/COM,ANSYS MEDIA REL. 2024R2 (05/10/2024) REF. VERIF. MANUAL: REL. 2024R2
/verify,vm-nr6645-1-2a-a
/title,vm-nr6645-1-2a-a,NRC Piping Benchmark Problems,Volume 1,Method 2
/com,****************************************************************************
/com,
/com, Reference: Reevaluation of Regulatory Guidance
/com, on modal response combination methods
/com, for seismic response spectrum analysis
/com, NUREG/CR-6645
/com, R.Morante, Y.Wang
/com, December 1999.
/com,
/com, Description:
/com, Response spectrum analysis on BM3 piping model using 14 modes + missing mass
/com, Lindley yow rigid response calculation
/com,
/com,
/com, Elements used: Pipe16, Pipe18 and Combin14
/com,
/com, Results comparsion:
/com, The following results are compared against NRC piping benchmark values
/com, 1. Frequencies obtained from modal solution.
/com, 2. Reaction forces obtained from spectrum solution. SRSS, 1% damping
/com,
/com, Note:
/com, The reaction moments are not compared since the rotational degrees of
/com, freedom for curved pipe elements are not included in the lumped mass
/com, matrix formulation.
/com,
/com,****************************************************************************
/out,scratch
/prep7
youngmodulus = 2.9e+7 ! Young's modulus
nu = 0.3 ! Poisson ratio
shearmodulus = youngmodulus/(2*(1+nu)) ! Shear modulus
et,1,pipe16 ! Pipe 16
r,1,3.500,0.2160 ! Outer dia, wall thickness
mp,ex,1,youngmodulus ! Material properties
mp,nuxy,1,nu
mp,gxy,1,shearmodulus
mp,dens,1,1.043e-3
et,2,pipe16 ! Pipe 16
r,2,4.500,0.2370 ! Outer dia, wall thickness
mp,ex,2,youngmodulus ! Material properties
mp,nuxy,2,nu
mp,gxy,2,shearmodulus
mp,dens,2,1.107e-03
et,3,pipe16 ! Pipe 16
r,3,8.625,0.3220 ! Outer dia, wall thickness
mp,ex,3,youngmodulus ! Material properties
mp,nuxy,3,nu
mp,gxy,3,shearmodulus
mp,dens,3,1.253e-3
et,4,pipe18 ! Pipe 18
r,4,3.500,0.2160,4.500 ! Outer dia, wall thickness, radius of curvature
mp,ex,4,youngmodulus ! Material properties
mp,nuxy,4,nu
mp,gxy,4,shearmodulus
mp,dens,4,1.043e-3
et,5,pipe18 ! Pipe 18
r,5,4.500,0.2370,6.000 ! Outer dia, wall thickness, radius of curvature
mp,ex,5,youngmodulus ! Material properties
mp,nuxy,5,nu
mp,gxy,5,shearmodulus
mp,dens,5,1.107e-3
et,6,pipe18 ! Pipe 18
r,6,8.625,0.3220,12.000 ! Outer dia, wall thickness, radius of curvature
mp,ex,6,youngmodulus ! Material properties
mp,nuxy,6,nu
mp,gxy,6,shearmodulus
mp,dens,6,1.253e-3
et,7,combin14 ! COMBIN14 spring-damper element
keyopt,7,2,1 ! Longitudinal spring damper element (UX DOF)
r,7,1.0e+5 ! Spring constant
et,8,combin14 ! COMBIN14 spring-damper element
keyopt,8,2,2 ! Longitudinal spring damper element (UY DOF)
r,8,1.0e+8 ! Spring constant
et,9,combin14 ! COMBIN14 spring-damper element
keyopt,9,2,3 ! Longitudinal spring damper element (Uz DOF)
r,9,1.0e+11 ! Spring constant
et,10,combin14 ! COMBIN14 spring-damper element
keyopt,10,2,4 ! Torsional spring damper element (ROTX DOF)
r,10,1.0e+20 ! Spring constant
et,11,combin14 ! COMBIN14 spring-damper element
keyopt,11,2,5 ! Torsional spring damper element (ROTY DOF)
r,11,1.0e+20 ! Spring constant
et,12,combin14 ! COMBIN14 spring-damper element
keyopt,12,2,6 ! Torsional spring damper element (ROTZ DOF)
r,12,1.0e+20 ! Spring constant
/com, ********************
/com, Nodes
/com, ********************
n, 1,
n, 2, 15.000,
n, 3, 19.500, -4.500
n, 4, 19.500, -180.000
n, 5, 19.500, -199.500
n, 6, 19.500, -204.000, 4.500
n, 7, 19.500, -204.000, 139.500
n, 8, 24.000, -204.000, 144.000
n, 9, 96.000, -204.000, 144.000
n, 10, 254.000, -204.000, 144.000
n, 11, 333.000, -204.000, 144.000
n, 12, 411.000, -204.000, 144.000
n, 13, 483.000, -204.000, 144.000
n, 14, 487.500, -204.000, 148.500
n, 15, 487.500, -204.000, 192.000
n, 16, 487.500, -204.000, 235.500
n, 17, 492.000, -204.000, 240.000
n, 18, 575.000, -204.000, 240.000
n, 19, 723.000, -204.000, 240.000
n, 20, 727.500, -208.500, 240.000
n, 21, 727.500, -264.000, 240.000
n, 22, 727.500, -264.000, 205.000
n, 23, 727.500, -264.000, 190.000
n, 24, 733.500, -264.000, 184.000
n, 25, 753.500, -264.000, 184.000
n, 26, 845.500, -264.000, 184.000
n, 27, 851.500, -264.000, 178.000
n, 28, 851.500, -264.000, 160.000
n, 29, 851.500, -264.000, 142.000
n, 30, 851.500, -270.000, 136.000
n, 31, 851.500, -360.000, 136.000
n, 32, 727.500, -264.000, 255.000
n, 33, 727.500, -264.000, 270.000
n, 34, 727.500, -264.000, 306.000
n, 35, 727.500, -264.000, 414.000
n, 36, 739.500, -264.000, 426.000
n, 37, 847.500, -264.000, 426.000
n, 38, 955.500, -264.000, 426.000
/com, ********************
/com, Nodes for curvature
/com, ********************
n, 203, 15.000, -4.500
n, 506, 19.500, -199.500, 4.500
n, 708, 24.000, -204.000, 139.500
n,1314, 483.000, -204.000, 148.500
n,1617, 492.000, -204.000, 235.500
n,1920, 723.000, -208.500, 240.000
n,2324, 733.500, -264.000, 190.000
n,2627, 845.500, -264.000, 178.000
n,2930, 851.500, -270.000, 142.000
n,3536, 739.500, -264.000, 414.000
/com, ***************************
/com, Nodes for elastic support
/com, ****************************
dist = 50.0 ! Visualization
n,10001, -dist
n,20001, , dist
n,30001, , , -dist
n,10004, 19.500+dist, -180.000
n,30004, 19.500 , -180.000 , -dist
n,20007, 19.500 , -204.000+dist, 139.500
n,20011, 333.000 , -204.000+dist, 144.000
n,30011, 333.000 , -204.000 , 144.000-dist
n,10015, 487.500-dist, -204.000 , 192.000
n,20017, 492.000 , -204.000-dist, 240.000
n,30017, 492.000 , -204.000 , 240.000-dist
n,10023, 727.500-dist, -264.000 , 190.000
n,20023, 727.500 , -264.000+dist, 190.000
n,10031, 851.500+dist, -360.000 , 136.000
n,20031, 851.500 , -360.000-dist, 136.000
n,30031, 851.500 , -360.000 , 136.000-dist
n,20036, 739.500 , -264.000-dist, 426.000
n,30036, 739.500 , -264.000 , 426.000-dist
n,10038, 955.500+dist, -264.000 , 426.000
n,20038, 955.500 , -264.000-dist, 426.000
n,30038, 955.500 , -264.000 , 426.000-dist
/com, *************************
/com, Straight pipe elements
/com, *************************
type,1
real,1
mat,1
e, 1, 2
e, 3, 4
e, 4, 5
e, 6, 7
e, 8, 9
e, 9,10
e,10,11
e,11,12
e,12,13
e,14,15
e,15,16
e,17,18
e,18,19
e,20,21
type,2
real,2
mat,2
e,21,22
e,22,23
e,24,25
e,25,26
e,27,28
e,28,29
e,30,31
type,3
real,3
mat,3
e,21,32
e,32,33
e,33,34
e,34,35
e,36,37
e,37,38
/com, ********************
/com, Curved pipe elements
/com, *********************
type,4
real,4
mat,4
e,2,3,203
e,5,6,506
e,7,8,708
e,13,14,1314
e,16,17,1617
e,19,20,1920
type,5
real,5
mat,5
e,23,24,2324
e,26,27,2627
e,29,30,2930
type,6
real,6
mat,6
e,35,36,3536
/com, ****************************
/com, Elastic supports and anchors
/com, ****************************
type,7
real,8
e, 4,10004
real,7
e,15,10015
e,23,10023
real,9
e, 1,10001
e,31,10031
e,38,10038
type,8
real,8
e, 7,20007
e,11,20011
e,17,20017
e,23,20023
e,36,20036
real,9
e, 1,20001
e,31,20031
e,38,20038
type,9
real,8
e, 4,30004
real,7
e,11,30011
e,17,30017
e,36,30036
real,9
e, 1,30001
e,31,30031
e,38,30038
type,10
real,10
e, 1,10001
e,31,10031
e,38,10038
type,11
real,10
e, 1,20001
e,31,20031
e,38,20038
type,12
real,10
e, 1,30001
e,31,30031
e,38,30038
/com, ***************
/com, Constraints
/com, ***************
nsel,s,node,,10000,40000
d,all,all,0
allsel,all
fini
/com, ****************
/com, Modal analysis
/com, ****************
/solu
antype,modal
modopt,lanb,14
lumpm,on
mxpand,14,,,yes
solve
save
*dim,label,,14
*dim,freq_ans,,14 ! Frequencies obtained from Mechanical APDL
*dim,freq_exp,,14 ! Frequencies obtained from reference
*dim,freq_err,,14
*do,i,1,14
label(i) = i
*enddo
*do,i,1,14
*get,freq_ans(i),mode,i,freq
*enddo
*vfill,freq_exp,data,2.91,4.39,5.52,5.70,6.98,7.34,7.88,10.30,11.06,11.23
*vfill,freq_exp(11),data,11.50,12.43,13.88,16.12
*stat,freq_ans
*stat,freq_exp
*do,i,1,14
freq_err(i) = abs(freq_ans(i))/(freq_exp(i))
*enddo
save,table_1
fini
/com, **********************
/com, Spectrum analysis
/com, **********************
/solu
antype,spectrum
spopt,sprs,, ! Single point response spectrum solve
svtyp,2,386.4 ! Seismic acceleration response
srss,0.001,disp ! SRSS mode combination, displacement solution
sed,1,0,0 ! Excitation in X direction
freq , 0.20, 0.30, 0.40, 0.50, 0.60, 0.70, 0.80, 0.90, 1.00
sv, 0.01, 0.06, 0.13, 0.13, 0.20, 0.35, 0.39, 0.37, 0.41, 0.76
freq , 1.10, 1.20, 1.30, 1.40, 1.50, 1.60, 1.70, 1.80, 1.90
sv, 0.01, 0.64, 0.59, 0.91, 1.03, 1.46, 0.95, 0.91, 1.61, 1.92
freq , 2.00, 2.10, 2.20, 2.30, 2.40, 2.50, 2.60, 2.70, 2.80
sv, 0.01, 1.57, 1.18, 2.65, 2.85, 3.26, 4.47, 4.75, 5.29, 7.44
freq , 2.90, 3.00, 3.15, 3.30, 3.45, 3.60, 3.80, 4.00, 4.20
sv, 0.01, 4.27, 4.61, 4.13, 3.96, 4.05, 2.44, 2.09, 2.29, 1.52
freq , 4.40, 4.60, 4.80, 5.00, 5.25, 5.50, 5.75, 6.00, 6.25
sv, 0.01, 1.34, 1.37, 1.36, 1.31, 1.69, 1.27, 1.04, 0.76, 0.76
freq , 6.50, 6.75, 7.00, 7.25, 7.50, 7.75, 8.00, 8.50, 9.00
sv, 0.01, 0.69, 0.70, 0.74, 0.70, 0.67, 0.66, 0.61, 0.75, 0.60
freq , 9.50,10.00,10.50,11.00,11.50,12.00,12.50,13.00,13.50
sv, 0.01, 0.69, 0.61, 0.70, 0.59, 0.61, 0.56, 0.59, 0.59, 0.59
freq ,14.00,14.50,15.00,16.00,17.00,18.00,20.00,22.00,25.00
sv, 0.01, 0.58, 0.59, 0.58, 0.55, 0.56, 0.55, 0.55, 0.55, 0.54
freq ,28.00,31.00,34.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00
sv, 0.01, 0.54, 0.54, 0.54, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00
mmass,on,0.54 ! Missing mass with ZPA = 0.54
rigresp,on,lindley,0.54 ! Rigid response using Lindley approach
solve
save
fini
/post1
/input,,mcom
/com, *************************************
/com, Reaction forces obtained from Mechanical APDL
/com, *************************************
*get,rf1_x,node,10001,rf,fx
*get,rf1_y,node,20001,rf,fy
*get,rf1_z,node,30001,rf,fz
*get,rf4_x,node,10004,rf,fx
*get,rf4_z,node,30004,rf,fz
*get,rf7_y,node,20007,rf,fy
*get,rf11_y,node,20011,rf,fy
*get,rf11_z,node,30011,rf,fz
*get,rf15_x,node,10015,rf,fx
*get,rf17_y,node,20017,rf,fy
*get,rf17_z,node,30017,rf,fz
*get,rf36_y,node,20036,rf,fy
*get,rf36_z,node,30036,rf,fz
*get,rf38_x,node,10038,rf,fx
*get,rf38_y,node,20038,rf,fy
*get,rf38_z,node,30038,rf,fz
*get,rf23_x,node,10023,rf,fx
*get,rf23_y,node,20023,rf,fy
*get,rf31_x,node,10031,rf,fx
*get,rf31_y,node,20031,rf,fy
*get,rf31_z,node,30031,rf,fz
*dim,label,char,1,21
*dim,value,,21,3
label(1,1) = 'fx1'
label(1,2) = 'fy1'
label(1,3) = 'fz1'
label(1,4) = 'fx4'
label(1,5) = 'fz4'
label(1,6) = 'fy7'
label(1,7) = 'fy11'
label(1,8) = 'fz11'
label(1,9) = 'fx15'
label(1,10) = 'fy17'
label(1,11) = 'fz17'
label(1,12) = 'fy36'
label(1,13) = 'fz36'
label(1,14) = 'fx38'
label(1,15) = 'fy38'
label(1,16) = 'fz38'
label(1,17) = 'fx23'
label(1,18) = 'fy23'
label(1,19) = 'fx31'
label(1,20) = 'fy31'
label(1,21) = 'fz31'
/com, ******************************************
/com, Reaction forces obtained from NRC
/com, ******************************************
*vfill,value(1,1),data,43.71*1.06
*vfill,value(2,1),data,4.36*0.85
*vfill,value(3,1),data,1.60*2.21
*vfill,value(4,1),data,116.79*0.80
*vfill,value(5,1),data,20.01*1.81
*vfill,value(6,1),data,13.27*1.05
*vfill,value(7,1),data,13.31*1.14
*vfill,value(8,1),data,81.34*0.87
*vfill,value(9,1),data,731.47*0.81
*vfill,value(10,1),data,25.60*1.42
*vfill,value(11,1),data,65.36*0.97
*vfill,value(12,1),data,46.69*1.35
*vfill,value(13,1),data,42.12*1.28
*vfill,value(14,1),data,732.18*1.05
*vfill,value(15,1),data,43.44*1.10
*vfill,value(16,1),data,29.95*1.27
*vfill,value(17,1),data,259.59*1.32
*vfill,value(18,1),data,26.08*2.14
*vfill,value(19,1),data,55.05*1.02
*vfill,value(20,1),data,14.17*1.26
*vfill,value(21,1),data,16.08*1.43
*vfill,value(1,2),data,rf1_x
*vfill,value(2,2),data,rf1_y
*vfill,value(3,2),data,rf1_z
*vfill,value(4,2),data,rf4_x
*vfill,value(5,2),data,rf4_z
*vfill,value(6,2),data,rf7_y
*vfill,value(7,2),data,rf11_y
*vfill,value(8,2),data,rf11_z
*vfill,value(9,2),data,rf15_x
*vfill,value(10,2),data,rf17_y
*vfill,value(11,2),data,rf17_z
*vfill,value(12,2),data,rf36_y
*vfill,value(13,2),data,rf36_z
*vfill,value(14,2),data,rf38_x
*vfill,value(15,2),data,rf38_y
*vfill,value(16,2),data,rf38_z
*vfill,value(17,2),data,rf23_x
*vfill,value(18,2),data,rf23_y
*vfill,value(19,2),data,rf31_x
*vfill,value(20,2),data,rf31_y
*vfill,value(21,2),data,rf31_z
*vfill,value(1,3),data,abs(rf1_x/(43.71*1.06))
*vfill,value(2,3),data,abs(rf1_y/(4.36*0.85))
*vfill,value(3,3),data,abs(rf1_z/(1.60*2.21))
*vfill,value(4,3),data,abs(rf4_x/(116.79*0.90))
*vfill,value(5,3),data,abs(rf4_z/(20.01*1.81))
*vfill,value(6,3),data,abs(rf7_y/(13.27*1.05))
*vfill,value(7,3),data,abs(rf11_y/(13.31*1.14))
*vfill,value(8,3),data,abs(rf11_z/(81.34*0.87))
*vfill,value(9,3),data,abs(rf15_x/(731.47*0.81))
*vfill,value(10,3),data,abs(rf17_y/(25.60*1.42))
*vfill,value(11,3),data,abs(rf17_z/(65.36*0.97))
*vfill,value(12,3),data,abs(rf36_y/(46.69*1.35))
*vfill,value(13,3),data,abs(rf36_z/(42.12*1.28))
*vfill,value(14,3),data,abs(rf38_x/(732.18*1.05))
*vfill,value(15,3),data,abs(rf38_y/(43.44*1.10))
*vfill,value(16,3),data,abs(rf38_z/(29.95*1.27))
*vfill,value(17,3),data,abs(rf23_x/(259.59*1.32))
*vfill,value(18,3),data,abs(rf23_y/(26.08*2.14))
*vfill,value(19,3),data,abs(rf31_x/(55.05*1.02))
*vfill,value(20,3),data,abs(rf31_y/(14.17*1.26))
*vfill,value(21,3),data,abs(rf31_z/(16.08*1.43))
save,table_2
finish
resume,table_1
/com,
/out,vm-nr6645-1-2a-a,vrt
/com,
/com,
/com, ----------------------vm-nr6645-1-2a-a Results comparsion-------------------------
/com,
/com,
/com,
/com, | TARGET | Mechanical APDL | RATIO
/com,
/com,
/com, ==================================
/com, Frequencies from Modal analysis
/com, ==================================
*vwrite,label(1),freq_exp(1),freq_ans(1),freq_err(1)
(1x,f3.0,4x,f10.4,4x,f10.4,4x,F5.3)
/com,
/com,
/nopr,
resume,table_2
/gopr
/com,
/com,
/com, ==============================================
/com, Reaction forces obtained from Spectrum solve
/com, ==============================================
/com,
*vwrite,label(1,1),value(1,1),value(1,2),value(1,3)
(1x,a8,' ',f10.4,' ',f10.4,' ',f5.3)
*vwrite,label(1,2),value(2,1),value(2,2),value(2,3)
(1x,a8,' ',f10.4,' ',f10.4,' ',f5.3)
*vwrite,label(1,3),value(3,1),value(3,2),value(3,3)
(1x,a8,' ',f10.4,' ',f10.4,' ',f5.3)
*vwrite,label(1,4),value(4,1),value(4,2),value(4,3)
(1x,a8,' ',f10.4,' ',f10.4,' ',f5.3)
*vwrite,label(1,5),value(5,1),value(5,2),value(5,3)
(1x,a8,' ',f10.4,' ',f10.4,' ',f5.3)
*vwrite,label(1,6),value(6,1),value(6,2),value(6,3)
(1x,a8,' ',f10.4,' ',f10.4,' ',f5.3)
*vwrite,label(1,7),value(7,1),value(7,2),value(7,3)
(1x,a8,' ',f10.4,' ',f10.4,' ',f5.3)
*vwrite,label(1,8),value(8,1),value(8,2),value(8,3)
(1x,a8,' ',f10.4,' ',f10.4,' ',f5.3)
*vwrite,label(1,9),value(9,1),value(9,2),value(9,3)
(1x,a8,' ',f10.4,' ',f10.4,' ',f5.3)
*vwrite,label(1,10),value(10,1),value(10,2),value(10,3)
(1x,a8,' ',f10.4,' ',f10.4,' ',f5.3)
*vwrite,label(1,11),value(11,1),value(11,2),value(11,3)
(1x,a8,' ',f10.4,' ',f10.4,' ',f5.3)
*vwrite,label(1,12),value(12,1),value(12,2),value(12,3)
(1x,a8,' ',f10.4,' ',f10.4,' ',f5.3)
*vwrite,label(1,13),value(13,1),value(13,2),value(13,3)
(1x,a8,' ',f10.4,' ',f10.4,' ',f5.3)
*vwrite,label(1,14),value(14,1),value(14,2),value(14,3)
(1x,a8,' ',f10.4,' ',f10.4,' ',f5.3)
*vwrite,label(1,15),value(15,1),value(15,2),value(15,3)
(1x,a8,' ',f10.4,' ',f10.4,' ',f5.3)
*vwrite,label(1,16),value(16,1),value(16,2),value(16,3)
(1x,a8,' ',f10.4,' ',f10.4,' ',f5.3)
*vwrite,label(1,17),value(17,1),value(17,2),value(17,3)
(1x,a8,' ',f10.4,' ',f10.4,' ',f5.3)
*vwrite,label(1,18),value(18,1),value(18,2),value(18,3)
(1x,a8,' ',f10.4,' ',f10.4,' ',f5.3)
*vwrite,label(1,19),value(19,1),value(19,2),value(19,3)
(1x,a8,' ',f10.4,' ',f10.4,' ',f5.3)
*vwrite,label(1,20),value(20,1),value(20,2),value(20,3)
(1x,a8,' ',f10.4,' ',f10.4,' ',f5.3)
*vwrite,label(1,21),value(21,1),value(21,2),value(21,3)
(1x,a8,' ',f10.4,' ',f10.4,' ',f5.3)
/nopr,
/com,
/com,
/com, ---------------------------------------------------------------------------
/out,
*list,vm-nr6645-1-2a-a,vrt
finish
