/COM,ANSYS MEDIA REL. 2024R2 (05/10/2024) REF. VERIF. MANUAL: REL. 2024R2
/VERIFY,VM319
/COM, REF: A. GROLET, F. THOUVEREZ, 2011
/COM, "VIBRATION ANALYSIS OF A NONLINEAR SYSTEM WITH CYCLIC SYMMETRY.",
/COM, JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER, ASME, 2011, 133 (2)
/COM,
/TITLE, VM319, NONLINEAR HARMONIC ANALYSIS OF A CYCLIC CHAIN OF OSCILLATORS
/OUT,vm319_scratch
/COM, ***** EXCITATION AMPLITUDE = 1/8
/COM, MODEL PARAMETERS
PI = ACOS(-1)
SCAL_TO_MM = 1e3
MASS = 1.0/SCAL_TO_MM ! UNIT MASS
ALP = 8.7662E3/SCAL_TO_MM
BET = 4.6752E7/SCAL_TO_MM**3
C = 148.36/SCAL_TO_MM
OMG0 = SQRT(ALP*SCAL_TO_MM)
DELTA = OMG0/200/SCAL_TO_MM
AF = 1/8
/COM, MULTISTAGE CYCLIC PARAMETERS
NSEC = 6
ALP_SEC = 360/NSEC
HI = 0
/COM, HARMONIC BALANCE METHOD PARAMETERS
OMGS = 90
OMGE = 100
FMIN = OMGS/(2*PI)
FMAX = OMGE/(2*PI)
DS = 0.20
DSMIN = DS/100
DSMAX = 5*DS
NH = 3
/COM, CUBIC SPRING USER ELEMENT PARAMETERS
NNOD = 2 ! number of nodes
NDIM = 3 ! dimension
NNREAL = 5 ! number of REAL constants
NSAVEVARS = 0 ! number of saved variables (internal)
NRSLTVAR = 2 ! number of NMISC items
KEYANSMAT = 3 ! element characteristics key: non-linear and working in nodal CS
K1 = BET
KP1 = 3
/PREP7
csys,1
/COM, GEOMETRY AND MESH
ET,1,MASS21
KEYO,1,3,2
R,1,MASS
ET,2,300
KEYOPT,2,1,2
TYPE,2
USRELEM, NNOD, NDIM, LINE, NNREAL, NSAVEVARS, NRSLTVAR, KEYANSMAT
USRDOF,DEFINE, UY
R,2,,K1,KP1
ET,3,COMBIN14
KEYO,3,2,2
R,3,ALP,DELTA
R,4,2*C ! MULTIPLIED BY 2 BECAUSE WE HAVE TWO SPRINGS IN A ROW INSTEAD OF ONE
N,1 ,1
N,2, 1 ,-ALP_SEC/4
N,3 ,1 ,-ALP_SEC/2
N,4 ,1 , ALP_SEC/2
NROTAT,ALL
TYPE,1
REAL,1
E,1
TYPE,3
REAL,3
E, 1, 2
REAL,4
E, 1,3
E, 1,4
TYPE,2
REAL,2
E, 1, 2
/COM, MULTISTAGE CONSTRAINT EQUATIONS DEFINITION
NSEL,ALL
ESEL,ALL
CM,_STAGE_BASE_NOD,NODE
CM,_STAGE_BASE_ELM,ELEM
NSEL,S,NODE,,3
CM,_STAGE_CYCLOW_NOD,NODE
ALLSEL
NSEL,S,NODE,,4
CM,_STAGE_CYCHIGH_NOD,NODE
ALLSEL
MSOPT,NEW,STAGE,NSEC,HI
CECYCMS
FINISH
SAVE,AMPL_1_8
/SOLU
ANTYPE,HARMIC
/COM, HBM OPTIONS
HROPT,HBM,NH
HARFRQ,FMIN,FMAX
HBMOPT,CONTSET,,DS,DSMIN,DSMAX
HBMOPT,NR,10
HBMOPT,AFT,1,32
/COM, BOUNDARY CONDITIONS AND LOADING
D,1,UX
D,1,UZ
D,2,ALL
F,1,FY,AF ! HARMONIC 1 LOADING
SOLVE
FINISH
/com, HBM POST-PROCESSING
/POST26
NUMVAR,40
*GET,JOBN,ACTIVE,,JOBNAM
FILE,%JOBN%_1hi0,rst ! HARMONIC 1 RESULTS
NSOL,2,1,U,Y
STORE
FILE,%JOBN%_3hi0,rst ! HARMONIC 3 RESULTS
NSOL,3,1,U,Y
STORE
ABS,12,2 ! |A1|
ABS,13,3 ! |A3|
PROD,22,12,12 ! |A1|**2
PROD,23,13,13 ! |A3|**2
ADD,30,22,23 ! |A1|**2+|A3|**2
SQRT,31,30 ! E=SQRT(|A1|**2+|A3|**2)
PROD,11,1,,,,,,2*PI
XVAR,11
/GMARKER,1,4
/AXLAB,X,FREQUENCY (RAD/S)
/AXLAB,Y,RMS AMPLITUDE (MM)
/XRANGE,90,100
/YRANGE,0.0,3.0
PLVAR,31
/SHOW,CLOSE
*GET,FMAX ,VARI,31,EXTREM,TMAX
*GET,AMPLMAX,VARI,31,EXTREM,VMAX
OMGMAX = 2*PI*FMAX
*DIM,LABEL,CHAR,1,2
LABEL(1,1) = 'OMG_MAX'
LABEL(1,2) = 'AMPL_MAX'
*DIM,VALUE,ARRAY,2,3
VALUE(1,1) = 95.09 ! REFERENCE VALUES
VALUE(2,1) = 2.80
VALUE(1,2) = OMGMAX ! TEST VALUES
VALUE(2,2) = AMPLMAX
VALUE(1,3) = OMGMAX/95.09 ! RATIO
VALUE(2,3) = AMPLMAX/2.80
FINISH
SAVE,TABLE_1_8
/CLEAR,NOSTART
/TITLE, VM319, NONLINEAR HARMONIC ANALYSIS OF A CYCLIC CHAIN OF OSCILLATORS
RESUME,AMPL_1_8
/COM, ***** EXCITATION AMPLITUDE = 1/4
AF = 1/4
/SOLU
ANTYPE,HARMIC
/COM, HBM OPTIONS
HROPT,HBM,NH
HARFRQ,FMIN,FMAX
HBMOPT,CONTSET,,DS,DSMIN,DSMAX
HBMOPT,NR,10
HBMOPT,AFT,1,32
/COM, BOUNDARY CONDITIONS AND LOADING
D,1,UX
D,1,UZ
D,2,ALL
F,1,FY,AF ! HARMONIC 1 LOADING
SOLVE
FINISH
/com, HBM POST-PROCESSING
/POST26
NUMVAR,40
*GET,JOBN,ACTIVE,,JOBNAM
FILE,%JOBN%_1hi0,rst ! HARMONIC 1 RESULTS
NSOL,2,1,U,Y
STORE
FILE,%JOBN%_3hi0,rst ! HARMONIC 3 RESULTS
NSOL,3,1,U,Y
STORE
ABS,12,2 ! |A1|
ABS,13,3 ! |A3|
PROD,22,12,12 ! |A1|**2
PROD,23,13,13 ! |A3|**2
ADD,30,22,23 ! |A1|**2+|A3|**2
SQRT,31,30 ! E=SQRT(|A1|**2+|A3|**2)
PROD,11,1,,,,,,2*PI
XVAR,11
/GMARKER,1,4
/AXLAB,X,FREQUENCY (RAD/S)
/AXLAB,Y,RMS AMPLITUDE (MM)
/XRANGE,90,100
/YRANGE,0.0,6.0
PLVAR,31
/SHOW,CLOSE
*GET,FMAX ,VARI,31,EXTREM,TMAX
*GET,AMPLMAX,VARI,31,EXTREM,VMAX
OMGMAX = 2*PI*FMAX
*DIM,LABEL,CHAR,1,2
LABEL(1,1) = 'OMG_MAX'
LABEL(1,2) = 'AMPL_MAX'
*DIM,VALUE,ARRAY,2,3
VALUE(1,1) = 98.95 ! REFERENCE VALUES
VALUE(2,1) = 5.41
VALUE(1,2) = OMGMAX ! TEST VALUES
VALUE(2,2) = AMPLMAX
VALUE(1,3) = OMGMAX/98.95 ! RATIO
VALUE(2,3) = AMPLMAX/5.41
FINISH
SAVE,TABLE_1_4
/CLEAR,NOSTART
/NOPR
/OUT,vm319,vrt
/COM,------------ VM319 RESULTS COMPARISON --------------
/COM,
RESUME,TABLE_1_8
/COM,
/COM, ---------------------------------------
/COM, EXCITATION AMPLITUDE = 1/8
/COM, ---------------------------------------
/COM,
/COM, | TARGET | MECHANICAL APDL | RATIO
/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)
/COM, --------------------------------------------------
/COM,
/COM,
RESUME,TABLE_1_4
/COM,
/COM, ---------------------------------------
/COM, EXCITATION AMPLITUDE = 1/4
/COM, ---------------------------------------
/COM,
/COM, | TARGET | MECHANICAL APDL | RATIO
/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)
/COM, --------------------------------------------------
/OUT
*LIST,vm319,vrt
