Existing procedures to determine a minimum separation distance needed to avoid seismic pounding are based on approximations of the peak relative horizontal displacement between linear adjacent buildings, and are characterized by unknown safety levels. Thus, a performance-based probabilistic procedure for assessing risk of seismic pounding between nonlinear adjacent buildings was proposed. An efficient small failure probability method, i.e. subset simulation, was used for calculating the seismic pounding fragility of adjacent buildings. The multi-degree-of-freedom systems of equal height with substantially different dynamic properties were taken as examples to assess the rules of seismic pounding fragility and risk with and without considering nonlinear behavior of adjacent buildings at different separation distances. Moreover, the proposed method was employed to assess the performance of link elements connecting the adjacent structures, which aimed at decreasing the pounding probability. Results show that with the increase of peak ground acceleration, the seismic pounding fragility curves with considering nonlinear behavior of adjacent buildings are generally monotonic and non-decreasing but have local variations. The difference between the seismic pounding probabilities of adjacent structures with and without considering nonlinear behavior becomes larger with the increase of separation distance. When the separation distance is large, the stiffness of linking between the adjacent structures should be large enough to achieve the goal of pounding mitigation.
Pei LIU,Hai-xin ZHU,Wei-guo YANG. Seismic pounding fragility and risk assessment method for nonlinear adjacent structures based on subset simulation. Journal of ZheJiang University (Engineering Science), 2020, 54(2): 213-220.
Fig.3Displacement response of third story in nonlinear adjacent structures without pounding
Fig.4Fragility curves of seismic pounding for adjacent structures at different separation distances
Fig.5Comparison of seismic pounding fragility curves between adjacent structures with and without considering nonlinear behavior
算法
PGA
0.12g
0.14g
0.20g
0.40g
0.60g
子集模拟法
0.005 0
0.020 0
0.340 0
0.865 0
0.920 0
蒙特卡罗法
0.004 8
0.021 0
0.340 0
0.865 0
0.920 0
Tab.1Comparison of failure probabilities for non-linear adjacent structures with separation distance of 0.10 m
Fig.6Mean annual frequency of seismic pounding
Fig.7Risk of seismic pounding in design life
Fig.8Model of adjacent structures linked by spring elements
Fig.9Peak relative displacements of adjacent structures with different linking stiffness values
Fig.10Fragility curves of seismic pounding for adjacent structures with different linking stiffness values
[1]
COLE G L, DHAKAL R P, TURNER F M Building pounding damage observed in the 2011 Christchurch earthquake[J]. Earthquake Engineering and Structural Dynamics, 2012, 41 (5): 893- 913
doi: 10.1002/eqe.1164
[2]
BARBOSA A R, FAHNESTOCK L A, FICK D R, et al Performance of medium-to-high rise reinforced concrete frame buildings with masonry infill in the 2015 Gorkha, Nepal, Earthquake[J]. Earthquake Spectra, 2017, 33 (Suppl.1): 197- 218
[3]
杨永强, 戴君武, 公茂盛, 等 芦山地震中相邻建筑碰撞破坏调查与分析[J]. 哈尔滨工业大学学报, 2015, 47 (12): 102- 105 YANG Yong-qiang, DAI Jun-wu, GONG Mao-sheng, et al Investigation and analysis on adjacent buildings pounding damage in Lushan Earthquake[J]. Journal of Harbin Institute of Technology, 2015, 47 (12): 102- 105
doi: 10.11918/j.issn.0367-6234.2015.12.018
[4]
张泾钰 建筑物的变形缝在汶川地震中的反应及对策思考[J]. 西华大学学报:自然科学版, 2009, 28 (4): 83- 85 ZHANG Jing-yu Reflections on counter measures and responses of joints of structures in Wenchuan Earthquake[J]. Journal of Xihua University: Natural Science, 2009, 28 (4): 83- 85
YU Z W, LIU H Y, GUO W, et al A general spectral difference method for calculating the minimum safety distance to avoid the pounding of adjacent structures during earthquakes[J]. Engineering Structures, 2017, 150: 646- 655
doi: 10.1016/j.engstruct.2017.07.068
[7]
RAHEEM S E A, FOOLY M Y M, SHAFY A G A, et al Numerical simulation of potential seismic pounding among adjacent buildings in series[J]. Bulletin of Earthquake Engineering, 2019, 17: 439- 471
doi: 10.1007/s10518-018-0455-0
[8]
LOPEZ-GARCIA D, SOONG T T Assessment of the separation necessary to prevent seismic pounding between linear structural systems[J]. Probabilistic Engineering Mechanics, 2009, 24: 210- 223
doi: 10.1016/j.probengmech.2008.06.002
[9]
BARBATO M, TUBALDI E A probabilistic performance-based approach for mitigating the seismic pounding risk between adjacent buildings[J]. Earthquake Engineering and Structural Dynamics, 2013, 42: 1203- 1219
doi: 10.1002/eqe.2267
贾宏宇, 杜修力, 李兰平, 等 地震作用下梁体碰撞间隙宽度的概率分析方法[J]. 工程力学, 2018, 35 (8): 39- 45 JIA Hong-yu, DU Xiu-li, LI Lan-ping, et al Probability analysis of pounding separation distance of bridges subjected to earthquake excitations[J]. Engineering Mechanics, 2018, 35 (8): 39- 45
doi: 10.6052/j.issn.1000-4750.2017.03.0263
[12]
贾宏宇, 杜修力, 罗楠 随机地震激励下高墩桥梁碰撞可靠度分析[J]. 西南交通大学学报, 2018, 53 (1): 88- 94 JIA Hong-yu, DU Xiu-li, LUO Nan Dynamic reliability analysis on pounding of high-pier bridges subjected to stochastics seismic excitations[J]. Journal of Southwest Jiaotong University, 2018, 53 (1): 88- 94
doi: 10.3969/j.issn.0258-2724.2018.01.011
[13]
TUBALDI E, BARBATO M, GHAZIZADEH S A probabilistic performance-based risk assessment approach for seismic pounding with efficient application to linear systems[J]. Structural Safety, 2012, 36/37: 14- 22
doi: 10.1016/j.strusafe.2012.01.002
[14]
TUBALDI E, FREDDI F, BARBATO M Probabilistic seismic demand model for pounding risk assessment[J]. Earthquake Engineering and Structural Dynamics, 2016, 45: 1743- 1758
doi: 10.1002/eqe.2725
[15]
WU Q Y, ZHU H P, CHEN X Y Seismic fragility analysis of adjacent inelastic structures connected with viscous fluid dampers[J]. Advances in Structural Engineering, 2017, 20 (1): 18- 33
doi: 10.1177/1369433216646000
[16]
TAKABATAKE H, YASUI M, NAKAGAWA Y, et al Relaxation method for pounding action between adjacent buildings at expansion joint[J]. Earthquake Engineering and Structural Dynamics, 2014, 43: 1381- 1400
doi: 10.1002/eqe.2402
[17]
MIARI M, CHOONG K K, JANKOWSKI R Seismic pounding between adjacent buildings: identification of parameters, soil interaction issues and mitigation measures[J]. Soil Dynamics and Earthquake Engineering, 2019, 121: 135- 150
doi: 10.1016/j.soildyn.2019.02.024
[18]
AU S K, BECK J L Estimation of small failure probabilities in high dimensions by subset simulation[J]. Probabilistic Engineering Mechanics, 2001, 16: 263- 277
doi: 10.1016/S0266-8920(01)00019-4
[19]
SHINOZYKA M, DEODATIS G Simulation of stochastic processes by spectral representation[J]. Applied Mechanic Reviews, 1991, 44 (4): 191- 204
doi: 10.1115/1.3119501