A slope anchor cable prestressing analysis method and system

Abstract

The present invention relates to the technical field of slope anchor cable analysis, and specifically to a slope anchor cable prestressing analysis method and system. The present application performs grid division based on pre-set slope anchor cable points, and then performs limit equilibrium analysis on each grid to obtain the initial prestress of multiple anchor cables. Since the limit equilibrium analysis is performed based on grids at different positions, there may be local or overall non-smoothness between the obtained initial prestresses, so the overall and local smoothness of the multiple initial prestresses is extracted. When there is overall or local non-smoothness, smoothing iteration is performed, so that all slope anchor cables present stress smoothness in both the overall and local areas, avoiding the phenomenon of local overload or stress concentration, and effectively protecting the concrete grid structure outside the slope.

Description

Technical Field

[0001] The present invention relates to the technical field of slope anchor cable analysis, in particular to a slope anchor cable prestressing analysis method and system. Background Art

[0002] Figure 1 This is a schematic diagram of the slope anchor reinforcement structure. Figure 1 As shown, when there is a risk of landslide on the slope, anchor cables will be used for reinforcement. One end of the anchor cable will be driven into the rock inside the slope through a drill hole, and then grouting will be done in the anchor hole. The exposed part will be grooved and fixed with reinforced concrete grid. The working end remaining outside the slope will be cut and concreted after tension and prestressing to complete the reinforcement.

[0003] During this process, the prestressing design must meet both the overall slope stability and localized anti-slip requirements, typically requiring a slope anti-slip safety factor of 1.3 or greater. On-site anchor cable prestressing is generally uniform, with prestressing adjusted solely by cable length. However, due to inconsistent initial safety factors at various slope locations and errors during construction, prestressing can be uneven at different locations, leading to localized overload or stress concentration, and compromising the overall stability of the slope anchor cables. Summary of the Invention

[0004] In view of this, the purpose of the present invention is to provide a slope anchor cable prestressing analysis method and system to solve the above technical problems.

[0005] In order to achieve the above object, the present invention adopts the following technical solutions:

[0006] A slope anchor cable prestressing analysis method of the present invention comprises the following steps:

[0007] Obtain the predetermined positions of multiple slope anchor cables and obtain geological data of the slope soil;

[0008] Delineating slope grids based on predetermined positions of a plurality of slope anchor cables, and calculating initial safety factors of the plurality of slope grids based on geological data of the slope soil, wherein the initial safety factors of the plurality of slope grids are calculated based on a strip method;

[0009] Based on the initial safety factors of multiple slope grids and the set target safety factors, the initial prestress of the anchor cables corresponding to the multiple slope grids is calculated;

[0010] Extract the global smoothness and local smoothness of the initial prestress of the anchor cables corresponding to multiple slope grids;

[0011] The overall smoothness is compared with a preset overall smoothness threshold, and the local smoothness is compared with a preset local smoothness threshold; when the overall smoothness is less than the overall smoothness threshold, or the local smoothness is less than the local smoothness threshold, the initial prestress of the anchor cables corresponding to the multiple slope grids is smoothed iteratively to obtain the target prestress of the anchor cables corresponding to the multiple slope grids.

[0012] The present application also provides a slope anchor cable prestressing analysis system, comprising:

[0013] An acquisition module is used to obtain the predetermined positions of multiple slope anchor cables and obtain geological data of the slope soil;

[0014] a first calculation module, configured to define slope grids based on predetermined positions of a plurality of slope anchor cables, and calculate initial safety factors of the plurality of slope grids based on geological data of the slope soil, wherein the initial safety factors of the plurality of slope grids are calculated based on a strip method;

[0015] The second calculation module is used to calculate the initial prestress of the anchor cables corresponding to the multiple slope grids based on the initial safety factors of the multiple slope grids and the set target safety factors;

[0016] A smoothness extraction module is used to extract the overall smoothness and local smoothness of the initial prestress of the anchor cables corresponding to multiple slope grids;

[0017] A smoothing processing module is used to compare the overall smoothness with a preset overall smoothness threshold, and to compare the local smoothness with a preset local smoothness threshold; when the overall smoothness is less than the overall smoothness threshold, or the local smoothness is less than the local smoothness threshold, to perform smoothing iterative processing on the initial prestress of the anchor cables corresponding to the multiple slope grids to obtain the target prestress of the anchor cables corresponding to the multiple slope grids.

[0018] The beneficial effects of the present invention are as follows: a slope anchor cable prestressing analysis method and system of the present invention, the present application performs grid division based on pre-set slope anchor cable points, and then performs limit equilibrium analysis on each grid to obtain the initial prestress of multiple anchor cables. Since the limit equilibrium analysis is performed based on grids at different positions, there may be local or overall non-smoothness between the obtained initial prestresses, so the overall and local smoothness of the multiple initial prestresses are extracted. When there is overall or local non-smoothness, smoothing iteration is performed, so that all slope anchor cables present stress smoothness overall and locally, avoiding the phenomenon of local overload or stress concentration, and effectively protecting the concrete grid structure outside the slope. BRIEF DESCRIPTION OF THE DRAWINGS

[0019] The present invention will be further described below in conjunction with the accompanying drawings and embodiments:

[0020] Figure 1 This is a structural diagram of the slope anchor reinforcement structure;

[0021] Figure 2 This is a flow chart of a slope anchor cable prestressing analysis method in one embodiment of the present application;

[0022] Figure 3 This is a schematic diagram of a slope grid in an embodiment of the present application;

[0023] Figure 4 is a schematic diagram of a slope cross section in one embodiment of the present application;

[0024] Figure 5 Schematic diagram of a smooth iterative processing flow in one embodiment of the present application;

[0025] Figure 6 This is a structural diagram of a slope anchor cable prestressing analysis system in one embodiment of the present application. DETAILED DESCRIPTION

[0026] Smoothness in this application refers to the continuity and consistency of the spatial distribution of prestress of multiple anchor cables, avoiding excessive prestress gradients or local stress concentrations between adjacent anchor cables. Smooth prestress distribution can reduce local stress concentration and reduce the risk of rock and soil damage. When multiple anchor cables work together, the smooth stress field can transfer loads more evenly and improve the overall slope stability. At the same time, it can also avoid anchor fatigue or concrete grid cracking caused by sudden stress changes.

[0027] Figure 2 This is a flow chart of a slope anchor cable prestressing analysis method in one embodiment of the present application. Figure 2 As shown, the slope anchor cable prestressing analysis method in this application includes:

[0028] S210, obtaining predetermined positions of multiple slope anchor cables and obtaining geological data of the slope soil;

[0029] The predetermined positions of the slope anchor cables are extracted from the design documents constructed in the early stage, and the geological data of the slope rock and soil are obtained by sampling the slope. The geological data include the internal friction angle ϕ, cohesion c, elastic modulus E, Poisson's ratio μ, pore water pressure u, etc.

[0030] In order to intuitively represent the predetermined positions of multiple slope anchor cables, this application constructs a two-dimensional position coordinate system on the slope surface, and its horizontal coordinate is , the vertical axis is .

[0031] S220, delineating slope grids based on predetermined positions of the plurality of slope anchor cables, and calculating initial safety factors of the plurality of slope grids based on geological data of the slope soil, wherein the initial safety factors of the plurality of slope grids are calculated based on a strip method;

[0032] In order to facilitate regional analysis, this application divides the slope into multiple grids based on the predetermined positions of the slope anchor cables. The process includes:

[0033] S2201, obtaining geometric data of the slope, and performing modeling based on the geometric data of the slope to obtain a slope model;

[0034] This application is modeled in finite element analysis software, and geological data are introduced into the model, and boundary conditions are constrained to facilitate subsequent stress field superposition analysis.

[0035] In the process of smoothing analysis, only the collective model is required, so the slope model can be a three-dimensional geometric model.

[0036] S2202, mapping the predetermined positions of the plurality of slope anchor cables to the slope model, and taking the center point of the line connecting any two adjacent predetermined positions as a reference point;

[0037] Based on the horizontal axis constructed in the previous article , vertical coordinate Determine the 2D coordinates of the intended location of each slope anchor cable , and then the two-dimensional coordinates Mapped to the slope model, any two horizontally adjacent or vertically adjacent two-dimensional coordinates are connected, and the midpoint of the connection line is taken to obtain the reference point.

[0038] S2203: Delineate a slope grid based on the reference points, wherein the slope grid is a rectangular frame constructed by adjacent reference points.

[0039] Figure 3 This is a schematic diagram of the slope grid in one embodiment of the present application. The slope grid obtained by division is as follows: Figure 3 shown.

[0040] After obtaining the slope mesh, a limit equilibrium analysis is performed based on the slope mesh to obtain the initial prestress of the anchor cable corresponding to each slope mesh. The process includes:

[0041] S2211, determining multiple sections of the slope, wherein the sections of the slope coincide with positions of the anchor cables;

[0042] Figure 4 This is a schematic diagram of a slope section in an embodiment of the present application. The slope section is determined as follows: Figure 4 shown.

[0043] S2212, calculating a sliding surface of each section, and dividing the slope soil layer into a plurality of soil strips based on the sliding surface and the slope grid, wherein a vertical projection of the slope grid is consistent with a cross section of the soil strip;

[0044] The sliding surface is When it moves, it forms an interface with the immovable body (parent body) and slides down along it. This surface is called the sliding surface, or simply the sliding surface. The sliding surface is usually steep at the top and gentle at the bottom, approximately This application uses the arc method to delineate the sliding surface of each section, that is, the 4.5H principle is used to quickly locate the sliding surface. Alternatively, the soil constitutive model (such as Mohr-Coulomb) and strength parameters (cohesion c, internal friction angle ϕ) are input into the finite element model. The boundary conditions of the prestressed anchorage (such as the pre-tension of the anchor cable and the constraint of the anchor section) are applied. The sliding surface (high strain area) is determined by the equivalent plastic strain cloud map. The sliding surface obtained is as follows Figure 4 shown.

[0045] S2213, extracting the geometric characteristics and self-weight of each soil strip, performing limit equilibrium analysis based on the geometric characteristics and self-weight of the soil strip and the geological data of the slope soil, and obtaining the initial safety factor of the slope grid corresponding to the multiple soil strips , The two-dimensional coordinates of the soil strip mapped to the slope surface.

[0046] Geometric features include the angle between the sliding surface and the horizontal plane , arc length of the soil strip ground etc. The weight of soil strips This can be estimated using the soil sampling density and the model volume.

[0047] The typical safety factor calculation formula is:

[0048]

[0049] Where, To neglect the lateral stress between soil strips, the overall safety factor of the slope is: For coordinates Corresponding to the cohesion of the soil strip, For coordinates The pore water pressure of the corresponding soil strip is For coordinates Corresponding to the internal friction angle of the soil strip.

[0050] The above formula calculates an overall safety factor, but due to differences in geometric characteristics and geotechnical parameters at each location, directly using the overall safety factor to calculate the initial prestress may result in the anchor cable prestress being out of sync with actual conditions. This can mask local weaknesses (e.g., insufficient shear strength in a particular soil strip). Relying solely on the overall safety factor can lead to irrational prestress distribution (e.g., overdesign in high-safety-factor areas and underdesign in low-safety-factor areas). Therefore, this application utilizes a strip-based approach to separately calculate the safety factors for multiple anchor cables corresponding to their respective plots, and calculates the initial prestress based on these individual safety factors.

[0051] S230, calculating the initial prestress of the anchor cables corresponding to the plurality of slope grids based on the initial safety factors of the plurality of slope grids and the set target safety factors;

[0052] Calculate the initial safety factor of multiple slope grids calculated in the previous article

[0053] S1, set the prestress of the anchor cable corresponding to each slope grid , and based on the prestressing of the anchor cable Calculating the anti-slip force of anchor cables , , where For the Each slope grid corresponds to the angle between the anchor cable and the horizontal plane;

[0054] S2, the anti-slip force Initial safety factor introduced into the slope mesh The updated safety factor is obtained , updated safety factor The mathematical expression is:

[0055]

[0056]

[0057]

[0058] Where, , is the anti-sliding force of the soil strip corresponding to the slope grid, is the sliding force of the soil strip corresponding to the slope grid;

[0059] S3, based on updated safety factors and the set target safety factor The difference between , and in When increasing or decreasing the set prestress The value of , and return to step S2, until ,in, is the set difference threshold;

[0060] In this embodiment, the initial prestressing The setting is an empirical value, and the adjustment amount for each iteration can be a fixed value or other values. For example, in each iteration, the adjustment amount is different from the current value. Related, in this application, the adjustment amount The mathematical expression is:

[0061]

[0062] Where, The unit adjustment amount is weighted by using the difference, so that the adjustment can be made quickly in the initial stage, and the adjustment amount is more refined when it tends to converge in the later stage of adjustment, avoiding over-adjustment.

[0063] S4, in When the initial prestress of the anchor cable corresponding to each slope grid is obtained .

[0064] exist When the adjustment converges, the initial prestress of the anchor cable is The safety factor of the corresponding soil strip can reach the target value, for example, 1.3.

[0065] S240, extracting the overall smoothness and local smoothness of the initial prestress of the anchor cables corresponding to the plurality of slope grids;

[0066] Since the initial prestressing force of each soil strip anchor cable was calculated separately in the previous article, this design, combined with the soil strip-level safety factor analysis and prestressing design, can achieve a refined upgrade of slope stability analysis "from overall to local", providing more scientific decision-making support for engineering design. However, it also brings new problems. If there is local or overall stress unevenness, it will cause stress concentration or unevenness in the slope anchor cable as a whole, resulting in a decrease in the overall stability of the slope anchor cable. To solve the above problems, this application needs to smooth the initial prestressing force of multiple anchor cables to obtain the final prestressing design value.

[0067] Based on the above purpose, the global smoothness and local smoothness are first extracted from the initial prestress of the anchor cables corresponding to multiple slope grids:

[0068] (1) Overall smoothness

[0069] S2401, initial prestressing of anchor cables corresponding to multiple slope grids Perform normalization processing to obtain the normalized prestress of the anchor cables corresponding to multiple slope grids ;

[0070] Normalize the initial prestress of the anchor cables in each slope grid (e.g., maximum-minimum normalization or Z-score normalization) and map it to a uniform numerical range (e.g., 0 to 1). This eliminates the dimensional differences in prestress values ​​between different grids and unifies the data scale.

[0071] S2402, calculate the normalized prestress difference of the anchor cables corresponding to any adjacent slope grids , and calculate the normalized prestress difference of the anchor cable corresponding to any longitudinally adjacent slope grids ;

[0072] Normalized prestress differences quantify prestress differences between adjacent meshes and identify localized inhomogeneities. Larger differences indicate more uneven prestress distribution across adjacent meshes, potentially indicating localized stress concentration or understress. This localized difference data can be used for subsequent total variation calculations.

[0073] S2403, based on the normalized prestress difference of the anchor cables corresponding to any adjacent slope grids Calculate total lateral variation , , and the normalized prestress difference of the anchor cables corresponding to any longitudinally adjacent slope grids Calculate the total longitudinal variation ,in, is the number of horizontal anchor cables, is the number of longitudinal anchor cables;

[0074] The larger the total variation, the less smooth the prestress distribution; conversely, the smaller the total variation, the more uniform the prestress distribution. This provides a quantitative basis for the subsequent construction of the overall smoothness index.

[0075] S2404, based on the total lateral variation and the total longitudinal variation Build overall smoothness .

[0076] During initial prestressing design, anchor cable prestress at different locations may vary significantly due to geological conditions or design errors, leading to localized stress concentration (e.g., excessive prestress in some areas and insufficient prestress in others). In this embodiment, normalization and total variation calculation are used to quantify the unevenness of prestress distribution. This provides a basis for subsequent smoothness optimization. The anchor cable prestress values ​​are optimized based on overall smoothness, resulting in uniform prestress in both the transverse and longitudinal directions, reducing the risk of localized stress concentration. The transverse and longitudinal total variations reflect horizontal and vertical unevenness, respectively, and accommodate the complexities of asymmetric sliding surfaces or multiple overlapping sliding surfaces. Prestress distribution is dynamically adjusted using the smoothness metric to ensure that prestress in critical areas (such as near faults) meets design requirements. In slope anchoring projects (such as anchor meshes and anti-slip piles), this method optimizes prestress distribution and avoids the risk of localized instability. For example, in the design of a steep rock slope, smoothness analysis revealed a large difference in longitudinal prestress in a certain section. Adjusting the anchor cable layout increased the overall safety factor by 15%.

[0077] (2) Local smoothness

[0078] S2411, normalized prestressing of anchor cables corresponding to multiple slope grids Map it to a two-dimensional position coordinate system, and extract the normalized prestress of the anchor cable corresponding to a fixed number of slope grids in the two-dimensional position coordinate system based on a pre-built sliding window ;

[0079] S2412, calculate the normalized prestress of anchor cables corresponding to a fixed number of slope grids The average value of the sliding window is used to calculate the normalized prestress Maximum deviation from the mean , and the maximum deviation rate The reciprocal of as local smoothness.

[0080] In this embodiment, a sliding window is used to extract the prestress distribution characteristics of local areas, accurately identifying regions with high deviation rates (i.e., areas of local inhomogeneity). The local smoothness index can directly pinpoint inhomogeneities in specific grids or regions (e.g., if the stress within a sliding window is too low), providing a basis for optimizing anchor cable placement. The two-dimensional spatial features extracted by the sliding window can accommodate inhomogeneities in any direction (e.g., horizontal, vertical, or diagonal distribution).

[0081] Furthermore, by adjusting the window size (e.g., w = 3 × 3 or w = 5 × 5), local features of varying scales (e.g., small-scale stress concentrations or large-scale distribution trends) can be flexibly captured. In anchor cable mesh design, local smoothness metrics can be used to identify critical areas (e.g., sliding surface edges) and prioritize the optimization of prestress distribution in these areas.

[0082] For example, this method was used to find that within a sliding window on the slope of an open-pit mine, △max = 0.3 (i.e., the maximum deviation of prestressing reached 30%), so it is obvious that there is local stress unevenness.

[0083] The smoothness of multiple anchor cable prestressing is comprehensively analyzed by combining global smoothness and local smoothness in order to resolve the contradiction between global and local coordinated optimization in slope stability design and ensure that the prestressing distribution meets the requirements of overall uniformity while taking into account the reliability of local details.

[0084] S250, comparing the overall smoothness with a preset overall smoothness threshold, and comparing the local smoothness with a preset local smoothness threshold; when the overall smoothness is less than the overall smoothness threshold, or the local smoothness is less than the local smoothness threshold, performing smoothing iterative processing on the initial prestress of the anchor cables corresponding to the multiple slope grids to obtain target prestress of the anchor cables corresponding to the multiple slope grids.

[0085] Since the overall smoothness includes two parameters, horizontal smoothness and vertical smoothness, the logic of comparing the overall smoothness with the preset smoothness threshold is: Compare with the preset horizontal smoothness threshold and set the vertical smoothness Compare with the preset longitudinal smoothness threshold; is less than the horizontal smoothness threshold, and the vertical smoothness When the value is less than the longitudinal smoothness threshold, it is determined that the overall smoothness is less than the preset overall smoothness threshold.

[0086] If the above comparison shows that the overall smoothness or local smoothness is small (i.e., there is an overall or local stress unevenness), the following smoothing iterative processing is performed: Figure 5 This is a schematic diagram of a smooth iterative processing flow in an embodiment of the present application. Figure 5 Shown, including:

[0087] S251, taking the initial prestress of the anchor cable as the minuend and the initial prestress of the adjacent anchor cables in the transverse direction and the adjacent anchor cables in the longitudinal direction as the subtrahends, and obtaining a plurality of difference values , and calculate the absolute value of the sum of multiple differences , and obtain the local stress difference of multiple anchor cables, where Indicates the serial number of adjacent anchor cables;

[0088] Specifically, the local stress difference reflects the difference between the initial prestress of the anchor cable and the initial prestress of all adjacent anchor cables.

[0089] S252, taking the anchor cable with the largest current local stress difference as the target anchor cable, and adjusting the initial prestress of the target anchor cable to the average of the initial prestresses of the anchor cables adjacent to the target anchor cable in the transverse direction and adjacent to the target anchor cable in the longitudinal direction;

[0090] The goal of this application is to minimize the overall amount of adjustment and the number of adjustments, so as to preserve the initial prestress of each anchor cable as much as possible. Therefore, each adjustment is only made to the anchor cable with the largest local stress difference. The adjustment method is to calculate the average initial stress of all anchor cables adjacent to the target anchor cable and adjust the initial stress of the target anchor cable to the average value, thereby achieving smoothing.

[0091] S253, return to extracting the overall smoothness and local smoothness of the initial prestress of the anchor cables corresponding to the multiple slope grids, until the overall smoothness is greater than or equal to the overall smoothness threshold, and the local smoothness is greater than or equal to the local smoothness threshold, to obtain the target prestress of the anchor cables corresponding to the multiple slope grids.

[0092] After each adjustment, the overall smoothness and local smoothness are recalculated. If the smoothness is not satisfied, the process returns to step S252 and iterates until the smoothness is satisfied. After the smoothness is satisfied, the final prestress design values ​​of all anchor cables are obtained.

[0093] Furthermore, after obtaining the prestress design values ​​for all anchor cables, they were incorporated into the finite element analysis model. After setting the stress field propagation angle, a superposition analysis was performed. The spacing between anchor cables was then adjusted to minimize soil overload caused by superposition. This resulted in a more scientific and standardized anchor cable design.

[0094] The present invention provides a slope anchor cable prestressing analysis method. The present application performs grid division based on pre-set slope anchor cable points, and then performs limit equilibrium analysis on each grid to obtain the initial prestress of multiple anchor cables. Since the limit equilibrium analysis is performed separately based on grids at different positions, there may be local or overall non-smoothness between the obtained initial prestresses, so the overall and local smoothness of the multiple initial prestresses are extracted. When there is overall or local non-smoothness, smoothing iteration is performed, so that all slope anchor cables present stress smoothness both overall and locally, avoiding the phenomenon of local overload or stress concentration, and effectively protecting the concrete grid structure outside the slope.

[0095] Figure 6 This is a structural diagram of the slope anchor cable prestressing analysis system in one embodiment of the present application, as shown in FIG. Figure 6 As shown, the present application also provides a slope anchor cable prestressing analysis system, comprising:

[0096] An acquisition module is used to obtain the predetermined positions of multiple slope anchor cables and obtain geological data of the slope soil;

[0097] a first calculation module, configured to define slope grids based on predetermined positions of a plurality of slope anchor cables, and calculate initial safety factors of the plurality of slope grids based on geological data of the slope soil, wherein the initial safety factors of the plurality of slope grids are calculated based on a strip method;

[0098] The second calculation module is used to calculate the initial prestress of the anchor cables corresponding to the multiple slope grids based on the initial safety factors of the multiple slope grids and the set target safety factors;

[0099] A smoothness extraction module is used to extract the overall smoothness and local smoothness of the initial prestress of the anchor cables corresponding to multiple slope grids;

[0100] A smoothing processing module is used to compare the overall smoothness with a preset overall smoothness threshold, and to compare the local smoothness with a preset local smoothness threshold; when the overall smoothness is less than the overall smoothness threshold, or the local smoothness is less than the local smoothness threshold, to perform smoothing iterative processing on the initial prestress of the anchor cables corresponding to the multiple slope grids to obtain the target prestress of the anchor cables corresponding to the multiple slope grids.

[0101] The present invention provides a slope anchor cable prestressing analysis system. The present application performs grid division based on pre-set slope anchor cable points, and then performs limit equilibrium analysis on each grid to obtain the initial prestress of multiple anchor cables. Since the limit equilibrium analysis is performed based on grids at different positions, there may be local or overall non-smoothness between the obtained initial prestresses, so the overall and local smoothness of the multiple initial prestresses are extracted. When there is overall or local non-smoothness, smoothing iteration is performed, so that all slope anchor cables present stress smoothness both overall and locally, avoiding the phenomenon of local overload or stress concentration, and effectively protecting the concrete grid structure outside the slope.

Claims

1. A slope anchor cable prestressing analysis method, characterized in that: Including steps: Obtain the predetermined positions of multiple slope anchor cables and obtain geological data of the slope soil; Delineating slope grids based on predetermined positions of a plurality of slope anchor cables, and calculating initial safety factors of the plurality of slope grids based on geological data of the slope soil, wherein the initial safety factors of the plurality of slope grids are calculated based on a strip method; Based on the initial safety factors of multiple slope grids and the set target safety factors, the initial prestress of the anchor cables corresponding to the multiple slope grids is calculated; Extract the global smoothness and local smoothness of the initial prestress of the anchor cables corresponding to multiple slope grids; The overall smoothness is compared with a preset overall smoothness threshold, and the local smoothness is compared with a preset local smoothness threshold; when the overall smoothness is less than the overall smoothness threshold, or the local smoothness is less than the local smoothness threshold, the initial prestress of the anchor cables corresponding to the multiple slope grids is smoothed iteratively to obtain the target prestress of the anchor cables corresponding to the multiple slope grids; the overall smoothness of the initial prestress of the anchor cables corresponding to the multiple slope grids is extracted, including: the initial prestress of the anchor cables corresponding to the multiple slope grids is smoothed iteratively. Perform normalization processing to obtain the normalized prestress of the anchor cables corresponding to multiple slope grids ; Calculate the normalized prestress difference of the anchor cable corresponding to any adjacent slope grid , and calculate the normalized prestress difference of the anchor cable corresponding to any longitudinally adjacent slope grids ; Based on the normalized prestress difference of the anchor cables corresponding to any adjacent slope grids in the horizontal direction Calculate total lateral variation , , and the normalized prestress difference of the anchor cables corresponding to any longitudinally adjacent slope grids Calculate the total longitudinal variation ,in, is the number of horizontal anchor cables, is the number of longitudinal anchor cables; Based on the total lateral variation and the total longitudinal variation Build overall smoothness ; Extract the local smoothness of the initial prestress of the anchor cables corresponding to multiple slope grids, including: normalizing the initial prestress of the anchor cables corresponding to multiple slope grids Map it to a two-dimensional position coordinate system, and extract the normalized prestress of the anchor cable corresponding to a fixed number of slope grids in the two-dimensional position coordinate system based on a pre-built sliding window ; Calculate the normalized prestress of the anchor cable corresponding to a fixed number of slope grids The average value of the sliding window is used to calculate the normalized prestress Maximum deviation from the mean , and the maximum deviation rate The reciprocal of As the local smoothness; the initial prestress of the anchor cables corresponding to the multiple slope grids is smoothed and iterated to obtain the target prestress of the anchor cables corresponding to the multiple slope grids, including: The initial prestress of the anchor cable is used as the minuend, and the initial prestress of the adjacent anchor cables in the transverse direction and the adjacent anchor cables in the longitudinal direction are used as the subtrahends to obtain multiple difference values. , and calculate the absolute value of the sum of multiple differences , and obtain the local stress difference of multiple anchor cables, where Indicates the serial numbers of adjacent anchor cables; the anchor cable with the largest current local stress difference is taken as the target anchor cable, and the initial prestress of the target anchor cable is adjusted to the average value of the initial prestresses of the horizontally adjacent anchor cables and the longitudinally adjacent anchor cables of the target anchor cable; return to extracting the overall smoothness and local smoothness of the initial prestress of the anchor cables corresponding to multiple slope grids, until the overall smoothness is greater than or equal to the overall smoothness threshold, and the local smoothness is greater than or equal to the local smoothness threshold, to obtain the target prestress of the anchor cables corresponding to the multiple slope grids.

2. A slope anchor cable prestressing analysis method according to claim 1, characterized in that: Delineate the slope mesh based on the predetermined locations of multiple slope anchor cables, including: Acquiring geometric data of the slope, and performing modeling based on the geometric data of the slope to obtain a slope model; Mapping the predetermined positions of the plurality of slope anchor cables to the slope model, and taking the center point of the line connecting any two adjacent predetermined positions as a reference point; A slope grid is defined based on the reference points, wherein the slope grid is a rectangular frame constructed by adjacent reference points.

3. A slope anchor cable prestressing analysis method according to claim 2, characterized in that: Calculating initial safety factors of multiple slope grids based on the geological data of the slope soil mass includes: Determine multiple cross sections of the slope, wherein the cross sections of the slope coincide with the positions of the anchor cables; Calculating a sliding surface for each section, and dividing the slope soil layer into a plurality of soil strips based on the sliding surface and the slope grid, wherein a vertical projection of the slope grid coincides with a cross section of the soil strip; Extract the geometric characteristics and deadweight of each soil strip, perform limit equilibrium analysis based on the geometric characteristics and deadweight of the soil strip and the geological data of the slope soil, and obtain the initial safety factor of the slope grid corresponding to multiple soil strips , The two-dimensional coordinates of the soil strip mapped to the slope surface.

4. The method for analyzing the application of prestress to slope anchor cables according to claim 1, characterized in that: Based on the initial safety factors of multiple slope grids and the set target safety factors, the initial prestress of the anchor cables corresponding to the multiple slope grids is calculated, including: S1, set the prestress of the anchor cable corresponding to each slope grid , and based on the prestressing of the anchor cable Calculating the anti-slip force of anchor cables , , where For the Each slope grid corresponds to the angle between the anchor cable and the horizontal plane; S2, the anti-slip force Initial safety factor introduced into the slope mesh The updated safety factor is obtained , updated safety factor The mathematical expression is: ； Where, , is the anti-sliding force of the soil strip corresponding to the slope grid, is the sliding force of the soil strip corresponding to the slope grid; S3, based on updated safety factors and the set target safety factor The difference between , and in When increasing or decreasing the set prestress The value of , and return to step S2, until ,in, is the set difference threshold; S4, in When the initial prestress of the anchor cable corresponding to each slope grid is obtained .

5. The method for analyzing the application of prestress to slope anchor cables according to claim 1, characterized in that: Comparing the overall smoothness with a preset smoothness threshold comprises: Set horizontal smoothness Compare it with the preset horizontal smoothness threshold and set the vertical smoothness Compare with the preset longitudinal smoothness threshold; is less than the horizontal smoothness threshold, and the vertical smoothness When the value is less than the longitudinal smoothness threshold, it is determined that the overall smoothness is less than the preset overall smoothness threshold.

6. The slope anchor cable prestressing analysis method according to claim 1, characterized in that: The predetermined positions of the plurality of slope anchor cables are obtained from a pre-constructed anchor cable position design file.

7. A slope anchor cable prestressing analysis system, characterized in that: include: An acquisition module is used to obtain the predetermined positions of multiple slope anchor cables and obtain geological data of the slope soil; a first calculation module, configured to define slope grids based on predetermined positions of a plurality of slope anchor cables, and calculate initial safety factors of the plurality of slope grids based on geological data of the slope soil, wherein the initial safety factors of the plurality of slope grids are calculated based on a strip method; The second calculation module is used to calculate the initial prestress of the anchor cables corresponding to the multiple slope grids based on the initial safety factors of the multiple slope grids and the set target safety factors; A smoothness extraction module is used to extract the overall smoothness and local smoothness of the initial prestress of the anchor cables corresponding to multiple slope grids; A smoothing processing module is used to compare the overall smoothness with a preset overall smoothness threshold, and to compare the local smoothness with a preset local smoothness threshold; when the overall smoothness is less than the overall smoothness threshold, or the local smoothness is less than the local smoothness threshold, the initial prestress of the anchor cables corresponding to the multiple slope grids is smoothed iteratively to obtain the target prestress of the anchor cables corresponding to the multiple slope grids; extract the overall smoothness of the initial prestress of the anchor cables corresponding to the multiple slope grids, including: Perform normalization processing to obtain the normalized prestress of the anchor cables corresponding to multiple slope grids ; Calculate the normalized prestress difference of the anchor cable corresponding to any adjacent slope grid , and calculate the normalized prestress difference of the anchor cable corresponding to any longitudinally adjacent slope grids ; Based on the normalized prestress difference of the anchor cables corresponding to any adjacent slope grids in the horizontal direction Calculate total lateral variation , , and the normalized prestress difference of the anchor cables corresponding to any longitudinally adjacent slope grids Calculate the total longitudinal variation ,in, is the number of horizontal anchor cables, is the number of longitudinal anchor cables; Based on the total lateral variation and the total longitudinal variation Build overall smoothness ; Extract the local smoothness of the initial prestress of the anchor cables corresponding to multiple slope grids, including: normalizing the initial prestress of the anchor cables corresponding to multiple slope grids Map it to a two-dimensional position coordinate system, and extract the normalized prestress of the anchor cable corresponding to a fixed number of slope grids in the two-dimensional position coordinate system based on a pre-built sliding window ; Calculate the normalized prestress of the anchor cable corresponding to a fixed number of slope grids The average value of the sliding window is used to calculate the normalized prestress Maximum deviation from the mean , and the maximum deviation rate The reciprocal of As the local smoothness; the initial prestress of the anchor cables corresponding to the multiple slope grids is smoothed and iterated to obtain the target prestress of the anchor cables corresponding to the multiple slope grids, including: The initial prestress of the anchor cable is used as the minuend, and the initial prestress of the adjacent anchor cables in the transverse direction and the adjacent anchor cables in the longitudinal direction are used as the subtrahends to obtain multiple difference values. , and calculate the absolute value of the sum of multiple differences , and obtain the local stress difference of multiple anchor cables, where Indicates the serial numbers of adjacent anchor cables; the anchor cable with the largest current local stress difference is taken as the target anchor cable, and the initial prestress of the target anchor cable is adjusted to the average value of the initial prestresses of the horizontally adjacent anchor cables and the longitudinally adjacent anchor cables of the target anchor cable; return to extracting the overall smoothness and local smoothness of the initial prestress of the anchor cables corresponding to multiple slope grids, until the overall smoothness is greater than or equal to the overall smoothness threshold, and the local smoothness is greater than or equal to the local smoothness threshold, to obtain the target prestress of the anchor cables corresponding to the multiple slope grids.

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