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    馬  星  鄧洪洲  王肇民
    (同濟(jì)大學(xué)  上海 200092)

提要]  基于Lagrange方程，考慮高層和鋼塔基本振型，建立塔、樓體系耦合振動(dòng)方程。忽略塔體對(duì)高層振動(dòng)的影響，可將該方程解耦，鋼塔振動(dòng)激勵(lì)為隨機(jī)脈動(dòng)風(fēng)荷載和樓頂振動(dòng)加速度。分別計(jì)算兩種激勵(lì)下的塔體振動(dòng)響應(yīng)，可以得到樓頂塔風(fēng)振響應(yīng)實(shí)用計(jì)算公式和表格。計(jì)算實(shí)例表明，文中提出的方法簡(jiǎn)單、實(shí)用，計(jì)算精度滿(mǎn)足工程要求。
[關(guān)鍵詞]  樓頂塔  風(fēng)致振動(dòng)  高層建筑  計(jì)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