10X, '- 1CON =',1X,8I1,3X,3I1/10X,'GUST =',1X,3I1) 991 FORMAT (///1X,'COMPUTATION PARAMETERS',20X,'PSYSAN - STEPS =',I4,1- 12X,'CSYSAN - STEPS =',I4/43X,'ROOT LOCUS =',I3,17X,'FREQ RESPONSE - 2=',I3/43X,'PLOT MAX =',F7.2,15X,'NUMBER OF FREQ =',I4/43X,'DOF PLO- 3T = ',40I1) 989 FORMAT (43X,'CON AND GUST PLOT =',14I1) 988 FORMAT (1X,'ENGLISH UNITS (FT, SLUG, SEC)') 987 FORMAT (1X,'METRIC UNITS (M, KG, SEC)') 984 FORMAT (90X,'CLOCKWISE ROTATION') 985 FORMAT (90X,'COUNTER-CLOCKWISE ROTATION') 990 FORMAT (2X,'CALL PSYSAN, NT =',I4) READ (5,NLCYC) DO 1 JCYCLE=1,NCYCLE VEL=0. VKTS=0. VTIP=0. RPM=0. READ (5,NLWT) IF ((OPUNIT .NE. 1) .AND. (OPUNIT .NE. 2)) OPUNIT=1 IF ((RPM .NE. 0.) .AND. (VTIP .EQ. 0.)) VTIP=RADIUS*RPM*.1047198 IF (VTIP .EQ. 0.) VTIP=VTIPN IF (RPM .EQ. 0.) RPM=VTIP/RADIUS/.1047198 IF (VEL .EQ. 0.) VEL=VKTS/VTIP/CUNIT(OPUNIT) IF (VKTS .EQ. 0.) VKTS=VEL*VTIP*CUNIT(OPUNIT) CSOUND=CSSTD(OPUNIT) CALL RTRII(OPREAD,DEBUG,VTIP,T75,T1C,T1S,DENSE,CSOUND,OPUNIT) IF ((OPTRIM .EQ. 1) .OR. (OPTRIM .GE. 3)) CTLMDA=CTTRIM*SIGMA IF ((OPMOTR .NE. 0) .AND. (IABS(OPMOTR) .NE. 3)) GO TO 126 CQTRIM=0. IF (OPTRIM .GT. 0) OPTRIM=2 126 CONTINUE IF ((OPMOTR.EQ.1).OR.(DOF(27).EQ.0).OR.(OPMOTR.LT.0)) OPGOVR=0 DO 24 K=1,40 IF (DOF(K) .NE. 0) DOF(K)=1 IF (NBLADE .NE. 1) GO TO 125 IF ((K .GE. 6) .AND. (K .LE. 15)) DOF(K)=0 IF ((K .GE. 19) .AND. (K .LE. 40)) DOF(K)=0 GO TO 24 125 IF (NBLADE .NE. 2) GO TO 24 IF ((K .GE. 11) .AND. (K .LE. 15)) DOF(K)=0 IF ((K .GE. 22) .AND. (K .LE. 24)) DOF(K)=0 DOF(26)=0 24 CONTINUE DO 25 K=1,11 IF (CON(K) .NE. 0) CON(K)=1 IF ((K .GT. NBLADE) .AND. (K .LE. 8)) CON(K)=0 IF ((NBLADE .EQ. 1) .AND. (K .NE. 1)) CON(K)=0 25 CONTINUE DO 26 K=1,3 IF (GUST(K) .NE. 0) GUST(K)=1 IF (NBLADE .EQ. 1) GUST(K)=0 26 CONTINUE IF (OPTORS .NE. 1) GO TO 121 DO 122 K=16,24 122 DOF(K)=0 GO TO 123 121 K1=15+NBLADE DO 124 K=16,K1 124 DOF(K)=1 123 CONTINUE IF (GIMBAL .EQ. 0) DOF(25)=0 IF (GIMBAL .EQ. 0) DOF(26)=0 IF (OPMOTR .EQ. 1) DOF(27)=0 NBM=0 DO 21 K=1,5 DO 21 KB=1,NBLADE J=(K-1)*NBLADE+KB IF (J .GT. 15) GO TO 21 IF (DOF(J) .NE. 0) NBM=K 21 CONTINUE NBM=MAX0(1,NBM) NTM=0 DO 22 K=1,3 DO 22 KB=1,NBLADE J=(K-1)*NBLADE+KB IF (J .GT. 9) GO TO 22 IF (DOF(J+15) .NE. 0) NTM=K 22 CONTINUE NTM=MAX0(1,NTM) MXP=0 MVP=0 DO 161 I=1,40 IF ((I .GE. 16) .AND. (I .LE. 24) .AND. (OPTORS .EQ. 2)) GO TO 161 IF ((I .GE. 28) .AND. (I .LE. 30) .AND. (OPLMDA .EQ. 0)) GO TO 161 MXP=MXP+DOF(I) 161 CONTINUE DO 164 I=1,11 164 MVP=MVP+CON(I) DO 165 I=1,3 165 MVP=MVP+GUST(I) PRINT 999, (TITLE(I), I=1,18) IF (ORIENT .EQ. 1) PRINT 998, VKTS,RADIUS,VEL,ASHAFT,OMEGA,VTIP,AY- 1AW,IB,RPM,NBLADE,DENSE,GAMMA,OPSTRT,SIGMA IF (ORIENT .EQ. 2) PRINT 997, VKTS,RADIUS,VEL,AYAW,OMEGA,VTIP,IB,R- 1PM,NBLADE,DENSE,GAMMA,OPSTRT,SIGMA IF (ORIENT .EQ. 3) PRINT 996, VKTS,RADIUS,VEL,ATILT,OMEGA,VTIP,ASH- 1AFT,IB,RPM,ACANT,NBLADE,DENSE,GAMMA,OPSTRT,SIGMA IF (ROTATE .EQ. 1) PRINT 985 IF (ROTATE .EQ. -1) PRINT 984 PRINT 994, OPFLOW,OPMOTR,OPTORS,OPAERO,OPTRIM,OPMODE,OPLMDA,OPGOVR PRINT 993 PRINT 992, (DOF(I), I=1,40),(CON(I), I=1,11),(GUST(I), I=1,3) PRINT 991, MPER,JCNST,LOCUS,RESPON,PLOTMX,NF,(DOFP(I),I=1,MXP) PRINT 989, (CONP(I), I=1,MVP) IF (OPUNIT .EQ. 1) PRINT 988 IF (OPUNIT .EQ. 2) PRINT 987 CALL MODE CALL WTTRIM PERIOD=6.283185/FLOAT(NBLADE) IF (NBLADE/2*2 .EQ. NBLADE) PERIOD=2.*PERIOD DT=PERIOD/FLOAT(MPER) MT=0 IF (OPFLOW .GT. 0) MT=MPER MT1=MT+1 NBLD=NBLADE IF (OPFLOW .LT. 0) NBLD=JCNST DO 2 JT=1,MT1 NT=JT-1 PSI=FLOAT(NT)*DT IF ((NBLADE.GE.3).AND.(OPFLOW.EQ.0)) CALL ROTOR0 IF ((NBLADE.GE.3).AND.(OPFLOW.NE.0)) CALL ROTOR(OPFLOW,PSI,NBLD) IF (NBLADE .EQ. 2) CALL ROTOR2(OPFLOW,PSI,NBLD) IF (NBLADE .EQ. 1) CALL ROTOR1(OPFLOW,PSI,NBLD) one bladed rotor IF (OPFLOW .GT. 0) GO TO 235 DO 230 I=1,3 DO 232 J=1,30 BGH(J,I)=0. DO 232 K=1,3 232 BGH(J,I)=BGH(J,I)+BGR(J,K)*RST(K,I) DO 231 J=1,6 DGH(J,I)=0. DO 231 K=1,3 231 DGH(J,I)=DGH(J,I)+DGR(J,K)*RST(K,I) 230 CONTINUE DO 233 I=1,3 DO 234 J=1,30 234 BGR(J,I)=BGH(J,I) DO 233 J=1,6 233 DGR(J,I)=DGH(J,I) 235 IF ((OPMOTR .EQ. 0) .OR. (OPMOTR .EQ. 1)) GO TO 236 IMSTAR=IMOTOR/(FLOAT(NBLADE)*IB)*RTRANS**2 IF (OPMOTR .LT. 0) GO TO 237 A2R(27,27)=A2R(27,27)+IMSTAR A1R(27,27)=A1R(27,27)+EDAMP GO TO 236 237 CNST1=1.+KICS/KMAST A2R(27,27)=A2R(27,27)+IMSTAR/CNST1 A1R(27,27)=A1R(27,27)+EDAMP/CNST1 A0R(27,27)=A0R(27,27)+KICS/(FLOAT(NBLADE)*IB*OMEGA**2*CNST1) 236 CNST1=GAMMA/(SIGMA*5.7)*DENSE A2R(28,28)=A2R(28,28)+.85*CNST1 A2R(29,29)=A2R(29,29)+.22*CNST1 A2R(30,30)=A2R(30,30)+.22*CNST1 CNST2=SQRT((MU**2+MUY**2)/KFLMDA**2+LAMDA**2/KHLMDA**4) A1R(28,28)=A1R(28,28)+2.*CNST1*(CNST2+(LAMDA-MUZ)*LAMDA/KHLMDA**4/- 1CNST2) A1R(29,29)=A1R(29,29)+CNST1*CNST2 A1R(30,30)=A1R(30,30)+CNST1*CNST2 CALL STRUT(OPSTRT) DO 31 I=1,30 DO 31 K=1,30 JA=(I-1)*40+K A2(JA)=A2R(K,I) A1(JA)=A1R(K,I) 31 A0(JA)=A0R(K,I) IF (NBLADE .EQ. 1) GO TO 130 DO 32 I=1,MXS DO 32 K=1,30 JA=(I+29)*40+K A2(JA)=0. A1(JA)=0. A0(JA)=0. DO 32 J=1,6 A2(JA)=A2(JA)+AA2R(K,J)*CAW(J,I) A1(JA)=A1(JA)+AA1R(K,J)*CAW(J,I) 32 A0(JA)=A0(JA)+AA0R(K,J)*CAW(J,I) DO 33 I=1,30 DO 33 K=1,MXS JA=(I-1)*40+K+30 A2(JA)=0. A1(JA)=0. A0(JA)=0. DO 33 J=1,6 A2(JA)=A2(JA)-AAW(K,J)*C2R(J,I) A1(JA)=A1(JA)-AAW(K,J)*C1R(J,I) 33 A0(JA)=A0(JA)-AAW(K,J)*C0R(J,I) DO 34 I=1,MXS DO 34 K=1,6 C2H(K,I)=0. C1H(K,I)=0. C0H(K,I)=0. DO 34 J=1,6 C2H(K,I)=C2H(K,I)+CA2R(K,J)*CAW(J,I) C1H(K,I)=C1H(K,I)+CA1R(K,J)*CAW(J,I) 34 C0H(K,I)=C0H(K,I)+CA0R(K,J)*CAW(J,I) DO 35 I=1,MXS DO 35 K=1,MXS JA=(I+29)*40+K+30 A2(JA)=A2W(K,I) A1(JA)=A1W(K,I) A0(JA)=A0W(K,I) DO 35 J=1,6 A2(JA)=A2(JA)-AAW(K,J)*C2H(J,I) A1(JA)=A1(JA)-AAW(K,J)*C1H(J,I) 35 A0(JA)=A0(JA)-AAW(K,J)*C0H(J,I) 130 IF (OPFLOW .GT. 0) GO TO 30 DO 137 I=1,8 DO 136 K=1,30 JB=(I-1)*40+K 136 B(JB)=BR(K,I) DO 137 K=1,MXS JB=(I-1)*40+K+30 137 B(JB)=0. IF (NBLADE .EQ. 1) GO TO 30 DO 39 I=1,MVS DO 38 K=1,30 JB=320+(I-1)*40+K 38 B(JB)=0. DO 39 K=1,MXS JB=350+(I-1)*40+K 39 B(JB)=BW(K,I) DO 37 I=1,3 DO 36 K=1,30 JB=(I-1)*40+K 36 BG(JB)=BGR(K,I) DO 37 K=1,MXS JB=(I-1)*40+K+30 BG(JB)=BGW(K,I) DO 37 J=1,6 37 BG(JB)=BG(JB)+AAW(K,J)*DGR(J,I) 30 CONTINUE IF (OPTORS .EQ. 0) GO TO 40 IF (OPTORS .EQ. 2) GO TO 41 JN=40*NBLADE DO 42 J=1,JN 42 B(J)=-A0(J+600) DO 141 I=1,NBM DO 141 J=1,JN JA=(I-1)*JN+J IF (JA .GT. 600) GO TO 141 A0(JA)=A0(JA)-KPB(I)*A0(J+600) 141 CONTINUE IF (GIMBAL .EQ. 0) GO TO 142 JN=80 IF (NBLADE .EQ. 2) JN=40 DO 43 J=1,JN 43 A0(J+960)=A0(J+960)-KPG*A0(J+640) 142 IF (OPFLOW .EQ. 0) GO TO 143 IF (NBLADE .EQ. 2) GO TO 144 DO 145 J=1,40 145 A0(J+1040)=A0(J+1040)+TRS*A0(J+640)-TRC*A0(J+680) GO TO 143 144 TCYC=-TRC*SIN(PSI)+TRS*COS(PSI) DO 146 J=1,40 146 A0(J+1040)=A0(J+1040)+TCYC*A0(J+640) 143 GO TO 40 41 DO 44 I=1,40 DO 44 J=1,9 JA=(I-1)*40+J+15 A2(JA)=0. IF ((I .GE. 28) .AND. (I .LE. 30)) GO TO 44 A1(JA)=0. 44 CONTINUE 40 IF (OPGOVR .EQ. 0) GO TO 50 KPGOVC=KPGOVR*OMEGA IF (OPGOVR .NE. 2) KPGOVC=KPGOVC*AMAX1(0.,AMIN1(1.,ATILT/90.)) DO 51 I=1,40 A0(I+1040)=A0(I+1040)-KIGOVR*B(I) 51 A1(I+1040)=A1(I+1040)-KPGOVC*B(I) 50 MX=0 MX1=0 MX0=0 MV=0 MVG=0 DO 61 I=1,40 MX=MX+DOF(I) DOF1(I)=1 61 DOF0(I)=1 IF ((OPFLOW.NE.0).OR.(OPMOTR.LT.0).OR.(OPGOVR.NE.0)) GO TO 67 DOF1(27)=0 IF (DOF(27) .NE. 0) MX1=1 67 DO 66 I=28,30 DOF1(I)=0 IF (DOF(I) .EQ. 0) GO TO 66 MX1=MX1+1 IF (OPLMDA .NE. 0) GO TO 66 DOF0(I)=0 MX0=MX0+1 66 CONTINUE IF (OPTORS .NE. 2) GO TO 62 DO 63 I=16,24 IF (DOF(I) .EQ. 0) GO TO 63 DOF0(I)=0 MX0=MX0+1 63 CONTINUE 62 DO 64 I=1,11 64 MV=MV+CON(I) DO 65 I=1,3 65 MVG=MVG+GUST(I) CALL DERED(40,11,3,DOF,CON,GUST,A2,A1,A0,B,BG,DOF1,DOF0) MVX=MX*MV MVGX=MX*MVG DO 81 I=1,MVGX I1=I+MVX 81 B0(I1)=BG(I) MV=MV+MVG 80 CONTINUE IF ((OPLMDA .EQ. 0) .OR. (OPTORS .EQ. 2)) CALL QSTRAN(MX,MX0,MX1,M- 1V,A2,A1,A0,B0,DOF1,DOF0) IF (DEBUG .EQ. 0) GO TO 83 MXSQ1=MX*MX+1 IF (MXSQ1 .GT. 1600) GO TO 84 DO 85 I=MXSQ1,1600 A2(I)=0. A1(I)=0. 85 A0(I)=0. 84 MVX1=MX*MV+1 IF (MVX1 .GT. 560) GO TO 83 DO 86 I=MVX1,560 86 B0(I)=0. 83 CONTINUE IF (DEBUG .GE. 2) WRITE(6,NLWT) IF (DEBUG .EQ. 3) WRITE(6,NLR) IF (DEBUG .EQ. 3) WRITE(6,NLS) IF ((DEBUG .EQ. 1) .OR. (DEBUG .EQ. 3)) WRITE(6,NLEQ) IF (OPFLOW .GT. 0) GO TO 3 CALL CSYSAN(NSYSAN,MX,MX1,MV,A2,A1,A0,B0,NFREQ,FREQ,NSTEP,DOF1,OME- 1GA) IF (LOCUS .GT. 0) CALL RPLOT(MX,MX1,JCYCLE,PLOTMX,LOCUS) IF ((RESPON .GT. 0) .AND. (LOCUS .LE. 0)) CALL TRANS(B0,MX,MX1,MV,- 1RESPON,NF,DOFP,CONP) GO TO 2 3 NSYSAN=0 PRINT 990, NT CALL PSYSAN(NSYSAN,MX,MX1,A2,A1,A0,PHI,DT,NT,MT,PERIOD,MT,DOF1) 2 CONTINUE 1 CONTINUE IF ((LOCUS .GT. 0) .OR. (RESPON .GT. 0)) CALL ENPLT(10.,0.) STOP END

SUBROUTINE WTTRIM COMMON /TINPUT/HHT(285) EQUIVALENCE (ASHAFT,HHT(19)),(OPTRIM,HHT(22)),(VEL,HHT(35)),(OPFLO- 1W,HHT(82)),(ITER,HHT(89)),(CQTRIM,HHT(90)),(CTTRIM,HHT(91)),(EPTRI- 2M,HHT(92)),(FACTOR,HHT(93)),(CTLMDA,HHT(159)),(OPMOTR,HHT(81)),(ED- 3AMP,HHT(176)),(EDAMPC,HHT(153)),(DENSE,HHT(161)),(BCTRIM,HHT(163))- 4,(BSTRIM,HHT(164)),(CXTRIM,HHT(165)),(CYTRIM,HHT(166)),(RST(1,1),H- 5HT(167)),(ORIENT,HHT(181)),(AYAW,HHT(182)),(ACANT,HHT(183)),(ATILT- 6,HHT(184)) INTEGER OPTRIM,OPFLOW,OPMOTR,ORIENT REAL RST(3,3) COMMON /RINPUT/HHR(667) EQUIVALENCE (THETA(1),HHR(294)),(T1C,HHR(21)),(T1S,HHR(22)),(LAMDA- 1,HHR(7)),(MU,HHR(6)),(MUY,HHR(88)),(MUZ,HHR(89)),(MTIP,HHR(8)),(SI- 2GMA,HHR(15)),(NTRIM0,HHR(4)),(NTRIM1,HHR(5)),(GAMMA,HHR(12)),(VTOT- 3,HHR(654)),(KHLMDA,HHR(655)),(KFLMDA,HHR(656)),(ALFHP,HHR(657)),(P- 4SIHP,HHR(658)),(IRING,HHR(662)),(ROTATE,HHR(663)) INTEGER ROTATE REAL MU,MUY,MUZ,LAMDA,MTIP,THETA(51),KHLMDA,KFLMDA COMMON /MODES/ETA(5,2,51),ETAP(5,2,51),ETAPP(5,2,51),NU(5),ZETA(3,- 151),ZETAP(3,51),WT(3),EFA(5,2),EFAP(5,2),EFAPP(5,2) REAL NU COMMON /ZTRIM/B0(5),B1C(5),B1S(5),B2C(5),B2S(5),BGC,BGS,CT,CH,CY,C- 1MX,CMY,CQ,HHHT(2342) INTEGER LMINV(4),MMINV(4) REAL DERIV(9),ZERO(2375) EQUIVALENCE (ZERO(1),B0(1)) DATA CVERT/57.29578/ 999 FORMAT (1H1,'PERFORMANCE AND TRIM'/) 998 FORMAT (////5X,'NO TRIM') 997 FORMAT (5X,'NO FORCE TRIM') 996 FORMAT (5X,'TARGET CT/S =',F10.6) 995 FORMAT (5X,'TARGET CQ/S =',F10.6) 994 FORMAT (5X,'TARGETS',5X,'CT/S =',F10.6,10X,'B1C =',F6.2,' DEG',10X- 1,'B1S =',F6.2,' DEG') 993 FORMAT (5X,'TARGETS',5X,'CL/S =',F10.6,10X,'CX/S =',F10.6,10X,'CY/- 1S =',F10.6) 990 FORMAT (5X,'FORCE TRIM ITERATIONS =',I4,7X,'(MAXIMUM =',I4,', TOL- 1ERANCE =',F7.4,')') DO 10 J=1,33 10 ZERO(J)=0. GO TO (21,22,23),ORIENT 21 COST=COS(ASHAFT/CVERT) SINT=SIN(ASHAFT/CVERT) COSP=COS(AYAW/CVERT) SINP=SIN(AYAW/CVERT) RST(1,1)=COST*COSP RST(2,1)=SINP RST(3,1)=SINT*COSP RST(1,2)=-COST*SINP RST(2,2)=COSP RST(3,2)=-SINT*SINP RST(1,3)=-SINT RST(2,3)=0. RST(3,3)=COST GO TO 24 22 COSP=COS(AYAW/CVERT) SINP=SIN(AYAW/CVERT) RST(1,1)=-SINP RST(2,1)=0. RST(3,1)=-COSP RST(1,2)=-COSP RST(2,2)=0. RST(3,2)=SINP RST(1,3)=0. RST(2,3)=1. RST(3,3)=0. GO TO 24 23 COSA=COS(ATILT/CVERT) SINA=SIN(ATILT/CVERT) COST=COS(ASHAFT/CVERT) SINT=SIN(ASHAFT/CVERT) COSP=COS(ACANT/CVERT) SINP=SIN(ACANT/CVERT) RST(3,3)=(COSP**2*COSA+SINP**2)*SINT+COSP*SINA*COST RST(3,2)=-SINP*COSP*(1.-COSA) RST(3,1)=-(COSP**2*COSA+SINP**2)*COST+COSP*SINA*SINT RST(2,3)=-SINP*COSP*(1.-COSA)*SINT+SINP*SINA*COST RST(2,2)=COSP**2+SINP**2*COSA RST(2,1)=SINP*COSP*(1.-COSA)*COST+SINP*SINA*SINT RST(1,3)=-SINA*COSP*SINT+COSA*COST RST(1,2)=-SINA*SINP RST(1,1)=SINA*COSP*COST+COSA*SINT 24 CSII=RST(1,1) CSJI=RST(2,1) CSKI=RST(3,1) VTOT=0. MU=0. MUY=0. IF (OPFLOW .EQ. 0) GO TO 27 MU=VEL*CSII MUY=-VEL*CSJI*FLOAT(ROTATE) VTOT=MU*MU+MUY*MUY IF (VTOT .GT. 0.) VTOT=SQRT(VTOT) 27 MUZ=-VEL*CSKI PSIHP=0. ALFHP=0. IF ((CSJI.NE.0.).OR.(CSII.NE.0.)) PSIHP=ATAN2(-CSJI,CSII)*CVERT CSII=CSII**2+CSJI**2 IF (CSII .GT. 0.) CSII=SQRT(CSII) IF ((CSKI.NE.0.).OR.(CSII.NE.0.)) ALFHP=ATAN2(-CSKI,CSII)*CVERT ITERM=MAX0(1,ITER) IF (OPTRIM .GE. 3) ITERM=ITERM+4 ITERC=0 5 ITERC=ITERC+1 U2=(MU*MU+MUY*MUY)/KFLMDA**2 X1=.5*CTLMDA IF ((OPTRIM.NE.1).AND.(OPTRIM.LE.2).AND.(ITERC.GT.1)) X1=.5*CT*SIG- 1MA X2=KHLMDA**4 LAMDA=MUZ+X1/SQRT(ABS(X1/X2+VEL*VEL)) DO 25 I=1,4 X3=(SQRT(LAMDA*LAMDA/X2+U2))**3 25 LAMDA=(X3*MUZ+X1*(2.*LAMDA*LAMDA/X2+U2))/(X3+X1*LAMDA/X2) IRING=0 IF (X1 .NE. 0.) X1=SQRT(ABS(X1)) IF (MU*MU+MUY*MUY+(2.*MUZ+3.*X1)**2 .GE. X1*X1) GO TO 26 IRING=1 LAMDA=MUZ*((.373*MUZ*MUZ+.598*(MU*MU+MUY*MUY))/(X1*X1)-1.991)*KHLM- 1DA+MUZ 26 CTOS=1.0526*CTLMDA/SIGMA U=SQRT(1.+LAMDA*LAMDA) TTH=.95*(U**3-LAMDA**3)/FACTOR QTH=LAMDA*TTH CALL RTRIM(ITERC,CTOS) IF ((OPTRIM .LE. 0) .OR. (ITERC .GE. ITERM)) GO TO 6 IF (OPTRIM .EQ. 1) GO TO 41 IF (OPTRIM .EQ. 2) GO TO 42 IF (OPTRIM .EQ. 3) GO TO 43 IF (OPTRIM .EQ. 4) GO TO 44 41 IF (ABS((CT-CTTRIM)/CTTRIM) .LT. EPTRIM) GO TO 6 DELT=(CTTRIM-CT)/TTH DO 48 JR=1,51 48 THETA(JR)=THETA(JR)+DELT GO TO 5 42 IF (ABS((CQ-CQTRIM)/AMAX1(ABS(LAMDA*CT),.001)).LT. EPTRIM) GO TO 6 DELT=(CQTRIM-CQ)/QTH DO 45 JR=1,51 45 THETA(JR)=THETA(JR)+DELT GO TO 5 43 CLIFT=CT SLOPC=BGC SLOPS=BGS DO 140 JE=NTRIM0,NTRIM1 SLOPC=SLOPC+B1C(JE)*ETA(JE,1,51) 140 SLOPS=SLOPS+B1S(JE)*ETA(JE,1,51) GO TO (141,142,143,144),ITERC SLOPC=SLOPC-BCTRIM/CVERT SLOPS=SLOPS-BSTRIM/CVERT IF ((ABS((CT-CTTRIM)/CTTRIM) .LT. EPTRIM) .AND. (ABS(SLOPC) .LT. E- 1PTRIM) .AND. (ABS(SLOPS) .LT. EPTRIM)) GO TO 6 DELT=DERIV(1)*(CTTRIM-CT)-DERIV(4)*SLOPC-DERIV(7)*SLOPS T1C=T1C+DERIV(2)*(CTTRIM-CT)-DERIV(5)*SLOPC-DERIV(8)*SLOPS T1S=T1S+DERIV(3)*(CTTRIM-CT)-DERIV(6)*SLOPC-DERIV(9)*SLOPS DO 47 JR=1,51 47 THETA(JR)=THETA(JR)+DELT GO TO 5 44 SLOPC=0. IF (VEL .NE. 0.) SLOPC=(-MU*CH+MUY*CY+MUZ*CT)/VEL CLIFT=ABS(CT*CT+CH*CH+CY*CY-SLOPC*SLOPC) IF (CLIFT .NE. 0.) CLIFT=SQRT(CLIFT) SLOPS=CY GO TO (141,142,143,144),ITERC SLOPC=SLOPC-CXTRIM SLOPS=SLOPS-CYTRIM IF (((CLIFT-CTTRIM)**2+SLOPC**2+SLOPS**2)/CTTRIM**2 .LT. EPTRIM**2- 1) GO TO 6 DELT=DERIV(1)*(CTTRIM-CLIFT)-DERIV(4)*SLOPC-DERIV(7)*SLOPS T1C=T1C+DERIV(2)*(CTTRIM-CLIFT)-DERIV(5)*SLOPC-DERIV(8)*SLOPS T1S=T1S+DERIV(3)*(CTTRIM-CLIFT)-DERIV(6)*SLOPC-DERIV(9)*SLOPS DO 149 JR=1,51 149 THETA(JR)=THETA(JR)+DELT GO TO 5 141 DO 145 I=1,3 DERIV(3*I-2)=CLIFT DERIV(3*I-1)=SLOPC 145 DERIV(3*I)=SLOPS DO 146 JR=1,51 146 THETA(JR)=THETA(JR)-.02*FACTOR GO TO 5 142 DERIV(1)=DERIV(1)-CLIFT DERIV(2)=DERIV(2)-SLOPC DERIV(3)=DERIV(3)-SLOPS DO 147 JR=1,51 147 THETA(JR)=THETA(JR)+.02*FACTOR T1C=T1C-.02*FACTOR GO TO 5 143 DERIV(4)=DERIV(4)-CLIFT DERIV(5)=DERIV(5)-SLOPC DERIV(6)=DERIV(6)-SLOPS T1C=T1S+.02*FACTOR T1S=T1S-.02*FACTOR GO TO 5 144 DERIV(7)=DERIV(7)-CLIFT DERIV(8)=DERIV(8)-SLOPC DERIV(9)=DERIV(9)-SLOPS T1S=T1S+.02*FACTOR DO 148 I=1,9 148 DERIV(I)=DERIV(I)/(.02*FACTOR**2) CALL MINV(DERIV,3,DEN,LMINV,MMINV) GO TO 5 6 PRINT 999 IF (OPTRIM)61,62,63 62 PRINT 998 GO TO 65 61 PRINT 997 GO TO 64 63 PRINT 990, ITERC,ITERM,EPTRIM GO TO (161,162,163,164),OPTRIM 161 PRINT 996, CTTRIM GO TO 64 162 PRINT 995, CQTRIM GO TO 64 163 PRINT 994, CTTRIM,BCTRIM,BSTRIM GO TO 64 164 PRINT 993, CTTRIM,CXTRIM,CYTRIM 64 CALL RTRIMP 65 CONTINUE EDAMP=0. IF (OPTRIM .NE. 0) EDAMP=EDAMPC*GAMMA*DENSE*CQ*FLOAT(ROTATE)/5.7 IF (IABS(OPMOTR) .EQ. 3) EDAMP=0. RETURN END

SUBROUTINE STRUT(OPSTRT) INTEGER OPSTRT IF (OPSTRT .EQ. 1) CALL WING IF (OPSTRT .EQ. 2) CALL GROUND IF (OPSTRT/100 .EQ. 1) CALL RTA RETURN END

SUBROUTINE GROUNDCC GROUND RESONANCE OR TUNNEL SUPPORT --- OPSTRT = 2C COMMON /RINPUT/HHR(667) EQUIVALENCE (RADIUS,HHR(14)),(NBLADE,HHR(2)),(IB,HHR(32)),(OMEGA,H- 1HR(13)) REAL IB COMMON /TINPUT/HHT(285) EQUIVALENCE (OPUNIT,HHT(162)) INTEGER OPUNIT COMMON /SCOEF/CA(6,10),A2(10,10),A1(10,10),A0(10,10),B(10,3),BG(10- 1,3),AA(10,6),MXS,MVS REAL M(10),C(10),W(10),ZERO(480) REAL WUNIT(2) INTEGER DIRECT(10),COUNT NAMELIST /NLGRND/M,C,W,DIRECT,MXS EQUIVALENCE (ZERO(1),CA(1,1)) DATA COUNT/0/ DATA WUNIT/32.17,1./ DO 1 J=1,480 1 ZERO(J)=0. COUNT=COUNT+1 IF (COUNT .EQ. 1) READ(5,NLGRND) CNST=RADIUS*RADIUS*2./(FLOAT(NBLADE)*IB) DO 2 J=1,MXS A2(J,J)=M(J)*CNST/WUNIT(OPUNIT) A1(J,J)=C(J)*CNST/OMEGA A0(J,J)=A2(J,J)*(6.283185*W(J)/OMEGA)**2 IF (DIRECT(J) .LT. 0) GO TO 3 CA(1,J)=1. AA(J,2)=1. GO TO 2 3 CA(2,J)=1. AA(J,3)=-1. 2 CONTINUE MVS=0 RETURN END

SUBROUTINE WINGCC PROPROTOR DYNAMIC TEST STAND --- OPSTRT = 1C COMMON /RINPUT/HHR(667) EQUIVALENCE (RADIUS,HHR(14)),(OMEGA,HHR(13)),(NBLADE,HHR(2)),(IB,H- 1HR(32)),(GAMMA,HHR(12)),(SIGMA,HHR(15)) REAL IB COMMON /TINPUT/HHT(285) EQUIVALENCE (OPREAD,HHT(152)),(ATILT,HHT(184)),(VEL,HHT(35)),(DENS- 1E,HHT(161)) INTEGER OPREAD NAMELIST /NLWNG/DELW1,DELW2,DELW3,YTW,HMAST,HEA, IQW,MPYLON,IPX,- 1IPY,SW,CPWQW,CQW1,CQW2,CPW,KQW1,KQW2,KPW,OPWING,ARW,TAUW,CLMAXW,CD- 2MINW,XAW,CMACW,CW,CFLAP,YFLAPO,YFLAPI,CDFLAP,ETAWP,ZEA,IPW REAL IQW, IPX,IPY,IPW,KQW1,KQW2,KPW,MPYLON INTEGER OPWING COMMON /WAERO/CQ1DQ1,CQ1DQ2,CQ1DP,CQ1Q1,CQ1Q2,CQ1P,CQ1U,CQ1V,CQ1W,- 1CQ1D,CQ2DQ1,CQ2DQ2,CQ2DP,CQ2Q1,CQ2Q2,CQ2P,CQ2U,CQ2V,CQ2W,CQ2D,CPDQ- 21,CPDQ2,CPDP,CPQ1,CPQ2,CPP,CPU,CPV,CPA,CPD COMMON /SCOEF/CA(6,10),A2(10,10),A1(10,10),A0(10,10),B(10,3),BG(10- 1,3),AA(10,6),MXS,MVS REAL NIR DIMENSION ZERO(30) EQUIVALENCE (ZERO(1),CQ1DQ1) DATA ETAWP,CPWQW/1.74,.6666667/ DATA ARW,TAUW,CLMAXW,CDMINW,XAW,CMACW, CFLAP,YFLAPO,YFLAPI,CDFLA- 1P/6.6,.135,1.,.0075,-.01,-.005, .3,1.,.5,.03/ DATA CVERT/57.29578/ RR=12.5/RADIUS NIR=315./(IB*FLOAT(NBLADE)) OR=48./OMEGA OR2=OR*OR CQW1=.88*OR*NIR CQW2=2.67*OR*NIR CPW=.093*OR*NIR KQW1=18.72*OR2*NIR KQW2=50.7*OR2*NIR KPW=3.595*OR2*NIR YTW=1.333*RR HMAST=.261*RR HEA=.342*RR ZEA=0.*RR CW=.413*RR IQW=4.03*NIR IPW=.0141*NIR IPX=1.086*NIR IPY=1.206*NIR MPYLON=76.9*NIR SW=2.88*NIR DELW1=0. DELW2=0. DELW3=-6.5 OPWING=1 MXS=3 MVS=1 IF (OPREAD .GE. 2) READ(5,NLWNG) SN=SIN((ATILT-DELW2)/CVERT) CS=COS((ATILT-DELW2)/CVERT) E=ETAWP D1=DELW1/CVERT D2=DELW2/CVERT D3=DELW3/CVERT DO 2 J=1,30 2 ZERO(J)=0. IF (OPWING .EQ. 0) GO TO 3 CLA=6.283185*ARW/(3.+ARW/(.95*(1.+.75*TAUW))) CL=CLA*D2 CD=CDMINW+CL*CL/(2.7*ARW) IF (CL .LE. CLMAXW) GO TO 1 CL=CLMAXW CD=2.*SIN(D2)**2 CLA=0. 1 CDA=.75*CL*CLA/ARW C1=1.-2.*CFLAP C2=SQRT(1.-C1*C1) C3=(.95+.05*CFLAP)*(1.+(1.-CFLAP)*.5/ARW)/3.141593 CLF=(C2+ARCOS(C1))*C3 CMF=-.25*(1.+C1)*C2*C3 G=GAMMA/(3.141593*5.7*SIGMA)*VEL*DENSE D12=G*CW*YTW*YTW D13=G*CW*YTW**3 D21=G*CW*CW*YTW D31=G*CW**3*YTW D22=G*(CW*YTW)**2 D=DELW2/CVERT CQ1U=D12*CL*.6666667 CQ1W=D12*CLA*.3333333 CQ1V=D1*CQ1W+D3*CQ1U CQ1DQ1=-D13*CLA*.2 CQ1DQ2=-D13*CL*.2 CQ1Q1=-D12*VEL*D3*CLA*.5 CQ1Q2=-D12*VEL*D3*CL*.5 CQ1DP=D22*(.75+XAW)*CLA*.125 CQ1P=D12*VEL*CLA*.25 CQ1D=D12*VEL*CLA*CLF*.3333333*(YFLAPO**3-YFLAPI**3) CQ2U=D12*(CD-D*CL)*.6666667 CQ2W=D12*(CDA-2.*CL)*.3333333 CQ2V=D1*CQ2W+D3*CQ2U CQ2DQ1=-D13*(CDA-2.*CL)*.2 CQ2DQ2=-D13*(2.*CD-D*CDA)*.2 CQ2Q1=-D12*VEL*D3*(CDA-2.*CL)*.5 CQ2Q2=-D12*VEL*D3*(2.*CD-D*CDA)*.5 CQ2DP=D22*((.5+XAW)*(CDA-2.*CL)-.25*CL)*.125 CQ2P=D12*VEL*(CDA-CL)*.25 CQ2D=D12*VEL*(CDFLAP+(CDA-CL)*CLF)*.3333333*(YFLAPO**3-YFLAPI**3) CPU=D21*CMACW CPA=-D21*XAW*CLA*.5 CPV=D1*CPA+D3*CPU CPDQ1=D22*XAW*CLA*.25 CPDQ2=-D22*CMACW*.5 CPQ1=D12*VEL*CMACW/12. CPQ2=-D12*VEL*CL/12. CPDP=-D31*(.25+.5*XAW)*CLA*.1666667 CPP=-D21*VEL*XAW*CLA*.3333333 CPD=-D21*VEL*(XAW*CLF-CMF)*CLA*.5*(YFLAPO**2-YFLAPI**2) 3 CONTINUE CA(1,1)=YTW*CS-HMAST*E*D3 CA(1,2)=YTW*SN+HMAST*E*D1 CA(1,3)=HMAST+CS*(HEA-HMAST)-ZEA*SN CA(2,1)=-HMAST*E*SN-YTW*D1 CA(2,2)=HMAST*E*CS-YTW*D3 CA(2,3)=-HMAST*(D1*CS+D3*SN) CA(3,1)=YTW*SN CA(3,2)=-YTW*CS CA(3,3)=(HEA-HMAST)*SN+ZEA*CS CA(4,1)=E*SN CA(4,2)=-E*CS CA(4,3)=D1*CS+D3*SN CA(5,1)=-E*D3 CA(5,2)=E*D1 CA(5,3)=1. CA(6,1)=-E*CS CA(6,2)=-E*SN CA(6,3)=D1*SN-D3*CS A2(1,1)=IQW+MPYLON A2(1,2)=0. A2(1,3)=SW A2(2,1)=0. A2(2,2)=IQW+IPX*E*E+MPYLON A2(2,3)=-SW*D2 A2(3,1)=SW A2(3,2)=-SW*D2 A2(3,3)=IPW+IPY A1(1,1)=CQW1-CQ1DQ1 A1(1,2)=-CQ1DQ2 A1(1,3)=-CQ1DP A1(2,1)=-CQ2DQ1 A1(2,2)=CQW2-CQ2DQ2 A1(2,3)=-CQ2DP A1(3,1)=-CPDQ1 A1(3,2)=-CPDQ2 A1(3,3)=CPW-CPDP A0(1,1)=KQW1-CQ1Q1 A0(1,2)=-CQ1Q2 A0(1,3)=-CQ1P A0(2,1)=-CQ2Q1 A0(2,2)=KQW2-CQ2Q2 A0(2,3)=-CQ2P A0(3,1)=-CPQ1 A0(3,2)=-CPQ2 A0(3,3)=KPW-CPP B(1,1)=CQ1D B(2,1)=CQ2D B(3,1)=CPD BG(1,1)=CQ1U BG(1,2)=CQ1V BG(1,3)=CQ1W BG(2,1)=CQ2U BG(2,2)=CQ2V BG(2,3)=CQ2W BG(3,1)=CPU BG(3,2)=CPV BG(3,3)=CPA AA(1,1)=2.*YTW*SN AA(1,2)=YTW*CS-HMAST*E*D3 AA(1,3)=HMAST*E*SN+YTW*D1 AA(1,4)=2.*E*CS AA(1,5)=-E*D3 AA(1,6)=-E*SN AA(2,1)=-2.*YTW*CS AA(2,2)=YTW*SN+HMAST*E*D1 AA(2,3)=-HMAST*E*CS+YTW*D3 AA(2,4)=2.*E*SN AA(2,5)=E*D1 AA(2,6)=E*CS AA(3,1)=2.*(HEA-HMAST)*SN+2.*ZEA*CS AA(3,2)=HMAST+(HEA-HMAST)*CS-ZEA*SN AA(3,3)=HMAST*(D3*SN+D1*CS) AA(3,4)=2.*(D3*CS-D1*SN) AA(3,5)=1. AA(3,6)=-D3*SN-D1*CS RETURN END

SUBROUTINE RTACC ROTOR TEST APPARATUS --- OPSTRT = 10XC COMMON /RINPUT/HHR(667) EQUIVALENCE (RADIUS,HHR(14)),(OMEGA,HHR(13)),(NBLADE,HHR(2)),(IB,H- 1HR(32)) REAL IB COMMON /TINPUT/HHT(285) EQUIVALENCE (OPREAD,HHT(152)),(OPSTRT,HHT(23)),(RST(1,1),HHT(167)) REAL RST(3,3) INTEGER OPREAD,OPSTRT COMMON /SCOEF/CA(6,10),A2(10,10),A1(10,10),A0(10,10),B(10,3),BG(10- 1,3),AA(10,6),MXS,MVS REAL ZERO(480) EQUIVALENCE (ZERO(1),CA(1,1)) REAL MASS(7,6),FREQ(7,6),DAMPB(7,6),DAMPG(7,6),ZETAR(3,7,6),GAMAR(- 13,7,6),NMODE(6) REAL W(7),C(7),G(7),MND NAMELIST /NLRTA/DAMPER,W,C,G INTEGER COUNT DATA COUNT/0/ DATA MASS/2767.1,2457.,3730.1,1359.5,476.04,198.46,5082.,7*0.,944.- 159,439.44,113.16,4*0.,1925.2,15644.,952.76,1795.9,594.01,255.73,51- 237.2,7*0.,944.87,415.63,120.91,4*0./ DATA FREQ/1.76,2.32,2.67,4.02,4.50,6.34,7.34,7*0.,3.07,3.47,4.49,4- 1*0.,1.72,2.36,2.15,3.04,3.52,4.59,7.34,7*0.,2.27,2.45,3.27,4*0./ DATA DAMPB/3800.,2000.,0.,1500.,3400.,0.,9000.,14*0.,2500.,15000.,- 1120.,2800.,2000.,0.,9000.,14*0./ DATA DAMPG/1300.,1000.,2000.,500.,600.,5000.,6500.,7*0.,500.,400.,- 15000.,4*0.,650.,5000.,350.,800.,1500.,5000.,6500.,7*0.,440.,300.,5- 2000.,4*0./ DATA ZETAR/1.,0.,-.01098,0.,1.,2*0.,1.,0.,1.,0.,-.02087,0.,1.,2*0.- 1,.12295,0.,-.00856,0.,1.,21*0.,1.,3*0.,1.,2*0.,.2485,0.,12*0.,1.,0- 2.,-.0084,0.,1.,2*0.,1.,0.,1.,0.,-.0084,0.,1.,2*0.,.1003,0.,.02953,- 30.,1.,21*0.,1.,3*0.,1.,2*0.,.22354,0.,12*0./ DATA GAMAR/0.,.00205,0.,-.00128,0.,.07685,-.00400,0.,-.01964,0.,.0- 10442,0.,-.00185,0.,.07651,.00278,0.,.05,0.,.00843,0.,21*0.,5*0.,.0- 24827,2*0.,.05,12*0.,0.,.00157,0.,-.00538,0.,-.12932,-.00140,0.,.05- 3417,0.,.00164,0.,-.00032,0.,.08948,.00107,0.,.05,0.,.00921,0.,21*0- 4.,5*0.,.05284,2*0.,.05,12*0./ DATA NMODE/7,7,3,7,7,3/ DO 1 I=1,480 1 ZERO(I)=0. COUNT=COUNT+1 IF (COUNT .GE. 2) GO TO 2 DAMPER=0. ICASE=OPSTRT-100 IF ((OPSTRT .NE. 102) .AND. (OPSTRT .NE. 105)) GO TO 11 DAMPER=1. ICASE=ICASE-1 11 MXS=NMODE(ICASE) DO 10 I=1,MXS W(I)=FREQ(I,ICASE) C(I)=DAMPB(I,ICASE) 10 G(I)=DAMPG(I,ICASE) IF (OPREAD .GE. 2) READ (5,NLRTA) 2 MXS=NMODE(ICASE) MVS=0 CNST=RADIUS**2*2./(FLOAT(NBLADE)*IB) DO 20 I=1,MXS MND=MASS(I,ICASE)*CNST FND=W(I)*6.283185/OMEGA A2(I,I)=MND A1(I,I)=DAMPER*C(I)*CNST/OMEGA+G(I)*CNST/OMEGA A0(I,I)=MND*FND**2 DO 20 K=1,3 DO 20 J=1,3 CA(K,I)=CA(K,I)+RST(K,J)*ZETAR(J,I,ICASE) 20 CA(K+3,I)=CA(K+3,I)+RST(K,J)*GAMAR(J,I,ICASE)*RADIUS DO 21 I=1,MXS AA(I,1)= 2.*CA(3,I) AA(I,2)= CA(1,I) AA(I,3)= -CA(2,I) AA(I,4)=-2.*CA(6,I) AA(I,5)= CA(5,I) 21 AA(I,6)= -CA(4,I) RETURN END BLOCK DATA COMMON /RINPUT/TYPE,NBLADE,DEL3G,NTRIM0,NTRIM1,MU,LAMDA,MTIP,NBM,N- 1TM,GIMBAL,GAMMA,OMEGA,RADIUS,SIGMA,OPAERO,MRAERO,BBLD,RROOT,INCOMP- 2,TRC,TRS,TR0,MPSI,MREV,OPMODE,OFFSET,MRMODE,NONROT,NCOLB,CONE,IB,D- 3EL1,XFA,KPG,GGS,GQS(5),GPS(3),NCOLT,WT0,RFA,HSPRC,HSPRS,KPB(5),RPH- 4,XPH,WTCH,WTSH,WTRH,WTC,WTS,WTR,NUGC,NUGS,KFLAP,KLAG,HINGE,KPIN,AT- 5ANKP(5),DROOP,SWEEP,DEL2,DEL3,ZFA,VTIPN,DEBUGR,EPMODE,GLAG,LDAMP,E- 6XDAMP,PHIPH,PHIPL,LDAMPC,MUY,MUZ,CHORD(51),XA(51),MASS(51),XI(51),- 7THETA(51),ITHETA(51),TWIST(51),EIZZ(51),EIXX(51),GJ(51),XC(51),DEN- 8SER,OPUNIR,ELAG,VTOT,KHLMDA,KFLMDA,ALFHP,PSIHP,T75IN,T1CIN,T1SIN,I- 9RING,ROTATE,FDROOP,FSWEEP,DEL4,DEL5 REAL MU,LAMDA,MTIP,IB,MASS,ITHETA,KPG,NUGC,NUGS,KPB,KFLAP,KLAG,LDA- 1MP,LDAMPC,MUY,MUZ,KHLMDA,KFLMDA INTEGER OPAERO,GIMBAL,OPMODE,HINGE,DEBUGR,OPUNIR,ROTATEC COMMON/RINPUT/ VARIANCES: T75->TR0, T1C->TRC, T1S->TRS COMMON /TINPUT/TITLE(18),ASHAFT,IMOTOR,RTRANS,OPTRIM,OPSTRT,CON(11- 1),VEL,VKTS,DOF(40), OPLMDA,GUST(3),OPMOTR,OPFLOW,MPER,JCNST,DEBUG,- 2NSYSAN,NSTEP,NFREQ,ITER,CQTRIM,CTTRIM,EPTRIM,FACTOR,PLOTMX,LOCUS,R- 3ESPON,NF,DOFP(40),CONP(14),OPREAD,EDAMPC,VTIP,RPM,T75,T1C,T1S,CTLM- 4DA,OPTORS,DENSE,OPUNIT,BCTRIM,BSTRIM,CXTRIM,CYTRIM,RST(3,3),EDAMP,- 5KMAST,KICS,KPGOVR,KIGOVR,ORIENT,AYAW,ACANT,ATILT,OPGOVR,FREQ(100) REAL IMOTOR,KMAST,KICS,KPGOVR,KIGOVR INTEGER OPTRIM,OPSTRT,DOF,CON,GUST,OPMOTR,OPFLOW,DEBUG,RESPON,DOFP- 1,CONP,OPLMDA,OPREAD,OPTORS,OPUNIT,ORIENT,OPGOVR DATA TITLE/72HCUTDOWN H-34 ROTOR --- GROUND RESONANCE DYNAMIC- 1S / DATA DOF/8*1,22*0,4*1,6*0/ DATA CON,GUST/11*0,3*0/ DATA ORIENT,ASHAFT,AYAW,ACANT,ATILT/1,4*0./ DATA T75,T1C,T1S,CTLMDA/5.,0.,0.,.0028/ DATA DENSE,OPUNIT/1.,1/ DATA OPFLOW,OPTORS,OPTRIM,OPREAD/0,1,-1,0/ DATA OPSTRT/2/ DATA DEBUG/0/ DATA MPER,JCNST/30,12/ DATA EPMODE,EPTRIM,CQTRIM,CTTRIM,FACTOR/.001,.001,0.,0.,.75/ DATA BCTRIM,BSTRIM,CXTRIM,CYTRIM/4*0./ DATA NTRIM0,NTRIM1,MPSI,MREV,ITER/1,2,24,10,1/ DATA NSYSAN,NSTEP,NFREQ,FREQ/0,0,0,100*0./ DATA LOCUS,PLOTMX,RESPON,NF,DOFP,CONP/0,2.49,0,100,40*0,14*0/ DATA IMOTOR,RTRANS,EDAMPC,OPMOTR/50.,6.8,10.,2/ DATA KMAST,KICS/1.,1./ DATA OPGOVR,KPGOVR,KIGOVR/0,0.,0./ DATA OPLMDA/1/C DATA TYPE/4HH34S/ DATA VTIPN/700./ DATA INCOMP,OPAERO,OPMODE/1,1,1/ DATA MRAERO,MRMODE,NONROT,NCOLB,NCOLT/9,40,0,2,2/ DATA GIMBAL,NBLADE,GAMMA,RADIUS,SIGMA/0,4,5.51,17.,.1024/ DATA CHORD,XA,XI,XC/51*.0804,51*0.,51*0.,51*0./ DATA BBLD,RROOT/.97,.1/ DATA IB,OFFSET/281.,.059/ DATA ELAG/.059/ DATA ROTATE/1/ DATA KHLMDA,KFLMDA/1.2,1.05/ DATA FDROOP,FSWEEP/0.,0./ DATA MASS/.1,.1,.1,2.05,2.05,2.05,1.77,.612,.586,.399,.177,.119,.1- 119,.131,6*.138,26*.179,.306,.347,.339,.093,.01/ DATA ITHETA,TWIST,EIZZ,EIXX,GJ/51*.016,51*0.,51*102100.,51*1107000- 1.,51*122200./ DATA GGS,GQS,GPS/0.,5*.01,3*.01/ DATA WT0,WTCH,WTSH,WTRH/5.5,5.5,5.5,5.5/ DATA CONE,DROOP,SWEEP,XFA,ZFA,RFA/0.,0.,0.,0.,0.,.061/ DATA KPIN,ATANKP,RPH,XPH,PHIPL,PHIPH,DEL3G/2,5*0.,.059,.1,0.,0.,0.- 1/ DATA HINGE,KFLAP,KLAG,HSPRC,HSPRS/0,0.,0.,0.,0./ DATA LDAMP,EXDAMP/1700.,-1./ END

BLOCK DATA COMMON /RINPUT/TYPE,NBLADE,DEL3G,NTRIM0,NTRIM1,MU,LAMDA,MTIP,NBM,N- 1TM,GIMBAL,GAMMA,OMEGA,RADIUS,SIGMA,OPAERO,MRAERO,BBLD,RROOT,INCOMP- 2,TRC,TRS,TR0,MPSI,MREV,OPMODE,OFFSET,MRMODE,NONROT,NCOLB,CONE,IB,D- 3EL1,XFA,KPG,GGS,GQS(5),GPS(3),NCOLT,WT0,RFA,HSPRC,HSPRS,KPB(5),RPH- 4,XPH,WTCH,WTSH,WTRH,WTC,WTS,WTR,NUGC,NUGS,KFLAP,KLAG,HINGE,KPIN,AT- 5ANKP(5),DROOP,SWEEP,DEL2,DEL3,ZFA,VTIPN,DEBUGR,EPMODE,GLAG,LDAMP,E- 6XDAMP,PHIPH,PHIPL,LDAMPC,MUY,MUZ,CHORD(51),XA(51),MASS(51),XI(51),- 7THETA(51),ITHETA(51),TWIST(51),EIZZ(51),EIXX(51),GJ(51),XC(51),DEN- 8SER,OPUNIR,ELAG,VTOT,KHLMDA,KFLMDA,ALFHP,PSIHP,T75IN,T1CIN,T1SIN,I- 9RING,ROTATE,FDROOP,FSWEEP,DEL4,DEL5 REAL MU,LAMDA,MTIP,IB,MASS,ITHETA,KPG,NUGC,NUGS,KPB,KFLAP,KLAG,LDA- 1MP,LDAMPC,MUY,MUZ,KHLMDA,KFLMDA INTEGER OPAERO,GIMBAL,OPMODE,HINGE,DEBUGR,OPUNIR,ROTATEC COMMON/RINPUT/ VARIANCES: T75->TR0, T1C->TRC, T1S->TRS COMMON /TINPUT/TITLE(18),ASHAFT,IMOTOR,RTRANS,OPTRIM,OPSTRT,CON(11- 1),VEL,VKTS,DOF(40), OPLMDA,GUST(3),OPMOTR,OPFLOW,MPER,JCNST,DEBUG,- 2NSYSAN,NSTEP,NFREQ,ITER,CQTRIM,CTTRIM,EPTRIM,FACTOR,PLOTMX,LOCUS,R- 3ESPON,NF,DOFP(40),CONP(14),OPREAD,EDAMPC,VTIP,RPM,T75,T1C,T1S,CTLM- 4DA,OPTORS,DENSE,OPUNIT,BCTRIM,BSTRIM,CXTRIM,CYTRIM,RST(3,3),EDAMP,- 5KMAST,KICS,KPGOVR,KIGOVR,ORIENT,AYAW,ACANT,ATILT,OPGOVR,FREQ(100) REAL IMOTOR,KMAST,KICS,KPGOVR,KIGOVR INTEGER OPTRIM,OPSTRT,DOF,CON,GUST,OPMOTR,OPFLOW,DEBUG,RESPON,DOFP- 1,CONP,OPLMDA,OPREAD,OPTORS,OPUNIT,ORIENT,OPGOVR DATA TITLE/72HTILTING PROPROTOR AIRCRAFT DYNAMICS --- GIMB 1ALLED ROTOR / DATA DOF/6*1,18*0,3*1,3*0,3*1,7*0/ DATA CON,GUST/11*0,3*0/ DATA T1C,T1S/0.,0./ DATA ORIENT,ASHAFT,AYAW,ACANT,ATILT/3,4*0./ DATA DENSE,OPUNIT/1.,1/ DATA OPFLOW,OPTORS,OPTRIM,OPREAD/0,1,1,0/ DATA OPSTRT/1/ DATA NSYSAN,NSTEP,NFREQ,FREQ,MPER,JCNST/0,0,0,100*0.,30,12/ DATA DEBUG/0/ DATA IMOTOR,RTRANS,EDAMPC,OPMOTR/.098,35.2,1.,2/ DATA KMAST,KICS/750000.,1126000./ DATA OPGOVR,KPGOVR,KIGOVR/1,.0083333,.0166667/ DATA OPLMDA/1/ DATA CQTRIM,CTTRIM,EPTRIM,EPMODE,FACTOR/0.,0.,.001,.0010,.75/ DATA BCTRIM,BSTRIM,CXTRIM,CYTRIM/4*0./ DATA PLOTMX,LOCUS,RESPON,NF/2.99,-1,-1,101/ DATA DOFP,CONP/40*0,14*0/ DATA NTRIM0,NTRIM1,MPSI,MREV,ITER/1,2,24,10,20/C DATA TYPE/4HTILT/ DATA INCOMP,OPAERO,OPMODE/1,1,1/ DATA MRAERO,MRMODE,NONROT,NCOLB,NCOLT/9,40,0,2,2/ DATA VTIPN,GIMBAL,GAMMA,RADIUS,SIGMA,BBLD,RROOT,IB/600.,1,3.83,12.- 15,.089,.97,.1,105./ DATA RFA,XFA,ZFA,CONE,DROOP,SWEEP/.091,0.,0.,2.5,0.,0./ DATA RPH,XPH,PHIPH,PHIPL,KPIN,ATANKP,DEL3G/.017,.063,-20.5,0.,1,5*- 10.,-15./ DATA HSPRC,HSPRS,HINGE,KFLAP,KLAG/.0355,.0355,1,0.,0./ DATA WT0,WTCH,WTSH,WTRH/5.2,4.8,4.8,6.5/ DATA LDAMP,EXDAMP/0.,-1./ DATA NBLADE/3/ DATA OFFSET/.02/ DATA ELAG/.1/ DATA ROTATE/1/ DATA FDROOP,FSWEEP/0.,0./ DATA KHLMDA,KFLMDA/1.2,1.05/ DATA GGS,GQS,GPS/.002,5*.01,3*.01/ DATA CHORD/5*.1133,.1118,.1093,.1069,.1044,.1019,.0995,.0970,.0946- 1,38*.09333/ DATA XA/-0.01256,-0.01256,-0.01234,-0.01199,-0.01165,-0.01130,-0.0- 11095,-0.01061,-0.01026,-0.00991,-0.00957,-0.00922,-0.00887,-0.0085- 23,-0.00818,-0.00783,-0.00749,-0.00714,-0.00679,-0.00645,-0.00610,-- 30.00575,-0.00541,-0.00506,-0.00471,-0.00437,-0.00402,-0.00367,-0.0- 40333,-0.00298,-0.00263,-0.00229,-0.00194,-0.00159,-0.00125,-0.0009- 5,-0.00055,-0.00019,0.00019,0.00055,0.00090,0.00125,0.00159,0.00194- 6,0.00229,0.00263,0.00298,0.00333,0.00367,0.00393,0.00393/ DATA MASS/4.513,.638,.807,1.032,1.192,1.156,1.120,.853,.508,.246,.- 1231,.216,.208,.202,.195,.184,.174,.164,.153,.146,.152,.157,.171,.1- 289,.201,.197,.193,.189,.186,.182,.179,.175,.171,.168,.164,.161,.15- 37,.154,.150,.147,.143,.140,.136,.132,.129,.125,.122,.133,.149,.161- 4,.161/ DATA XI/.00033,.00033,.00065,.00108,.00151,.00193,.00236,.00285,.0- 10335,.00393,.00470,.00547,.00649,.00758,.00903,.01153,.01404,.0112- 21,.00659,.00313,.00313,.00313,.00025,-.00359,-.00639,-.00607,-.005- 375,-.00545,-.00515,-.00485,-.00453,-.00421,-.00389,-.00357,-.00325- 4,-.00290, -.00255,-.00219,-.00181, -.00144,-.00107,-- 5.00069,-.00028,.00015,.00058,.00103,.00149,.00202,.00258,.003,.003- 6/ DATA XC/.00033,.00033,.00065,.00108,.00151,.00193,.00236,.00285,.0- 10335,.00393,.00470,.00547,.00649,.00758,.00903,.01153,.01404,.0112- 21,.00659,.00313,.00313,.00313,.00025,-.00359,-.00639,-.00607,-.005- 375,-.00545,-.00515,-.00485,-.00453,-.00421,-.00389,-.00357,-.00325- 4,-.00290, -.00255,-.00219,-.00181, -.00144,-.00107,-- 5.00069,-.00028,.00015,.00058,.00103,.00149,.00202,.00258,.003,.003- 6/ DATA ITHETA/.0334,.0334,.0317,.0293,.0270,.0248,.0226,.0201,.0174,- 1.0157,.0170,.0184,.0198,.0214,.0230,.0250,.0270,.0262,.0244,.0230,- 2.0226,.0222,.0220,.0220,.0218,.0211,.0205,.0199,.0193,.0187,.0182,- 3.0176,.0171,.0165,.0160,.0155,.0150,.0146,.0142, - 5.0139,.0135,.0131,.0128, - 4.0124,.0121,.0118,.0116,.0113,.0111,.0110,.0110/ DATA TWIST/34.43,33.49,32.45,31.55,30.79,30.03,29.03,28.03,26.88,2- 15.58,24.28,23.03,21.78,20.43,18.98,17.53,16.48,15.43,14.20,12.79,1- 21.38,10.64,9.90,9.03,8.03,7.03,6.43,5.83,5.19,4.51,3.83,3.31,2.79,- 32.30,1.84,1.38,.83,.275,-.275,-.82,-1.37,-1.86,-2.35,-2.82,-3.27,-- 43.72,-4.14,-4.56,-4.98,-5.40,-5.82/ DATA EIZZ/1111000.,1111000.,1111000.,1111000.,1215000.,1632000.,20- 149000.,1911000.,1589000.,1287000.,1045000.,803000.,674000.,582000.- 2,499000.,445000.,392000.,355000.,323000.,294000.,278000.,261000.,2- 346000.,232000.,217000.,202000.,188000.,175000.,163000.,151000.,140- 4000.,129000.,120000.,110000.,101000.,93400.,85300.,78100.,71200.,6- 54400.,58300.,52200.,47200.,42400.,37800.,33700.,29500.,26100.,2280- 60.,20400.,20400./ DATA EIXX/1111000.,1111000.,1111000.,1111000.,1259000.,1851000.,24- 140000.,3070000.,3720000.,4250000.,4470000.,4680000.,5060000.,54800- 200.,5660000.,5100000.,4530000.,3980000.,3440000.,3060000.,3160000.- 3,3250000.,3490000.,3770000.,3960000.,3870000.,3790000.,3690000.,36- 400000.,3500000.,3410000.,3320000.,3230000.,3150000.,3060000.,29900- 500.,2910000.,2850000.,2780000.,2710000.,2650000.,2590000.,2530000.- 6,2470000.,2420000.,2370000.,2320000.,2280000.,2240000.,2210000.,22- 710000./ DATA GJ/410000.,410000.,357000.,287000.,256000.,344000.,432000.,40- 13000.,335000.,271000.,220000.,170000.,142200.,122400.,104900.,9370- 20.,82600.,74800.,68000.,62000.,58500.,55000.,51900.,48800.,45700.,- 342600.,39500.,36800.,34200.,31700.,29500.,27200.,24800.,22300.,202- 400.,19000.,17900.,16500.,15000.,13570.,12290.,11010.,9940.,8940.,7- 5980.,7100.,6230.,5500.,4820.,4310.,4310./ END

BLOCK DATA COMMON /RINPUT/TYPE,NBLADE,DEL3G,NTRIM0,NTRIM1,MU,LAMDA,MTIP,NBM,N- 1TM,GIMBAL,GAMMA,OMEGA,RADIUS,SIGMA,OPAERO,MRAERO,BBLD,RROOT,INCOMP- 2,TRC,TRS,TR0,MPSI,MREV,OPMODE,OFFSET,MRMODE,NONROT,NCOLB,CONE,IB,D- 3EL1,XFA,KPG,GGS,GQS(5),GPS(3),NCOLT,WT0,RFA,HSPRC,HSPRS,KPB(5),RPH- 4,XPH,WTCH,WTSH,WTRH,WTC,WTS,WTR,NUGC,NUGS,KFLAP,KLAG,HINGE,KPIN,AT- 5ANKP(5),DROOP,SWEEP,DEL2,DEL3,ZFA,VTIPN,DEBUGR,EPMODE,GLAG,LDAMP,E- 6XDAMP,PHIPH,PHIPL,LDAMPC,MUY,MUZ,CHORD(51),XA(51),MASS(51),XI(51),- 7THETA(51),ITHETA(51),TWIST(51),EIZZ(51),EIXX(51),GJ(51),XC(51),DEN- 8SER,OPUNIR,ELAG,VTOT,KHLMDA,KFLMDA,ALFHP,PSIHP,T75IN,T1CIN,T1SIN,I- 9RING,ROTATE,FDROOP,FSWEEP,DEL4,DEL5 REAL MU,LAMDA,MTIP,IB,MASS,ITHETA,KPG,NUGC,NUGS,KPB,KFLAP,KLAG,LDA- 1MP,LDAMPC,MUY,MUZ,KHLMDA,KFLMDA INTEGER OPAERO,GIMBAL,OPMODE,HINGE,DEBUGR,OPUNIR,ROTATEC COMMON/RINPUT/ VARIANCES: T75->TR0, T1C->TRC, T1S->TRS COMMON /TINPUT/TITLE(18),ASHAFT,IMOTOR,RTRANS,OPTRIM,OPSTRT,CON(11- 1),VEL,VKTS,DOF(40), OPLMDA,GUST(3),OPMOTR,OPFLOW,MPER,JCNST,DEBUG,- 2NSYSAN,NSTEP,NFREQ,ITER,CQTRIM,CTTRIM,EPTRIM,FACTOR,PLOTMX,LOCUS,R- 3ESPON,NF,DOFP(40),CONP(14),OPREAD,EDAMPC,VTIP,RPM,T75,T1C,T1S,CTLM- 4DA,OPTORS,DENSE,OPUNIT,BCTRIM,BSTRIM,CXTRIM,CYTRIM,RST(3,3),EDAMP,- 5KMAST,KICS,KPGOVR,KIGOVR,ORIENT,AYAW,ACANT,ATILT,OPGOVR,FREQ(100) REAL IMOTOR,KMAST,KICS,KPGOVR,KIGOVR INTEGER OPTRIM,OPSTRT,DOF,CON,GUST,OPMOTR,OPFLOW,DEBUG,RESPON,DOFP- 1,CONP,OPLMDA,OPREAD,OPTORS,OPUNIT,ORIENT,OPGOVR DATA TITLE/72HTILTING PROPROTOR AIRCRAFT DYNAMICS --- HING 1ELESS ROTOR / DATA DOF/0,5*1,20*0,1,3*0,3*1,7*0/ DATA CON,GUST/11*0,3*0/ DATA T1C,T1S/0.,0./ DATA ORIENT,ASHAFT,AYAW,ACANT,ATILT/3,4*0./ DATA DENSE,OPUNIT/1.,1/ DATA OPFLOW,OPTORS,OPTRIM,OPREAD/0,1,1,0/ DATA OPSTRT/1/ DATA DEBUG/0/ DATA NSYSAN,NSTEP,NFREQ,FREQ,MPER,JCNST/0,0,0,100*0.,30,12/ DATA IMOTOR,RTRANS,EDAMPC,OPMOTR/.098,35.2,1.,2/ DATA KMAST,KICS/750000.,1126000./ DATA OPGOVR,KPGOVR,KIGOVR/1,.040,.06/ DATA OPLMDA/1/ DATA PLOTMX,LOCUS,RESPON,NF/2.99,-1,-1,101/ DATA DOFP,CONP/40*0,14*0/ DATA CQTRIM,CTTRIM,EPTRIM,EPMODE,FACTOR/0.,0.,.001,.0010,.75/ DATA BCTRIM,BSTRIM,CXTRIM,CYTRIM/4*0./ DATA NTRIM0,NTRIM1,MPSI,MREV,ITER/1,2,24,10,20/C DATA TYPE/4HTILT/ DATA OPAERO,OPMODE,INCOMP/1,1,1/ DATA MRAERO,MRMODE,NONROT,NCOLB,NCOLT/9,40,0,2,2/ DATA NBLADE/3/ DATA VTIPN,GIMBAL,GAMMA,RADIUS,SIGMA,BBLD,RROOT,IB/525.,0,4.04,13.- 1,.115,.97,.1,150./ DATA RFA,RPH,XPH,PHIPL,PHIPH,DEL3G,KPIN,ATANKP/.06,0.,.05,0.,0.,0.- 1,1,5*0./ DATA ZFA,DROOP,SWEEP/0.,0.,0./ DATA CONE,XFA,WT0,WTCH,WTSH/2.5,.00417,5.75,5.3,5.3/ DATA WTRH/6.5/ DATA HINGE,KLAG,KFLAP,HSPRC,HSPRS/1,0.,0.,0.,0./ DATA LDAMP,EXDAMP/0.,-1./ DATA OFFSET/.07/ DATA ELAG/.1/ DATA FDROOP,FSWEEP/0.,0./ DATA KHLMDA,KFLMDA/1.2,1.05/ DATA ROTATE/-1/ DATA GGS,GQS,GPS/0.,5*.01,3*.01/ DATA CHORD/51*.1208/ DATA XA/51*.001933/ DATA XI/16*0.,.000258,.000516,.000773,.001031,.001289,.001547,.001- 1804,28*.001933/ DATA XC/16*0.,.000258,.000516,.000773,.001031,.001289,.001547,.001- 1804,28*.001933/ DATA XI/16*.0015,.00151,.00153,.00154,.00155,.00156,.00158,.00159,- 128*.0016/ DATA MASS/13.83,.259,.259,.244,.212,.181,.162,.143,.129,.121,.113,- 1.114,.115,.115,.116,.117,.123,.129,.135,.141,.147,.154,.160,.162, - 2 .160,.157,.157,.156,.156,.155,.154,.154,.154,.154,.153,.1- 353,.152,.152,.172,.214,.255,.213,.172,.150,.149,5*.147,1.106/ DATA ITHETA/.00485,.00485,.00485,.00447,.00371,.00295,.00263,.0023- 11,.00211,.00203,.00194,.00200,.00205,.00209,.00214,.00218,.00627,.- 201036,.01446,.01855,.02265,.02675,.03086,.03288,.03283, 6*.03278,.- 303273,.03268,.03263,.03259, .03254,.03251,.03248,.03245,.032- 442,.03239,.03236,.03233,.03230,.03228,6*.03226/ DATA TWIST/6*33.4,29.7,27.5,25.6,24.,22.5,21.2,20.,19.,18.,17.,16.- 1,15.1,14.2,13.3,12.4,11.6,10.8,10.,9.2,8.5,7.8,7.1,6.4,5.7,5.,4.3,- 23.6,2.9,2.2,1.5,.9,.3,-.3,-1.,-1.7,-2.4,-3.1,-3.8,-4.5,-5.1,-5.7,-- 36.3,-6.9,-7.5,-8.1/ DATA EIZZ/3*459000.,406000.,299000.,191300.,153200.,115000.,91400.- 1,82100.,72900.,68800.,64700.,60600.,56500.,52400.,50500.,48600.,46- 2700.,44800.,42900.,41000.,39100.,37400.,35800.,34200.,33300.,32500- 3.,31700.,30800.,29900.,29800.,29700.,29500.,29400.,29200.,28700.,2- 48200.,27700., - 5 27200.,4*26700.,2*26800.,26700.,26600.,26500.,26400.,26300./ DATA EIXX/388000.,388000.,388000.,373000.,342000.,310000.,288000.,- 1266000.,253000.,248000.,243000.,252000.,261000.,270000.,280000.,28- 29000.,750000.,1212000.,1674000.,2135000.,2597000.,3058000.,3519000- 3.,3722000.,3667000.,3611000.,3597000.,3583000.,3569000.,3556000.,3- 4542000.,5*3542000.,3556000.,3569000.,3583000.,3597000.,3611000.,36- 531000.,3650000.,3671000.,3693000.,6*3715000./ DATA GJ/855000.,855000.,855000.,771000.,603000.,435000.,365000.,29- 15000.,246000.,217000.,189000.,176000.,163000.,150000.,137000.,1240- 200.,126000.,129000.,131000.,134000.,136000.,139000.,141000.,143000- 3.,4*142000.,141000.,141000., - 4 4*140000.,139000.,139000.,142000.,145000.,147000.,1500- 500.,153000.,156000.,160000.,163000.,167000.,170000.,171000.,173000- 6.,174000.,175000.,176000./ END

SUBROUTINE WTLDECC ROTOR AND WIND TUNNEL SUPPORT DYNAMICSC WAYNE JOHNSON NASA-ARC/USAAMRDLC JANUARY 1976C COMMON /WTCOEF/A2(1600),A1(1600),A0(1600),B0(560),MX,MX1,MV,MVG,DO- 1F1(40) INTEGER DOF1 COMMON /RCOEF/A2R(30,30),A1R(30,30),A0R(30,30),AA2R(30,6),AA1R(30,- 16),AA0R(30,6),BR(30,8),BGR(30,3),C2R(6,30),C1R(6,30),C0R(6,30),CA2- 2R(6,6),CA1R(6,6),CA0R(6,6),DGR(6,3) COMMON /SCOEF/CAW(6,10),A2W(10,10),A1W(10,10),A0W(10,10),BW(10,3),- 1BGW(10,3),AAW(10,6),MXS,MVS COMMON /TINPUT/TITLE(18),ASHAFT,IMOTOR,RTRANS,OPTRIM,OPSTRT,CON(11- 1),VEL,VKTS,DOF(40), OPLMDA,GUST(3),OPMOTR,OPFLOW,MPER,JCNST,DEBUG,- 2NSYSAN,NSTEP,NFREQ,ITER,CQTRIM,CTTRIM,EPTRIM,FACTOR,PLOTMX,LOCUS,R- 3ESPON,NF,DOFP(40),CONP(14),OPREAD,EDAMPC,VTIP,RPM,T75,T1C,T1S,CTLM- 4DA,OPTORS,DENSE,OPUNIT,BCTRIM,BSTRIM,CXTRIM,CYTRIM,RST(3,3),EDAMP,- 5KMAST,KICS,KPGOVR,KIGOVR,ORIENT,AYAW,ACANT,ATILT,OPGOVR,FREQ(100) REAL IMOTOR,KMAST,KICS,KPGOVR,KIGOVR INTEGER OPTRIM,OPSTRT,DOF,CON,GUST,OPMOTR,OPFLOW,DEBUG,RESPON,DOFP- 1,CONP,OPLMDA,OPREAD,OPTORS,OPUNIT,ORIENT,OPGOVR COMMON /RINPUT/HHR(667) EQUIVALENCE (RADIUS,HHR(14)),(VTIPN,HHR(79)),(NBLADE,HHR(2)),(GIMB- 1AL,HHR(11)),(NBM,HHR(9)),(NTM,HHR(10)),(OPAERO,HHR(16)),(OPMODE,HH- 2R(26)),(GAMMA,HHR(12)),(SIGMA,HHR(15)),(MU,HHR(6)),(LAMDA,HHR(7)),- 3(MUY,HHR(88)),(MUZ,HHR(89)),(KPB(1),HHR(50)),(KPG,HHR(35)),(TRC,HH- 4R(21)),(TRS,HHR(22)),(IB,HHR(32)),(OMEGA,HHR(13)),(KHLMDA,HHR(655)- 5),(KFLMDA,HHR(656)),(ROTATE,HHR(663)) REAL MU,LAMDA,MUY,MUZ,KPG,KPB(5),IB,KHLMDA,KFLMDA INTEGER GIMBAL,OPAERO,OPMODE,ROTATE NAMELIST /NLWT/TITLE,VEL,VKTS,DOF,CON,GUST,OPMOTR,OPFLOW,MPER,JCNS- 1T,DEBUG,NSYSAN,NSTEP,NFREQ,FREQ,OPSTRT,ASHAFT,PLOTMX,LOCUS,RESPON,- 2NF,DOFP,CONP,IMOTOR,RTRANS,IMSTAR,OPTRIM,ITER,CQTRIM,CTTRIM,EPTRIM- 3,FACTOR,OPLMDA,EDAMP,VTIP,RPM,OPREAD,CTLMDA,OPTORS,EDAMPC,T75,T1C,- 4T1S,DENSE,OPUNIT,BCTRIM,BSTRIM,CXTRIM,CYTRIM,RST,KMAST,KICS,KPGOVR- 5,KPGOVC,KIGOVR,ORIENT,AYAW,ACANT,ATILT,OPGOVR NAMELIST /NLEQ/A2,A1,A0,B0,MX,MX1,MV,MVG,DOF0,DOF1 NAMELIST /NLR/A2R,A1R,A0R,AA2R,AA1R,AA0R,BR,BGR,C2R,C1R,C0R,CA2R,C- 1A1R,CA0R,DGR NAMELIST /NLS/ CAW,A2W,A1W,A0W,BW,BGW,AAW,MXS,MVS DIMENSION B(440),BG(120),PHI(1800),C2H(6,10),C1H(6,10),C0H(6,10) REAL IMSTAR,KPGOVC,CUNIT(2),BGH(30,3),DGH(6,3),CSSTD(2) INTEGER DOF0(40) EQUIVALENCE (B0(1),B(1)),(B0(441),BG(1)) EQUIVALENCE (BGH(1,1),B(1)),(DGH(1,1),B(91)),(C0H(1,1),B(1)),(C1H(- 11,1),B(61)),(C2H(1,1),B(121)) DATA CSSTD/1117.,340.3/ DATA CUNIT/.5924838,1.943845/ DATA CVERT/57.29578/ 999 FORMAT (1H1/1X,18A4,20X,'(EQUATIONS OF MOTION)'//) 998 FORMAT (/1X,'OPERATING STATE',29X,'ROTOR ORIENTATION',23X,'ROTOR P- 1ARAMETERS'/6X,'VELOCITY (KTS) =',F8.2,20X, - 2'HELICOPTER',30X, - 3'RADIUS (FT OR M) =',F7.2/6X,'V/(OMEGA*R) =',F8.4,20X, - 4'SHAFT ANGLE (DEG) =',F7.2,14X, - 5'OMEGA (RAD/SEC) =',F7.2/6X,'TIP SPEED (FPS OR MPS) =',F7.2,13X, - 6'YAW ANGLE (DEG) =',F7.2,14X, - 7'IB (SLUG-FT2 OR KG-M2) =',F7.0/6X,'ROTATIONAL SPEED (RPM) =',F7.2- 8,53X, - 9'NUMBER OF BLADES =',I2/6X,'AIR DENSITY RATIO =',F7.4,58X,'LOCK NU- AMBER =',F7.3/6X,'OPSTRT =',I4,72X,'ROTOR SOLIDITY =',F7.4) 997 FORMAT (/1X,'OPERATING STATE',29X,'ROTOR ORIENTATION',23X,'ROTOR P- 1ARAMETERS'/6X,'VELOCITY (KTS) =',F8.2,20X, - 2'PROPELLER',31X, - 3'RADIUS (FT OR M) =',F7.2/6X,'V/(OMEGA*R) =',F8.4,20X, - 4'YAW ANGLE (DEG) =',F7.2,16X, - 5'OMEGA (RAD/SEC) =',F7.2/6X,'TIP SPEED (FPS OR MPS) =',F7.2,53X, - 7'IB (SLUG-FT2 OR KG-M2) =',F7.0/6X,'ROTATIONAL SPEED (RPM) =',F7.2- 8,53X, - 9'NUMBER OF BLADES =',I2/6X,'AIR DENSITY RATIO =',F7.4,58X,'LOCK NU- AMBER =',F7.3/6X,'OPSTRT =',I4,72X,'ROTOR SOLIDITY =',F7.4) 996 FORMAT (/1X,'OPERATING STATE',29X,'ROTOR ORIENTATION',23X,'ROTOR P- 1ARAMETERS'/6X,'VELOCITY (KTS) =',F8.2,20X, - 2'PROPROTOR',31X, - 3'RADIUS (FT OR M) =',F7.2/6X,'V/(OMEGA*R) =',F8.4,20X, - 4'TILT ANGLE (DEG) =',F7.2,13X, - 5'OMEGA (RAD/SEC) =',F7.2/6X,'TIP SPEED (FPS OR MPS) =',F7.2,13X, - 6'CRUISE ANGLE (DEG) =',F7.2,13X, - 7'IB (SLUG-FT2 OR KG-M2) =',F7.0/6X,'ROTATIONAL SPEED (RPM) =',F7.2- 8,13X,'CANT ANGLE (DEG) =',F7.2,13X, - 9'NUMBER OF BLADES =',I2/6X,'AIR DENSITY RATIO =',F7.4,58X,'LOCK NU- AMBER =',F7.3/6X,'OPSTRT =',I4,72X,'ROTOR SOLIDITY =',F7.4) 994 FORMAT (///1X,'OPTIONS'/ - 110X,'OPFLOW =',I2,10X,'IF 0, AXIAL FLOW/ LT 0, CONSTANT COEFF'/ - 310X,'OPMOTR =',I2,10X,'IF 0, AUTOROTATION/ IF 1, CONSTANT SPEED/ I- AF 2, MOTOR/ IF 3, POWER OUT/ LT 0, ANTISYMMETRIC'/ - 410X,'OPTORS =',I2,10X,'IF 0, DOF/ IF 1, RIGID/ IF 2, QUASISTATIC'/- 510X,'OPAERO =',I2,10X,'IF 0, ONLY CLA TERMS IN ROTOR AERODYNAMICS/- 6 LT 0, NO STALL'/ - 710X,'OPTRIM =',I2,10X,'IF 0, NO TRIM/LT 0, NO ITER/IF 1, TRIM T/IF- B 2, TRIM Q/IF 3, TRIM T AND FLAP/IF 4, TRIM L,X,Y'/ - 810X,'OPMODE =',I2,10X,'IF 0, RIGID BLADE MODES/ IF 2, READ MODES/ - 9IF 3, PUNCH MODES/ IF 4, ARTICULATED MODES'/ - C10X,'OPLMDA =',I2,10X,'IF 0, QUASISTATIC INFLOW DYNAMICS'/ - D10X,'OPGOVR =',I2,10X,'IF 0, NO GOVERNOR/ IF 1, GOVERNOR/ IF 2, IN- EPUT GAINS') 993 FORMAT (///1X,'ORDER OF VARIABLES'/10X,'DOF = B0,B1C,B1S,BNC,BNS,B- 1N/2 T0,T1C,T1S,TNC,TNS,TN/2 BGC,BGS,PSI L0,LC,LS SUPPORT'/- 210X,'CON = T0,T1C,T1S,TNC,TNS,TN/2 SUPPORT'/ - 310X,'GUST = UG,VG,WG') 992 FORMAT (///10X,'DOF =',1X,15I1,3X,9I1,3X,3I1,3X,3I1,3X,10I1/10X, '- 1CON =',1X,8I1,3X,3I1/10X,'GUST =',1X,3I1) 991 FORMAT (///1X,'COMPUTATION PARAMETERS',20X,'CSYSAN - STEPS =',I4//- 1/) 988 FORMAT (1X,'ENGLISH UNITS (FT, SLUG, SEC)') 987 FORMAT (1X,'METRIC UNITS (M, KG, SEC)') 984 FORMAT (90X,'CLOCKWISE ROTATION') 985 FORMAT (90X,'COUNTER-CLOCKWISE ROTATION') VEL=0. VKTS=0. VTIP=0. RPM=0. READ (5,NLWT) IF ((OPUNIT .NE. 1) .AND. (OPUNIT .NE. 2)) OPUNIT=1 IF ((RPM .NE. 0.) .AND. (VTIP .EQ. 0.)) VTIP=RADIUS*RPM*.1047198 IF (VTIP .EQ. 0.) VTIP=VTIPN IF (RPM .EQ. 0.) RPM=VTIP/RADIUS/.1047198 IF (VEL .EQ. 0.) VEL=VKTS/VTIP/CUNIT(OPUNIT) IF (VKTS .EQ. 0.) VKTS=VEL*VTIP*CUNIT(OPUNIT) CSOUND=CSSTD(OPUNIT) CALL RTRII(OPREAD,DEBUG,VTIP,T75,T1C,T1S,DENSE,CSOUND,OPUNIT) IF (OPFLOW .GT. 0) OPFLOW=-1 IF ((OPTRIM .EQ. 1) .OR. (OPTRIM .GE. 3)) CTLMDA=CTTRIM*SIGMA IF ((OPMOTR .NE. 0) .AND. (IABS(OPMOTR) .NE. 3)) GO TO 126 CQTRIM=0. IF (OPTRIM .GT. 0) OPTRIM=2 126 CONTINUE IF ((OPMOTR.EQ.1).OR.(DOF(27).EQ.0).OR.(OPMOTR.LT.0)) OPGOVR=0 DO 24 K=1,40 IF (DOF(K) .NE. 0) DOF(K)=1 IF (NBLADE .NE. 1) GO TO 125 IF ((K .GE. 6) .AND. (K .LE. 15)) DOF(K)=0 IF ((K .GE. 19) .AND. (K .LE. 40)) DOF(K)=0 GO TO 24 125 IF (NBLADE .NE. 2) GO TO 24 IF ((K .GE. 11) .AND. (K .LE. 15)) DOF(K)=0 IF ((K .GE. 22) .AND. (K .LE. 24)) DOF(K)=0 DOF(26)=0 24 CONTINUE DO 25 K=1,11 IF (CON(K) .NE. 0) CON(K)=1 IF ((K .GT. NBLADE) .AND. (K .LE. 8)) CON(K)=0 IF ((NBLADE .EQ. 1) .AND. (K .NE. 1)) CON(K)=0 25 CONTINUE DO 26 K=1,3 IF (GUST(K) .NE. 0) GUST(K)=1 IF (NBLADE .EQ. 1) GUST(K)=0 26 CONTINUE IF (OPTORS .NE. 1) GO TO 121 DO 122 K=16,24 122 DOF(K)=0 GO TO 123 121 K1=15+NBLADE DO 124 K=16,K1 124 DOF(K)=1 123 CONTINUE IF (GIMBAL .EQ. 0) DOF(25)=0 IF (GIMBAL .EQ. 0) DOF(26)=0 IF (OPMOTR .EQ. 1) DOF(27)=0 NBM=0 DO 21 K=1,5 DO 21 KB=1,NBLADE J=(K-1)*NBLADE+KB IF (J .GT. 15) GO TO 21 IF (DOF(J) .NE. 0) NBM=K 21 CONTINUE NBM=MAX0(1,NBM) NTM=0 DO 22 K=1,3 DO 22 KB=1,NBLADE J=(K-1)*NBLADE+KB IF (J .GT. 9) GO TO 22 IF (DOF(J+15) .NE. 0) NTM=K 22 CONTINUE NTM=MAX0(1,NTM) PRINT 999, (TITLE(I), I=1,18) IF (ORIENT .EQ. 1) PRINT 998, VKTS,RADIUS,VEL,ASHAFT,OMEGA,VTIP,AY- 1AW,IB,RPM,NBLADE,DENSE,GAMMA,OPSTRT,SIGMA IF (ORIENT .EQ. 2) PRINT 997, VKTS,RADIUS,VEL,AYAW,OMEGA,VTIP,IB,R- 1PM,NBLADE,DENSE,GAMMA,OPSTRT,SIGMA IF (ORIENT .EQ. 3) PRINT 996, VKTS,RADIUS,VEL,ATILT,OMEGA,VTIP,ASH- 1AFT,IB,RPM,ACANT,NBLADE,DENSE,GAMMA,OPSTRT,SIGMA IF (ROTATE .EQ. 1) PRINT 985 IF (ROTATE .EQ. -1) PRINT 984 PRINT 994, OPFLOW,OPMOTR,OPTORS,OPAERO,OPTRIM,OPMODE,OPLMDA,OPGOVR PRINT 993 PRINT 992, (DOF(I), I=1,40),(CON(I), I=1,11),(GUST(I), I=1,3) PRINT 991, JCNST IF (OPUNIT .EQ. 1) PRINT 988 IF (OPUNIT .EQ. 2) PRINT 987 CALL MODE CALL WTTRIM NBLD=NBLADE IF (OPFLOW .LT. 0) NBLD=JCNST PSI=0. IF ((NBLADE.GE.3).AND.(OPFLOW.EQ.0)) CALL ROTOR0 IF ((NBLADE.GE.3).AND.(OPFLOW.NE.0)) CALL ROTOR(OPFLOW,PSI,NBLD) IF (NBLADE .EQ. 2) CALL ROTOR2(OPFLOW,PSI,NBLD) IF (NBLADE .EQ. 1) CALL ROTOR1(OPFLOW,PSI,NBLD) DO 230 I=1,3 DO 232 J=1,30 BGH(J,I)=0. DO 232 K=1,3 232 BGH(J,I)=BGH(J,I)+BGR(J,K)*RST(K,I) DO 231 J=1,6 DGH(J,I)=0. DO 231 K=1,3 231 DGH(J,I)=DGH(J,I)+DGR(J,K)*RST(K,I) 230 CONTINUE DO 233 I=1,3 DO 234 J=1,30 234 BGR(J,I)=BGH(J,I) DO 233 J=1,6 233 DGR(J,I)=DGH(J,I) 235 IF ((OPMOTR .EQ. 0) .OR. (OPMOTR .EQ. 1)) GO TO 236 IMSTAR=IMOTOR/(FLOAT(NBLADE)*IB)*RTRANS**2 IF (OPMOTR .LT. 0) GO TO 237 A2R(27,27)=A2R(27,27)+IMSTAR A1R(27,27)=A1R(27,27)+EDAMP GO TO 236 237 CNST1=1.+KICS/KMAST A2R(27,27)=A2R(27,27)+IMSTAR/CNST1 A1R(27,27)=A1R(27,27)+EDAMP/CNST1 A0R(27,27)=A0R(27,27)+KICS/(FLOAT(NBLADE)*IB*OMEGA**2*CNST1) 236 CNST1=GAMMA/(SIGMA*5.7)*DENSE A2R(28,28)=A2R(28,28)+.85*CNST1 A2R(29,29)=A2R(29,29)+.22*CNST1 A2R(30,30)=A2R(30,30)+.22*CNST1 CNST2=SQRT((MU**2+MUY**2)/KFLMDA**2+LAMDA**2/KHLMDA**4) A1R(28,28)=A1R(28,28)+2.*CNST1*(CNST2+(LAMDA-MUZ)*LAMDA/KHLMDA**4/- 1CNST2) A1R(29,29)=A1R(29,29)+CNST1*CNST2 A1R(30,30)=A1R(30,30)+CNST1*CNST2 CALL STRUT(OPSTRT) DO 31 I=1,30 DO 31 K=1,30 JA=(I-1)*40+K A2(JA)=A2R(K,I) A1(JA)=A1R(K,I) 31 A0(JA)=A0R(K,I) IF (NBLADE .EQ. 1) GO TO 130 DO 32 I=1,MXS DO 32 K=1,30 JA=(I+29)*40+K A2(JA)=0. A1(JA)=0. A0(JA)=0. DO 32 J=1,6 A2(JA)=A2(JA)+AA2R(K,J)*CAW(J,I) A1(JA)=A1(JA)+AA1R(K,J)*CAW(J,I) 32 A0(JA)=A0(JA)+AA0R(K,J)*CAW(J,I) DO 33 I=1,30 DO 33 K=1,MXS JA=(I-1)*40+K+30 A2(JA)=0. A1(JA)=0. A0(JA)=0. DO 33 J=1,6 A2(JA)=A2(JA)-AAW(K,J)*C2R(J,I) A1(JA)=A1(JA)-AAW(K,J)*C1R(J,I) 33 A0(JA)=A0(JA)-AAW(K,J)*C0R(J,I) DO 34 I=1,MXS DO 34 K=1,6 C2H(K,I)=0. C1H(K,I)=0. C0H(K,I)=0. DO 34 J=1,6 C2H(K,I)=C2H(K,I)+CA2R(K,J)*CAW(J,I) C1H(K,I)=C1H(K,I)+CA1R(K,J)*CAW(J,I) 34 C0H(K,I)=C0H(K,I)+CA0R(K,J)*CAW(J,I) DO 35 I=1,MXS DO 35 K=1,MXS JA=(I+29)*40+K+30 A2(JA)=A2W(K,I) A1(JA)=A1W(K,I) A0(JA)=A0W(K,I) DO 35 J=1,6 A2(JA)=A2(JA)-AAW(K,J)*C2H(J,I) A1(JA)=A1(JA)-AAW(K,J)*C1H(J,I) 35 A0(JA)=A0(JA)-AAW(K,J)*C0H(J,I) 130 IF (OPFLOW .GT. 0) GO TO 30 DO 137 I=1,8 DO 136 K=1,30 JB=(I-1)*40+K 136 B(JB)=BR(K,I) DO 137 K=1,MXS JB=(I-1)*40+K+30 137 B(JB)=0. IF (NBLADE .EQ. 1) GO TO 30 DO 39 I=1,MVS DO 38 K=1,30 JB=320+(I-1)*40+K 38 B(JB)=0. DO 39 K=1,MXS JB=350+(I-1)*40+K 39 B(JB)=BW(K,I) DO 37 I=1,3 DO 36 K=1,30 JB=(I-1)*40+K 36 BG(JB)=BGR(K,I) DO 37 K=1,MXS JB=(I-1)*40+K+30 BG(JB)=BGW(K,I) DO 37 J=1,6 37 BG(JB)=BG(JB)+AAW(K,J)*DGR(J,I) 30 CONTINUE IF (OPTORS .EQ. 0) GO TO 40 IF (OPTORS .EQ. 2) GO TO 41 JN=40*NBLADE DO 42 J=1,JN 42 B(J)=-A0(J+600) DO 141 I=1,NBM DO 141 J=1,JN JA=(I-1)*JN+J IF (JA .GT. 600) GO TO 141 A0(JA)=A0(JA)-KPB(I)*A0(J+600) 141 CONTINUE IF (GIMBAL .EQ. 0) GO TO 142 JN=80 IF (NBLADE .EQ. 2) JN=40 DO 43 J=1,JN 43 A0(J+960)=A0(J+960)-KPG*A0(J+640) 142 IF (OPFLOW .EQ. 0) GO TO 143 IF (NBLADE .EQ. 2) GO TO 144 DO 145 J=1,40 145 A0(J+1040)=A0(J+1040)+TRS*A0(J+640)-TRC*A0(J+680) GO TO 143 144 TCYC=-TRC*SIN(PSI)+TRS*COS(PSI) DO 146 J=1,40 146 A0(J+1040)=A0(J+1040)+TCYC*A0(J+640) 143 GO TO 40 41 DO 44 I=1,40 DO 44 J=1,9 JA=(I-1)*40+J+15 A2(JA)=0. IF ((I .GE. 28) .AND. (I .LE. 30)) GO TO 44 A1(JA)=0. 44 CONTINUE 40 IF (OPGOVR .EQ. 0) GO TO 50 KPGOVC=KPGOVR*OMEGA IF (OPGOVR .NE. 2) KPGOVC=KPGOVC*AMAX1(0.,AMIN1(1.,ATILT/90.)) DO 51 I=1,40 A0(I+1040)=A0(I+1040)-KIGOVR*B(I) 51 A1(I+1040)=A1(I+1040)-KPGOVC*B(I) 50 MX=0 MX1=0 MX0=0 MV=0 MVG=0 DO 61 I=1,40 MX=MX+DOF(I) DOF1(I)=1 61 DOF0(I)=1 IF ((OPFLOW.NE.0).OR.(OPMOTR.LT.0).OR.(OPGOVR.NE.0)) GO TO 67 DOF1(27)=0 IF (DOF(27) .NE. 0) MX1=1 67 DO 66 I=28,30 DOF1(I)=0 IF (DOF(I) .EQ. 0) GO TO 66 MX1=MX1+1 IF (OPLMDA .NE. 0) GO TO 66 DOF0(I)=0 MX0=MX0+1 66 CONTINUE IF (OPTORS .NE. 2) GO TO 62 DO 63 I=16,24 IF (DOF(I) .EQ. 0) GO TO 63 DOF0(I)=0 MX0=MX0+1 63 CONTINUE 62 DO 64 I=1,11 64 MV=MV+CON(I) DO 65 I=1,3 65 MVG=MVG+GUST(I) CALL DERED(40,11,3,DOF,CON,GUST,A2,A1,A0,B,BG,DOF1,DOF0) MVX=MX*MV MVGX=MX*MVG DO 81 I=1,MVGX I1=I+MVX 81 B0(I1)=BG(I) MV=MV+MVG 80 CONTINUE IF ((OPLMDA .EQ. 0) .OR. (OPTORS .EQ. 2)) CALL QSTRAN(MX,MX0,MX1,M- 1V,A2,A1,A0,B0,DOF1,DOF0) IF (DEBUG .EQ. 0) GO TO 83 MXSQ1=MX*MX+1 IF (MXSQ1 .GT. 1600) GO TO 84 DO 85 I=MXSQ1,1600 A2(I)=0. A1(I)=0. 85 A0(I)=0. 84 MVX1=MX*MV+1 IF (MVX1 .GT. 560) GO TO 83 DO 86 I=MVX1,560 86 B0(I)=0. 83 CONTINUE IF (DEBUG .GE. 2) WRITE(6,NLWT) IF (DEBUG .EQ. 3) WRITE(6,NLR) IF (DEBUG .EQ. 3) WRITE(6,NLS) IF ((DEBUG .EQ. 1) .OR. (DEBUG .EQ. 3)) WRITE(6,NLEQ) RETURN END

SUBROUTINE ROTOR1(OPTION,PSI,NBLD) INTEGER OPTION COMMON /RINPUT/TYPE,NBLADE,DEL3G,NTRIM0,NTRIM1,MU,LAMDA,MTIP,NBM,N- 1TM,GIMBAL,GAMMA,OMEGA,RADIUS,SIGMA,OPAERO,MRAERO,BBLD,RROOT,INCOMP- 2,T1C,T1S,T75,MPSI,MREV,OPMODE,OFFSET,MRMODE,NONROT,NCOLB,CONE,IB,D- 3EL1,XFA,KPG,GGS,GQS(5),GPS(3),NCOLT,WT0,RFA,HSPRC,HSPRS,KPB(5),RPH- 4,XPH,WTCH,WTSH,WTRH,WTC,WTS,WTR,NUGC,NUGS,KFLAP,KLAG,HINGE,KPIN,AT- 5ANKP(5),DROOP,SWEEP,DEL2,DEL3,ZFA,VTIPN,DEBUGR,EPMODE,GLAG,LDAMP,E- 6XDAMP,PHIPH,PHIPL,LDAMPC,MUY,MUZ,CHORD(51),XA(51),MASS(51),XI(51),- 7THETA(51),ITHETA(51),TWIST(51),EIZZ(51),EIXX(51),GJ(51),XC(51),DEN- 8SER,OPUNIR,ELAG,VTOT,KHLMDA,KFLMDA,ALFHP,PSIHP,T75IN,T1CIN,T1SIN,I- 9RING,ROTATE,FDROOP,FSWEEP,DEL4,DEL5 REAL MU,LAMDA,MTIP,IB,MASS,ITHETA,KPG,NUGC,NUGS,KPB,KFLAP,KLAG,LDA- 1MP,LDAMPC,MUY,MUZ,KHLMDA,KFLMDA INTEGER OPAERO,GIMBAL,OPMODE,HINGE,DEBUGR,OPUNIR,ROTATE COMMON /MODES/ETA(5,2,51),ETAP(5,2,51),ETAPP(5,2,51),NU(5),ZETA(3,- 151),ZETAP(3,51),WT(3),EFA(5,2),EFAP(5,2),EFAPP(5,2) REAL NU COMMON /BAERO/MQU(5),MQDZ(5),MQZ(5),MQL(5),MQDB(5),MQB(5),MQDQ(5,5- 1),MQQ(5,5),MQP(5,3),MMU,MDZ,MZ,ML,MDB,MB,MDQ(5),MQ(5),MP(3),TU,TDZ- 2,TZ,TL,TDB,TB,TDQ(5),TQ(5),TP(3),HU,HDZ,HZ,HL,HDB,HB,HDQ(5),HQ(5),- 3HP(3),QU,QDZ,QZ,QL,QDB,QB,QDQ(5),QQ(5),QP(3),RR,RU,RDZ,RZ,RL,RDB,R- 4B,RDQ(5),RQ(5),RP(3),MPU(3),MPDZ(3),MPZ(3),MPL(3),MPDB(3),MPB(3),M- 5PDQ(3,5),MPQ(3,5),MPP(3,3),MPDP(3,3),FZ0,FX0 REAL MQU,MQDZ,MQZ,MQL,MQDB,MQB,MQDQ,MQQ,MQP,MMU,MDZ,MZ,ML,MDB,MB,M- 1DQ,MQ,MP,MPU,MPDZ,MPZ,MPL,MPDB,MPB,MPDQ,MPQ,MPP,MPDP COMMON /BINERT/ I0,SQ(5,2),IQA(5,2),SPA(3,2),IDQA(5),IDQP(5),IQ(- 15),SQDDP(5,3),SQP(5,3),IQDQ(5,5),IP(3),SP(3,2),IPA(3,2),SPDDA(3),S- 2PDDQ(3,5),SPQ(3,5),IPDDP(3,3),IPP(3,3),XATOR(3,2,51),DXATOR(3,5,2,- 351),MASSB,IQDP(5),IDQA0 REAL MASSB,I0,IQA,IDQA,IDQP,IQ,IQDQ,IP,IPA,IPDDP,IPP,IQDP,IDQA0 COMMON /RCOEF/A2(30,30),A1(30,30),A0(30,30),AA2(30,6),AA1(30,6),AA- 10(30,6),B(30,8),BG(30,3),C2(6,30),C1(6,30),C0(6,30),CA2(6,6),CA1(6- 2,6),CA0(6,6),DG(6,3) DIMENSION ZERO(4236) EQUIVALENCE (ZERO(1),A2(1,1)) DO 1 I=1,4236 1 ZERO(I)=0. H=1./FLOAT(NBLD) DPSI=6.283185/FLOAT(NBLD) G=GAMMA/FLOAT(NBLD)*DENSER IRE=IFIX(ELAG*50.)+2 DO 4 JPSI=1,NBLD IF (OPTION .EQ. 0) PSIM=0. IF (OPTION .LT. 0) PSIM=FLOAT(JPSI)*DPSI IF (OPTION .GT. 0) PSIM=PSI CALL INERT(PSIM) DO 11 K=1,NBM C=IQ(K)*H A2(K,K)=A2(K,K)+C A1(K,K)=A1(K,K)+C*GQS(K)*NU(K) A0(K,K)=A0(K,K)+C*NU(K)**2 DO 13 I=1,NBM 13 A1(K,I)=A1(K,I)+(2.*IQDQ(K,I)+GLAG*ETAP(K,2,IRE)*ETAP(I,2,IRE))*H DO 15 I=1,NTM A2(K,I+15)=A2(K,I+15)-SQDDP(K,I)*H 15 A0(K,I+15)=A0(K,I+15)-SQP(K,I)*H 11 CONTINUE DO 18 K=1,NTM DO 19 I=1,NBM A2(K+15,I)=A2(K+15,I)-SPDDQ(K,I)*H A0(K+15,I)=A0(K+15,I)-SPQ(K,I)*H IF (K .EQ. 1) A0(K+15,I)=A0(K+15,I)+KPB(I)*IP(1)*WT(1)*H 19 CONTINUE C=IP(K)*H A2(K+15,K+15)=A2(K+15,K+15)+C A1(K+15,K+15)=A1(K+15,K+15)+C*GPS(K)*WT(K) A0(K+15,K+15)=A0(K+15,K+15)+C*WT(K)**2 IF (K .EQ. 1) B(16,1)=B(16,1)+C*WT(1)**2 DO 22 I=1,NTM A2(K+15,I+15)=A2(K+15,I+15)+IPDDP(K,I)*H 22 A0(K+15,I+15)=A0(K+15,I+15)+IPP(K,I)*H 18 CONTINUE CALL AERO(PSIM) DO 41 K=1,NBM DO 42 I=1,NBM A1(K,I)=A1(K,I)-G*MQDQ(K,I) 42 A0(K,I)=A0(K,I)-G*MQQ(K,I) DO 44 I=1,NTM 44 A0(K,I+15)=A0(K,I+15)-G*MQP(K,I) 41 CONTINUE DO 46 K=1,NTM DO 47 I=1,NBM A1(K+15,I)=A1(K+15,I)-G*MPDQ(K,I) 47 A0(K+15,I)=A0(K+15,I)-G*MPQ(K,I) DO 49 I=1,NTM A1(K+15,I+15)=A1(K+15,I+15)-G*MPDP(K,I) 49 A0(K+15,I+15)=A0(K+15,I+15)-G*MPP(K,I) 46 CONTINUE 4 CONTINUE RETURN END