VM-NR1677-02-4

VM-NR1677-02-4
NUREG/CR-1677: Volume 2, Benchmark Problem No. 4

Overview

Reference:

NUREG/CR-1677 Volume II Piping Benchmark Problems, Dynamic Analysis Independent Support Motion Response Spectrum Method, P. Bezler, M. Subudhi & M. Hartzman of Brookhaven National Laboratory, prepared for the U.S. Nuclear Regulatory Commission, August 1985, Problem 1, pages 244-445.

Analysis Type(s):
Modal analysis (ANTYPE = 2)
Spectral analysis (ANTYPE = 8)
Element Type(s):
Spring-Damper Elements (COMBIN14)
Structural Mass Elements (MASS21)
3D 3-Noded Pipe Elements (PIPE289)
3D 3-Noded Elbow Elements (ELBOW290)
Input Listing:

Test Case

For test case description, problem sketch, material properties, geometry properties and loadings refer to

VM-NR1677-02-4-a

Results Comparison

Table 137: Frequencies Obtained from Modal Solution

ModeFrequency
12.632
22.917
34.570
44.708
55.749
65.893
77.465
87.871
910.011
1010.276
1110.738
1210.979
1312.433
1412.624
1513.328
1613.977
1714.495
1814.760
1915.512
2015.739
2116.198
2216.908
2317.324
2417.391
2517.596
2618.757
2719.068
2820.121
2921.592
3022.318
3122.465
3222.734
3324.195
3425.335
3526.565
3626.736
3727.103
3827.665
3928.827
4031.297
4131.604
4232.254
4332.491
4435.629
4536.756
4637.032
4737.310
4838.070
4939.199
5040.345

Case 1: Envelope Spectrum Excitation

Table 138: Maximum Displacements and Rotations Obtained from Spectrum Solve

Result_NodeValue
UX at node470 0.861
UY at node2430.934
UZ at node425 1.094
ROTX at node172 6.277E-3
ROTY at node217 9.708E-3
ROTZ at node1277.817E-3

Table 139: Element Forces and Moments Obtained from Spectrum Solve

ResultMAPDL
Element 1
PX(I)2060.2
VY(I)3667.3
VZ(I)2519.6
TX(I)0.102E6
MY(I)0.2327E6
MZ(I)0.339E6
 
PX(J) 2060.2
VY(J) 3667.3
VZ(J) 2519.6
TX(J) 0.109E6
MY(J) 0.1979E6
MZ(J)0.280E6
Element 240
PX(I) 2139.4
VY(I) 453.13
VZ(I) 606.39
TX(I) 25478.0
MY(I) 31215.0
MZ(I) 0.2113E6
 
PX(J) 2074.1
VY(J) 695.83
VZ(J) 605.22
TX(J) 16315.0
MY(J) 36765.0
MZ(J)0.2108E6

Case 2: Independent Support Excitation with Absolute Sum Combination

Table 140: Maximum Displacements and Rotations Obtained from Spectrum Solve

Result_NodeValue
UX at node470 0.687
UY at node243 0.743
UZ at node425 0.975
ROTX at node208 5.212E-3
ROTY at node217 7.822E-3
ROTZ at node1755.041E-3

Table 141: Element Forces and Moments Obtained from Spectrum Solve

Result MAPDL
Element 1
PX(I)1987.6
VY(I)2907.200
VZ(I)2203.500
TX(I)81008
MY(I)0.209E6
MZ(I)0.272E6
 
PX(J) 1987.6
VY(J) 2907.200
VZ(J) 2203.500
TX(J) 81008
MY(J) 0.177E6
MZ(J)0.225E6
Element 240
PX(I) 1750.2
VY(I) 373.22
VZ(I) 428.82
TX(I) 20977.0
MY(I) 25553.0
MZ(I) 0.1683E6
 
PX(J) 1707.7
VY(J) 536.86
VZ(J) 427.36
TX(J) 13449.0
MY(J) 30221.0
MZ(J)0.1679E6

Note:  PX (I) and PX (J) = Section axial force at node I and J

VY (I) and VY (J) = Section shear forces along Y direction at node I and J

VZ (I) and VZ (J) = Section shear forces along Z direction at node I and J

TX (I) and TX (J) = Section torsional moment at node I and J

MY (I) and MY (J) = Section bending moments along Y direction at node I and J

MZ (I) and MZ (J) = Section bending moments along Z direction at node I and J