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本文用有限元线法对变截面的高层筒体结构的动力特性进行分析.先用分段连续化方法将实际框筒结构等效为变截面的正交各向异性折板结构;将结构沿一个方向(横向)半离散化,取结线位移为基本未知函数,通过势能驻值原理,建立半解析的振动微分方程组;然后用常微分方程求解器COLSYS求解频率和振型.为多维结构的振动分析提供了一个半解析的新解法.
In this paper, the dynamic characteristics of high-rise tubular structures with variable cross-sections are analyzed by the finite element method. First, the actual framed tube structure is equivalent to an orthotropic folding plate structure with variable cross-sections using a piecewise continuous method. One direction (horizontal) is semi-discretized, and the knot displacement is taken as a basic unknown function. A semi-analytical vibration differential equation group is established by the potential energy resident value principle; then the frequency and mode shape are solved by the ordinary differential equation solver COLSYS. The vibration analysis provides a semi-analytic new solution.