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本文用加权残数法对边界单元法的各种方法进行了统一的推导,在此基础上给出了能考虑体力的常数元和线性元的位移不连续法的全部公式。在常数节理单元的基础上,提出了线性位移不连续节理单元。为了更有效地解决实际问题,本文对系数矩阵作了对称化处理,同时在程序中,考虑了边界及内部单元的自动剖分。在本文的最后,给出了一些结构应力分析的算例。
In this paper, we use the method of weighted residuals to make a unified derivation of the various methods of the boundary element method. Based on this, we give all the formulas of displacement discontinuity methods that can take into account the physical constants and linear elements. Based on the constant joint element, a linear displacement discontinuous joint element is proposed. In order to solve the practical problems more effectively, the symmetrization of the coefficient matrix is performed in this paper. In the program, the automatic segmentation of the boundary and internal elements is considered. At the end of this paper, some examples of structural stress analysis are given.