To address the issue of discontinuous deformation at joints, the finite difference method is employed.

为了解决节理处不连续变形问题，采用了有差分法。

In the proposed approach, the solution is determined using the finite difference method.

在所提出方法中，解是使用有差分法确定。

The finite element method and the finite difference method are the two main numerical methods to analyze the geotechnical engineering problems.

有元法和有差分法是分析岩土工程问题两种主要数值方法。

In this method, the longitudinal displacement solution matrix of the tunnel is obtained by using the finite difference method.

该方法采用有差分法得到隧道纵向位移解矩阵。

Keywords: surface surcharge; existing tunnel; finite difference method; Pasternak foundation model; parameter prediction formula 1.

关键词：地表附加费;现有隧道;有差分法;尔纳克地基模型;参数预测公式 1.

First, as shown in Figure 6, the finite difference method is carried out for tunnels and other elements.

首先，如图 6 所示，对隧道和其他单元进行有差分法。

Comparison of Calculation Results of Finite Difference Method and Theoretical Analysis Method Finally, the engineering guidance value of this study needs to be discussed.

有差分法与理论分析法计算结果对比最后，对本研究工程指导价值有待商讨。

Moreover, the finite difference method based on the single-variable formulation is employed to solve the issue of discontinuous deformation at circumferential joints, simplifying the calculation on the Timoshenko beam model.

此外，采用基于单变量公式有差分法解决了圆周节理处不连续变形问题，简化了 Timoshenko 梁模型计算。

Using the corrected reaction coefficient of the foundation bed, the differential equation of tunnel deformation was established, and the longitudinal displacement matrix of the tunnel was calculated using the finite difference method.

利用修正后基床反作用系数，建立隧道变形微分方程，采用有差分法计算隧道纵向位移矩阵。

However, the finite difference method seems to be more effective in the solution of the large deformation problems of geotechnical engineering, which is also the reason for choosing the finite difference method in this study.

然而，有差分法在解决岩土工程大变形问题方面似乎更有效，这也是本研究选择有差分法原因。

The adjusted coefficient of the bed pressure is used to establish the differential equation of tunnel deformation, and the finite difference method is used to obtain the tunnel longitudinal displacement matrix.

利用调整后床压系数建立隧道变形微分方程，采用有差分法得到隧道纵向位移矩阵。

Using the corrected reaction coefficient of the foundation bed, the differential equation of tunnel deformation was established, and the solution matrix of the longitudinal displacement of the tunnel was obtained by using the finite difference method.

利用修正后基床反作用系数，建立隧道变形微分方程，采用有差分法得到隧道纵向位移解矩阵。

In general, the curve trend of theoretical analysis method is basically the same as that of finite difference method, and the maximum displacement of tunnel obtained by the two methods is not much different.

一般来说，理论分析法曲线趋势与有差分法基本相同，两种方法得到隧道最大位移相差不大。