马  星  邓洪洲  王肇民
    (同济大学  上海 200092)

提要]  基于Lagrange方程，考虑高层和钢塔基本振型，建立塔、楼体系耦合振动方程。忽略塔体对高层振动的影响，可将该方程解耦，钢塔振动激励为随机脉动风荷载和楼顶振动加速度。分别计算两种激励下的塔体振动响应，可以得到楼顶塔风振响应实用计算公式和表格。计算实例表明，文中提出的方法简单、实用，计算精度满足工程要求。
[关键词]  楼顶塔  风致振动  高层建筑  计算模型

After the fundamental modes of the tall building and the tower have been considered, the second Lagrange equations have been applied, the simplified vibration equations for the coupling system of the building and the tower are derived. The equations can be decoupled when the dynamic influence of the tower to the building is omitted. Therefore, the excition of the tower is divided int0 2 parts: the acceleration at the foot of the tower and stochastic wind load. After both responses of the 2 parts are calculated, the practical formula and tables are developed. Results of an example are satisfactory as compared with those from limited element method.
Keywords: tower; tall building; wind-induced vibration; simplified model