Abstract:To evaluate the beam-end pounding probability of long-span asymmetric suspension bridge subjected to random earthquake action, a three-dimensional nonlinear finite element model of a typical example bridge was established using OpenSEES software. The bridge pounding probability model was proposed based on the Latin hypercube sampling (LHS) and kernel density estimation (KDE) method by considering the random characteristics of both ground motion and model parameters and its validity was verified. Finally, the influences of random parameters of bridge structure, expansion joint width and nonlinear damper on the beam-end pounding probability of suspension bridge were investigated. Results indicate that the bridge pounding probability may be overestimated with the maximum error of 122% if the uncertainty of bridge structural parameters is ignored. The pounding probability of the bridge under severe earthquakes can be decreased significantly by using the nonlinear damper, and the seismic mitigation effect of the damper increases with the increase of the expansion joint width. When the PGA is less than 0.7g, the damper can both reduce the peak impact force of the suspension bridge and the pounding times of the beam-end. When the PGA is greater than 0.7g, the damper has little effect on the pounding times while can evidently reduce the impact force.
师新虎1,丁自豪2,贾宏宇2,郑史雄2,李树鼎1. 基于核密度估计法的大跨度非对称悬索桥碰撞概率分析[J]. 振动与冲击, 2023, 42(16): 269-277.
SHI Xinhu1, DING Zihao2, JIA Hongyu2, ZHENG Shixiong2, LI Shuding1. Pounding probability analysis of a long-span asymmetric suspension bridge based on a kernel density estimation method. JOURNAL OF VIBRATION AND SHOCK, 2023, 42(16): 269-277.
[1] Li J Z, Peng T B, Xu Y. Damage investigation of girder bridges under the Wenchuan earthquake and corresponding seismic design recommendations [J]. Earthquake Engineering and Engineering Vibration, 2008, 7(4): 337-344.
[2] Miari M, Choong K K, Jankowski R. Seismic pounding between bridge segments: a state-of-the-art review [J]. Archives of Computational Methods in Engineering, 2021, 28(2): 495-504.
[3] Nielson B G, DesRoches R. Influence of modeling assumptions on the seismic response of multi-span simply supported steel girder bridges in moderate seismic zones [J]. Engineering Structures, 2006, 28(8): 1083-1092.
[4] Wang C J. Failure study of a bridge subjected to pounding and sliding under severe ground motions [J]. International Journal of Impact Engineering, 2007, 34(2): 216-231.
[5] Rezaei H, Moayyedi S A, Jankowski R. Probabilistic seismic assessment of RC box-girder highway bridges with unequal-height piers subjected to earthquake-induced pounding [J]. Bulletin of Earthquake Engineering, 2020, 18(4): 1547-1578.
[6] Shrestha B, He L X, Hao H, et al. Experimental study on relative displacement responses of bridge frames subjected to spatially varying ground motion and its mitigation using superelastic SMA restrainers [J]. Soil Dynamics and Earthquake Engineering, 2018, 109: 76-88.
[7] Bi K M, Hao H, Chouw N. Influence of ground motion spatial variation, site condition and SSI on the required separation distances of bridge structures to avoid seismic pounding [J]. Earthquake Engineering & Structural Dynamics, 2011, 40(9): 1027-1043.
[8] Amjadian M, Agrawal A K. Rigid-body motion of horizontally curved bridges subjected to earthquake-induced pounding [J]. Journal of Bridge Engineering, 2016, 21(12): 04016090.
[9] Kun C, Jiang L Z, Chouw N. Influence of pounding and skew angle on seismic response of bridges [J]. Engineering Structures, 2017, 148: 890-906.
[10] Takeda T, Mizutani T, Nagayama T, et al. Reproduction of cable-stayed bridge seismic responses involving tower-girder pounding and damage process estimation for large earthquakes [J]. Journal of Bridge Engineering, 2019, 24(2): 04018112.
[11] Shen Y, Li Y X, Xu W J, et al. Evaluation of seismic-induced impact interaction between a cable-stayed bridge and its approach spans using a simplified analysis model [J]. Journal of Earthquake Engineering, 2020, 14: 1-21.
[12] 闫聚考, 李建中, 彭天波, 等. 大跨度悬索桥主引桥碰撞效应振动台试验及数值研究[J]. 振动与冲击, 2017, 36(7): 234-240+261.
YAN Ju-kao, LI Jian-zhong, PENG Tian-bo, et al. Shaking table tests and numerical analysis for pounding effect between main span and approach span of long-span suspension bridges [J]. Journal of Vibration and Shock, 2017, 36(7): 234-240+261.
[13] 郑勤飞, 闫维明, 罗振源, 等. 脉冲型地震作用下独塔自锚式悬索桥碰撞响应试验研究[J]. 振动与冲击, 2019, 38(4): 151-157.
ZHENG Qin-fei, YAN Wei-ming, LUO Zhen-yuan, et al. An experimental study on pounding response of a self-anchored suspension bridge with single tower under pulse-like ground motions [J]. Journal of Vibration and Shock, 2019, 38(4): 151-157.
[14] Jia H Y, Zhao J G, Li X, et al. Probabilistic pounding analysis of high-pier continuous rigid frame bridge with actual site conditions [J]. Earthquakes and Structures, 2018, 15(2): 193-202.
[15] 张炳鑫, 郑史雄, 杨进, 等. 梁端碰撞效应对大跨高墩连续刚构桥易损性影响[J]. 铁道科学与工程学报, 2020, 17(4): 891-899.
ZHANG Bing-xin, ZHENG Shi-xiong, YANG Jin, et al. Influence of pounding effects on seismic vulnerability analysis of the high-pier large-span continuous rigid frame bridges [J]. Journal of Railway Science and Engineering, 2020, 17(4): 891-899.
[16] 单德山, 张二华, 董俊, 等. 基于核密度估计的铁路桥梁构件地震易损性分析[J]. 铁道学报, 2019, 41(8): 108-116.
SHAN De-shan, ZHANG Er-hua, DONG Jun, et al. Railway bridge component seismic vulnerability analysis based on Kernel Density Estimation [J]. Journal of the China Railway Society, 2019, 41(8): 108-116.
[17] Muthukumar S. A contact element approach with hysteresis damping for the analysis and design of pounding in bridges [D]. Georgia Institute of Technology, 2003.
[18] Cornell C A, Jalayer F, Hamburger R O, et al. Probabilistic basis for 2000 SAC Federal Emergency Management Agency steel moment frame guidelines [J]. Journal of Structural Engineering-ASCE, 2002, 128(4): 526-533.
[19] Kent D C, Park R. Flexural members with confined concrete [J]. Journal of the Structural Division, 1971, 97(7): 1969-1990.
[20] Filippou F C, Popov E P, Bertero V V. Effects of bond deterioration on hysteretic behavior of reinforced concrete joints [R]. Berkeley: Earthquake Engineering Research Center, 1983.
[21] Lu L Y, Lin G L, Shih M H. An experimental study on a generalized Maxwell model for nonlinear viscoelastic dampers used in seismic isolation [J]. Engineering Structures, 2012, 34: 111-123.
[22] Boulanger R W, Curras C J, Kutter B L, et al. Seismic soil-pile-structure interaction experiments and analyses [J]. Journal of Geotechnical and Geoenvironmental Engineering, 1999, 125(9): 750-759.
[23] Shinozuka M, Deodatis G. Simulation of stochastic processes by spectral representation [J]. Applied Mechanics Reviews, 1991, 44(4): 191-204.
[24] Liu Z J, Liu Z X, Chen D H. Probability density evolution of a nonlinear concrete gravity dam subjected to nonstationary seismic ground motion [J]. Journal of Engineering Mechanics, 2018, 144(1): 04017157(1-13).
[25] Xu J, Ding Z, Wang J. Extreme value distribution and small failure probabilities estimation of structures subjected to non-stationary stochastic seismic excitations [J]. Structural Safety, 2018, 70: 93-103.
[26] Stein M. Large sample properties of simulations using Latin hypercube sampling [J]. Technometrics, 1987, 29(2): 143-151.
[27] Rasmussen K J R, Hancock G J. Plate slenderness limits for high strength steel sections [J]. Journal of Constructional Steel Research, 1992, 23(1-3): 73-96.