Study on Nonlinear Response Spectra for Base-Isolated Structures Considered Non-proportional Damping
Du Yongfeng1,2, Xu Tianni2, Bao Chao2, Chen Kai2, Hong Na2
1. Western Center of Disaster Mitigation in Civil Engineering of Ministry of Education, Lanzhou University of Technology, Lanzhou 730050;
2. Institute of Earthquake Protection and Disaster Mitigation, Lanzhou University of Technology, Lanzhou 730050
Abstract:The damping characteristics of upper structure and the isolation layer of base-isolated system are completely different, so the system often exhibits significant non-proportional damping characteristics. It is necessary to consider the non-proportional damping during seismic design of base-isolated structure; meanwhile this design method is convenient for promotion and application. The two degrees of freedom simplified model for the base-isolated structures is set up,and the non-proportional damping effect is thought over when establishing the motion equation Then the simplified model are analyzed and simultaneously obtained its response spectra which considered non-proportional damping and Rayleigh damping under the near-field and far-field ground motions, and get the calculation formula of the ratio between two response spectra and period by nonlinear curve fitting. Finally, the seismic response analysis for a real base-isolated structure is done, and verifies the reasonableness of the proposed formula.
杜永峰1,2,徐天妮2,包超2,陈凯2,洪娜2. 考虑非比例阻尼的基础隔震结构非线性反应谱研究[J]. 振动与冲击, 2016, 35(17): 207-212.
Du Yongfeng1,2, Xu Tianni2, Bao Chao2, Chen Kai2, Hong Na2. Study on Nonlinear Response Spectra for Base-Isolated Structures Considered Non-proportional Damping. JOURNAL OF VIBRATION AND SHOCK, 2016, 35(17): 207-212.
[1] 周福霖.工程结构减震控制[M].北京: 地震出版社, 1997.
Zhou Fulin. Seismic control in engineering structures[M]. Beijing: Earthquake Publishing House,1997.
[2] 施卫星,李正升.基础隔震结构设计反应谱[J].工程力学(增刊),1998:115-120.
SHI Weixing, LI Zhengsheng. Design spectra of base-isolated structures[J].Engineering Mechanics(S), 1998: 115-120.
[3] 周云,安宇,梁兴文.基础隔震结构基于位移的设计方法[J].广州大学学报(自然科学版),2002,1(1):75-79.
ZHOU Yun, AN Yu, LIANG Xing-wen. A based-displacement design method of base-isolated structures[J].Journal of Guangzhou university, 2002,1(1): 75-79.
[4] 曹加良,刘文光,何文福.基础隔震结构反应谱拟谱与真谱差异研究[J].世界地震工程,2009,25(2):76-80.
CAO Jialiang, LIU Wenguang, HE Wenfu. Studies on differences between pseudo and real response spectra of base-isolated structure[J].World earthquake Engineering, 2009,25(2):76-80.
[5] 王涛,王飞,候钢领,等. 核电厂隔震结构的振动台试验研究[J].工程力学,2014,31(10):62-69.
Wang Tao, Wang Fei, Hou Gang-ling, et al. Shaking table test on base-isolated nuclear power plant[J]. Engineering Mechanic, 2014,31(10):62-69.
[6] 周国伟,张志强,李爱群,等.混合结构时程分析中的阻尼比计算研究[J].振动与冲击,2012,31(16):117-122.
Zhou Guo-wei, Zhang Zhi-qiang, Li Ai-qun, et al. Damping ratio of composite structures used in time-history analysis [J].Journal of vibration and shock, 2012,31(16):117-122.
[7] 张树传, 何玉敖, 王亚勇. 非比例阻尼线性体系振型组合法适用范围探讨[J].建筑结构,2011,41(5):63-67.
Zhang Shuchuan, He Yu’ao, Wang Yayong. Discussion on application scope of mode combination method for non-classically damped linear system [J].Building Structure, 2011,41(5):63-67.
[8] 杨志勇,李桂青,瞿伟廉.结构阻尼的发展及其研究近况[J].武汉工业大学学报,2000,22(3):38-41.
Yang Zhiyong, Li Guiqing, Qu Weilian. The research history and recent development of structural damping [J]. Journal of Wuhan university of technology,2000,22(3): 38-41.
[9] 李田.结构时程动力分析中的阻尼取值研究[J].土木工程学报,1997,30(8):68-73.
Li Tian. A study on damping values applied to the time-history dynamic analysis of structures [J]. China civil engineering journal,1997,30(8): 68-73
[10] 黄宗明,白绍良,赖明.结构地震反应时程分析中的阻尼研究[J].土木工程学报,1998, 31(2):75-79.
Huang Zongming, Bai shoaling, Lai Ming.An investigation of damping in earthquake response time-history analysis of structures[J]. China civil engineering journal, 1998, 31(2): 75-79.
[11] JAMES M KELLY. The role of damping in seismic isolation [J]. Earthquake Engineering and Structure Dynamic, 1999, 28(1):3-20.
[12] HSIANG-CHUAN TSAI, JAMES M KELLY. Seismic response of heavily damped base isolation systems [J]. Earthquake Engineering and Structure Dynamic, 1993, 22:633-645.
[13] Keri L Ryan, Jose Polanco. Problems with Rayleigh Damping in base-isolated buildings[J]. Journal of Structure Engineering, 2008, 134(11): 1780- 1785.
[14] 建筑抗震设计规范(GB50011-2010)[S].中华人民共和国住房和城乡建设部,2010.
Code for seismic design of buildings (GB50011-2010) [S].Ministry of housing and urban-rural development of the people’s republic of China, 2010)
[15] ATC-63(2006).International Building Code. International Code Council, 2006, USA.
[16] 李慧,王亚楠,杜永峰. 近场地震作用下TMD-BIS混合控制体系的非线性响应分析[J].土木工程学报,2013,46(增):57-62.
Li Hui, WANG Yanan, DU Yongfeng. Seismic response analysis for nonlinear base-isolated structure with TMD under near fault ground motion [J].China civil engineering journal, 2013, 46 (S):57-62.