平面问题的等参条形传递函数方法

ISOPARAMETRIC STRIPED TANSFER FUNCTION METHOD FOR PLANAR PROBLEMS

本文对条形传递函数方法进行了改进，在此基础上提出了等参条形传递函数方法，用于处理任意形状区域的平面问题。在本文方法中，一个复杂区域被划分为若干条形单元，这些单元通过等参变换映射到单位矩形区域，进而建立起位移离散模型。利用变分关系对模型处理，可以得到问题的动态控制方程。然后应用数值传递函数方法对方程求解，就可以得到系统的动力、静力响应。文后给出了数值算例并与有限元方法进行了比较。

In this paper, an isoparametric Strip Transfer Function Method (STFM) is developed for analysis of irregular plane problems. In the analysis, an irregular plane is divided into strip elements, which are mapped into square regions through isoparametric transforms. Discrete displacement model is built on the square. The dynamic equilibrium equations are derived by a variational principle. The equations are solved by the STFM, and the static and dynamic responses of the plane are obtained. Comparison is made between the results of the present model and those of the FEM.