Seismic fragility analysis of two adjacent structures connected with Maxwell model
WU Qiao-yun1,2, ZHU Hong-ping2, CHEN Chu-long2
1. School of Resource and Civil Engineering, Wuhan Institute of Technology, Wuhan 430073;
2. School of Civil Engineering and Mechanics, Huazhong University of Science and Technology, Wuhan 430074
Two-dimensional models of two adjacent reinforced concrete frames connected with Maxwell dampers were set up, which considered the nonlinear behavior of beam-column and damper elements under major earthquakes. Through a lot of incremental dynamic analysis (IDA), it investigated the applicability of Maxwell damper tuning parameters theoretical expression when structures experienced the whole process from initial elastic, yield until to final collapse. Based on the results of IDA, comparative analysis of seismic fragility curves of structures with control and without control has been done. From the perspective of performance evaluation, it studied the control effect of Maxwell damper under different seismic waves and different seismic intensities. By time history analysis of top floor displacement of the adjacent structures under different seismic intensities, it found that the control effects for the top floor displacement of the two adjacent structures both were good under small earthquakes, however, when the adjacent structures encountered with big earthquake, only the second structure could be controlled significantly. It also can be seen from the seismic fragility curves of the adjacent structures with control and without control, the control effect of Maxwell damper to the second structure under each performance levels was superior to the first structure. Finally, through a large number of parameter analysis and based on the principle of minimum seismic fragility of adjacent structures, it proposes the suitable parameter values of the Maxwell damper.
[1] 朱宏平, 俞永敏, 唐家详. 地震作用下主-从结构的被动优化控制研究[J]. 应用力学学报. 2000, 17(2): 63-69.
Zhu Hongping, Yu Yongmin, Tang Jiaxiang. Optimal passive control of primary-auxiliary structures under earthquake excitation[J]. Chinese Journal of Applied Mechanics, 2000, 17(2): 63-69.
[2] 朱宏平, 杨紫健, 唐家祥. 利用连接装置控制两相邻结构的地震响应[J]. 振动工程学报. 2003, 16(1): 57-61.
Zhu Hongping, Yang Zijian, Tang Jiaxiang. Control of the seismic response of two adjacent structures using a damped link[J]. Journal of Vibration Engineering, 2003, 16(1): 57-61.
[3] 朱宏平, 梁露. 两相邻结构地震动响应被动优化控制的比较研究[J]. 工程力学. 2005, 22(增刊): 183-187.
Zhu Hongping, Liang Lu. Comparative study of passive optimum control for reducing seismic responses of adjacent structures[J]. Engineering Mechanics, 2005, 22(Sup): 183-187.
[4] 朱宏平, 翁顺, 陈晓强. 控制两相邻结构地震动响应的Maxwell模型流体减振器优化参数研究[J]. 应用力学学报. 2006, 23(2): 296-300.
Zhu Hongping, Weng Shun, Chen Xiaoqiang. Optimum parameters of Maxwell-defined dampers for reducing the seismic responses of adjacent structures under earthquake[J]. Chinese Journal of Applied Mechanics, 2006, 23(2): 296-300.
[5] Zhu HP, Iemura H. A study of response control on the passive coupling element between two parallel structures[J]. International Journal of Structural Engineering and Mechanics. 2000, 9(4): 383-396.
[6] Zhu HP, Iemura H. A study on interaction control for seismic response of parallel structures[J]. Computers and Structures. 2001, 79(2): 231-242.
[7] Zhu HP, Xu Y L. Optimum parameters of Maxwell model-defined dampers used to link adjacent structures[J]. Journal of Sound and Vibration. 2005, 279(1-2): 253-274.
[8] Zhu HP, Ge DD, Huang X. Optimum connecting dampers to reduce the seismic response of parallel structures[J]. Journal of Sound and Vibration, 2011, 330: 1931-1949.
[9] 閤东东, 朱宏平, 陈晓强. 两相邻结构地震动响应被动优化控制研究[J]. 振动工程学报, 2008, 21(5): 482-487.
Ge Dongdong, Zhu Hongping, Chen Xiaoqiang. Passive optimum control for reducing seismic responses of adjacent structures[J]. Journal of Vibration Engineering, 2008, 21(5): 482-487.
[10] Xu YL, Zhang WS. Closed-form solution for seismic response of adjacent buildings with LQG controllers[J]. Earthquake Engineering and Structural Dynamics. 2002, 31(2): 235-259.
[11] Bhaskararao AV, Jangid RS. Seismic analysis of structures connected with friction dampers[J]. Engineering Structures. 2006, 28(5): 690-703.
[12] Bhaskararao AV, Jangid RS. Seismic response of adjacent buildings connected with friction dampers[J]. Bulletin of Earthquake Engineering. 2006, 4(1): 43-64.
[13] Bhaskararao AV, Jangid RS. Optimum viscous damper for connecting adjacent SDOF structures for harmonic and stationary white noise random excitations[J]. Earthquake Engineering and Structural Dynamics. 2007, 36(4): 563-571.
[14] Basili M, Angelis MD. Optimal passive control of adjacent structures interconnected with nonlinear hysteretic devices[J]. Journal of Sound and Vibration. 2007, 301(1-2): 106-125.
[15] Basili M, Angelis MD. A reduced order model for optimal design of 2-mdof adjacent structures connected by hysteretic dampers[J]. Journal of Sound and Vibration. 2007, 306(1-2): 297-317.
[16] Ok SY, Song J, Park KS. Optimal design of hysteretic dampers connecting adjacent structures using multi-objective genetic algorithm and stochastic linearization method[J]. Engineering Structures. 2008, 30(5): 1240-1249.
[17] Kasai K, Maison B F. Building pounding damage during the 1989 Loma Prieta earthquake[J]. Engineering Structures. 1997, 19(3): 195-207.
[18] Sezen H, Whittaker AS, Elwood KJ, et al.. Performance of reinforced concrete buildings during the August 17, 1999 Kocaeli, Turkey earthquake, and seismic design and construction practice in Turkey[J]. Engineering Structures. 2003, 25 (1): 103-114.
[19] Naeim F, Lew M, Huang S C, et al.. The performance of tall buildings during the 21 September 1999 Chi-Chi earthquake, Taiwan[J].The Structure Design of Tall Building. 2000, 9(2): 137-160.
[20] Wang ZF. A preliminary report on the Great Wenchuan Earthquake[J]. Earthquake Engineering and Engineering Vibration. 2008, 7(2): 225-234.
[21] Shome N., Cornell C. A., 1999. Probabilistic seismic demand analysis of nonlinear structures[C]. Report No. RMS-35, RMS Program, Stanford University, Stanford, CA (accessed: February 12, 2004).
[22] 吴巧云, 朱宏平, 樊剑. 基于性能的钢筋混凝土框架结构地震易损性分析[J]. 工程力学, 2012, 29(9): 117-124.
Wu Qiaoyun, Zhu Hongping, Fan Jian. Performance-based seismic fragility analysis of RC frame structures[J]. Engineering Mechanics, 2012, 29(9): 117-124.
[23] Wu Qiaoyun, Zhu Hongping, Fan Jian. Performance-based seismic financial risk assessment of reinforced concrete frame structures[J]. Journal of South University, 2012, 19: 1425-1436.
[24] 高层建筑混凝土结构技术规程JGJ3-2002[S]. 北京: 中国建筑工业出版社, 2002.
Technical specification for concrete structures of tall buildings JGJ3-2002[S]. Beijing: China Building Industry Press, 2002.
[25] FEMA 356. Prestandard and Commentary for Seismic Rehabilitation of Buildings[S]. Prepared by ASCE for Federal Emergency Management Agency, Washington, D.C., USA, 2000.
