弹性薄板的条形传递函数单元模型

An Element Model with Strip Distributed Transfer Function Method for Elastic Thin Plates

应用改进的条形传递函数方法 ,建立了弹性薄板的二结线四自由度条形单元模型 ,用于分析系统的静力响应。用结线将矩形区域划分为条形单元 ,将边界结线离散 ,以内部结线和边界结点的位移和转角为未知量 ,采用三次插值 ,得到能够与有限元单元耦合求解的超级单元。利用广义函数给出了一种精确积分方法 ,可以得到有关矩阵的显式表达 ,得到提高了求解精度和效率。

Using modified strip distributed transfer function method, a strip element model with two nodal lines and four degrees of freedom is built for the analysis of static response. The rectangular region is divided into strips by nodal lines. The border lines are discrete. The displacements and angles of the inner lines and boundary nodes are unknown. An super element, which can couple with finite elements, is given using cubic interpolation. By using generalized function, an accurate integration method is developed to get the explicit formulation of the matrixes involved. This can improve the accuracy and efficiency of the method.