Application of Response Spectrum Analysis of Multiply Supported System, with the Multi-Directional Excitations and Residual Rigid Response

Koichi Tai

doi:doi:10.11648/j.ajetm.20210603.11

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Application of Response Spectrum Analysis of Multiply Supported System, with the Multi-Directional Excitations and Residual Rigid Response

Koichi Tai

Published in American Journal of Engineering and Technology Management (Volume 6, Issue 3)

Received: 21 April 2021 Accepted: 11 May 2021 Published: 20 May 2021

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Abstract

In the seismic design of equipment and piping systems, it seems that the precise response spectrum analysis method of multiply supported systems with good accuracy does not spread, though there are many multiply supported systems which subject the different earthquake excitations. The Standard Review Plan 3.7.1 in the United States, for example, recommends that the seismic response of each support point be combined by the absolute sum. However, this leads to excessive conservative seismic response, and there is a problem in the analytical accuracy. Then, this paper presents a basic equation of motion of a multiply supported systems considering correlation between modes and seismic excitation directions and residual rigid response of a multiply supported system receiving three-directional earthquake excitations of X, Y and Z. The correlation of the multiply supported system response is applied to the CCFS method based on the sophisticated random vibration theory by Kiureghian, the residual rigid response is based on the missing mass method on the Regulatory Guide 1.92 Rev.2, and the synthesis method of the multi-directional earthquake excitations is based on our previous work, The purpose of this paper is to present a precise analytical evaluation formula for the multiple response spectrum analysis method and to hope to promote the improvement of the design guidelines for multiply supported equipment and piping systems.

Published in	American Journal of Engineering and Technology Management (Volume 6, Issue 3)
DOI	10.11648/j.ajetm.20210603.11
Page(s)	28-34
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2021. Published by Science Publishing Group

Keywords

Multiply Supported System, CCFS Method, ISM Method, Residual Rigid Response, Multi-Directional Excitations

References

[1]	NRC Standard Review Plan 3.7.1, Seismic design parameters, rev. 4, August (2014).
[2]	Asfura, A. and Kiureghian, A. D., Floor response spectrum method for seismic analysis of multiply supported secondary systems, Earthquake Engineering and Structural Dynamics, Vol. 14 (1986), pp. 245-265.
[3]	Regulatory Guide 1.92, Rev. 3, U. S. Nuclear Regulatory Commission, Oct. 2012
[4]	ASCE/SEI 4-16, Seismic analysis of safety-related nuclear structures, American Society of Civil Engineering, 2016
[5]	Tai, K., Sato, K. and Maeda, E., Application of cross-oscillator, cross-floor response spectrum method of multiply supported systems, considering the correlations between three directional earthquake excitations, Trans. of JSME, Paper Vol. 83, No. 854, 2017, (in Japanese)
[6]	Kiureghian, A. D., Structural response to the stationary excitation, Journal of the Engineering Mechanics Division, ASCE (1980).
[7]	Regulatory Guide 1.92, Rev. 2, U. S. Nuclear Regulatory
[8]	Tai, K., Sasajima, K., Fukushima, S., Takamura, N. and Onishi, S., Development of an evaluation method for seismic isolation systems of nuclear power facilities (part 2), application of CCFS method to the multiply supported system, ASME PVP2014-28999 (2014).
[9]	NUREG-1061, Report of the U. S. nuclear regulatory commission piping review committee; vol. 4 evaluation of other loads and load combinations, U. S. Nuclear RegulatoryCommission, Dec. (1984).
[10]	ASME PVRC, WRC Bulletin 352, Independent support motion (ISM) method of modal spectra seismic analysis (1990).
[11]	Tai, K., Maeda, E., and Sato, K., Correlation of seismic responses with multi-directional excitations, Annual meeting of JSME 2016, Paper J1010104 (2016), (in Japanese).
[12]	Tai, K., Sasajima, K., Fukushima, S., Takamura, N. and Onishi, S., Development of an evaluation method for seismic isolation systems of nuclear power facilities, Seismic design analysis methods for crossover piping system, Annual meeting of JSME 2014 Paper J1010102 (2014) (in Japanese).
[13]	Tai, K., Maeda, E., The effects of residual rigid response for seismic design of equipment and piping system, JSME cmd 2014, Paper 2305, (2014), (in Japanese).
[14]	Takahashi, H., Tai, K., Application of modal time history design analysis method for multiple excitation problem, JSME cmd 2014, Paper 2306, (2014), (in Japanese).
[15]	Hirouchi, S., Tai, K., Application of CCFS design analysis method for multiple excitation problem, JSME cmd 2014, Paper 2307, (2014), (in Japanese).

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APA Style

Koichi Tai. (2021). Application of Response Spectrum Analysis of Multiply Supported System, with the Multi-Directional Excitations and Residual Rigid Response. American Journal of Engineering and Technology Management, 6(3), 28-34. https://doi.org/10.11648/j.ajetm.20210603.11

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ACS Style

Koichi Tai. Application of Response Spectrum Analysis of Multiply Supported System, with the Multi-Directional Excitations and Residual Rigid Response. Am. J. Eng. Technol. Manag. 2021, 6(3), 28-34. doi: 10.11648/j.ajetm.20210603.11

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AMA Style

Koichi Tai. Application of Response Spectrum Analysis of Multiply Supported System, with the Multi-Directional Excitations and Residual Rigid Response. Am J Eng Technol Manag. 2021;6(3):28-34. doi: 10.11648/j.ajetm.20210603.11

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@article{10.11648/j.ajetm.20210603.11,
  author = {Koichi Tai},
  title = {Application of Response Spectrum Analysis of Multiply Supported System, with the Multi-Directional Excitations and Residual Rigid Response},
  journal = {American Journal of Engineering and Technology Management},
  volume = {6},
  number = {3},
  pages = {28-34},
  doi = {10.11648/j.ajetm.20210603.11},
  url = {https://doi.org/10.11648/j.ajetm.20210603.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajetm.20210603.11},
  abstract = {In the seismic design of equipment and piping systems, it seems that the precise response spectrum analysis method of multiply supported systems with good accuracy does not spread, though there are many multiply supported systems which subject the different earthquake excitations. The Standard Review Plan 3.7.1 in the United States, for example, recommends that the seismic response of each support point be combined by the absolute sum. However, this leads to excessive conservative seismic response, and there is a problem in the analytical accuracy. Then, this paper presents a basic equation of motion of a multiply supported systems considering correlation between modes and seismic excitation directions and residual rigid response of a multiply supported system receiving three-directional earthquake excitations of X, Y and Z. The correlation of the multiply supported system response is applied to the CCFS method based on the sophisticated random vibration theory by Kiureghian, the residual rigid response is based on the missing mass method on the Regulatory Guide 1.92 Rev.2, and the synthesis method of the multi-directional earthquake excitations is based on our previous work, The purpose of this paper is to present a precise analytical evaluation formula for the multiple response spectrum analysis method and to hope to promote the improvement of the design guidelines for multiply supported equipment and piping systems.},
 year = {2021}
}

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TY  - JOUR
T1  - Application of Response Spectrum Analysis of Multiply Supported System, with the Multi-Directional Excitations and Residual Rigid Response
AU  - Koichi Tai
Y1  - 2021/05/20
PY  - 2021
N1  - https://doi.org/10.11648/j.ajetm.20210603.11
DO  - 10.11648/j.ajetm.20210603.11
T2  - American Journal of Engineering and Technology Management
JF  - American Journal of Engineering and Technology Management
JO  - American Journal of Engineering and Technology Management
SP  - 28
EP  - 34
PB  - Science Publishing Group
SN  - 2575-1441
UR  - https://doi.org/10.11648/j.ajetm.20210603.11
AB  - In the seismic design of equipment and piping systems, it seems that the precise response spectrum analysis method of multiply supported systems with good accuracy does not spread, though there are many multiply supported systems which subject the different earthquake excitations. The Standard Review Plan 3.7.1 in the United States, for example, recommends that the seismic response of each support point be combined by the absolute sum. However, this leads to excessive conservative seismic response, and there is a problem in the analytical accuracy. Then, this paper presents a basic equation of motion of a multiply supported systems considering correlation between modes and seismic excitation directions and residual rigid response of a multiply supported system receiving three-directional earthquake excitations of X, Y and Z. The correlation of the multiply supported system response is applied to the CCFS method based on the sophisticated random vibration theory by Kiureghian, the residual rigid response is based on the missing mass method on the Regulatory Guide 1.92 Rev.2, and the synthesis method of the multi-directional earthquake excitations is based on our previous work, The purpose of this paper is to present a precise analytical evaluation formula for the multiple response spectrum analysis method and to hope to promote the improvement of the design guidelines for multiply supported equipment and piping systems.
VL  - 6
IS  - 3
ER  -

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Author Information

Koichi Tai

Technical Consultant, Permanent Member of Japan Society of Mechanical Engineers, Kobe, Japan

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Plain Text BibTeX RIS

APA Style

Koichi Tai. (2021). Application of Response Spectrum Analysis of Multiply Supported System, with the Multi-Directional Excitations and Residual Rigid Response. American Journal of Engineering and Technology Management, 6(3), 28-34. https://doi.org/10.11648/j.ajetm.20210603.11

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ACS Style

Koichi Tai. Application of Response Spectrum Analysis of Multiply Supported System, with the Multi-Directional Excitations and Residual Rigid Response. Am. J. Eng. Technol. Manag. 2021, 6(3), 28-34. doi: 10.11648/j.ajetm.20210603.11

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AMA Style

Koichi Tai. Application of Response Spectrum Analysis of Multiply Supported System, with the Multi-Directional Excitations and Residual Rigid Response. Am J Eng Technol Manag. 2021;6(3):28-34. doi: 10.11648/j.ajetm.20210603.11

Copy | Download

@article{10.11648/j.ajetm.20210603.11,
  author = {Koichi Tai},
  title = {Application of Response Spectrum Analysis of Multiply Supported System, with the Multi-Directional Excitations and Residual Rigid Response},
  journal = {American Journal of Engineering and Technology Management},
  volume = {6},
  number = {3},
  pages = {28-34},
  doi = {10.11648/j.ajetm.20210603.11},
  url = {https://doi.org/10.11648/j.ajetm.20210603.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajetm.20210603.11},
  abstract = {In the seismic design of equipment and piping systems, it seems that the precise response spectrum analysis method of multiply supported systems with good accuracy does not spread, though there are many multiply supported systems which subject the different earthquake excitations. The Standard Review Plan 3.7.1 in the United States, for example, recommends that the seismic response of each support point be combined by the absolute sum. However, this leads to excessive conservative seismic response, and there is a problem in the analytical accuracy. Then, this paper presents a basic equation of motion of a multiply supported systems considering correlation between modes and seismic excitation directions and residual rigid response of a multiply supported system receiving three-directional earthquake excitations of X, Y and Z. The correlation of the multiply supported system response is applied to the CCFS method based on the sophisticated random vibration theory by Kiureghian, the residual rigid response is based on the missing mass method on the Regulatory Guide 1.92 Rev.2, and the synthesis method of the multi-directional earthquake excitations is based on our previous work, The purpose of this paper is to present a precise analytical evaluation formula for the multiple response spectrum analysis method and to hope to promote the improvement of the design guidelines for multiply supported equipment and piping systems.},
 year = {2021}
}

Copy | Download

TY  - JOUR
T1  - Application of Response Spectrum Analysis of Multiply Supported System, with the Multi-Directional Excitations and Residual Rigid Response
AU  - Koichi Tai
Y1  - 2021/05/20
PY  - 2021
N1  - https://doi.org/10.11648/j.ajetm.20210603.11
DO  - 10.11648/j.ajetm.20210603.11
T2  - American Journal of Engineering and Technology Management
JF  - American Journal of Engineering and Technology Management
JO  - American Journal of Engineering and Technology Management
SP  - 28
EP  - 34
PB  - Science Publishing Group
SN  - 2575-1441
UR  - https://doi.org/10.11648/j.ajetm.20210603.11
AB  - In the seismic design of equipment and piping systems, it seems that the precise response spectrum analysis method of multiply supported systems with good accuracy does not spread, though there are many multiply supported systems which subject the different earthquake excitations. The Standard Review Plan 3.7.1 in the United States, for example, recommends that the seismic response of each support point be combined by the absolute sum. However, this leads to excessive conservative seismic response, and there is a problem in the analytical accuracy. Then, this paper presents a basic equation of motion of a multiply supported systems considering correlation between modes and seismic excitation directions and residual rigid response of a multiply supported system receiving three-directional earthquake excitations of X, Y and Z. The correlation of the multiply supported system response is applied to the CCFS method based on the sophisticated random vibration theory by Kiureghian, the residual rigid response is based on the missing mass method on the Regulatory Guide 1.92 Rev.2, and the synthesis method of the multi-directional earthquake excitations is based on our previous work, The purpose of this paper is to present a precise analytical evaluation formula for the multiple response spectrum analysis method and to hope to promote the improvement of the design guidelines for multiply supported equipment and piping systems.
VL  - 6
IS  - 3
ER  -

Copy | Download