地下结构衬砌计算可归结为非线性常微分方程组的边值问题。由于地层弹性抗力的影响,不仅使方程组成为非线性的,而且使方程组解的二阶导数存在一些未知间断点。因此,若按通常习惯取若干个固定的分点进行离散化求解,就会使建立在解具有充分光滑性基础上的各种高精度差分格式失去意义,计算效率无法提高。本文提出处理这类问题的一种新方法——“临时分点法”,较好地解决了上述矛盾。在网格不加密的前提 The calculation of underground structural lining can be attributed to the boundary value problem of nonlinear ordinary differential equations. Due to the influence of formation elastic resistance, not only the equations are made nonlinear, but also there are some unknown discontinuities in the second derivative of the solution of the equations. Therefore, if we take a fixed number of fixed points for discretization in accordance with the usual habits, it will lose the meaning of various high-precision difference formats based on the full smoothness of the solution, and the computational efficiency cannot be improved. This paper proposes a new method to deal with this type of problem, the “provisional point division method”, which better solves the above contradictions. The premise that the grid is not encrypted