基于环境激励法的高层钢筋混凝土剪力墙结构自振周期经验公式研究
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摘要
基于环境激励法对97栋高度在45 m～100 m的高层钢筋混凝土剪力墙结构进行动力性能测试,识别结构在水平纵、横两个方向上的基本自振周期、第二阶自振周期和第三阶自振周期。对前三阶自振周期进行回归分析,分析各主轴方向上高宽比对前三阶自振周期的影响,给出水平纵、横两个方向上前三阶自振周期的经验公式及其分布范围,给出统计学意义上的高阶自振周期与基本自振周期间的关系,并利用两个相关结构算例对公式的可靠性、有效性进行验证。该文的研究是对《建筑结构荷载规范》(GB 50009—2012)中结构自振周期经验公式相关规定的补充和完善。
A total of 97 high-rise reinforced concrete shear wall structures with the height between 45 m and 100 m were selected for the vibration tests based on the environmental motivation method in order to identify the fundamental period, the second natural period and the third natural period in the horizontal and longitudinal directions. The regression analysis was employed to analyze the effect of the height-width ratio to the natural vibration period periods. The empirical formula for the natural vibration period and distribution range of the high-rise reinforced concrete shear wall were presented. The relation between a high order natural vibration period and the fundamental period were statistically developed. The formulas were verified by using two examples. The research is a supplement and perfection to the relevant regulations of the empirical formula of the structural natural vibration period in the Load code for the design of building structures(GB 50009—2012).
A total of 97 high-rise reinforced concrete shear wall structures with the height between 45 m and 100 m were selected for the vibration tests based on the environmental motivation method in order to identify the fundamental period, the second natural period and the third natural period in the horizontal and longitudinal directions. The regression analysis was employed to analyze the effect of the height-width ratio to the natural vibration period periods. The empirical formula for the natural vibration period and distribution range of the high-rise reinforced concrete shear wall were presented. The relation between a high order natural vibration period and the fundamental period were statistically developed. The formulas were verified by using two examples. The research is a supplement and perfection to the relevant regulations of the empirical formula of the structural natural vibration period in the Load code for the design of building structures(GB 50009—2012).
引文
[1]方鄂华.高层建筑钢筋混凝土结构概念设计[M].第二版.北京:机械工业出版社,2014:3―4.Fang Ehua.The concept of high-rise building reinforced concrete structure design[M].Second Edition.Beijing:Mechanical Industry Press,2014:3―4.(in Chinese)
[2]汪梦甫,王义俊.高阻尼混凝土带钢板暗支撑双肢剪力墙抗震性能试验研究[J].工程力学,2017,34(1):204―212.Wang Mengfu,Wang Yijun.Study on seismic performance of high damping concrete coupled shear walls with concealed steel plate bracings[J].Engineering Mechanics,2017,34(1):204―212.(in Chinese)
[3]徐龙河,肖水晶,卢啸,等.钢筋混凝土剪力墙基于变形和滞回耗能非线性组合的损伤演化分析[J].工程力学,2017,34(8):117―124.Xu Longhe,Xiao Shuijing,Lu Xiao,et al.Damage evolution analysis of RC shear wall based on nonlinear combination of deformation and hysteretic energy[J].Engineering Mechanics,2017,34(8):117―124.(in Chinese)
[4]李小军,李晓虎.核电工程双钢板混凝土组合剪力墙面内受弯性能研究[J].工程力学,2017,34(9):43―53.Li Xiaojun,Li Xiaohu.Study on in-plane flexural behavior of double steel plate and concrete infill composite shear walls for nuclear engineering[J].Engineering Mechanics,2017,34(9):43―53.(in Chinese)
[5]王先铁,刘立达,杨航东,等.方钢管混凝土框架内置两侧开洞薄钢板剪力墙的抗震性能研究[J].工程力学,2017,34(3):162―172.Wang Xiantie,Liu Lida,Yang Hangdong,et al.Seismic study of concrete-filied square steel tubular frame-thin steel plate shear walls with two-side openings[J].Engineering Mechanics,2017,34(3):162―172.(in Chinese)
[6]Goel R K,Chopra A K.Period formulas for moment resisting frame buildings[J].Journal of Structural Engineering,1997,123(11):1454―1461.
[7]Goel R K,Chopra A K.Period formulas for concrete shear wall buildings[J].Journal of Structural Engineering,1998,124(4):426―433.
[8]Lee L H,Chang K K,Chun Y S.Experimental formula for the fundamental period of RC buildings with shear-wall dominant systems[J].The Structural Design of Tall Buildings,2000,9(4):295―307.
[9]Chopra A K,Goel R K.Building period formula for estimating seismic displacements[J].Earthquake Spectra,2000,16(2):533―536.
[10]Balkaya C,Kalkan E.Estimation of fundamental periods of shear-wall dominant building structures[J].Earthquake Engineering and Structural Dynamics,2003,32(7):985―998.
[11]Ghrib F,Mamedov H.Period formulas of shear-wall buildings with flexible bases[J].Earthquake Engineering and Structural Dynamics,2004,33(3):295―314.
[12]Shahrour K S.Influence of the soil-structure interaction on the fundamental period of buildings[J].Earthquake Engineering and Structural Dynamics,2007,36(3):2445―2553.
[13]Oh-Sung K,Eung S K.Evaluation of building period formulas for seismic design[J].Earthquake Engineering and Structural Dynamics,2010,39(3):1569―1583.
[14]方鄂华,钱稼茹,马镇炎.高层钢结构基本周期的经验公式[J].建筑结构学报,1993,14(2):59―62.Fang Ehua,Qian Jiaru,Ma Zhenyan.The empirical formula of high-rise steel structure basic period[J].Journal of Building Structures,1993,14(2):59―62.(in Chinese)
[15]刘红彪,郭迅.9度设防区房屋结构自振周期测试[J].建筑结构,2011,41(5):60―62,77.Liu Hongbiao,Guo Xun.Test of natural vibration period of building structure in 9 degree fortification zone[J].Building Structure,2011,41(5):60―62,77.(in Chinese)
[16]施卫星,魏丹,韩瑞龙.钢结构房屋动力特性脉动法测试研究[J].地震工程与工程振动,2012,32(1):114―120.Shi Weixing,Wei Dan,Han Ruilong.Study on dynamic characteristics test of steel structure buildings by pulsation method[J].Earthquake Engineering and Engineering Vibration,2012,32(1):114―120.(in Chinese)
[17]GB 50009―2012,建筑结构荷载规范[S].北京:中国建筑工业出版社,2012.GB 50009―2012,Building structural load code[S].Beijing:China Architecture&Building Press,2012.(in Chinese)
[18]中国建筑科学研究院建筑结构研究所.高层建筑结构设计[M].北京:科学出版社,1985:58―59.Institute of Building Construction,China Academy of Building Research.Structural design of high rise building[M].Beijing:Science Press,1985:58―59.(in Chinese)
[19]GB 50011―2010,建筑抗震设计规范[S].北京:中国建筑工业出版社,2010.GB 50011―2010,Code for seismic design of buildings[S].Beijing:China Architecture&Building Press,2010.(in Chinese)
[20]JGJ 3―2010,高层建筑混凝土结构技术规程[S].北京:中国建筑工业出版社,2010.JGJ 3―2010,Technical specification for concrete structures of tall buildings[S].Beijing:China Architecture&Building Press,2010.(in Chinese)
[21]王广军,樊水荣.关于实测自振周期修正系数取值的建议[J].工程抗震,1988(4):23―29.Wang Guangjun,Fan Shuirong.Suggestion on the value of correction factor of measured natural vibration period[J].Engineering Earthquake Resistance,1988(4):23―29.(in Chinese)
[22]徐培福,肖从真,李建辉.高层建筑结构自振周期与结构高度关系及合理范围研究[J].土木工程学报,2014,47(2):1―11.Xu Peifu,Xiao Congzhen,Li Jianhui.Study on the relationship between the natural vibration period and structural height of high-rise building and its reasonable range[J].Chinese Journal of Civil Engineering,2014,47(2):1―11.(in Chinese)
[2]汪梦甫,王义俊.高阻尼混凝土带钢板暗支撑双肢剪力墙抗震性能试验研究[J].工程力学,2017,34(1):204―212.Wang Mengfu,Wang Yijun.Study on seismic performance of high damping concrete coupled shear walls with concealed steel plate bracings[J].Engineering Mechanics,2017,34(1):204―212.(in Chinese)
[3]徐龙河,肖水晶,卢啸,等.钢筋混凝土剪力墙基于变形和滞回耗能非线性组合的损伤演化分析[J].工程力学,2017,34(8):117―124.Xu Longhe,Xiao Shuijing,Lu Xiao,et al.Damage evolution analysis of RC shear wall based on nonlinear combination of deformation and hysteretic energy[J].Engineering Mechanics,2017,34(8):117―124.(in Chinese)
[4]李小军,李晓虎.核电工程双钢板混凝土组合剪力墙面内受弯性能研究[J].工程力学,2017,34(9):43―53.Li Xiaojun,Li Xiaohu.Study on in-plane flexural behavior of double steel plate and concrete infill composite shear walls for nuclear engineering[J].Engineering Mechanics,2017,34(9):43―53.(in Chinese)
[5]王先铁,刘立达,杨航东,等.方钢管混凝土框架内置两侧开洞薄钢板剪力墙的抗震性能研究[J].工程力学,2017,34(3):162―172.Wang Xiantie,Liu Lida,Yang Hangdong,et al.Seismic study of concrete-filied square steel tubular frame-thin steel plate shear walls with two-side openings[J].Engineering Mechanics,2017,34(3):162―172.(in Chinese)
[6]Goel R K,Chopra A K.Period formulas for moment resisting frame buildings[J].Journal of Structural Engineering,1997,123(11):1454―1461.
[7]Goel R K,Chopra A K.Period formulas for concrete shear wall buildings[J].Journal of Structural Engineering,1998,124(4):426―433.
[8]Lee L H,Chang K K,Chun Y S.Experimental formula for the fundamental period of RC buildings with shear-wall dominant systems[J].The Structural Design of Tall Buildings,2000,9(4):295―307.
[9]Chopra A K,Goel R K.Building period formula for estimating seismic displacements[J].Earthquake Spectra,2000,16(2):533―536.
[10]Balkaya C,Kalkan E.Estimation of fundamental periods of shear-wall dominant building structures[J].Earthquake Engineering and Structural Dynamics,2003,32(7):985―998.
[11]Ghrib F,Mamedov H.Period formulas of shear-wall buildings with flexible bases[J].Earthquake Engineering and Structural Dynamics,2004,33(3):295―314.
[12]Shahrour K S.Influence of the soil-structure interaction on the fundamental period of buildings[J].Earthquake Engineering and Structural Dynamics,2007,36(3):2445―2553.
[13]Oh-Sung K,Eung S K.Evaluation of building period formulas for seismic design[J].Earthquake Engineering and Structural Dynamics,2010,39(3):1569―1583.
[14]方鄂华,钱稼茹,马镇炎.高层钢结构基本周期的经验公式[J].建筑结构学报,1993,14(2):59―62.Fang Ehua,Qian Jiaru,Ma Zhenyan.The empirical formula of high-rise steel structure basic period[J].Journal of Building Structures,1993,14(2):59―62.(in Chinese)
[15]刘红彪,郭迅.9度设防区房屋结构自振周期测试[J].建筑结构,2011,41(5):60―62,77.Liu Hongbiao,Guo Xun.Test of natural vibration period of building structure in 9 degree fortification zone[J].Building Structure,2011,41(5):60―62,77.(in Chinese)
[16]施卫星,魏丹,韩瑞龙.钢结构房屋动力特性脉动法测试研究[J].地震工程与工程振动,2012,32(1):114―120.Shi Weixing,Wei Dan,Han Ruilong.Study on dynamic characteristics test of steel structure buildings by pulsation method[J].Earthquake Engineering and Engineering Vibration,2012,32(1):114―120.(in Chinese)
[17]GB 50009―2012,建筑结构荷载规范[S].北京:中国建筑工业出版社,2012.GB 50009―2012,Building structural load code[S].Beijing:China Architecture&Building Press,2012.(in Chinese)
[18]中国建筑科学研究院建筑结构研究所.高层建筑结构设计[M].北京:科学出版社,1985:58―59.Institute of Building Construction,China Academy of Building Research.Structural design of high rise building[M].Beijing:Science Press,1985:58―59.(in Chinese)
[19]GB 50011―2010,建筑抗震设计规范[S].北京:中国建筑工业出版社,2010.GB 50011―2010,Code for seismic design of buildings[S].Beijing:China Architecture&Building Press,2010.(in Chinese)
[20]JGJ 3―2010,高层建筑混凝土结构技术规程[S].北京:中国建筑工业出版社,2010.JGJ 3―2010,Technical specification for concrete structures of tall buildings[S].Beijing:China Architecture&Building Press,2010.(in Chinese)
[21]王广军,樊水荣.关于实测自振周期修正系数取值的建议[J].工程抗震,1988(4):23―29.Wang Guangjun,Fan Shuirong.Suggestion on the value of correction factor of measured natural vibration period[J].Engineering Earthquake Resistance,1988(4):23―29.(in Chinese)
[22]徐培福,肖从真,李建辉.高层建筑结构自振周期与结构高度关系及合理范围研究[J].土木工程学报,2014,47(2):1―11.Xu Peifu,Xiao Congzhen,Li Jianhui.Study on the relationship between the natural vibration period and structural height of high-rise building and its reasonable range[J].Chinese Journal of Civil Engineering,2014,47(2):1―11.(in Chinese)
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