SEMI-ANALYTICAL ANALYSIS FOR FREE VIBRATION OF SUPER TALL BUNDLED-TUBE STRUCTURES WITH SUBGRADE DEFORMATION
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摘要: 该文建立了超高层建筑束筒结构与其基础、地基共同工作的具有连续分布质量特性的三维半解析自由振动分析模型，也就是将超高层建筑束筒结构等效连续化为一个支撑在半无限大弹性地基上的具有连续分布质量特性的加劲薄壁筒组合体，然后选取适当的节线对其进行划分，并用定义在这些节线上的形变未知函数作为广义坐标，把超高层建筑束筒结构的自由振动问题，运用能量原理转化为这些未知函数的常微分方程组的特征值问题，再利用高质高效的常微分方程求解器进行求解。算例结果表明：模型的简化是合理的、可行的。并总结出了几点有工程参考价值的结论，从而为超高层建筑束筒结构考虑地基、基础以及上部结构的整体动力分析提供了一种新的分析方法。Abstract: This paper establishes a semi-analytical three-dimensional model for the super tall bundled-tube structure considering interactions between the subgrade, foundation and the superstructure. It is a combination of stiffened-thin-walled tubes with continuously distributed mass and stiffness, and supported on the semi-infinite elastic subgrade. The free vibration analysis of the model is, by principle of energy, transformed into solving eigenvalues of a set of ordinary differential equations (ODEs). The eigenvalues are solved by COLSYS, an ODEs solver. The efficiency and accuracy of the simplified semi-analytical model are verified by an example, and some conclusions are obtained.
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