Influence factors analysis and Bayesian estimation for residual displacement index of RC pier
ZENG Wuhua1, ZHUO Weidong2, WANG Dongsheng3
1. School of Civil Engineering, Sanming University, Sanming 365004, China;
2. College of Civil Engineering, Fuzhou University, Fuzhou 350108, China;
3. School of Civil Engineering, Hebei University of Technology, Tianjin 300401, China
Abstract：Here, to reveal effect laws of parameters on residual displacement index of RC pier under quasi-static force action, Bayesian estimation of residual displacement index in deformation limit state was deduced. The quasi-static test component model of a RC pier was established with the software OpenSees, and the model was verified using simulation based on test results. Based on quasi-static numerical analysis calculation results of 256 RC piers, statistical characteristics of the residual displacement index and main influencing factors were studied. Then, the linear regression analysis method was used to establish the prior probability distribution model of RC pier residual displacement index. Based on Bayesian theory, the posterior probability distribution model of RC bier residual displacement index under quasi-static action was established through updating small sample test data. The results showed that the main influencing factor of residual displacement index of RC pier is axial compression ratio, the index decreases with increase in axial compression ratio; the established posterior probability distribution model can be used to accurately estimate RC bier residual displacement index, it can provide conveniences for aseismic design of RC bier or considering the randomness of its residual displacement in evaluation.
曾武华，卓卫东，王东升. RC桥墩残余位移指标影响因素分析及贝叶斯估计[J]. 振动与冲击, 2021, 40(19): 145-150.
ZENG Wuhua, ZHUO Weidong, WANG Dongsheng. Influence factors analysis and Bayesian estimation for residual displacement index of RC pier. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(19): 145-150.
［1］范立础, 卓卫东. 桥梁延性抗震设计［M］. 北京: 人民交通出版社, 2001.
［2］KAWASHIMA K, UNJOH S. The damage of highway bridges in the 1995 Hyogo-ken Nanbu earthquake and its impact on Japanese seismic design ［J］. Journal of Earthquake Engineering, 1997, 1(3): 505-541.
［3］Design specifications of highway bridges, part V: seismic design ［S］. Tokyo: Japanese Road Association, 2002.
［4］LESSLOSS M N. Fardis: guidelines for displacement-based design of buildings and bridges ［R］. Pavia: IUSS Press, 2007.
［5］Federal Emergency Management Agency， HAMBURGER R， BACHMAN R,et al.Seismic performance assessment of buildings,volume 1: methodology ［R］. Redwood City, CA: Federal Emergency Management Agency, 2012.
［6］重庆交通科研设计院.公路桥梁抗震设计细则:JTG/T B02-01—2008 ［S］. 北京：中华人民共和国交通运输部,2008.
［7］HOSE Y D, SEIBLE F. Performance evaluation database for concrete bridge components and systems under simulated seismic loads ［R］. Berkeley: Pacific Earthquake Engineering Research Cente, 2003.
［8］罗征, 李建中. 低周往复荷载下空心矩形墩抗震性能试验研究 ［J］. 振动与冲击, 2013, 32(8): 183-188.
LUO Zheng, LI Jianzhong. Tests for a seismic performance of rectangular hollow thin-walled bridge columns under low-cycle reversed loading ［J］. Journal of Vibration and Shock, 2013, 32(8): 183-188.
［9］王军文, 李海洋, 李建中. 拟静力作用下钢筋混凝土桥墩残余位移分析 ［J］.华中科技大学学报(自然科学版), 2015, 43(9): 95-99.
WANG Junwen, LI Haiyang, LI Jianzhong. Analysis of residual displacement for reinforced concrete piers under pseudo-static load ［J］.Journal of Huazhong University of Science and Technology ( Natural Science Edition ), 2015, 43(9): 95-99.
［10］王军文, 李海洋, 闫聚考, 等. 地震作用下钢筋混凝土桥墩残余位移研究 ［J］. 振动与冲击, 2018, 37(13): 130-134.
WANG Junwen, LI Haiyang, YAN Jukao, et al. Residual displacements of RC piers under action of earthquake ［J］. Journal of Vibration and Shock, 2018, 37(13): 130-134.
［11］李宇, 车艳阳, 王森. 考虑残余位移影响的梁式桥基于性能的抗震设计 ［J］. 土木工程学报, 2015, 48(3): 71-78.
LI Yu, CHE Yanyang, WANG Sen. Study on performance-based seismic design for beam bridges considering residual displacement ［J］. China Civil Engineering Journal, 2015, 48(3): 71-78.
［12］蔡晓玉, 田石柱. 基于IDA的连续梁桥残余柱体漂移率的倒塌判定指标研究 ［J］. 地震工程与工程振动, 2018, 38(6): 153-160.
CAI Xiaoyu, TIAN Shizhu. Study on residual column drift rate collapse criteria of continuous girder bridge based on IDA ［J］. Earthquake Engineering and Engineering Dynamics, 2018, 38(6): 153-160.
［13］曾武华, 张仁巍, 田尔布, 等. 钢筋混凝土桥墩残余位移概率分析 ［J］. 工程抗震与加固改造, 2019, 41(4):153-159.
ZENG Wuhua, ZHANG Renwei, TIAN Erbu, et al. Residual displacement probabilistic analysis for reinforced concrete bridge piers ［J］. Earthquake Resistant Engineering and Retrofitting, 2019, 41(4): 153-159.
［14］胡晓斌, 贺慧高. 强震下单自由度体系残余位移离散性研究 ［J］. 地震工程与工程振动, 2015, 35(6): 213-218.
HU Xiaobin, HE Huigao. Study on the dispersion of residual displacement of SDOF system under strong earthquake ［J］. Earthquake Engineering and Engineering Dynamics, 2015, 35(6): 213-218.
［15］LEHMAN D E, MOEHLE J P. Seismic performance of well-confined concrete bridge columns ［R］. Berkeley: Pacific Earthquake Engineering Research Cente, 1998.
［16］YAZGAN U, DAZIO A. Simulating maximum and residual displacements of RC structures: I．accuracy ［J］. Earthquake Spectra, 2011, 27(4): 1187-1202．
［17］YAZGAN U, DAZIO A. Simulating maximum and residual displacements of RC structures: II．sensitivity ［J］. Earthquake Spectra, 2011, 27(4): 1203-1218．
［18］赵泰儀, 孙治国, 王东升, 等. RC桥墩残余位移模拟的参数敏感性分析 ［J］. 振动与冲击, 2018, 37(15): 251-260.
ZHAO Taiyi, SUN Zhiguo, WANG Dongsheng, et al. Parametric sensitivity analysis in simulation of residual displacements for RC bridge piers ［J］. Journal of Vibration and Shock, 2018, 37(15): 251-260.
［19］ANG A H S, TANG W H. Probability concepts in engineering: emphasis on applications in civil and environmental engineering ［M］. New York: John Wiley and Sons Inc., 2007.
［20］EBERHARD M. The structural performance database ［EB/OL］. (2003-12-19). http:∥nisee.berkeley.edu/spd/ index.html.
