Paper:
Study on Advanced Seismic Performance Evaluation Methods for Building Equipment –Development of Fragility Function and Verification Using Full-Scale Experiment—
Ryota Nishi*,, Jun Fujiwara*
, Koichi Kajiwara*, Kazuki Takaya**
, Eiki Shigeta***, and Tatsuya Asai**
*Hyogo Earthquake Engineering Research Center, National Research Institute for Earth Science and Disaster Resilience (NIED)
1501-21 Nishikameya, Mitsuda, Shijimicho, Miki, Hyogo 673-0515, Japan
Corresponding author
**Institute of Industrial Science, The University of Tokyo
Tokyo, Japan
***Graduate School of Environmental Studies, Nagoya University
Nagoya, Japan
To maintain the functionality of a building, it is crucial to understand the seismic behavior of its equipment and evaluate its seismic performance accurately. To enhance the precision of seismic performance evaluations, it is necessary to expand the fragility data for building equipment. This study explores a method for developing a fragility function based on the seismic design force specified in design guidelines. Using risk integrals, the study assesses the relationship between acceleration and damage probability, derived from earthquake damage surveys, to calculate the damage risk for building equipment designed and constructed according to Japanese design standards. The fragility function is then derived by analyzing the damage probability when the response acceleration exceeds the design acceleration. Additionally, through a comparative verification with shake table test results from a full-scale 10-story steel office building, the authors confirm the consistency between the derived fragility functions and experimental results. This approach is expected to improve the accuracy of predicting building equipment seismic behavior and provide more reliable seismic performance evaluations.
- [1] Architectural Institute of Japan, “Guidelines for safety measures against accidental fall of ceilings and other non-structural components,” 2015 (in Japanese).
- [2] J. Silva, “Seismic design requirements for nonstructural components,” Proc. of Structures Congress 2010, American Society of Civil Engineers, pp. 2247-2257, 2010. https://doi.org/10.1061/41130(369)203
- [3] National Institute for Land and Infrastructure Management, “Report on field surveys and subsequent investigations of building damage following the 2011 off the Pacific coast of Tohoku Earthquake,” Technical Note, No.674, 2012 (in Japanese).
- [4] K. Suzuki, “Earthquake damage to industrial facilities and development of seismic and vibration control technology,” J. of System Design and Dynamics, Vol.2, No.1, pp. 2-11, 2008. https://doi.org/10.1299/jsdd.2.2
- [5] T. Nishino, “Post-earthquake building services downtime distribution: a case study of the 2016 Kumamoto, Japan, earthquake,” Architecture, Structures and Construction, Vol.4, pp. 227-240, 2024. https://doi.org/10.1007/s44150-024-00113-3
- [6] W. E. McKevitt, P. A. M. Timler, and K. K. Lo, “Nonstructural damage from the Northridge Earthquake,” Canadian J. of Civil Engineering, Vol.22, No.2, 1995. https://doi.org/10.1139/l95-051
- [7] E. Miranda, G. Mosqueda, R. Retamales, and G. Pekcan, “Performance of nonstructural components during the 27 February 2010 Chile earthquake,” Earthquake Spectra, Vol.28, Supplement 1, pp. 453-471, 2012. https://doi.org/10.1193/1.4000032
- [8] S. Taghavi and E. Miranda, “Response assessment of nonstructural building elements,” PEER Report 2003-05, Pacific Earthquake Engineering Research Center, University of California, Berkeley, 2003.
- [9] Japan Association for Earthquake Engineering, “Performance-Based Seismic Design: Current Status and Issues,” (Seino-Kijungata Taishin Sekkei: Genjo to Kadai), Kajima Institute Publishing, 2006 (in Japanese).
- [10] S. Günay and K. M. Mosalam, “PEER performance-based earthquake engineering methodology revisited,” J. of Earthquake Engineering, Vol.17, Issue 6, pp. 829-858, 2013. https://doi.org/10.1080/13632469.2013.787377
- [11] P. Heresi and E. Miranda, “RPBEE: Performance-based earthquake engineering on a regional scale,” Earthquake Spectra, Vol.39, Issue 3, pp. 1328-1351, 2023. https://doi.org/10.1177/87552930231179491
- [12] Federal Emergency Management Agency (FEMA), “Seismic performance assessment of buildings, Volume 1 – Methodology,” Report, No.FEMA P-58-1, 2012.
- [13] J. E Padgettand and R. DesRoches, “Sensitivity of seismic response and fragility to parameter uncertainty,” J. of Structural Engineering, Vol.133, No.12, pp. 1710-1718, 2007. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:12(1710)
- [14] K. Porter, G. Johnson, and R. Sheppard, “Fragility of mechanical, electrical, and plumbing equipment,” Earthquake Spectra, Vol.26, Issue 2, pp. 451-472, 2010. https://doi.org/10.1193/1.3363847
- [15] A. Vosooghi and M. S. Saiidi, “Experimental fragility curves for seismic response of reinforced concrete bridge columns,” ACI Structural J., Vol.109, No.6, pp. 825-834, 2012. https://doi.org/10.14359/51684126
- [16] S. Bianchi and S. Pampanin, “Fragility functions for architectural nonstructural components,” J. of Structural Engineering, Vol.148, No.10, Article No.03122005, 2022. https://doi.org/10.1061/(ASCE)ST.1943-541X.0003352
- [17] H. Okano, N. Umeda, and M. Sadamoto, “Earthquake damages and repair costs of buildings,” Conf. of the Architectural Institute of Japan (Hokuriku), Structures Division (Vibration) PD, pp. 43-48, 2019 (in Japanese).
- [18] J. Fujiwara, T. Nagae, T. Yan, J. Jin, J. Li, T. Okazaki, A. Kishida, R. Nishi, and K. Kajiwara, “3-D detailed finite element analysis of full-scale shaking table test on a 10-story steel building,” Proc. of 18th World Conf. on Earthquake Engineering, 2024.
- [19] Hyogo Earthquake Engineering Research Center, National Research Institute for Earth Science and Disaster Resilience, “Data Sharing,” (in Japanese). https://asebi.bosai.go.jp/ [Accessed May 27, 2025]
- [20] R. Nishi, J. Fujiwara, K. Kajiwara, K. Mizutani, and T. Nagae, “Seismic response of non-structural components in a 10-story steel building shake table test,” Engineering Structures (Under review).
- [21] R. Nishi, J. Fujiwara, A. Kishida, K. Kajiwara, H. Okano, K. Mizutani, T. Nagae, N. Shinada, T. Murata, and T. Suzuki, “Seismic damage of non-structural components in the shake-table test of 10-story steel building,” Proc. of 18th World Conf. on Earthquake Engineering, 2024.
- [22] K. Kajiwara et al., “Comprehensive seismic performance assessment testing Part 10,” Summaries of Technical Papers of Annual Meeting, Architectural Institute of Japan, B-II, pp. 1185-1193, 2023 (in Japanese).
- [23] The Building Center of Japan, “Guidelines for Seismic Design and Construction of Building Equipment (2014 Ed.),” 2014.
- [24] J. Li, J. Jin, T. Yan, J. Fijiwara, K. Kajiwara, A. Kishida, R. Nishi, T. Nagae, and T. Okazaki, “Bidirectional-loading response of square-HSS columns and panel zones measured in shake-table tests of a 10-story steel building,” J. of Structural Engineering, American Society of Civil Engineers, Vol.151, Issue 5, Article No.04025050, 2025. https://doi.org/10.1061/JSENDH.STENG-13984
- [25] H. Suwa and J. Kanda, “Damage ratio curves of building equipment by using the damage database due to 1995 Hyogoken Nanbu Earthquake,” J. of Structural and Construction Engineering (Trans. of AIJ), Vol.73, No.633, pp. 1935-1941, 2008. https://doi.org/10.3130/aijs.73.1935
- [26] T. Ishihara, S. Motoyui, and Y. Wakiyama, “Seismic design on nonstructural components based on a direct method for floor response spectrum,” AIJ J. of Technology and Design, Vol.21, No.48, pp. 411-515, 2015. https://doi.org/10.3130/aijt.21.511
- [27] Federal Emergency Management Agency (FEMA), “Supporting materials and background documentation, 3.9 Nonstructural fragility background documentation,” FEMA P-58 Supporting Materials. https://femap58.atcouncil.org/supporting-materials [Accessed May 27, 2025]
- [28] N. Luco, B. R. Ellingwood, R. O. Hamburger, J. D. Hooper, J. K. Kimball, and C. A. Kircher, “Risk-targeted versus current seismic design maps for the conterminous United States,” SEAOC 2007 Convention Proc., 2007.
- [29] N. Luco, R. E. Bachman, C. B. Crouse, J. R. Harris, J. D. Hooper, C. A. Kircher, P. J. Caldwell, and K. S. Rukstales, “Updates to building-code maps for the 2015 NEHRP recommended seismic provisions,” Earthquake Spectra, Vol.31, Supplement 1, pp. S245-S271, 2015. https://doi.org/10.1193/042015EQS058M
- [30] R. K. McGuire, “Seismic Hazard and Risk Analysis,” Earthquake Engineering Research Institute, 2004.
- [31] Ministry of Construction, “Notification No.1461 – Stipulation of criteria for structural calculations performed to confirm the safety from the perspective of structural capacity of high-rise buildings,” May 31, 2000 (in Japanese).
- [32] M. Miyazawa and J. Mori, “Test of seismic hazard map from 500 years of recorded intensity data in Japan,” Bulletin of the Seismological Society of America, Vol.99, No.6, pp. 3140-3149, 2009. https://doi.org/10.1785/0120080262
- [33] Architectural Institute of Japan (AIJ), “Recommendations for Loads on Buildings,” 2015.
- [34] T. Nagae, K. Suita, and M. Nakashima, “Seismic performance of reinforced concrete buildings with yielding soft first stories – Through a probabilistic approach –,” J. of Structural and Construction Engineering (Trans. of AIJ), Vol.71, No.610, pp. 123-130, 2006. https://doi.org/10.3130/aijs.71.123_4
- [35] Applied Technology Council (ATC), “Quantification of building seismic performance factors,” FEMA P-695, 2009.
- [36] K. Takaya, E. Shigeta, R. Nishi, J. Fujiwara, K. Hidaka, T. Asai, and T. Nagae, “Seismic damage assessment of HVAC equipment based on shaking table tests: Part 2 effect of equipment response on suspended support damage,” Summaries of Technical Papers of Annual Meeting, Architectural Institute of Japan, 2025 (in Japanese).
- [37] K. Trevlopoulos and I. Zentner, “Seismic fragility curve assessment based on synthetic ground motions with conditional spectra,” Pure and Applied Geophysics, Vol.177, pp. 2375-2390, 2020. https://doi.org/10.1007/s00024-019-02245-w
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