大底盘多塔楼结构的振动计算*
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包世华 (清华大学土木系 北京 100084)王建东 (河北省建筑设计研究院 石家庄 050011)[提要] 本文用沿高度方向分段连续化的方法,对底部为大底盘、上部为多塔楼的高层建筑结构,建立了其水平振动的微分方程组。用常微分方程求解器COLSYS求解其自振频率及相应的振型,讨论了其振动的特性,为复杂结构提供了一种可用于设计的动力计算简化方法。
[关键词] 高层建筑结构 大底盘 多塔楼 水平振动 解析解 动力特性In this paper, firstly using the commonly used continuum technique for multi-towers with enlarged base in the lower floors, a new piecewise continuous vibrational model is established. Then, the vibrational differential equations for the model have been derived. Secondly, using the ODE (Ordinary Differential Equation) solver, which is a general-purpose program developed for solving various ODE problems including eigen value problem, the natural frequencies and vibrational modes have been obtained, and the dynamical behaviours for different parameters are discussed.
Keywords: tall building structure; multi-towers; enlarged base; horizontal vibration; dynamical behaviours