Abstract

This paper proposes a computation technique to develop a simplified nonlinear model for a typical nuclear fuel assembly. Because more than a hundred fuel assemblies are packed in the reactor, simplistic model generation is critical to evaluate the motion during an anticipated event such as earthquake. Two straight beams are introduced to simplify the fuel assembly, and the beam properties are moderately defined to represent the skeleton structure and a bundle of slender fuel rods. Because nonlinearity is caused by the interaction between the rods and the spacer grids in the skeleton structure, the two beams are connected with multilinear joints that characterize the mechanical interaction between them. An equation of motion for the model is provided, and the degree of the freedom of the model can be reduced by using a few major modes of the beams. Significant mechanical parameters must be defined reasonably, so a method is proposed to identify unknown parameters through a deterministic calculation and an optimization process. All the information, including the identified parameters, are utilized to develop a nonlinear finite element model with a commercial code. The performance of the model is compared with the test results.

References

1.
Rosenberg
,
R. M.
,
1960
, “
Normal Modes of Nonlinear Dual-Mode Systems
,”
ASME J. Appl. Mech.
,
27
(
2
), pp.
263
268
.10.1115/1.3643948
2.
Mira
,
C.
,
1997
, “
Some Historical Aspects of Nonlinear Dynamics: Possible Trends for the Future
,”
Int. J. Bifurcation Chaos
,
7
(
9
), pp.
2145
2173
.10.1142/S0218127497001588
3.
Boswald
,
M.
, and
Link
,
M.
,
2004
, “
Identification of Non-Linear Joint Parameters by Using Frequency Response Residuals
,”
Proceedings of ISMA2004
, Leuven, Belgium, Sept., pp.
3121
3140
.
4.
Jalali
,
H.
,
Ahmadian
,
H.
, and
Mottershead
,
J. E.
,
2007
, “
Identification of Nonlinear Bolted Lap-Joint Parameters by Force-State Mapping
,”
Int. J. Solids Struct.
,
44
(
25–26
), pp.
8087
8105
.10.1016/j.ijsolstr.2007.06.003
5.
Bohm
,
G. J.
,
1977
, “
Seismic Behavior of Reactor Internals
,”
Transaction of the Fourth International Conference on Structural Mechanics in Reactor Technology
, San Francisco, CA, Aug. 15–19.
6.
Gupta
,
A.
, and
Choi
,
B.
,
2003
, “
Seismic Analysis of Coupled Primary-Secondary Systems: Effect of Uncertainties in Modal Properties
,”
Transaction of the 17th International Conference on Structural Mechanics in Reactor Technology
, Prague, Czech Republic, Aug. 17–22.https://repository.lib.ncsu.edu/bitstream/handle/1840.20/27358/k16-1.pdf?sequence=1
7.
Takemori
,
T.
, and
Hama
,
I.
,
1973
, “
Seismic Analysis of Reactor Containment Facility for PWR Plant
,”
Transaction of the Second International Conference on Structural Mechanics in Reactor Technology
, Berlin, Germany, Sept. 10–14.https://inis.iaea.org/search/search.aspx?orig_q=RN:5152659
8.
Kaliberda
,
Y. V.
,
2003
, “
Russian Regulatory Approaches to Seismic Design and Seismic Analysis of NPP Piping
,”
Transaction of the 17th International Conference on Structural Mechanics in Reactor Technology
, Prague, Czech Republic, Aug. 17–22.https://inis.iaea.org/collection/NCLCollectionStore/_Public/36/071/36071663.pdf
9.
Yoo
,
Y.
,
Kim
,
K.
,
Eom
,
K.
, and
Lee
,
S.
,
2019
, “
Finite Element Analysis of the Mechanical Behavior of a Nuclear Fuel Assembly Spacer Grid
,”
Nucl. Eng. Des.
,
352
, Paper No. 110179.10.1016/j.nucengdes.2019.110179
10.
Park
,
N.
,
Ha
,
D.
,
Kwon
,
O.
, and
Yoo
,
J.
,
2017
, “
Nonlinear Empirical Model to Simulate Displacement-Dependent Structural Behavior of a PWR Fuel Assembly
,”
Nucl. Eng. Des.
,
324
, pp.
10
17
.10.1016/j.nucengdes.2017.08.027
11.
Jang
,
Y. K.
,
Kim
,
J. W.
, and
Yoo
,
J. S.
,
2019
, “
Grid Width Growth Behaviors in Korean PWR Nuclear Fuels
,”
Top Fuel
, Sept. 22–26.
12.
Kim
,
K. T.
, and
Suh
,
J. M.
,
2009
, “
Impact of Fuel Assembly Design on Grid-to-Rod Fretting Wear
,”
J. Nucl. Sci. Technol.
,
46
(
2
), pp.
149
157
.10.1080/18811248.2007.9711516
13.
Fox
,
R. L.
, and
Kapoor
,
M. P.
,
1968
, “
Rate of Change of Eigenvalues and Eigenvectors
,”
AIAA
,
6
(
12
), pp.
2426
2429
.10.2514/3.5008
14.
Lee
,
I.
,
Jung
,
G.
, and
Lee
,
J.
,
1996
, “
Numerical Method for Sensitivity Analysis of Eigensystems With Nonrepeated and Repeated Eigenvalues
,”
J. Sound Vib.
,
195
(
1
), pp.
17
32
.10.1006/jsvi.1996.9989
15.
Steidel
,
R. F.
,
1989
,
An Introduction to Mechanical Vibrations
,
Wiley
, New York.
16.
Rodrigues
,
H.
,
Varum
,
H.
,
Arêde
,
A.
, and
Costa
,
A.
,
2012
, “
A Comparative Analysis of Energy Dissipation and Equivalent Viscous Damping of RC Columns Subjected to Uniaxial and Biaxial Loading
,”
Eng. Struct.
,
35
, pp.
149
164
.10.1016/j.engstruct.2011.11.014
17.
Heitz
,
T.
,
Giry
,
C.
,
Richard
,
B.
, and
Ragueneau
,
F.
,
2017
, “
How Are the Equivalent Damping Ratios Modified by Nonlinear Engineering Demand Parameters?
,”
Sixth ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering
, Rhodes Island, Greece, June 15–17, pp.
15
17
.10.7712/120117.5573.17531
You do not currently have access to this content.