Abstract

The independent support motion (ISM) response spectrum method is currently used in seismic analysis to calculate the response of piping systems subjected to independent excitations at several points of a supporting structure. This approach leads to considerable overestimation when the maximum responses by multiple excitations are combined by the absolute sum rule, while this may result in underestimation when the maximum responses by the multiple excitations are combined by the square root of sum of squares rule. Then authors have developed an advanced method of the ISM approach named SATH (spectrum method assisted by time history analysis). In the SATH method, both floor response spectra and time histories of floor acceleration are used as independent inputs of support excitations. The information of the mode shapes, frequencies, and damping values for the supporting structure is not necessary. The maximum responses by multiple excitations are combined using correlation coefficients calculated by taking into account each time history of modal response due to independent inputs of support excitations. In this paper, it was confirmed that the SATH method has the advantage to derive a more realistic rule for combining the maximum responses by multiple excitations, and that it can be easily applied to the actual design as a response spectrum method.

References

1.
Kasawara
,
R. P.
, and
Peck
,
D. A.
,
1973
, “
Dynamic Analysis of Structural Systems Excited at Multiple Support Locations
,”
ASCE Second Specialty Conference on Structural Design of Nuclear Plant Facilities
, Chicago, IL, Dec. 17–18, pp.
73
88
.https://cedb.asce.org/CEDBsearch/record.jsp?dockey=0264074
2.
Clough
,
R. W.
, and
Penzien
,
J.
,
1975
,
Dynamics of Structures
,
McGraw-Hill
, New York.
3.
Kurihara
,
C.
, and
Sakurai
,
A.
,
1977
, “
Earthquake Response Spectrum Analysis for Multi-Input Systems by Response Spectrum Method (1. Theory and Basic Relations for Application)
,” CRIEPI, Chiba, Japan, Report, No. 377002 (in Japanese).
4.
Chiba
,
T.
,
Koyanagi
,
R.
,
Ogawa
,
N.
, and
Minowa
,
C.
,
1987
, “
An Experimental Study of the Multiple Support Piping Systems
,” Ninth International Conference on Structural Mechanics in Reactor Technology (
SMiRT
), Lausanne, Switzerland, Aug. 17–21, pp.
975
980
.https://inis.iaea.org/search/search.aspx?orig_q=RN:19055558
5.
Kai
,
S.
,
Watakabe
,
T.
,
Kaneko
,
N.
,
Tochiki
,
K.
,
Tsukimori
,
K.
, and
Otani
,
A.
,
2018
, “
Study on Piping Seismic Response Under Multiple Excitation
,”
ASME J. Pressure Vessel Technol.
,
140
(
3
), pp.
1
16
.10.1115/1.4039453
6.
ASME,
2021
, “
ASME B&PV CODE Section III, Division 1, Appendix N, N-1227 Multiple-Input Response Spectra Analysis and N-1228 Multiple Time History Excitations
,
ASME
,”
American Society of Mechanical Engineers
,
New York
.
7.
Vashi
,
K. M.
,
1975
, “
Seismic Spectral Analysis of Structural Systems Subject of Non-Uniform Excitation at Supports
,”
Second ASCE Specialty Conference on Structural Design of Nuclear Power Plant Facilities
, New Orleans, LA, Dec. 8–10, pp.
188
211
.https://cedb.asce.org/CEDBsearch/record.jsp?dockey=0025076
8.
Shaw
,
D. E.
,
1975
, “
Seismic Structural Response Analysis for Multiple Support Excitation
,” Third International Conference on Structural Mechanics in Reactor Technology (
SMiRT
), London, UK, Sept. 1–5, pp. K7/3 1–8
.https://inis.iaea.org/search/search.aspx?orig_q=RN:8338189
9.
Thailer
,
H. J.
,
1976
, “
Spectral Analysis of Complex Systems Supported at Several Elevations
,”
ASME J. Pressure Vessel Technol.
,
98
(
2
), pp.
162
165
.10.1115/1.3454354
10.
Subudhi
,
M.
,
Bezler
,
P.
,
Wang
,
Y. K.
, and
Alforque
,
R.
,
1984
, “
Alternate Procedures for the Seismic Analysis of Multiply Supported Piping Systems
,” U.S. Nuclear Regulatory Commission, Washington, DC, Report No. NUREG/CR-3811.
11.
U.S. NRC
,
1984
, “
Report of the U.S. Nuclear Regulatory Commission Piping Review Committee, Volume 4: Evaluation of Other Loads and Load Combinations
,” U.S. Nuclear Regulatory Commission, Washington, DC, Report No. NUREG-1061.
12.
Suzuki
,
K.
, and
Sone
,
A.
,
1989
, “
A Load Combination Method for Aseismic Design of Multiple Supported Piping Systems
,”
ASME J. Pressure Vessel Technol.
,
111
(
1
), pp.
10
16
.10.1115/1.3265633
13.
Asfura
,
A.
, and
Kiureghian
,
A. D.
,
1986
, “
Floor Response Spectrum Method for Seismic Analysis of Multiply Supported Secondary Systems
,”
Earthquake Eng. Struct. Dyn.
,
14
(
2
), pp.
245
265
.10.1002/eqe.4290140206
14.
U.S. NRC
, 2007, “
Standard Review Plan for the Review of Safety Analysis Reports for Nuclear Power Plants: LWR Edition
,” NRC, Washington, DC, Standard No.
NUREG-0800
NUREG-0800.https://www.nrc.gov/docs/ML0923/ML092330826.pdf
15.
Rosenblueth
,
E.
, and
Elorduy
,
J.
,
1969
, “
Responses of Linear Systems to Certain Transient Disturbances
,”
Proceedings of the Fourth World Conference on Earthquake Engineering
, Santiago, Chile, Jan. 13–18, pp.
185
196
.https://www.nrc.gov/docs/ML0608/ML060860419.pdf
16.
Kiureghian
,
A. D.
,
1981
, “
A Response Spectrum Method for Random Vibration Analysis of MDF Systems
,”
Earthquake Eng. Struct. Dyn.
,
9
(
5
), pp.
419
435
.10.1002/eqe.4290090503
17.
Morante
,
R.
, and
Wang
,
Y.
,
1999
, “
Reevaluation of Regulatory Guidance on Modal Response Combination Method for Seismic Response Spectrum Analysis
,” U.S. Nuclear Regulatory Commission, Washington, DC, Report No.
NUREG/CR-6645
.https://www.nrc.gov/docs/ML0037/ML003724092.pdf
18.
Bezler
,
P.
,
Subudhi
,
M.
, and
Hartzman
,
M.
,
1985
, “
Piping Benchmark Problems Dynamic Analysis Independent Support Motion Response Spectrum Method
,” U.S. Nuclear Regulatory Commission, Washington, DC, Report No.
NUREG/CR-1677
.https://www.osti.gov/biblio/5337014-piping-benchmark-problems-dynamic-analysis-independentsupport-motion-response-spectrum-method
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