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.
出处
《工程力学》
EI
CSCD
北大核心
2008年第A02期164-167,共4页
Engineering Mechanics
基金
辽宁省教育厅科研计划项目(20060712)
沈阳建筑大学重点实验室开放基金项目(JG200719)
关键词
工程力学
动力响应
波动方法
高耸结构
转动惯性
电视塔
engineering mechanics
dynamic response
wave approach
high-rise structure
rotational inertia
TV tower
