Technical Papers
Sep 30, 2019

Theoretical and Experimental Study on Critical Separation Distance of Adjacent Buildings Based on Seismic Pounding Fragility

Publication: Journal of Engineering Mechanics
Volume 145, Issue 12

Abstract

Existing procedures for determining the minimum separation distance between adjacent buildings are based on the approximations of the peak relative horizontal displacement of the buildings, which are characterized by unknown pounding probabilities. The present study proposes a probabilistic performance-based procedure for determining the critical separation distance (CSD) between adjacent buildings exhibiting linear elastic behavior. Pounding events are expressed in the form of single-barrier first-passage reliability problems according to the performance-based seismic design theory. With the random vibration theory, the nongeometric spectral characteristics of the relative displacement response of adjacent buildings are deduced, and the approximate analytical solutions of the seismic pounding fragility are obtained, employing analytical approximations. Based on the seismic pounding fragility of adjacent buildings, the calculation of CSD is described as an inverse reliability problem, and the specific CSDs corresponding to a target probability of pounding during the design life of the given adjacent buildings are derived by a proposed piecewise fitting iterative search algorithm. The proposed procedure is applied to several different buildings modeled as linear elastic single-degree-of-freedom (SDOF) and multidegree-of-freedom (MDOF) systems. Referencing to the importance sampling using elementary events (ISEE) method, the accuracy and efficiency of the proposed methodology are verified. Furthermore, the results obtained based on the proposed procedure are validated against shaking table test results.

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Acknowledgments

The writers are grateful for the National Natural Science Foundation of China (51408443 and 51838006) and the Hubei Chenguang Talented Youth Development Foundation. The writers also very much appreciate the Huazhong University of Science and Technology and the Hubei (China) Key Laboratory of Structural Control.

References

Au, S. K., and J. L. Beck. 2001. “First excursion probabilities for linear systems by very efficient importance sampling.” Prob. Eng. Mech. 16 (3): 193–207. https://doi.org/10.1016/S0266-8920(01)00002-9.
Barbato, M., and J. P. Conte. 2008. “Spectral characteristics of non-stationary random process: Theory and applications to linear structural models.” Probab. Eng. Mech. 23 (4): 416–426. https://doi.org/10.1016/j.probengmech.2007.10.009.
Barbato, M., and J. P. Conte. 2011. “Structural reliability applications of nonstationary spectral characteristics.” J. Eng. Mech. 137 (5): 371–382. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000238.
Barbato, M., and J. P. Conte. 2015. “Time-variant reliability analysis of linear elastic systems subjected to fully nonstationary stochastic excitations.” J. Eng. Mech. 141 (6): 04014173. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000895.
Barbato, M., and M. Vasta. 2010. “Closed-form solutions for time-variant spectral characteristics of non-stationary random process.” Probab. Eng. Mech. 25 (1): 9–17. https://doi.org/10.1016/j.probengmech.2009.05.002.
Bipin, S. 2013. “Effects of separation distance and nonlinearity on pounding response of adjacent structures.” Int. J. Civ. Eng. 3 (3): 603–612. https://doi.org.10.6088/ijcser.201203013055.
Chung, L. L., L. Y. Wu, C. S. W. Yang, K. H. Lien, M. C. Lin, and H. H. Huang. 2013. “Optimal design formulas for viscous tuned mass dampers in wind-excited structures.” Struct. Control Health. 20 (3): 320–336. https://doi.org/10.1002/stc.496.
Clough, R. W., and J. Penzien. 1993. Dynamics of structures. New York: McGraw-Hill.
Cornell, C. A. 1994. “Risk-based structural design.” In Proc., Symp. on Risk Analysis, 37–48. Ann Arbor, MI: Univ. of Michigan.
Cornell, C. A., F. Jalayer, R. O. Hamburger, and D. A. Foutch. 2002. “Probabilistic basis for 2000 SAC federal emergency management agency steel moment frame guidelines.” J. Struct. Eng. 128 (4): 526–533. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:4(526).
Corotis, R. B., E. H. Vanmarcke, and A. C. Cornell. 1972. “First passage of nonstationary random processes.” J. Engrg. Mech. Div. 98 (2): 401–414.
Ditlevsen, O., and H. O. Madsen. 1996. Structural reliability methods. Chichester, UK: Wiley.
Favvata, M. J. 2017. “Minimum required separation gap for adjacent RC frames with potential inter-story seismic pounding.” Eng. Struct. 152 (Dec): 643–659. https://doi.org/10.1016/j.engstruct.2017.09.025.
Filiatrault, A., and M. Cervantes. 1995. “Separation between buildings to avoid pounding during earthquakes.” Can. J. Civ. Eng. 22 (1): 164–179. https://doi.org/10.1139/l95-015.
Filiatrault, A., M. Cervantes, B. Folz, and H. Prion. 1994. “Pounding of buildings during earthquakes: A Canadian perspective.” Can. J. Civ. Eng. 21 (2): 251–265. https://doi.org/10.1139/l94-028.
Gardoni, P. 2017. Risk and reliability analysis: Theory and applications. New York: Springer.
Ghazizadeh, S., M. Barbato, and E. Tubaldi. 2012. “New analytical solution of the first-passage reliability problem for linear oscillators.” J. Eng. Mech. 138 (6): 695–706. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000365.
Gill, P. E., W. Murray, and M. H. Wright. 1981. Practical optimization. London: Academic Press.
Hao, H., and J. Shen. 2001. “Estimation of relative displacement of two adjacent asymmetric structures.” Earthquake Eng. Struct. D. 30 (1): 81–96. https://doi.org/10.1002/1096-9845(200101)30:1%3C81::AID-EQE997%3E3.0.CO;2-E.
Hong, W., and S. S. Wang. 2003. “Critical building separation distance in reducing pounding risk under earthquake excitations.” Struct. Saf. 25 (3): 287–303. https://doi.org/10.1016/S0167-4730(02)00080-2.
Jeng, V., K. Kasai, and F. Maison. 1992. “A spectral difference method to estimate building separations to avoid pounding.” Earthquake Spectra. 8 (2): 201–223. https://doi.org/10.1193/1.1585679.
Jeng, V., and W. L. Tzeng. 2000. “Assessment of seismic pounding hazard for Taipei City.” Eng. Struct. 22 (5): 459–471. https://doi.org/10.1016/S0141-0296(98)00123-0.
Kasai, K., A. R. Jagiasi, and V. Jeng. 1996. “Inelastic vibration phase theory for seismic pounding mitigation.” J. Struct. Eng. 122 (10): 1136–1146. https://doi.org/10.1061/(ASCE)0733-9445(1996)122:10(1136).
Lin, J. H. 1997. “Separation distance to avoid seismic pounding of adjacent buildings.” Earthquake Eng. Struct. Dyn. 26 (3): 395–403. https://doi.org/10.1002/(SICI)1096-9845(199703)26:3%3C395::AID-EQE655%3E3.0.CO;2-F.
Lin, J. H. 2005. “Evaluation of seismic pounding risk of buildings in Taiwan.” J. Chin. Inst. Eng. 28 (5): 867–872. https://doi.org/10.1080/02533839.2005.9671057.
Lin, J. H., and C. C. Weng. 2001. “Probability analysis of seismic pounding of adjacent buildings.” Earthquake Eng. Struct. Dyn. 30 (10): 1539–1557. https://doi.org/10.1002/eqe.78.
Lin, J. H., and C. C. Weng. 2002. “A study on seismic pounding probability of buildings in Taipei metropolitan area.” J. Chin. Inst. Eng. 25 (2): 123–135. https://doi.org/10.1080/02533839.2002.9670687.
Lopez-Garcia, D., and T. T. Soong. 2009a. “Assessment of the separation necessary to prevent seismic pounding between linear structural systems.” Probab. Eng. Mech. 24 (2): 210–223. https://doi.org/10.1016/j.probengmech.2008.06.002.
Lopez-Garcia, D., and T. T. Soong. 2009b. “Evaluation of current criteria in predicting the separation necessary to prevent seismic pounding between nonlinear hysteretic structural systems.” Eng. Struct. 31 (5): 1217–1229. https://doi.org/10.1016/j.engstruct.2009.01.016.
Lu, D., X. Yu, M. Jia, and G. Wang. 2014. “Seismic risk assessment for a reinforced concrete frame designed according to Chinese codes.” Struct. Infrastruct. Eng. 10 (10): 1295–1310. https://doi.org/10.1080/15732479.2013.791326.
Michaelov, G., S. Sarkani, and L. D. Lutes. 1999. “Spectral characteristics of non-stationary random process—A critical review.” Struct. Saf. 21 (3): 223–244. https://doi.org/10.1016/S0167-4730(99)00022-3.
Moehle, J., and G. G. Deierlein. 2004. “A framework methodology for performance-based earthquake engineering.” In Proc., 13th World Conf. on Earthquake Engineering. Vancouver, Canada: World Conference on Earthquake Engineering.
Park, K. S., and S. Y. Ok. 2015. “Hybrid control approach for seismic coupling of two similar adjacent structures.” J. Sound. Vib. 349: 1–17. https://doi.org/10.1016/j.jsv.2015.03.028.
Penzien, J. 1997. “Evaluation of building separation distance required to prevent pounding during strong earthquakes.” Earthquake Eng. Struct. Dyn. 26 (8): 849–858. https://doi.org/10.1002/(SICI)1096-9845(199708)26:8%3C849::AID-EQE680%3E3.0.CO;2-M.
Porter, K. A. 2003. “An overview of PEER’s performance-based earthquake engineering methodology.” In Proc., 9th Int. Conf. on Application of Statistics and Probability in Civil Engineering (ICASP9). Rotterdam, Netherlands: Millpress Science Publication.
Quinonero, F., J. R. Massegu, J. M. Rossell, and H. R. Karimi. 2014. “Vibration control for adjacent structures using local state information.” Mechatronics 24 (4): 336–344. https://doi.org/10.1016/j.mechatronics.2013.08.001.
Rice, S. O. 1944. “Mathematical analysis of random noise.” Bell. Labs Tech. J. 23 (3): 282–332. https://doi.org/10.1002/j.1538-7305.1944.tb00874.
Roberts, J. B., and P. D. Spanos. 2003. Random vibration and statistical linearization. New York: Dover Publications.
Sezen, H., A. S. Whittaker, K. J. Elwood, and K. M. Mosalam. 2003. “Performance of reinforced concrete buildings during the August 17, 1999 Kocaeli, Turkey earthquake, and seismic design and construction practice in Turkey.” Eng. Struct. 25 (1): 103–114. https://doi.org/10.1016/S0141-0296(02)00121-9.
Toro, G. R., and C. A. Cornell. 1986. “Extremes of Gaussian processes with bimodal spectra.” J. Eng. Mech. 112 (5): 465–484. https://doi.org/10.1061/(ASCE)0733-9399(1986)112:5(465).
Tubaldi, E., M. Barbato, and S. Ghazizadeh. 2012. “A probabilistic performance-based risk assessment approach for seismic pounding with efficient application to linear systems.” Struct. Saf. 36–37 (May): 14–22. https://doi.org/10.1016/j.strusafe.2012.01.002.
Tubaldi, E., F. Freddi, and M. Barbato. 2016. “Probabilistic seismic demand model for pounding risk assessment.” Earthquake Eng. Struct. Dyn. 45 (11): 1743–1758. https://doi.org/10.1002/eqe.2725.
UDC (Ministry of Housing and Urban-Rural Development of China). 2002. Code for seismic design of buildings. [In Chinese.] GB50011. Beijing: UDC.
UDC (Ministry of Housing and Urban-Rural Development of China). 2010. Code for seismic design of buildings. [In Chinese.] GB50011. Beijing: UDC.
Vamvatsikos, D., and C. A. Cornell. 2005. “Developing efficient scalar and vector intensity measures for IDA capacity estimation by incorporating elastic spectral shape information.” Earthquake Eng. Struct. Dyn. 34 (13): 1573–1600. https://doi.org/10.1002/eqe.496.
Vanmarcke, E. 1975. “On the distribution of the first-passage time for normal stationary random processes.” Int. J. Appl. Mech. 42 (1): 215–220. https://doi.org/10.1115/1.3423521.
Wang, J. P., D. Huang, S. C. Chang, and Y. M. Wu. 2014. “New evidence and perspective to the Poisson process and earthquake temporal distribution from 55,000 events around Taiwan since 1900.” Nat. Hazards Rev. 15 (1): 38–47. https://doi.org/10.1061/(ASCE)NH.1527-6996.0000110.
Wang, S. S., and H. P. Hong. 2006. “Quantiles of critical separation distance for nonstationary seismic excitations.” Eng. Struct. 28 (7): 985–991. https://doi.org/10.1016/j.engstruct.2005.11.003.
Wang, Z. F. 2008. “A preliminary report on the Great Wenchuan Earthquake.” Earthquake Eng. Struct. Dyn. 7 (2): 225–234. https://doi.org/10.1007/s11803-008-0856-1.
Wen, Y. K., B. R. Ellingwood, and J. M. Bracci. 2004. Vulnerability function framework for consequence-based engineering. Champaign, IL: Univ. of Illinois at Urbana-Champaign.
Wu, Q. Y., J. Z. Dai, and H. P. Zhu. 2018. “Optimum design of passive control devices for reducing the seismic response of twin-tower-connected structures.” J. Earthquake Eng. 22 (5): 826–860. https://doi.org/10.1080/13632469.2016.1264332.
Wu, Q. Y., H. P. Zhu, and X. Y. Chen. 2017. “Seismic fragility analysis of adjacent inelastic structures connected with viscous fluid dampers.” Adv. Struct. Eng. 20 (1): 18–33. https://doi.org/10.1177/1369433216646000.
Yu, X. H., D. G. Lu, and B. Li. 2016. “Estimating uncertainty in limit state capacities for reinforced concrete frame structures through pushover analysis.” Earthquake Struct. 10 (1): 141–161. https://doi.org/10.12989/eas.2016.10.1.141.
Yu, X. H., D. G. Lu, and B. Li. 2017a. “Relating seismic design level and seismic performance: Fragility-based investigation of RC moment-resisting frame buildings in China.” J. Perform. Constr. Facil. 31 (5): 04017075. https://doi.org/10.1061/(ASCE)CF.1943-5509.0001069.
Yu, Z. W., H. Y. Liu, W. Guo, and Q. Liu. 2017b. “A general spectral difference method for calculating the minimum safety distance to avoid the pounding of adjacent structures during earthquakes.” Eng. Struct. 150 (Nov): 646–655. https://doi.org/10.1016/j.engstruct.2017.07.068.
Zhu, H. P., D. D. Ge, and X. Huang. 2011. “Optimum connecting dampers to reduce the seismic response of parallel structures.” J. Sound. Vib. 330 (9): 1931–1949. https://doi.org/10.1016/j.jsv.2010.11.016.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 145Issue 12December 2019

History

Received: Apr 12, 2018
Accepted: Apr 22, 2019
Published online: Sep 30, 2019
Published in print: Dec 1, 2019
Discussion open until: Feb 29, 2020

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Qiao-Yun Wu [email protected]
Associate Professor, School of Civil Engineering and Architecture, Wuhan Institute of Technology, Wuhan 430073, China. Email: [email protected]
Wan-Cheng He [email protected]
Graduate Student, School of Civil Engineering and Architecture, Wuhan Institute of Technology, Wuhan 430073, China. Email: [email protected]
Assistant Engineer, Dept. of Technology Renovation, AVIC Chengdu Aircraft Industrial (Group) Co., Ltd., Weiyi Rd. 88, Chengdu 610092, China. Email: [email protected]
Hong-Ping Zhu [email protected]
Professor, School of Civil Engineering and Mechanics, Huazhong Univ. of Science and Technology, Wuhan 430074, China (corresponding author). Email: [email protected]; [email protected]

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