Segment deformation monitoring method based on bolt deflection deformation in shield tunnel and related device

Abstract

The application discloses a shield tunnel segment deformation monitoring method based on bolt deflection deformation and related devices, and relates to the technical field of shield tunnel structure health monitoring and safety evaluation. The method comprises the following steps: acquiring a parameter set of a target bolt used for connecting a first segment and a second segment in a shield tunnel; selecting a target side and processing the inner and outer strain values of each section of the target bolt on the side to obtain the maximum deflection and the corresponding coordinate point; processing the axial strain values of each section of the target bolt on the target side to obtain a coordinate set of the end points of a key line segment; and finally processing the coordinate set of the end points of the key line segment of the target bolt to obtain the ring joint rotation center of the first and second segments and the ring joint opening angle. The method provided by the application can monitor the segment deformation in the shield tunnel and does not limit the size of the ring joint opening angle, reduces the calculation error, and more truly reflects the deformation of the segment.

Description

Technical Field

[0001] This application relates to the field of shield tunnel structural health monitoring and safety assessment technology, and in particular to a method and related device for monitoring segment deformation in shield tunnels based on bolt flexural deformation. Background Technology

[0002] A shield tunnel is an integral structure assembled from segments connected circumferentially and longitudinally by bolts. Bolts serve both as assembly and locking components and as crucial force-transmitting elements between the circumferential joints. Specifically, the axial tension of the bolts used in the circumferential splicing between adjacent segments directly reflects the opening of the circumferential joint, while their deflection reflects the relative rotation angle between the corresponding segments. In the early stages of shield tunnel service or when deformation is small, the joints of adjacent segments mainly undergo slight rigid rotation around the inner or outer edge of the joint, satisfying the rigid body rotation assumption. At this point, a simplified rigid body rotation model can be used for mechanical calculations. As the overall lateral deformation of the shield tunnel increases, the concrete stress on the pressure side of the joint concentrates and exceeds the local bearing capacity limit, leading to crushing and spalling, resulting in a redistribution of local pressure. At this point, the segment joints undergo non-rigid rotation, and the rigid body rotation assumption no longer holds. The effects of stiffness degradation in the crushing zone and pressure eccentricity must be considered. Existing technologies (such as the scheme described in the patent application document with application number CN202311359796.5) simplify the deformation of shield tunnel segment joints into a rigid body rotation model that rotates around a fixed edge point. Under the condition that the shield tunnel deformation is small and the load distribution is uniform, this scheme can meet the engineering accuracy requirements. However, under the condition that the tunnel deformation increases or the pressure distribution is uneven, non-rigid rotation occurs at the joint, resulting in a large deviation between the calculation results obtained by using this scheme and the actual measurements. Therefore, a more accurate analysis method is urgently needed. Summary of the Invention

[0003] The purpose of this application is to provide a method and related device for monitoring the deformation of tunnel segments in shield tunnels based on bolt flexural deformation. The method can dynamically solve the rotation center of the circumferential joint of the first and second tunnel segments, as well as the opening angle of the circumferential joint, through bolt deformation.

[0004] To achieve the above objectives, this application provides the following solution.

[0005] In a first aspect, this application provides a method for monitoring segment deformation in shield tunnels based on bolt flexural deformation, including: Obtain the parameter set of the target bolt; the target bolt is the bolt used to connect the first segment and the second segment in the shield tunnel; the parameter set includes the radius of the target bolt hole, and the internal strain value, external strain value and axial strain value of each section of the target bolt at the current moment; the first segment is the segment connected to the left side of the target bolt, and the second segment is the segment connected to the right side of the target bolt.

[0006] The left or right side of the origin in the target coordinate system is selected as the target side, and the internal strain value and external strain value of each section of the target bolt on the target side are processed to obtain the maximum deflection and the coordinate point corresponding to the maximum deflection. The target coordinate system is a three-dimensional coordinate system established with the center of the target bolt at the initial moment as the origin, the axis of the target bolt as the x-axis, the straight line perpendicular to the x-axis and parallel to the circumferential seam line between the first and second pipe segments at the initial moment as the y-axis, and the straight line perpendicular to the plane containing the x-axis and y-axis as the z-axis.

[0007] A second processing step is performed on the axial strain value, maximum deflection, and coordinate points corresponding to the maximum deflection of each section of the target bolt on the target side to obtain the coordinate set of the endpoints of the key line segments of the target bolt. The coordinate set of the endpoints of the key line segments includes the coordinates of the left and right endpoints of the upper key line segment, and the coordinates of the left and right endpoints of the lower key line segment. The upper key line segment is the upper edge line of the bolt segment of the target bolt located between the first and second pipe segments, and the lower key line segment is the lower edge line of the bolt segment of the target bolt located between the first and second pipe segments. The left endpoints of the upper and lower key line segments are located on the first pipe segment, and the right endpoints of the upper and lower key line segments are located on the second pipe segment.

[0008] The coordinate set of the endpoints of the key line segments of the target bolt is processed in the third step to obtain the rotation center of the circumferential joint of the first and second pipe segments and the opening angle of the circumferential joint of the first and second pipe segments.

[0009] In a second aspect, this application provides a computer device, including: a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the computer program to implement the steps of the method for monitoring segment deformation in a shield tunnel based on bolt flexural deformation as described above.

[0010] Thirdly, this application provides a computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the steps of the method for monitoring segment deformation in a shield tunnel based on bolt flexural deformation as described above.

[0011] Fourthly, this application provides a computer program product, including a computer program that, when executed by a processor, implements the steps of the method for monitoring segment deformation in a shield tunnel based on bolt flexural deformation as described above.

[0012] According to the specific embodiments provided in this application, this application has the following technical effects.

[0013] This application provides a method and related device for monitoring the deformation of tunnel segments in a shield tunnel based on bolt flexural deformation. First, a parameter set of the target bolt is obtained. The target bolt is the bolt used to connect the first and second tunnel segments in the shield tunnel. The parameter set includes the radius of the target bolt hole, and the internal strain value, external strain value, and axial strain value of each cross section of the target bolt at the current moment. The first tunnel segment is the segment connected to the left side of the target bolt, and the second tunnel segment is the segment connected to the right side of the target bolt. This step simultaneously obtains the strain values ​​of the target bolt in three directions. Compared with the traditional method that only monitors the strain in a single dimension of the target bolt, it can more comprehensively monitor the actual deformation of the target bolt. Following this, the left or right side of the origin in the target coordinate system is selected as the target side, and the internal and external strain values ​​of each section of the target bolt on the target side are processed to obtain the maximum deflection and the coordinate point corresponding to the maximum deflection. The target coordinate system is a three-dimensional coordinate system established with the center of the target bolt at the initial moment as the origin, the axis of the target bolt as the x-axis, the straight line perpendicular to the x-axis and parallel to the circumferential seam line between the first and second pipe segments at the initial moment as the y-axis, and the straight line perpendicular to the plane containing the x-axis and y-axis as the z-axis. This step obtains the maximum deflection and the coordinate point corresponding to the maximum deflection for subsequent calculations. Following this, a second processing step is performed on the axial strain values, maximum deflection, and corresponding coordinate points of each cross-section of the target bolt on the target side. This yields a set of coordinates for the endpoints of the key line segments of the target bolt. This set includes the coordinates of the left and right endpoints of the upper key line segment, and the coordinates of the left and right endpoints of the lower key line segment. The upper key line segment is the upper edge line of the bolt segment between the first and second pipe segments, and the lower key line segment is the lower edge line of the bolt segment between the first and second pipe segments. The left endpoints of both the upper and lower key line segments are located on the first pipe segment, and the right endpoints are located on the second pipe segment. This step obtains the set of coordinates for the endpoints of the key line segments of the target bolt using the data obtained in the previous step. Finally, a third processing step is performed on the set of coordinates for the endpoints of the key line segments of the target bolt to obtain the rotation center of the circumferential joint between the first and second pipe segments, as well as the opening angle of the circumferential joint between the first and second pipe segments.This application obtains the parameter set of the target bolt, calculates the maximum deflection of the target bolt at the current moment and its corresponding coordinate points, and obtains the coordinate set of the endpoints of the key line segment of the target bolt. From this, it calculates the rotation center of the circumferential joint of the first and second segments and the opening angle of the circumferential joint. On the one hand, it simultaneously obtains the strain values ​​of the target bolt in three directions, enabling more comprehensive monitoring of the actual deformation of the target bolt. On the other hand, by calculating the maximum deflection of the target bolt, it determines the coordinates of the endpoints of the key line segment of the target bolt, that is, it uses the positional relationship of the endpoints of the key line segment of the target bolt to monitor the deformation of the segments. Therefore, the method provided by this application can monitor the deformation of segments in shield tunnels without limiting the size of the circumferential joint opening angle. It overcomes the limitations of the existing technology, which converts all the deformation of segments in shield tunnels into a rigid body rotation monitoring method around the edge point of the circumferential joint, reduces calculation errors, and more realistically reflects the deformation of the segments. Attached Figure Description

[0014] To more clearly illustrate the technical solutions in the embodiments of this application or the prior art, the drawings used in the embodiments will be briefly introduced below. Obviously, the drawings described below are only some embodiments of this application. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0015] Figure 1 This is an application environment diagram of a method for monitoring segment deformation in a shield tunnel based on bolt flexural deformation, according to one embodiment of this application. Figure 2 A flowchart illustrating a method for monitoring segment deformation in a shield tunnel based on bolt flexural deformation, provided as an embodiment of this application; Figure 3(a) is a schematic diagram of a groove being formed axially on the shank of the target bolt in one embodiment provided in this application; Figure 3(b) is a schematic diagram of a groove and an axial groove being formed along the axial direction in one embodiment of the present application; Figure 4 A schematic diagram of laying a corresponding fiber Bragg grating string in a corresponding trench in one embodiment provided in this application; Figure 5 In one embodiment provided in this application, Figure 4 A schematic diagram of one section A of the target bolt; Figure 6 This is a cross-sectional schematic diagram of the shield tunnel joint and bolt configuration at the initial moment. Figure 7 This is a cross-sectional diagram of the shield tunnel joint and bolt shape when the inner side of the pipe ring is open and the tunnel deformation is small. Figure 8This is a cross-sectional diagram of the shield tunnel joint and bolt shape when the inner side of the pipe ring is open and the tunnel deformation is large. Figure 9 This is a reference diagram for monitoring the deformation of tunnel segments in a shield tunnel at the initial moment. Figure 10 This is a reference diagram for monitoring the deformation of tunnel segments in a shield tunnel at the current moment when the inner side of the tunnel ring opens. Figure 11 This is a reference diagram for monitoring the deformation of tunnel segments in a shield tunnel at the current moment when the outer edge of the tunnel ring opens. Figure 12 This is a schematic diagram of the structure of a computer device provided in one embodiment of this application.

[0016] Reference numerals in the attached figures: 1 is the target bolt; 1-1 is the upper groove; 1-2 is the lower groove; 1-3 is the axial groove; 2-1 is the first fiber Bragg grating string; 2-2 is the second fiber Bragg grating string; 2-3 is the third fiber Bragg grating string; A is one of the cross sections of the target bolt; 3 is the fiber Bragg grating demodulator. Detailed Implementation

[0017] The technical solutions of the embodiments of this application will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of this application, and not all embodiments. Based on the embodiments of this application, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of this application.

[0018] To make the above-mentioned objectives, features and advantages of this application more apparent and understandable, the application will be further described in detail below with reference to the accompanying drawings and specific embodiments.

[0019] The method for monitoring segment deformation in shield tunnels based on bolt flexure deformation provided in this application embodiment can be applied to, for example... Figure 1In the application environment shown, terminal 102 communicates with server 104 via a network. A data storage system can store the data that server 104 needs to process. The data storage system can be set up independently, integrated into server 104, or placed in the cloud or on other servers. Terminal 102 can send the parameter set of the target bolt to server 104. The target bolt is a bolt used to connect the first and second tunnel segments in a shield tunnel. The parameter set includes the radius of the target bolt hole, and the internal strain, external strain, and axial strain values ​​of each section of the target bolt at the current moment. The first tunnel segment is connected to the left side of the target bolt, and the second tunnel segment is connected to the right side of the target bolt. Server 104 receives the parameter set of the target bolt. For the parameter set of the target bolt, server 104 selects the left or right side of the origin of the target coordinate system as the target side, and performs a first processing on the internal strain and external strain values ​​of each section of the target bolt on the target side to obtain the maximum deflection and the coordinate point corresponding to the maximum deflection. The target coordinate system is based on the center of the target bolt at the initial moment as the origin, the axis of the target bolt as the x-axis, and a straight line perpendicular to the x-axis and parallel to the circumferential joint line between the first and second tunnel segments at the initial moment as the y-axis. A three-dimensional coordinate system is established with the straight line in the plane containing the x-axis and y-axis as the z-axis. A second processing step is performed on the axial strain value, maximum deflection, and coordinate points corresponding to the maximum deflection of each section of the target bolt on the target side to obtain the coordinate set of the endpoints of the key line segments of the target bolt. This set of coordinates includes the left and right endpoint coordinates of the upper key line segment, and the left and right endpoint coordinates of the lower key line segment. The upper key line segment is the upper edge line of the bolt segment of the target bolt located between the first and second pipe segments, and the lower key line segment is the lower edge line of the bolt segment of the target bolt located between the first and second pipe segments. The left endpoints of the upper and lower key line segments are located on the first pipe segment, and the right endpoints of the upper and lower key line segments are located on the second pipe segment. A third processing step is performed on the coordinate set of the endpoints of the key line segments of the target bolt to obtain the rotation center of the circumferential joint between the first and second pipe segments and the opening angle of the circumferential joint between the first and second pipe segments. The server 104 can feed back the rotation center of the circumferential seam of the first and second segments and the opening angle of the circumferential seam of the first and second segments to the terminal 102.Furthermore, in some embodiments, the method for monitoring segment deformation in shield tunnels based on bolt flexural deformation can also be implemented separately by the server 104 or the terminal 102. For example, the terminal 102 can directly process the parameter set of the target bolt to obtain the rotation center of the circumferential joint of the first segment and the second segment, as well as the opening angle of the circumferential joint of the first segment and the second segment. Alternatively, the server 104 can obtain the parameter set of the target bolt from the data storage system and process the parameter set of the target bolt to obtain the rotation center of the circumferential joint of the first segment and the second segment, as well as the opening angle of the circumferential joint of the first segment and the second segment.

[0020] The terminal 102 can be, but is not limited to, various desktop computers, laptops, smartphones, tablets, IoT devices, and portable wearable devices. IoT devices can include smart speakers, smart TVs, smart air conditioners, and smart in-vehicle devices. Portable wearable devices can include smartwatches, smart bracelets, and head-mounted devices. The server 104 can be implemented using a standalone server or a server cluster composed of multiple servers, or it can be a cloud server.

[0021] In one exemplary embodiment, such as Figure 2 As shown, a method for monitoring segment deformation in shield tunnels based on bolt flexural deformation is provided. This method is executed by computer equipment, specifically by a terminal or server alone, or by both a terminal and a server. In this embodiment, the method is applied to... Figure 1 Taking server 104 as an example, the explanation includes the following steps 201 to 204.

[0022] Step 201: Obtain the parameter set of the target bolt; the target bolt is the bolt used to connect the first segment and the second segment in the shield tunnel; the parameter set includes the radius of the target bolt hole, and the internal strain value, external strain value and axial strain value of each section of the target bolt at the current moment; the first segment is the segment connected to the left side of the target bolt, and the second segment is the segment connected to the right side of the target bolt.

[0023] Step 202: Select the left or right side of the origin in the target coordinate system as the target side, and perform a first processing on the internal strain value and external strain value of each section of the target bolt on the target side to obtain the maximum deflection and the coordinate point corresponding to the maximum deflection; The target coordinate system is a three-dimensional coordinate system established with the center of the target bolt at the initial moment as the origin, the axis of the target bolt as the x-axis, the straight line perpendicular to the x-axis and parallel to the circumferential seam line between the first and second pipe segments at the initial moment as the y-axis, and the straight line perpendicular to the plane containing the x-axis and y-axis as the z-axis.

[0024] Step 203: Perform a second processing on the axial strain value, maximum deflection, and coordinate points corresponding to the maximum deflection of each section of the target bolt on the target side to obtain the coordinate set of the endpoints of the key line segments of the target bolt; the coordinate set of the endpoints of the key line segments includes the coordinates of the left and right endpoints of the upper key line segment, and the coordinates of the left and right endpoints of the lower key line segment; the upper key line segment is the upper edge line of the bolt segment of the target bolt located between the first and second pipe segments, and the lower key line segment is the lower edge line of the bolt segment of the target bolt located between the first and second pipe segments; the left endpoints of the upper and lower key line segments are located on the first pipe segment, and the right endpoints of the upper and lower key line segments are located on the second pipe segment.

[0025] Step 204: Perform a third processing on the coordinate set of the endpoints of the key line segments of the target bolt to obtain the rotation center of the circumferential joint of the first and second pipe segments and the opening angle of the circumferential joint of the first and second pipe segments.

[0026] By implementing steps 201 to 204, the maximum deflection of the target bolt at the current moment and its corresponding coordinate points can be calculated, and the coordinate set of the endpoints of the key line segment of the target bolt can be obtained. From this, the rotation center of the circumferential joint of the first and second segments and the opening angle of the circumferential joint can be calculated. On the one hand, the strain values ​​of the target bolt in three directions are obtained simultaneously, which can more comprehensively monitor the actual deformation of the target bolt. On the other hand, by calculating the maximum deflection of the target bolt, the coordinates of the endpoints of the key line segment of the target bolt can be determined. That is, the positional relationship of the endpoints of the key line segment of the target bolt is used to monitor the deformation of the segments. Therefore, it overcomes the limitation of the existing technology that converts all the deformation of the segments in the shield tunnel into a rigid body rotation monitoring method around the edge of the circumferential joint, reduces calculation errors, and more realistically reflects the deformation of the segments in the shield tunnel.

[0027] Furthermore, when implementing the above embodiments, the following assumptions need to be defined, specifically: Assumption 1: Figure 9 As shown, a planar coordinate system is established with the center of the target bolt at the initial moment as the origin O, the axis of the target bolt as the x-axis, and the straight line perpendicular to the x-axis and parallel to the circumferential seam line between the first and second pipe segments at the initial moment as the y-axis. At the initial moment, the circumferential seam between the first and second pipe segments is closed, and the left endpoint of the upper critical line segment located at the top edge of the bolt hole of the target bolt is... The right endpoint is The left endpoint of the lower critical line segment located at the bottom edge of the bolt hole of the target bolt is The right endpoint is , The radius of the bolt hole for the target bolt.

[0028] Assumption 2: In the actual calculation process, it is assumed that there is no relative slippage between the target bolt and the bolt hole wall of the target bolt, and the deformation of the endpoint of the key line segment is completely consistent with the deformation of the target bolt at the corresponding position.

[0029] Assumption 3: When the target bolt deflects, the rotation angles generated by each section of the target bolt will cause axial deformation of the upper and lower critical segments, including not only the tensile displacement of the target bolt's central axis. It also includes the additional axial displacement caused by the rotation angle. When the inner side of the pipe ring opens, the additional axial displacement of the upper critical segment is positive; when the outer side of the pipe ring opens, the additional axial displacement of the upper critical segment is negative. The sign of the additional axial displacement of the lower critical segment is opposite to that of the upper critical segment.

[0030] Assumption 4: The endpoints of the upper and lower critical line segments are the coordinate points corresponding to the maximum deflection of the target bolt, and their displacement along the y-direction is equal to the maximum deflection value of the target bolt. .

[0031] Assumption 5: The deformation occurring on both sides of the circumferential joint is symmetrical about the circumferential joint between the first and second segments at the initial moment.

[0032] In practical applications, the circumferential joint rotation center obtained based on the bolt flexure deformation-based segment deformation monitoring method and related device in shield tunnels proposed in this invention... and the opening angle of the circumferential seam The segment opening amount can be further calculated. The service status of the tunnel segments in the shield tunnel is determined based on the amount of segment opening, thereby assessing the safety of the shield tunnel.

[0033] The formula for calculating the segment opening is: ; in, For the segment opening amount, Let y be the y-axis coordinate of the rotation center of the circumferential joint between the first and second segments. The circumferential opening angle is defined as the angle between the first and second segments.

[0034] According to the safety control index values ​​of urban rail transit structures specified in the Ministry of Housing and Urban-Rural Development industry standard CJ / T202-2013 "Technical Specification for Safety Protection of Urban Rail Transit Structures", as shown in Table 1, it is possible to determine whether the current service status of the tunnel segments in the shield tunnel meets the requirements and further assess the safety of the shield tunnel.

[0035] Table 1 Safety Control Indicators for Urban Rail Transit Structures

[0036] In another exemplary embodiment of this application, the step of obtaining the parameter set of the target bolt in step 201 above is replaced by the following steps 301 to 303.

[0037] Step 301: Obtain the external strain value of the upper surface of the target bolt using the first fiber grating string.

[0038] Step 302: Use the second fiber optic grating string to obtain the internal strain value of the lower surface of the target bolt.

[0039] Step 303: Obtain the axial strain value at the neutral axis of the target bolt using a third fiber Bragg grating string. Specifically, three continuous grooves are formed along the axial direction of the target bolt: an upper groove, a lower groove, and an axial groove. A first fiber Bragg grating string is placed in the upper groove, a second fiber Bragg grating string in the lower groove, and a third fiber Bragg grating string in the axial groove. Each fiber Bragg grating string consists of multiple fiber Bragg grating strain sensors connected in series at a certain interval. The upper groove is located on the outer arc surface of the target bolt, and the lower groove is located on the inner arc surface of the target bolt, and the upper and lower grooves are symmetrical about the axis of the target bolt. The axial groove is located on the side of the target bolt and is perpendicular to both the upper and lower grooves.

[0040] Figure 3(a) and Figure 3(b) Figure 4 and Figure 5 Taking the method shown as an example, as illustrated in Figures 3(a) and 3(b), an upper groove 1-1 is formed on the inner arc surface of the target bolt 1, and a lower groove 1-2 is formed on the outer arc surface. The upper and lower grooves are symmetrical about the axis of the target bolt, and the distance between the centerlines of the two grooves is equal to the diameter of the bolt hole of the target bolt. An axial groove 1-3 is formed in the middle of the side of the target bolt 1. This groove is parallel to the axis of the target bolt and is spatially distributed at 90° with both the upper and lower grooves. The above three continuous grooves have the same shape, with a rectangular cross-section and a length equal to that of the target bolt. The upper and lower side grooves are symmetrical about the axis of the target bolt, with a rectangular cross-section (4~6mm wide, 3~5mm deep) and a length equal to that of the bolt.

[0041] like Figure 4 As shown, a first fiber Bragg grating string is laid in the upper trench 1-1, a second fiber Bragg grating string is laid in the lower trench 1-2, and a third fiber Bragg grating string is laid in the axial trench 1-3. Each fiber Bragg grating string consists of multiple fiber Bragg grating strain sensors connected in series at a fixed spacing h (50~100mm), and a fiber Bragg grating temperature sensor is connected in series with each fiber Bragg grating strain sensor. Figure 4The diagram also marks one of the target bolt's cross-sections, A. Furthermore, the upper and lower trenches containing the corresponding fiber Bragg grating strings are encapsulated with epoxy resin. The signals from the three fiber Bragg grating strings are transmitted via their built-in optical fibers. These fibers pass through the corresponding fiber optic holes in the nut and exit from the top surface of the nut, connecting to the fiber Bragg grating demodulator 3. The demodulator 3 collects, processes, and outputs data from all fiber Bragg grating strain and temperature sensors. Specifically, the data from the first fiber Bragg grating string is processed to output the external strain values ​​of each cross-section of the target bolt at the current moment; the data from the second fiber Bragg grating string is processed to output the internal strain values ​​of each cross-section of the target bolt at the current moment; and the data from the third fiber Bragg grating string is processed to output the axial strain values ​​of each cross-section of the target bolt at the current moment. The length of the optical fibers can be arbitrarily extended according to the signal transmission distance requirements, thereby achieving remote real-time monitoring of the strain values ​​of each cross-section of the target bolt.

[0042] Figure 4 One of the cross sections A of the target bolt is shown below. Figure 5 As shown, a first fiber Bragg grating string 2-1 is laid in the upper trench 1-1, a second fiber Bragg grating string 2-2 is laid in the lower trench 1-2, and a third fiber Bragg grating string 2-3 is laid in the axial trench 1-3.

[0043] In another exemplary embodiment of this application, the first processing step in step 202 above is replaced by the following steps 401 to 404.

[0044] Step 401: Subtract the internal strain value and external strain value of each section of the target bolt on the target side to obtain the strain difference of each section of the target bolt, taking the case where the target side is the right side of the coordinate origin as an example.

[0045] , ; Where, Δ ε i The right side Strain difference of cross section For the first The internal strain value of the cross section, For the first External strain value of the cross section This represents the number of cross-sections of the target bolts to the right of the coordinate origin.

[0046] Step 402: Calculate the bending moment of each section of the target bolt on the target side based on the strain difference of each section of the target bolt.

[0047] , ; in, For the target bolt number Bending moment of the cross section Let the Young's modulus of the target bolt be . Let the moment of inertia of the cross section be... The diameter of the target bolt.

[0048] Step 403: Add a virtual beam unit segment on the other side of the target side, and obtain the deflection distribution of each section of the target bolt by means of the bending moment of each section of the target bolt on the target side and the deflection of each section of the target bolt on the virtual beam unit segment and the target bolt on the target side through the deflection difference equation; the target side end face of the virtual beam unit segment is the target bolt section where the coordinate origin is located, and the length of the virtual beam unit segment is equal to the distance between adjacent sections of the target bolt.

[0049] The deflection of the left end face of the virtual beam element segment is denoted as The deflection of the right end face is denoted as Boundary conditions are The following formula is used to calculate the deflection distribution of each section of the target bolt through the deflection difference equation.

[0050] , ; in, For the target bolt number Deflection of the cross section For the target bolt number Deflection of the cross section For the target bolt number Deflection of the cross section The distance between adjacent sections of the target bolt.

[0051] Step 404: Based on the deflection distribution, obtain the maximum deflection and the coordinate point corresponding to the maximum deflection.

[0052] by Figure 5 Taking the target side as the right side as an example, a virtual beam element segment is added to the left of the coordinate origin. Then, the bending moment of each section of the target bolt on the right side of the coordinate origin, as well as the deflection of each section of the target bolt on the virtual beam element segment and the right side of the coordinate origin, are calculated using the deflection difference equation to obtain the deflection distribution of each section of the target bolt.

[0053] In another exemplary embodiment of this application, the second processing step in step 203 above is replaced by the following steps 501 to 507.

[0054] Step 501: Obtain the maximum rotation angle based on the coordinate point corresponding to the maximum deflection.

[0055] ; in, This represents the maximum angle. The coordinates of the point corresponding to the maximum deflection Axis coordinates For the target bolt number Deflection of the cross section For the target bolt number Deflection of the cross section.

[0056] Step 502: The product of the target bolt hole radius and the maximum value of the rotation angle is determined as the additional axial displacement of the upper critical line segment.

[0057] ; in, This represents the additional axial displacement of the upper critical line segment. The radius of the bolt hole for the target bolt.

[0058] Step 503: Determine the negative of the additional axial displacement of the upper edge line as the additional axial displacement of the lower key line segment.

[0059] ; in, This represents the additional axial displacement of the next critical line segment.

[0060] Step 504: Integrate the axial strain values ​​of each section of the target bolt on the target side at the current moment to obtain the axial tensile displacement distribution of the target bolt.

[0061] ; in, The axial tensile displacement distribution of the target bolt. For the first The cross section corresponding Axis coordinates For the first The axial strain value of the cross section.

[0062] When the target side is taken as the right side of the coordinate origin, the above steps The value satisfies , The length is half the target bolt length; when the target side is taken as the left side of the coordinate origin, the above steps... The value satisfies .

[0063] Step 505, set the coordinates of the points corresponding to the maximum deflection. Substituting the axial coordinates into the axial tensile displacement distribution of the target bolt, the axial tensile displacement of the target bolt is obtained.

[0064] Step 506: Based on the axial tensile displacement of the target bolt, the additional axial displacement of the upper critical segment, and the additional axial displacement of the lower critical segment, obtain the total axial displacement of the endpoint of the upper critical segment and the total axial displacement of the endpoint of the lower critical segment.

[0065] ; ; in, This represents the total axial displacement of the endpoints of the upper critical line segment. This represents the total axial displacement of the lower critical line segment. The coordinates of the point corresponding to the maximum deflection Axis coordinates This represents the axial tensile displacement of the target bolt. This represents the additional axial displacement of the upper critical line segment. This represents the additional axial displacement of the next critical line segment.

[0066] Step 507: Determine the coordinate set of the endpoints of the critical line segment based on the bolt hole radius, maximum deflection, total axial displacement of the upper critical line segment endpoint, and total axial displacement of the lower critical line segment endpoint.

[0067] , ; , ; , ; , ; Let x be the x-coordinate of the left endpoint of the upper critical line segment. Let y be the y-coordinate of the left endpoint of the upper critical line segment. For maximum deflection, The radius of the bolt hole for the target bolt.

[0068] Let x be the x-coordinate of the right endpoint of the upper critical line segment. y-coordinate of the right endpoint of the upper critical line segment.

[0069] Let x be the x-coordinate of the left endpoint of the lower critical line segment. Let y be the y-coordinate of the left endpoint of the lower critical line segment.

[0070] Let x be the x-coordinate of the right endpoint of the lower critical line segment. Let y be the y-coordinate of the right endpoint of the lower critical line segment.

[0071] In another exemplary embodiment of this application, the third processing step in step 204 above is replaced by the following step 601.

[0072] Step 601: Input the coordinates of the left endpoint of the upper key line segment and the left endpoint of the lower key line segment into the first line equation, and input the coordinates of the right endpoint of the upper key line segment and the right endpoint of the lower key line segment into the second line equation. Solve the first and second line equations simultaneously to obtain the rotation center of the circumferential joint of the first and second segments and the opening angle of the circumferential joint of the first and second segments. The rotation center of the circumferential joint is the intersection of the first and second lines. The opening angle of the circumferential joint is the angle between the first and second lines. The first line is the line containing the left endpoints of the upper and lower key line segments, and the second line is the line containing the right endpoints of the upper and lower key line segments.

[0073] The equation of the first straight line is: ; in, Let be the slope of the first straight line. For maximum deflection, This represents the total axial displacement of the endpoints of the upper critical line segment. This represents the total axial displacement of the endpoints of the next critical line segment.

[0074] The formula for calculating the slope of the first straight line is: ; in, The radius of the bolt hole for the target bolt.

[0075] The equation of the second line is: ; The formula for calculating the slope of the second line is: ; in, Let be the slope of the second line.

[0076] Solve the equations of the first and second straight lines simultaneously to find the coordinates of point P, the rotation center of the circumferential joint between the first and second segments. The calculation formula is as follows: , ; in, Let x be the x-axis coordinate of the rotation center of the circumferential joint between the first and second segments. The y-axis coordinate is the rotation center of the circumferential joint between the first and second segments.

[0077] The opening angle of the circumferential seam can be obtained by the following formula: ; Substitution The formula for calculating the opening angle of the circumferential seam is: ; in, For the circumferential seam opening angle, This represents the maximum angle.

[0078] In another exemplary embodiment of this application, the step of obtaining the deflection distribution of each cross section of the target bolt in step 403 above is replaced by the following step 701.

[0079] Step 701, the expression for deflection distribution is: , ; in, For the target bolt number Deflection of the cross section For the target bolt number Deflection of the cross section For the target bolt number Deflection of the cross section For the target bolt number Bending moment of the cross section The distance between adjacent sections of the target bolt. Let the Young's modulus of the target bolt be . Let the moment of inertia of the cross section be... The number of cross-sections of the target bolts on the target side.

[0080] Among them, the target bolt number The formula for calculating the bending moment of a cross section is: , ; in, The diameter of the target bolt. For the target bolt Strain difference across the cross section.

[0081] In another exemplary embodiment of this application, the step of obtaining the rotation center of the annular seam of the first and second segments and the opening angle of the annular seam of the first and second segments in step 204 above is replaced by the following steps 801 to 802.

[0082] Step 801, the formula for calculating the rotation center of the circumferential seam is: , ; in, The x-axis coordinate of the center of rotation The y-axis coordinate of the center of rotation Let be the slope of the first straight line. This represents the total axial displacement of the endpoints of the upper critical line segment. For the target bolt hole radius, This represents the maximum deflection.

[0083] Step 802, the formula for calculating the circumferential seam opening angle is: ; in, The opening angle of the circumferential seam.

[0084] To more clearly illustrate the design concept of this application, the following section... Figures 6-8 The content, namely the specific details of the cross-section of the shield tunnel joint and the target bolt shape when the inner side of the pipe ring between the first and second segments opens, will be further explained.

[0085] Figure 6 This is a cross-sectional schematic diagram of the shield tunnel joint and bolt configuration at the initial moment. At the initial moment, the circumferential joint between the first and second segments is closed.

[0086] Figure 7 This is a cross-sectional diagram of the shield tunnel joint and bolt shape when the inner side of the pipe ring is open and the tunnel deformation is small. In the early stage of shield tunnel service or when the deformation is small, the joints of adjacent segments mainly undergo slight rigid rotation around the inner or outer edge of the joint.

[0087] Figure 8 This is a cross-sectional diagram of the shield tunnel joint and bolt shape when the inner side of the pipe ring opens and the tunnel deformation is large. When the overall lateral deformation of the shield tunnel increases, the concrete stress on the pressure side of the joint is concentrated and exceeds the local bearing limit, the joint of adjacent segments will produce non-rigid rotation.

[0088] Because the internal design strength of the tunnel segments is high, they are not prone to large deformations, so the internal deformation of the segments can be ignored. However, the joints between adjacent segments have weaker connection strength and are prone to deformation as the tunnel ages. Therefore, it is necessary to analyze the circumferential joints of the segments to monitor the structural health of the tunnel. When the deformation of the tunnel is small, the rotation and opening of the segments around the inner or outer edge of the joint can be simplified as a rigid body rotation. However, as the deformation of the tunnel increases, the concrete in the compressed area at the segment joint may crush, and the rotation is no longer an idealized rigid body rotation.

[0089] To more clearly illustrate the design concept of this application, the following section will describe this application. Figures 9-10 The content specifically details the monitoring of segment deformation in the shield tunnel when the inner side of the tunnel ring between the first and second segments opens, and... Figure 11The content, namely the specific situation of monitoring the deformation of the tunnel segments in the shield tunnel when the outer side of the pipe ring between the first and second segments opens, is explained.

[0090] Figure 9 This diagram serves as a reference for monitoring segment deformation in a shield tunnel at the initial moment. A planar coordinate system is established with the center of the target bolt at the initial moment as the origin O, the bolt axis as the x-axis, and a straight line perpendicular to the x-axis and parallel to the circumferential joint between the first and second segments at the initial moment as the y-axis. At the initial moment, the circumferential joint between the first and second segments is closed. The left endpoint of the upper critical line segment located at the top edge of the bolt hole of the target bolt is... The right endpoint is The left endpoint of the lower critical line segment located at the bottom edge of the bolt hole of the target bolt is The right endpoint is , The radius of the bolt hole for the target bolt.

[0091] Figure 10 This is a reference diagram for monitoring the segment deformation in a shield tunnel at the current moment when the inner side of the pipe ring opens and the tunnel deformation is large. At the current moment, the outer side of the pipe ring opens between the first and second segments. The left endpoint of the upper critical line segment located at the top edge of the bolt hole of the target bolt is... The right endpoint is The left endpoint of the lower critical line segment located at the bottom edge of the bolt hole of the target bolt is The right endpoint is .

[0092] Figure 11 This is a reference diagram for monitoring the segment deformation in a shield tunnel at the current moment when the outer ring of the tunnel lining opens and the tunnel deformation is significant. At the current moment, the inner ring of the tunnel lining between the first and second segments opens, and the left endpoint of the upper critical line segment at the top edge of the bolt hole of the target bolt is... The right endpoint is The left endpoint of the lower critical line segment located at the bottom edge of the bolt hole of the target bolt is The right endpoint is .

[0093] This application provides a method for monitoring segment deformation in shield tunnels based on bolt flexure deformation. It overcomes the limitations of existing analysis methods that assume segment rotation as rigid body rotation by inverting the deformation of the target bolt to determine the true opening state of the shield segment circumferential joint. By slotting along the axis on the upper, lower, and side surfaces of the target bolt and embedding fiber optic grating strings, the flexure and axial tensile deformation of the target bolt are monitored synchronously. Based on the monitoring data, a coordination relationship between the target bolt deformation and the critical line deformation of the lining is established, fully considering all the influences on the target bolt during circumferential joint deformation, thereby solving for the rotation center and opening angle of the shield segment circumferential joint. The method provided in this application achieves a precise mapping from the microscopic deformation of the target bolt to the macroscopic mechanical state of the circumferential joint, providing a reliable basis for the structural safety assessment of shield tunnels.

[0094] In addition, this application provides a method for monitoring the deformation of tunnel segments in shield tunnels based on bolt flexural deformation. On the one hand, by opening a continuous groove along the axial direction of the target bolt and arranging fiber optic grating strings, it achieves simultaneous monitoring of the axial tension and flexural deformation of the target bolt, breaking through the limitation of traditional methods that only monitor single-dimensional deformation. On the other hand, by integrating the flexural and axial deformation of the target bolt, it establishes a deformation coordination relationship with the lining edge line, overcoming the limitations of existing methods that "idealize the deformation of the circumferential joint as a simple rigid body rotation".

[0095] This application also provides an application scenario in which the aforementioned shield tunnel segment deformation state analysis method is used to assess the structural health of a shield tunnel. Specifically, the segment deformation monitoring method in a shield tunnel based on bolt flexure deformation provided in this embodiment can be applied in the shield tunnel structural health assessment scenario. This scenario includes a data acquisition stage, a data processing stage, and a shield tunnel structural health assessment stage. The parameter set of the target bolt enters the data processing stage from the data acquisition stage. After data processing, the rotation center of the circumferential joint of the first and second segments and the opening angle of the circumferential joint of the first and second segments are obtained, and then the data enters the downstream shield tunnel structural health assessment stage. The segment deformation monitoring method in a shield tunnel based on bolt flexure deformation provided in this embodiment belongs to the data processing stage. Specifically, in the data processing stage for the parameter set of the target bolt, the target side can be selected and the internal and external strain values ​​of each section of the target bolt on that side can be processed to obtain the maximum deflection and its corresponding coordinate point. Then, the axial strain values ​​of each section of the target bolt on the target side can be processed to obtain the coordinate set of the endpoints of the key line segment. Finally, the coordinate set of the endpoints of the key line segment of the target bolt can be processed to obtain the rotation center of the circumferential joint of the first and second segments and the opening angle of the circumferential joint.

[0096] In one exemplary embodiment, a computer device is provided, which may be a server or a terminal, and its internal structure diagram may be as follows. Figure 12As shown, the computer device includes a processor, memory, input / output (I / O) interfaces, and a communication interface. The processor, memory, and I / O interfaces are connected via a system bus, and the communication interface is also connected to the system bus via the I / O interfaces. The processor provides computational and control capabilities. The memory includes non-volatile storage media and internal memory. The non-volatile storage media stores the operating system, computer programs, and a database. The internal memory provides the environment for the operating system and computer programs stored in the non-volatile storage media. The database stores the bolt hole radii of the segment bolts, as well as the internal strain, external strain, and axial strain values ​​of each section of the bolt at the current moment. The I / O interfaces are used for information exchange between the processor and external devices. The communication interface is used for communication with external terminals via a network connection. When the computer program is executed by the processor, it implements a method for monitoring segment deformation in shield tunnels based on bolt flexural deformation.

[0097] Those skilled in the art will understand that Figure 12 The structures shown are merely block diagrams of some structures related to the present application and do not constitute a limitation on the computer device to which the present application is applied. Specific computer devices may include more or fewer components than shown in the figures, or combine certain components, or have different component arrangements. In an exemplary embodiment, a computer device is provided, including a memory and a processor. The memory stores a computer program, and the processor executes the computer program to implement the steps in the above-described method embodiments.

[0098] In one exemplary embodiment, a computer-readable storage medium is provided storing a computer program that, when executed by a processor, implements the steps in the above-described method embodiments.

[0099] In one exemplary embodiment, a computer program product is provided, including a computer program that, when executed by a processor, implements the steps in the above-described method embodiments.

[0100] It should be noted that the user information (including but not limited to user device information, user personal information, etc.) and data (including but not limited to data used for analysis, data stored, data displayed, etc.) involved in this application are all information and data authorized by the user or fully authorized by all parties. Moreover, the collection, use and processing of the relevant data are carried out in compliance with the relevant data protection laws and policies of the country where the location is located, and with the authorization granted by the owner of the corresponding device.

[0101] Those skilled in the art will understand that all or part of the processes in the above embodiments can be implemented by a computer program instructing related hardware. The computer program can be stored in a non-volatile computer-readable storage medium. When executed, the computer program can include the processes of the embodiments described above. Any references to memory, databases, or other media used in the embodiments provided in this application can include at least one of non-volatile and volatile memory. Non-volatile memory can include read-only memory (ROM), magnetic tape, floppy disk, flash memory, optical memory, high-density embedded non-volatile memory, resistive random access memory (ReRAM), magnetic random access memory (MRAM), ferroelectric random access memory (FRAM), phase change memory (PCM), graphene memory, etc. Volatile memory can include random access memory (RAM) or external cache memory, etc. By way of illustration and not limitation, RAM can take many forms, such as Static Random Access Memory (SRAM) or Dynamic Random Access Memory (DRAM).

[0102] The databases involved in the embodiments provided in this application may include at least one type of relational database and non-relational database. Non-relational databases may include, but are not limited to, blockchain-based distributed databases. The processors involved in the embodiments provided in this application may be general-purpose processors, central processing units, graphics processing units, digital signal processors, programmable logic devices, quantum computing-based data processing logic devices, etc., and are not limited to these.

[0103] The technical features of the above embodiments can be combined in any way. For the sake of brevity, not all possible combinations of the technical features in the above embodiments are described. However, as long as there is no contradiction in the combination of these technical features, they should be considered to be within the scope of this specification.

[0104] This document uses specific examples to illustrate the principles and implementation methods of this application. The descriptions of the above embodiments are only for the purpose of helping to understand the methods and core ideas of this application. Furthermore, those skilled in the art will recognize that, based on the ideas of this application, there will be changes in the specific implementation methods and application scope. Therefore, the content of this specification should not be construed as a limitation of this application.

Claims

1. A method for monitoring segment deformation in a shield tunnel based on bolt deflection deformation, characterized in that, The method for monitoring segment deformation in shield tunnels based on bolt flexural deformation includes: Obtain the parameter set of the target bolt; the target bolt is the bolt used to connect the first segment and the second segment in the shield tunnel; the parameter set includes the radius of the target bolt hole, and the internal strain value, external strain value and axial strain value of each section of the target bolt at the current moment; the first segment is the segment connected to the left side of the target bolt, and the second segment is the segment connected to the right side of the target bolt; The left or right side of the origin in the target coordinate system is selected as the target side, and the internal strain value and external strain value of each section of the target bolt on the target side are processed to obtain the maximum deflection and the coordinate point corresponding to the maximum deflection. The target coordinate system is a three-dimensional coordinate system established with the center of the target bolt at the initial moment as the origin, the axis of the target bolt as the x-axis, the straight line perpendicular to the x-axis and parallel to the circumferential seam line between the first and second pipe segments at the initial moment as the y-axis, and the straight line perpendicular to the plane containing the x-axis and y-axis as the z-axis. A second processing step is performed on the axial strain value, maximum deflection, and coordinate points corresponding to the maximum deflection of each section of the target bolt on the target side to obtain the coordinate set of the endpoints of the key line segments of the target bolt. The coordinate set of the endpoints of the key line segments includes the coordinates of the left and right endpoints of the upper key line segment, and the coordinates of the left and right endpoints of the lower key line segment. The upper key line segment is the upper edge line of the bolt segment of the target bolt located between the first and second pipe segments, and the lower key line segment is the lower edge line of the bolt segment of the target bolt located between the first and second pipe segments. The left endpoints of the upper and lower key line segments are located on the first pipe segment, and the right endpoints of the upper and lower key line segments are located on the second pipe segment. The coordinate set of the endpoints of the key line segments of the target bolt is processed in the third step to obtain the rotation center of the circumferential joint of the first and second pipe segments and the opening angle of the circumferential joint of the first and second pipe segments.

2. The method for monitoring segment deformation in shield tunnels based on bolt flexural deformation according to claim 1, characterized in that, Obtain the parameter set of the target bolt, specifically including: The external strain value of the upper surface of the target bolt is obtained using the first fiber grating string; The internal strain value of the lower surface of the target bolt is obtained using a second fiber grating string; The axial strain value at the neutral axis of the target bolt is obtained using a third fiber grating string. Specifically, three continuous grooves are opened along the axial direction on the shank of the target bolt, namely an upper groove, a lower groove and an axial groove. A first fiber grating string is laid in the upper groove, a second fiber grating string is laid in the lower groove, and a third fiber grating string is laid in the axial groove. Each fiber grating string is composed of multiple fiber grating strain sensors connected in series at a certain interval. The upper groove is located on the outer arc surface of the target bolt, and the lower groove is located on the inner arc surface of the target bolt. The upper and lower grooves are symmetrical about the axis of the target bolt. The axial grooves are located on the side of the target bolt and are perpendicular to the upper and lower grooves, respectively.

3. The method for monitoring segment deformation in shield tunnels based on bolt flexure deformation according to claim 1, characterized in that, The first process specifically includes: The strain difference between each section of the target bolt is obtained by subtracting the internal strain value and the external strain value of each section of the target bolt on the target side. Calculate the bending moment of each section of the target bolt on the target side based on the strain difference of each section of the target bolt; A virtual beam element segment is added on the other side of the target side, and the deflection distribution of the target bolt is obtained by using the deflection difference equation for the bending moment of each section of the target bolt on the target side, the left end face of the virtual beam element segment, and the right end face of the virtual beam element segment; the target side end face of the virtual beam element segment is the target bolt section where the coordinate origin is located, and the length of the virtual beam element segment is equal to the spacing between adjacent sections of the target bolt; Based on the deflection distribution, the maximum deflection and the coordinate point corresponding to the maximum deflection are obtained.

4. The method for monitoring segment deformation in shield tunnels based on bolt flexure deformation according to claim 1, characterized in that, The second process specifically includes: The maximum angle is obtained from the coordinate point corresponding to the maximum deflection; The product of the target bolt hole radius and the maximum rotation angle is determined as the additional axial displacement of the upper critical line segment; The negative of the additional axial displacement of the upper critical line segment is determined as the additional axial displacement of the lower critical line segment. By integrating the axial strain values ​​of each section of the target bolt on the target side at the current moment, the axial tensile displacement distribution of the target bolt is obtained. The coordinate point corresponding to the maximum deflection Substituting the axial coordinates into the axial tensile displacement distribution of the target bolt, the axial tensile displacement of the target bolt is obtained. Based on the axial tensile displacement of the target bolt, the additional axial displacement of the upper critical segment, and the additional axial displacement of the lower critical segment, the total axial displacement of the endpoint of the upper critical segment and the total axial displacement of the endpoint of the lower critical segment are obtained. The coordinate set of the critical segment endpoints is determined based on the bolt hole radius, maximum deflection, total axial displacement of the upper critical segment endpoint, and total axial displacement of the lower critical segment endpoint.

5. The method for monitoring segment deformation in shield tunnels based on bolt flexure deformation according to claim 1, characterized in that, The third process specifically includes: Input the coordinates of the left endpoint of the upper critical line segment and the left endpoint of the lower critical line segment into the first line equation, and input the coordinates of the right endpoint of the upper critical line segment and the right endpoint of the lower critical line segment into the second line equation. Solve the first and second line equations simultaneously to obtain the rotation center of the circumferential joint of the first and second segments and the opening angle of the circumferential joint of the first and second segments. The rotation center of the circumferential joint is the intersection of the first and second lines. The opening angle of the circumferential joint is the angle between the first and second lines, and the opening angle of the circumferential joint increases with time. The first line is the line containing the left endpoints of the upper and lower critical line segments, and the second line is the line containing the right endpoints of the upper and lower critical line segments.

6. The method for monitoring segment deformation in shield tunnels based on bolt flexure deformation according to claim 3, characterized in that, The expression for deflection distribution is: , ； in, For the target bolt number Deflection of the cross section For the target bolt number Deflection of the cross section For the target bolt number Deflection of the cross section For the target bolt number Bending moment of the cross section The distance between adjacent sections of the target bolt. Let the Young's modulus of the target bolt be . Let the moment of inertia of the cross section be... The number of cross-sections of the target bolts on the target side; Target bolt number The formula for calculating the bending moment of a cross section is: , ； in, The diameter of the target bolt. For the target bolt Strain difference across the cross section.

7. The method for monitoring segment deformation in shield tunnels based on bolt flexure deformation according to claim 1, characterized in that, The formula for calculating the center of rotation of the circumferential seam is: ， ； in, The x-axis coordinate of the center of rotation of the circumferential seam. Let y be the coordinate of the center of rotation of the circumferential seam. Let be the slope of the first straight line. This represents the total axial displacement of the endpoints of the upper critical line segment. For the target bolt hole radius, Maximum deflection; The formula for calculating the circumferential seam opening angle is: ； in, The opening angle of the circumferential seam.

8. A computer device, comprising: A memory, a processor, and a computer program stored in the memory and capable of running on the processor, characterized in that the processor executes the computer program to implement the method for monitoring segment deformation in a shield tunnel based on bolt flexural deformation as described in any one of claims 1-7.

9. A computer-readable storage medium having a computer program stored thereon, characterized in that, When executed by a processor, the computer program implements the method for monitoring segment deformation in shield tunnels based on bolt flexure deformation as described in any one of claims 1-7.

10. A computer program product, comprising a computer program, characterized in that, When executed by a processor, the computer program implements the method for monitoring segment deformation in shield tunnels based on bolt flexure deformation as described in any one of claims 1-7.

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