地震作用下高耸结构动力响应波动分析方法
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摘要
针对高耸结构沿高度方向进行空间离散并构造出控制体,基于Timoshenko梁理论,建立控制体的动力学方程。在时间域上交替运用控制体动力学方程和剪力-位移关系式、弯矩-转角关系式,提出一种研究地震作用下高耸结构动力响应的波动分析方法。利用所提出的方法对南京电视塔在地震作用下的动力响应进行分析,计算结果表明:南京电视塔受地震作用时,大塔楼处位移峰值大于有限元方法的计算结果,大塔楼处出现转动惯性力矩峰值,研究高耸结构的地震响应问题时不应忽略转动惯性的影响。所提出的方法为研究地震作用下高耸结构的动力响应问题提供了一种有效的途径。
The controlled bodies are constructed by discretizing the high-rise structure along its height direction, and then, their dynamics equations are established by using Timoshenko beam theory, which are 2 sets of equations describing the relationships of body translation vs. transverse shear, and body rotation vs. bending moment respectively. Thus, using the two sets of equations alternately in time domain, a numerical algorithm based on wave analysis is presented for the dynamic response analyses of high-rise structures under seismic loading. The dynamic response of Nanjing TV tower under seismic loading is analyzed using the proposed algorithm. It is found the maximum displacement of big observation deck, who suffers the maximum rotational inertia moment, is greater than that predicted by the finite element method, indicating the rotational inertia moment should not be neglected when the dynamic response of high-rise structure is investigated. The algorithm presented provides an effective approach for dynamic response analysis of high-rise structure under seismic loading.
The controlled bodies are constructed by discretizing the high-rise structure along its height direction, and then, their dynamics equations are established by using Timoshenko beam theory, which are 2 sets of equations describing the relationships of body translation vs. transverse shear, and body rotation vs. bending moment respectively. Thus, using the two sets of equations alternately in time domain, a numerical algorithm based on wave analysis is presented for the dynamic response analyses of high-rise structures under seismic loading. The dynamic response of Nanjing TV tower under seismic loading is analyzed using the proposed algorithm. It is found the maximum displacement of big observation deck, who suffers the maximum rotational inertia moment, is greater than that predicted by the finite element method, indicating the rotational inertia moment should not be neglected when the dynamic response of high-rise structure is investigated. The algorithm presented provides an effective approach for dynamic response analysis of high-rise structure under seismic loading.
引文
[1]陈健云,周晶,马恒春.高耸烟囱结构竖向地震响应的模型试验研究及分析[J].建筑结构学报,2005,26(2):87―93.Chen Jianyun,Zhou Jing,Ma Hengchun.Study on model test of highrise chimney subjected to vertical seismic action[J].Journal of Building Structures,2005,26(2):87―93.(in Chinese)
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[3]王雪亮,瞿伟廉,刘晖.广州新电视塔的动力特性有限元分析[J].武汉理工大学学报,2007,29(1):142―144.Wang Xueliang,Qu Weilian,Liu Hui.Finite element analysis on dynamic characteristics of super high tower in Guangzhou[J].Journal of Wuhan University of Technology,2007,29(1):142-144.(in Chinese)
[4]Wu J C,Yang J N.Continuous sliding mode control of a TV transmission tower under stochastic wind[J].Proceedings of the American Control Conference,1997,6:883―887.
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[6]Cao H,Reinhorn A M,Soong T T.Design of an active mass damper for a tall TV tower in Nanjing China[J].Engineering Structures,1998,20(3):134―143.
[7]Wu Jong-Cheng,Yang Jann N.LQG control of lateral-torsional motion of Nanjing TV transmission tower[J].Earthquake Engineering and Structural Dynamics,2000,29:1111―1130.
[8]Liu Tielin,Liu Kaishin,Zhang Jinxiang.Unstructured gird method for stress wave propagation in elastic media[J].Comput.Methods Appl Mech.Engrg.,2004,193(23-26):2427―2452.
[9]刘铁林,姜迎春,刘伟.地震作用下高层结构动力响应分析的一种数值方法[J].工程力学,2008,25(增刊I):175―178.Liu Tielin,Jiang Yingchun,Liu Wei.A numerical method for dynamic response analysis in high-rise structures under seismic load[J].Engineering Mechanics,2008,25(Sup.I):175―178.(in Chinese)
[10]Wu J R,Li Q S.Finite element model updating for a high-rise structure based on ambient vibration measurements[J].Engineering Structures,2004,26:979―990.
[2]张志强,李爱群.地震作用下合肥电视塔粘滞流体阻尼器减震的优化参数分析[J].工程抗震与加固改造,2004,27(2):39―45.Zhang Zhiqiang,Li Aiqun.The optimum parameter analysis of mitigating seismic vibration of Hefei TV tower by applying viscous fluid damper under earthquake action[J].Earthquake Resistant Engineering,2004,27(2):39―45.(in Chinese)
[3]王雪亮,瞿伟廉,刘晖.广州新电视塔的动力特性有限元分析[J].武汉理工大学学报,2007,29(1):142―144.Wang Xueliang,Qu Weilian,Liu Hui.Finite element analysis on dynamic characteristics of super high tower in Guangzhou[J].Journal of Wuhan University of Technology,2007,29(1):142-144.(in Chinese)
[4]Wu J C,Yang J N.Continuous sliding mode control of a TV transmission tower under stochastic wind[J].Proceedings of the American Control Conference,1997,6:883―887.
[5]Feng Maria Q,Zhang Ruichong.Wind-induced vibration characteristics of nanjing TV tower[J].Int.J.Non-Linear Mechanics,1997,32(4):693―706.
[6]Cao H,Reinhorn A M,Soong T T.Design of an active mass damper for a tall TV tower in Nanjing China[J].Engineering Structures,1998,20(3):134―143.
[7]Wu Jong-Cheng,Yang Jann N.LQG control of lateral-torsional motion of Nanjing TV transmission tower[J].Earthquake Engineering and Structural Dynamics,2000,29:1111―1130.
[8]Liu Tielin,Liu Kaishin,Zhang Jinxiang.Unstructured gird method for stress wave propagation in elastic media[J].Comput.Methods Appl Mech.Engrg.,2004,193(23-26):2427―2452.
[9]刘铁林,姜迎春,刘伟.地震作用下高层结构动力响应分析的一种数值方法[J].工程力学,2008,25(增刊I):175―178.Liu Tielin,Jiang Yingchun,Liu Wei.A numerical method for dynamic response analysis in high-rise structures under seismic load[J].Engineering Mechanics,2008,25(Sup.I):175―178.(in Chinese)
[10]Wu J R,Li Q S.Finite element model updating for a high-rise structure based on ambient vibration measurements[J].Engineering Structures,2004,26:979―990.
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