超高层建筑空间巨型框架自由振动计算的新方法

A NEW METHOD FOR FREE VIBRATION ANALYSIS OF SPACE MEGA FRAME OF SUPER TALL BUILDINGS

  • 摘要: 该文是在前一个简化计算模型的基础上(即将空间巨型框架简化为巨型柱和弹性地基上的巨型梁的组合,二级框架柱考虑其轴向变形作为巨型梁的Winkler弹性地基,按空间刚架进行刚度分析,建筑物的质量集中于巨型梁的楼层,按空间杆系-层模型进行振动计算),进一步将巨型框架柱考虑为剪切型弹性地基上的巨型柱(二级框架梁、柱考虑其弯曲变形作为巨型柱的剪切型弹性地基),使简化振动模型更为合理,极大地提高了计算的精确度,为超高层建筑空间巨型框架的振动分析提供一个合理可行的算法。

     

    Abstract: A simplified model for evaluating stiffness or flexibility matrix used in free vibration analysis of space mega frames of super tall buildings has already be developed, which is a combination of the mega columns and beams with Winkler elastic-subgrade attained by the axial rigidity of the subsidiary columns within the mega frames. The whole mass of the structure is acted on its floors to determining the mass matrix. Thusly the proposed dynamic model was named space-member-storey model. Based on the model, a much more reasonable model is herein presented when resemble the stiffness/flexibility matrix, the mega columns of which are also simplified as members with elastic ground base obtained by the bending rigidity of the subsidiary frames within the mega frames. It is shown that the new model is rational and feasible. Consequently, a new method for the analysis of free vibration of space mega frames of super tall buildings is presented.

     

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