/COM,ANSYS MEDIA REL. 2024R2 (05/10/2024) REF. VERIF. MANUAL: REL. 2024R2 /VERIFY,VM254 /TITLE, VM254, CAMPBELL DIAGRAMS AND CRITICAL SPEEDS USING SYMMETRIC ORTHOTROPIC BEARINGS /COM, REF: "THE DYNAMICS OF ROTOR-BEARING SYSTEMS USING FINITE ELEMENTS" /COM, JOURNAL OF ENG. FOR INDUSTRY - MAY 1976, PG: 598-600 C*** USING PIPE16 /COM /OUT,SCRATCH /PREP7 *DIM,SPIN,,6 ! SPIN VELOCITY (RPM) SPIN(1) = 1000. SPIN(2) = 20000. SPIN(3) = 40000. SPIN(4) = 60000. SPIN(5) = 80000. SPIN(6) = 100000. RO = 7806 ! MATERIAL : STEEL PEX = 2.078E+11 PGXY = 1.E+14 ! NO SHEAR MP,EX,1,PEX MP,PRXY,1,0.3 MP,DENS,1,RO MP,GXY,1,PGXY ET,1,PIPE16 ! ELEMENT TYPE # 1: SHAFT NBDIAM = 18 ! SHAFT SECTION PROPERTIES *DIM,DIAM,ARRAY,NBDIAM DIAM(1) = 1.02E-2 DIAM(2) = 2.04E-2 DIAM(3) = 1.52E-2 DIAM(4) = 4.06E-2 DIAM(5) = DIAM(4) DIAM(6) = 6.6E-2 DIAM(7) = DIAM(6) DIAM(8) = 5.08E-2 DIAM(9) = DIAM(8) DIAM(10) = 2.54E-2 DIAM(11) = DIAM(10) DIAM(12) = 3.04E-2 DIAM(13) = DIAM(12) DIAM(14) = 2.54E-2 DIAM(15) = DIAM(14) DIAM(16) = 7.62E-2 DIAM(17) = 4.06E-2 DIAM(18) = DIAM(17) *DO,I,1,NBDIAM R,I,DIAM(I),DIAM(I)/2 *ENDDO R,7,DIAM(7),(DIAM(7)-3.04E-2)/2 R,8,DIAM(8),(DIAM(8)-3.56E-2)/2 R,18,DIAM(18),(DIAM(18)-3.04E-2)/2 ET,2,MASS21 ! ELEMENT TYPE # 2: MASS R,20,1.401,1.401,1.401,0.002,0.00136,0.00136 ET,3,COMBI214 ! ELEMENT TYPE # 3: BEARING ELEMENT KEYOPT,3,2,1 ! YZ PLANE KEYOPT,3,3,0 ! ELEMENT IS SYMMETRIC R,30,3.503E+7,3.503E+7,-8.756E+6,-8.756E+6,, ! REAL CONSTANTS ( K11,K22,K12,K21) NO DAMPING ET,4,COMBI214 KEYOPT,4,2,1 ! YZ PLANE KEYOPT,4,3,0 ! ELEMENT IS SYMMETRIC R,40,3.503E+7,3.503E+7,-8.756E+6,-8.756E+6,, ! REAL CONSTANTS ( K11,K22,K12,K21) NO DAMPING /COM, NODES N,1 ,0. N,2 ,1.27E-2 N,3 ,5.08E-2 N,4 ,7.62E-2 N,5 ,8.89E-2 N,6 ,10.16E-2 N,7 ,10.67E-2 N,8 ,11.43E-2 N,9 ,12.7E-2 N,10,13.46E-2 N,11,16.51E-2 N,12,19.05E-2 N,13,22.86E-2 N,14,26.67E-2 N,15,28.7E-2 N,16,30.48E-2 N,17,31.5E-2 N,18,34.54E-2 N,19,35.5E-2 BRG = 0.1 ! BEARING "LENGTH" FOR VISUALISATION N,20,16.51E-2,BRG N,22,28.7E-2,BRG /COM, ELEMENTS /COM, SHAFT TYPE,1 MAT,1 *DO,I,1,NBDIAM REAL,I E,I,I+1 *ENDDO /COM, DISK TYPE,2 REAL,20 E,5 /COM, BEARINGS TYPE,3 REAL,30 E,11,20 TYPE,4 REAL,40 E,15,22 ALLSEL,ALL FINI /SOLU D,ALL,UX ! NO TRACTION AND TORSION D,ALL,ROTX D,20,ALL ! SECOND NODES OF BEARING D,22,ALL /COM, MODAL RATIO = 4*ATAN(1)/30 ANTYPE,MODAL CORIOLIS,ON,,,ON NBF = 20 MODOPT,DAMP,NBF,,,ON *DO,I,1,6 OMEGA,SPIN(I)*RATIO ! UNIT FOR OMEGA IS RAD/SEC MXPAND,NBF SOLVE *ENDDO FINI /POST1 /OUT, PRCAMP,,1.,RPM PLCAMP,,1.,RPM *GET,F1,CAMP,1,FREQ,6 *GET,F2,CAMP,2,FREQ,6 *GET,F3,CAMP,3,FREQ,6 *GET,F4,CAMP,4,FREQ,6 *DIM,LABEL,CHAR,1,4 *DIM,VALUE,ARRAY,4,3 LABEL(1,1) = 'WHIRL BW' LABEL(1,2) = 'WHIRL FW' LABEL(1,3) = 'WHIRL BW' LABEL(1,4) = 'WHIRL FW' *VFILL,VALUE(1,1),DATA,10747 *VFILL,VALUE(1,2),DATA,F1*60 *VFILL,VALUE(1,3),DATA,ABS((F1*60)/10747) *VFILL,VALUE(2,1),DATA,19665 *VFILL,VALUE(2,2),DATA,F2*60 *VFILL,VALUE(2,3),DATA,ABS((F2*60)/19665) *VFILL,VALUE(3,1),DATA,39077 *VFILL,VALUE(3,2),DATA,F3*60 *VFILL,VALUE(3,3),DATA,ABS((F3*60)/39077) *VFILL,VALUE(4,1),DATA,47549 *VFILL,VALUE(4,2),DATA,F4*60 *VFILL,VALUE(4,3),DATA,ABS((F4*60)/47549) SAVE,TABLE_1 FINI /CLEAR,NOSTART !********************************************************************* C*** USING PIPE288 /OUT,SCRATCH /PREP7 *DIM,SPIN,,6 ! SPIN VELOCITY (RPM) SPIN(1) = 1000. SPIN(2) = 20000. SPIN(3) = 40000. SPIN(4) = 60000. SPIN(5) = 80000. SPIN(6) = 100000. RO = 7806 ! MATERIAL : STEEL PEX = 2.078E+11 PGXY = 1.E+14 ! NO SHEAR MP,EX,1,PEX MP,PRXY,1,0.3 MP,DENS,1,RO MP,GXY,1,PGXY ET,1,PIPE288 ! ELEMENT TYPE # 1: SHAFT KEYOPT,1,3,3 KEYOPT,1,4,2 NBDIAM = 18 ! SHAFT SECTION PROPERTIES *DIM,DIAM,ARRAY,NBDIAM DIAM(1) = 1.02E-2 DIAM(2) = 2.04E-2 DIAM(3) = 1.52E-2 DIAM(4) = 4.06E-2 DIAM(5) = DIAM(4) DIAM(6) = 6.6E-2 DIAM(7) = DIAM(6) DIAM(8) = 5.08E-2 DIAM(9) = DIAM(8) DIAM(10) = 2.54E-2 DIAM(11) = DIAM(10) DIAM(12) = 3.04E-2 DIAM(13) = DIAM(12) DIAM(14) = 2.54E-2 DIAM(15) = DIAM(14) DIAM(16) = 7.62E-2 DIAM(17) = 4.06E-2 DIAM(18) = DIAM(17) *DO,I,1,NBDIAM SECTYPE,I,PIPE SECDATA,DIAM(I),DIAM(I)/2 *ENDDO SLIST SECTYPE,7,PIPE SECDATA,DIAM(7),(DIAM(7)-3.04E-2)/2 SECTYPE,8,PIPE SECDATA,DIAM(8),(DIAM(8)-3.56E-2)/2 SECTYPE,18,PIPE SECDATA,DIAM(18),(DIAM(18)-3.04E-2)/2 ET,2,MASS21 ! ELEMENT TYPE # 2: MASS R,20,1.401,1.401,1.401,0.002,0.00136,0.00136 ET,3,COMBI214 ! ELEMENT TYPE # 3: BEARING ELEMENT KEYOPT,3,2,1 ! YZ PLANE KEYOPT,3,3,0 ! ELEMENT IS SYMMETRIC R,30,3.503E+7,3.503E+7,-8.756E+6,-8.756E+6,, ! REAL CONSTANTS ( K11,K22,K12,K21) NO DAMPING ET,4,COMBI214 KEYOPT,4,2,1 ! YZ PLANE KEYOPT,4,3,0 ! ELEMENT IS SYMMETRIC R,40,3.503E+7,3.503E+7,-8.756E+6,-8.756E+6,, ! REAL CONSTANTS ( K11,K22,K12,K21) NO DAMPING /COM, NODES N,1 ,0. N,2 ,1.27E-2 N,3 ,5.08E-2 N,4 ,7.62E-2 N,5 ,8.89E-2 N,6 ,10.16E-2 N,7 ,10.67E-2 N,8 ,11.43E-2 N,9 ,12.7E-2 N,10,13.46E-2 N,11,16.51E-2 N,12,19.05E-2 N,13,22.86E-2 N,14,26.67E-2 N,15,28.7E-2 N,16,30.48E-2 N,17,31.5E-2 N,18,34.54E-2 N,19,35.5E-2 BRG = 0.1 ! BEARING "LENGTH" FOR VISUALISATION N,20,16.51E-2,BRG N,22,28.7E-2,BRG /COM, ELEMENTS /COM, SHAFT TYPE,1 MAT,1 *DO,I,1,NBDIAM SECNUM,I E,I,I+1 *ENDDO /COM, DISK TYPE,2 REAL,20 E,5 /COM, BEARINGS TYPE,3 REAL,30 E,11,20 TYPE,4 REAL,40 E,15,22 ALLSEL,ALL FINI /SOLU D,ALL,UX ! NO TRACTION AND TORSION D,ALL,ROTX D,20,ALL ! SECOND NODES OF BEARING D,22,ALL /COM, MODAL RATIO = 4*ATAN(1)/30 ANTYPE,MODAL CORIOLIS,ON,,,ON NBF = 10 MODOPT,QRDAMP,NBF,,,ON *DO,I,1,6 OMEGA,SPIN(I)*RATIO ! UNIT FOR OMEGA IS RAD/SEC MXPAND,NBF SOLVE *ENDDO FINI /POST1 /OUT, PRCAMP,,1.,RPM,,,,, PLCAMP,,1.,RPM,,,,, *GET,F1,CAMP,1,FREQ,6 *GET,F2,CAMP,2,FREQ,6 *GET,F3,CAMP,3,FREQ,6 *GET,F4,CAMP,4,FREQ,6 *DIM,LABEL,CHAR,1,4 *DIM,VALUE,ARRAY,4,3 LABEL(1,1) = 'WHIRL BW' LABEL(1,2) = 'WHIRL FW' LABEL(1,3) = 'WHIRL BW' LABEL(1,4) = 'WHIRL FW' *VFILL,VALUE(1,1),DATA,10747 *VFILL,VALUE(1,2),DATA,F1*60 *VFILL,VALUE(1,3),DATA,ABS((F1*60)/10747) *VFILL,VALUE(2,1),DATA,19665 *VFILL,VALUE(2,2),DATA,F2*60 *VFILL,VALUE(2,3),DATA,ABS((F2*60)/19665) *VFILL,VALUE(3,1),DATA,39077 *VFILL,VALUE(3,2),DATA,F3*60 *VFILL,VALUE(3,3),DATA,ABS((F3*60)/39077) *VFILL,VALUE(4,1),DATA,47549 *VFILL,VALUE(4,2),DATA,F4*60 *VFILL,VALUE(4,3),DATA,ABS((F4*60)/47549) SAVE,TABLE_2 FINI /CLEAR,NOSTART /NOPR /COM /OUT,vm254,vrt /COM,------------ VM254 RESULTS COMPARISON -------------- /COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, RESUME,TABLE_1 /COM,USING PIPE16 /COM, *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.4,' ',F14.4,' ',F15.3) *VWRITE,LABEL(1,2),VALUE(2,1),VALUE(2,2),VALUE(2,3) (1X,A8,' ',F10.4,' ',F14.4,' ',F15.3) *VWRITE,LABEL(1,3),VALUE(3,1),VALUE(3,2),VALUE(3,3) (1X,A8,' ',F10.4,' ',F14.4,' ',F15.3) *VWRITE,LABEL(1,4),VALUE(4,1),VALUE(4,2),VALUE(4,3) (1X,A8,' ',F10.4,' ',F14.4,' ',F15.3) /COM, RESUME,TABLE_2 /COM,USING PIPE288 /COM, *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.4,' ',F14.4,' ',F15.3) *VWRITE,LABEL(1,2),VALUE(2,1),VALUE(2,2),VALUE(2,3) (1X,A8,' ',F10.4,' ',F14.4,' ',F15.3) *VWRITE,LABEL(1,3),VALUE(3,1),VALUE(3,2),VALUE(3,3) (1X,A8,' ',F10.4,' ',F14.4,' ',F15.3) *VWRITE,LABEL(1,4),VALUE(4,1),VALUE(4,2),VALUE(4,3) (1X,A8,' ',F10.4,' ',F14.4,' ',F15.3) /COM, /COM,---------------------------------------------------------- /OUT, FINISH *LIST,vm254,vrt