基于传递函数法的大跨建筑非结构构件动力性能研究
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摘要
针对四边简支网架结构单点连接单自由度非结构构件的情况,利用传递函数法推导出非结构构件频域位移公式以及网架任一点频域位移公式,并进一步得到主附结构之间连接作用力的频域公式。其次研究主附结构频率比和质量比等参数对耦合结构频域位移响应和网架杆件内力的影响,分析得出通过频率调谐作用,非结构构件可以有效地改变网架结构的自振频率,从而避开场地的卓越周期,同时通过非结构构件与网架结构的相对运动,减弱网架结构的内力,减小主体结构位移。改变主附结构的频率比和质量比分析可知,当频率比在1左右时,主体结构位移减小幅度一般可达40%;当主附结构的频率比偏离1时,随着主附结构质量比的减小,主体结构的位移减小幅度降低;当频率比为0.7~0.8或1.1~1.2时,质量比在0.01~0.02内主体结构位移减小幅度为10%~20%。
In terms of four edges simply supported grid structure with a single-point-connection and single-degree non-structural component, displacement in the frequency domain of non-structural components and that of any point in the grid structure by the method of transfer function were derived. The connection force between the grid structure and its attached parts in frequency domain was further acquired. Considering some parameters including the frequency ratio and mass ratio of the primary and attached structure, the displacement of the coupling structure and the member internal force were studied. The non-structural components could effectively change the natural frequencies of the grid structure through frequency tuning effect, making the primary structure avoid the site predominant period. Meanwhile, the relative motion of non-structural components and grid structure could decrease the internal force and displacement. By changing the frequency ratio and mass ratio of the primary structure and its attached parts, the primary structure displacement is decreased by 40% when the frequency ratio reaches 1. The decline of the primary structure displacement reduces with the decrease of the mass ratio when the frequency ratio deviates from 1. When the frequency ratio is 0.7~0.8 or 1.1~1.2 and mass ratio is in the range of 0.01~0.02, the primary structure displacement decreases by 10%~20%.
In terms of four edges simply supported grid structure with a single-point-connection and single-degree non-structural component, displacement in the frequency domain of non-structural components and that of any point in the grid structure by the method of transfer function were derived. The connection force between the grid structure and its attached parts in frequency domain was further acquired. Considering some parameters including the frequency ratio and mass ratio of the primary and attached structure, the displacement of the coupling structure and the member internal force were studied. The non-structural components could effectively change the natural frequencies of the grid structure through frequency tuning effect, making the primary structure avoid the site predominant period. Meanwhile, the relative motion of non-structural components and grid structure could decrease the internal force and displacement. By changing the frequency ratio and mass ratio of the primary structure and its attached parts, the primary structure displacement is decreased by 40% when the frequency ratio reaches 1. The decline of the primary structure displacement reduces with the decrease of the mass ratio when the frequency ratio deviates from 1. When the frequency ratio is 0.7~0.8 or 1.1~1.2 and mass ratio is in the range of 0.01~0.02, the primary structure displacement decreases by 10%~20%.
引文
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[5]Chandra R V S,Chaudhuri S R,Gupta V K.Modeacceleration approach to seismic response of multiplysupported secondary systems[J].Earthquake Engineering&Structural Dynamics,2002,31(8):1603-1621
[6]国巍,李宏男.随机输入下附属结构的位置优化[J].振动与冲击,2008,27(4):23-26(Guo Wei,Li Hongnan.Position optimization of structure under random input affiliated[J].Journal of Vibration and Shock,2008,27(4):23-26(in Chinese))
[7]JGJ 7—2010空间网格结构技术规程[S].北京:中国建筑工业出版社,2011(JGJ 7—2010 Technical specification for space frame structures[S].Beinjing:China Architecture&Building Press,2011(in Chinese))
[8]秦丽,郭声波,李业学.单点支撑非结构构件抗震减震研究综述[J].世界地震工程,2011,27(3):163-168(Qin Li,Guo Shengbo,Li Yexue.The research of single-point support nonstructural components on seismic shock[J].World Earthquake Engineering,2011,27(3):163-168(in Chinese))
[9]韩淼,秦丽.多点连接二次结构地震响应的研究方法[J].北京建筑工程学院学报,2003,19(4):13-17(Han Miao,Qin Li.The research method of re sponse of multiply supported secondary systems to earthquakes[J].Journal of Beijing Institute of Civil Engineering and Architecture,2003,19(4):13-17(in Chinese))
[10]韩淼,王亮.二次结构系统抗震研究的发展综述及展望[J].北京建筑工程学院学报,2001,17(4):30-34(Han Miao,Wang Liang.Review and prospect of development of response of secondary systems to earthquakes[J].Journal of Beijing Institute of Civil Engineering and Architecture,2001,17(4):30-34(in Chinese))
[11]谢礼立,吕大刚.结构动力学理论及其在地震工程中的应用[M].第2版.北京:高等教育出版社,2005
[12]徐芝纶.弹性力学[M].北京:高等教育出版社,1990
[13]钱若军,董石麟.空间网格结构分析理论与计算方法[M].北京:中国建筑工业出版社,2000
[14]康希良,赵鸿铁,薛建阳.悬吊质量结构减震性能的研究[J].兰州理工大学学报2006,32(4):112-116(Kang Xiliang,Zhao Hongtie,Xue Jianyang.Research on damping properties of the suspension quality structures[J].Journal of Lanzhou University of Technology,2006,32(4):112-116(in Chinese))
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