Abstract: This paper deals with dynamic response of tall buildings due to the action of random wind loading.Assuming the distributed mass of the structure is lumped at each of its floor,we start to estallish the fundamental differential equation of the multi-degree-of-freedom system.By using the normal mode equation and stochastic process,we derive the relation between generalized displacement power spectrum and the wind velocity spectrum.In accordance with the result of this paper,we shall be able to otain the approximate response spectrum of the displacement of each floor.

Key words: tall building, wind loading, corresponding function, rcponse spectrum

摘要： 本文研究高层建筑在随机风荷作用下的动力响应。文中将结构质量分别集中在各层楼面处,首先建立多自由度结构体系的基本振动微分方程,再利用振型运动方程及随机过程,推导出广义速度响应谱与脉动风速响应谱间的关系,最后指出求各层楼面位移响应谱的近似方法。

关键词: 高层建筑, 振型, 风荷, 相关函数, 响应谱