A method and system for generating a general wedge-shaped ring segment layout scheme for a shield tunnel

Abstract

The application relates to the technical field of shield construction, in particular to a general wedge-shaped ring segment layout scheme generation method and system for a shield tunnel. The method comprises the following steps: constructing a circumferential coordinate system, and at least one longitudinal joint is located on a coordinate axis of the circumferential coordinate system; determining a visible range in the circumferential coordinate system; determining a block line set according to a block scheme; screening elements of the block line in the visible range from the block line set, and aggregating the elements of the same block line in the visible range into a same feasible layout set; performing quantity verification and deviation correction verification on the feasible layout set, and generating a layout scheme according to the feasible layout set passing the verification. According to the layout scheme, the general wedge-shaped ring segment arranged in the layout scheme can be aligned with the block line in the visible range and staggered with the block line outside the visible range, so that the visible range through joint and the overall staggered joint are realized in cooperation.

Description

Technical Field

[0001] This invention relates to the field of shield tunneling technology, and in particular to a method and system for generating a universal wedge-shaped ring segment layout scheme for shield tunnels. Background Technology

[0002] The metro station constructed using the mechanical method employs two parallel shield tunnels to form the platform space, with passengers directly facing the inner walls of the tunnel segments. To create an exposed architectural style, the concrete base of the tunnel segments is only treated with simple processes such as painting, making the joints between the segments a key visual element.

[0003] There are two assembly methods for shield tunnel segments: continuous joint and staggered joint. Continuous joint assembly means that the longitudinal joints of adjacent rings are located at the same angle, resulting in a neat and uniform visual appearance; staggered joint assembly means that the longitudinal joints of adjacent rings are staggered, resulting in uniform structural stress and high overall rigidity, especially with significant performance advantages in complex strata. In current technology, continuous joint and staggered joint are mutually exclusive options, and both cannot be achieved simultaneously.

[0004] The universal wedge-shaped tunnel segment is a ring with all segments having identical geometry. Tunnel turning and correction are achieved through the overall rotation of the segment ring. The capping block is generally the narrowest segment in the ring, with a slanted joint, unlike the straight joints of other segments. If exposed to passengers, it would affect aesthetics. Furthermore, the capping block must appear in the first, second, third, and fourth quadrants of a Cartesian coordinate system established with the segment center as the base point; otherwise, the tunnel boring machine (TBM) cannot achieve vertical, horizontal, or vertical correction.

[0005] In existing technologies, segment layout either prioritizes structural performance by using staggered joints (sacrificing aesthetics) or prioritizes aesthetics by using continuous joints (sacrificing structural performance). Furthermore, the position of the capping block is often uncontrollable and may be exposed to passengers' view. There is currently no method that can simultaneously achieve continuous joints within the visible range, staggered joints outside the visible range, concealed capping blocks, and four-quadrant correction under the condition of a universal wedge ring. Summary of the Invention

[0006] The purpose of this invention is to overcome the shortcomings of existing technologies that cannot simultaneously achieve through joints within the visible range, staggered joints outside the visible range, concealment of the capping block, and four-quadrant correction under the condition of a universal wedge ring. It provides a method for generating a universal wedge ring segment layout scheme for shield tunnels, so that the segments present a through joint visual effect within the passenger's visible range, maintain the staggered joint structural performance outside the visible range, and simultaneously meet the requirements of concealment of the capping block and shield correction.

[0007] In a first aspect, the present invention provides a method for generating a universal wedge-shaped ring segment layout scheme for shield tunnels. The layout scheme generation method includes the following steps:

[0008] Step 1: Construct a circular coordinate system, with at least one longitudinal joint located on the coordinate axis of the circular coordinate system; determine the visible range in the circular coordinate system; Step 2: Determine the block line set according to the block division scheme; the elements of the block line set include the capping block position and the block line position; Step 3: Solve for the feasible layout set and generate layout schemes, including: Filter elements whose dividing lines are within the visible range from the set of dividing lines, and aggregate elements with the same dividing lines within the visible range into the same feasible layout set; The feasible layout set is subjected to quantity verification and correction verification, and the layout scheme is generated based on the feasible layout set that has passed the verification.

[0009] According to a preferred embodiment, the quantity verification includes: Check if the number of elements in the feasible layout set is greater than or equal to 4; If the quantity is less than 4, the verification will fail; If there are 4 or more, the verification passes.

[0010] According to a preferred embodiment, the correction verification includes: Check whether the capping block position of all elements in the feasible layout set covers the first, second, third, and fourth quadrants of the circular coordinate system; If not covered, the verification fails; If the data is covered, the verification passes.

[0011] According to a preferred embodiment, tunnel engineering parameters are obtained before performing step one. The engineering parameters include at least: tunnel cross-section specifications, segmentation scheme, and platform specifications. The segmentation scheme includes: the number and specifications of wedge-shaped ring segments and the number of longitudinal joints. The wedge-shaped ring segments include: capping blocks and standard blocks.

[0012] According to a preferred embodiment, the circumferential coordinate system is constructed based on the tunnel cross-sectional specifications. The joint area is divided according to the capping block specifications and the tunnel cross-sectional specifications. The visible range is determined using the platform specifications and the tunnel cross-sectional specifications.

[0013] According to a preferred embodiment, the segmentation scheme includes one capping block and several standard blocks, and N longitudinal joints. All longitudinal joints are evenly spaced circumferentially.

[0014] According to a preferred embodiment, if the feasible layout set fails the quantity verification and correction verification, the block segmentation scheme is optimized and adjusted; and the execution of step one is returned according to the adjusted block segmentation scheme until the layout scheme is generated.

[0015] According to a preferred embodiment, if two or more feasible layout sets pass the quantity verification and correction verification, the set with the most elements is selected to generate the layout scheme.

[0016] According to a preferred embodiment, if two or more feasible layout sets pass the quantity verification and correction verification and have the same number of elements, the set with the fewest block lines within the visible range is selected to generate the layout scheme.

[0017] In a second aspect, the present invention provides a system for generating a universal wedge-shaped ring segment layout scheme for shield tunnels, comprising at least a processing unit. The processing unit stores a computer program. When the computer program is executed by a processor, it implements the method for generating a universal wedge-shaped ring segment layout scheme for shield tunnels provided by the present invention.

[0018] Compared with the prior art, the beneficial effects of the present invention are as follows: This invention provides a method and system for generating a universal wedge-shaped ring segment layout scheme for shield tunnels. By aggregating elements with the same segmentation lines within the visible range into the same feasible layout set, and generating a layout scheme through quantity verification and correction verification, the universal wedge-shaped ring segments laid out according to the layout scheme can achieve segmentation line alignment within the visible range and segmentation lines staggered outside the visible range, thus collaboratively realizing continuous joints within the visible range and overall staggered joints. Attached Figure Description

[0019] Figure 1 A schematic diagram illustrating the process of generating a general wedge-shaped ring segment layout scheme for shield tunnels.

[0020] Figure 2 A schematic diagram of the coordinate system, visible range, and V_bolts calculation (N=16 example).

[0021] Figure 3 A schematic diagram of the assembly configuration with the center of the capping block located at 0° for a block division scheme of N=16 (6 blocks).

[0022] Figure 4 A schematic diagram of the assembly configuration with the center of the capping block located at 157.5° for a block division scheme of N=16 (6 blocks).

[0023] Figure 5 A schematic diagram of the assembly configuration with the center of the capping block located at 225° for a block division scheme of N=16 (6 blocks).

[0024] Figure 6 A schematic diagram of the assembly configuration with the center of the capping block located at 292.5° for a block division scheme of N=16 (6 blocks).

[0025] Figure 7A schematic diagram of the assembly configuration with the center of the capping block located at 8.18° for a block division scheme of N=22 (8 blocks).

[0026] Figure 8 A schematic diagram of the assembly configuration with the center of the capping block located at 171.82° for a block division scheme of N=22 (8 blocks).

[0027] Figure 9 A schematic diagram of the assembly configuration with the center of the capping block located at 220.91° for a block division scheme of N=22 (8 blocks).

[0028] Figure 10 A schematic diagram of the assembly configuration with the center of the capping block located at 270° for a block division scheme of N=22 (8 blocks).

[0029] Figure 11 A schematic diagram of the assembly configuration with the center of the capping block located at 319.09° for a block division scheme of N=22 (8 blocks).

[0030] Figure 12 A schematic diagram of the assembly configuration with the center of the capping block located at 14.21° for a block division scheme of N=19 (7 blocks).

[0031] Figure 13 A schematic diagram of the assembly configuration with the center of the capping block located at 146.84° for a block division scheme of N=19 (7 blocks).

[0032] Figure 14 A schematic diagram of the assembly configuration with the center of the capping block located at 203.68° for a block division scheme of N=19 (7 blocks).

[0033] Figure 15 A schematic diagram of the assembly configuration with the center of the capping block located at 260.53° for a block division scheme of N=19 (7 blocks).

[0034] Figure 16 A schematic diagram of the assembly configuration with the center of the capping block located at 317.37° for a block division scheme of N=19 (7 blocks). Detailed Implementation

[0035] The present invention will now be described in further detail with reference to specific embodiments. However, this should not be construed as limiting the scope of the present invention to the following embodiments; all technologies implemented based on the content of the present invention fall within the scope of the present invention.

[0036] Unless otherwise specified, the terms "upper," "lower," "left," "right," "center," "inner," and "outer," etc., used in the description of specific embodiments of the present invention to indicate orientation or positional relationships, are based on the orientation or positional relationships shown in the accompanying drawings, or the orientation or positional relationship in which the product / equipment / device is usually placed during use. These terms are merely for the purpose of facilitating the description of the present invention or simplifying the description in specific embodiments, and for enabling those skilled in the art to quickly understand the solution, and do not indicate or imply that a particular device / component / element must have a specific orientation, or be constructed and operated in a specific positional relationship. Therefore, they should not be construed as limitations on the present invention.

[0037] Furthermore, the use of terms such as "horizontal," "vertical," "suspended," "parallel," and "coaxial" does not imply that the corresponding device / component / element must be absolutely horizontal, vertical, suspended, parallel, or coaxial. Slight tilt or deviation is permissible, as long as it does not affect the normal function of the relevant component. For example, "horizontal" simply means that its direction is more horizontal relative to "vertical," not that the structure must be perfectly horizontal; a slight tilt is acceptable. "Coaxial" means that two components are arranged as coaxially as possible, allowing them to move coaxially or approximately coaxially when their relative positions change. Alternatively, it can be simplified to mean that the corresponding device / component / element, when arranged in "horizontal," "vertical," "suspended," "parallel," or "coaxial" directions, can have an error / deviation of ±10% relative to the corresponding direction, more preferably within ±8%, more preferably within ±6%, more preferably within ±5%, and more preferably within ±4%. For example, the deviation in the "coaxial" direction is controlled within 0.2-1mm, preferably within 0.2-0.5mm. As long as the corresponding device / component / element is within the error / deviation range, it can still achieve its function in the solution of the present invention.

[0038] Furthermore, the use of terms such as "first," "second," and "third" in terminology is merely for distinguishing descriptions of identical or similar components and should not be interpreted as emphasizing or implying the relative importance of a particular component.

[0039] Furthermore, in the description of the embodiments of the present invention, "several", "more than", and "a number of" represent at least two. The number can be any number, such as two, three, four, five, six, seven, eight, or nine, and can even exceed nine.

[0040] Furthermore, in the description of the technical solution of this invention, unless otherwise explicitly specified / limited / restricted, the terms "set up," "install," "connect," "link," "provided with," "laid out," and "arranged" should be interpreted broadly. For example, they can refer to fixed connections, detachable connections, or integral connections; they can refer to connection methods commonly used in the art, such as welding, riveting, bolting, and threaded connections. Such connections can be mechanical, electrical, or communication connections; they can be direct connections or indirect connections through an intermediate medium; and they can refer to the internal communication between two components.

[0041] Example 1 This embodiment provides a method for generating a general wedge-shaped ring segment layout scheme for shield tunnels. See also... Figure 1 The method for generating a general wedge-shaped ring segment layout scheme for shield tunnels includes the following steps: S1. Obtain tunnel engineering parameters. These parameters must include at least: tunnel cross-section specifications, segmentation scheme, and platform specifications. The segmentation scheme includes: the number and specifications of wedge-shaped ring segments. The wedge-shaped ring segments include: capping blocks and standard blocks. The segmentation scheme includes one capping block and several standard blocks, and N longitudinal joints. All longitudinal joints are evenly spaced circumferentially.

[0042] S2. Construct a circular coordinate system based on the tunnel cross-section specifications, and ensure that at least one longitudinal joint is located on the coordinate axis of the circular coordinate system; determine the visible range in the circular coordinate system based on the platform specifications.

[0043] S3. Determine the block line set according to the block division scheme. The elements of the block line set include the capping block position and the block line position.

[0044] S4. Solve for the feasible layout set and generate layout schemes. Specifically, this includes: Filter elements whose blocks are within the visible area from the block line set, and aggregate elements with the same blocks within the visible area into the same feasible layout set; Perform quantity verification and correction verification on the feasible layout set, and generate a layout scheme based on the verified feasible layout set.

[0045] The quantity verification specifically includes: checking whether the number of elements in the feasible layout set is greater than or equal to 4; if the number is less than 4, the verification fails; if it is greater than or equal to 4, the verification passes.

[0046] The correction verification includes checking whether the top block position of all elements in the feasible layout set covers the first, second, third, and fourth quadrants of the circular coordinate system; if it does not cover, the verification fails; if it covers, the verification passes.

[0047] If two or more feasible layout sets pass the quantity verification and correction verification, the set with the most elements is selected to generate the layout scheme.

[0048] If two or more feasible layout sets pass the quantity verification and correction verification and have the same number of elements, then the set with the fewest block lines within the visible range is selected to generate the layout scheme.

[0049] Preferably, if the feasible layout set fails the quantity verification and correction verification, the block segmentation scheme is optimized and adjusted; and the execution of step one is returned according to the adjusted block segmentation scheme until the layout scheme is generated.

[0050] The method for generating a universal wedge-shaped ring segment layout scheme for shield tunnels provided in this embodiment can determine the set of rotation angles of the segment rings under the condition of using universal wedge-shaped ring segments, so that the longitudinal segment lines within the passenger's field of vision present a continuous joint effect; the capping block joints do not appear within the field of vision; in the optional assembly angle, the center of the capping block can be located in one of the four quadrants to meet the needs of shield correction; and the segment lines outside the field of vision are staggered to form staggered joints.

[0051] Example 2 This embodiment illustrates the method for generating a general wedge-shaped ring segment layout scheme for shield tunnels as described in Embodiment 1, using specific examples.

[0052] Before generating a general wedge-shaped segment layout scheme for shield tunnels, it is necessary to obtain basic tunnel engineering parameters. These include... The specifications include tunnel cross-section dimensions, segmentation scheme, and platform dimensions. The segmentation scheme includes the number and specifications of wedge-shaped ring segments and the number of longitudinal joints. The segment rings are installed using longitudinal joints. All longitudinal joints are evenly spaced circumferentially within the tunnel. The wedge-shaped ring segments include capping blocks and standard blocks. The segmentation scheme represents the distribution of wedge-shaped ring segments on the same cross-section of the tunnel, including one capping block and several standard blocks, where the standard blocks adjacent to the capping block are called adjacent blocks.

[0053] Preferably, after obtaining the tunnel engineering parameters, the layout scheme can be obtained according to the general wedge-shaped ring segment layout scheme generation method for shield tunnels. Specifically, this includes the following steps: Step 1: Establish a circular coordinate system. See [link / reference] Figure 1 A circular coordinate system is established with longitudinal joints as a reference, taking into account tunnel specifications. A longitudinal joint is placed at 90° (positive Y-axis). All longitudinal joints are numbered, with the starting number 0 as close as possible to the 0° position (positive X-axis). All longitudinal joints are evenly spaced, with a spacing δ = 360° / N, where N is the total number of longitudinal joints around the circumference. The rotation of the segment ring is achieved using the center joint number j of the capping block as a parameter, with a rotation angle β = j × δ.

[0054] Step Two: Define the visible range. The visible range V = [90° - γ, 90° + γ], centered on the Y-axis. Generally, the half-angle γ ≥ 40° (usually γ ≥ 50°), covering the entire visible range of passengers on the platform. The half-angle γ can be determined based on tunnel engineering parameters such as platform specifications and tunnel cross-section specifications. Regardless of the actual center angle of the visible range, it can be adapted by rotating the first ring of tunnel segments by an integer multiple of δ from the original design during shield tunneling.

[0055] Step 3: Determine the set of dividing lines.

[0056] Based on the coordinate system and visible range described above, V_bolts represents the set of longitudinal joint numbers located within the visible range V. The angular position of the longitudinal joint k in the coordinate system is α(k) = (k × δ + θ0) mod 360, where θ0 = 90 - b0 × δ is the coordinate offset angle, and b0 is the longitudinal joint number placed at 90°. Therefore: V_bolts = {k ∈ {0, 1, ..., N-1} | α(k) ∈ [90 - γ, 90 + γ]}. Defining γ < 90, and the visible range not exceeding 0°, V_bolts can be simplified to a continuous integer interval [k_min, k_max], where: k_min = (90-γ-θ0) / δ k_max= (90+γ-θ0) / δ .

[0057] The longitudinal joint k is used to install the capping block, and the longitudinal joint k is located at the center of the capping block. Preferably, the capping block is installed using one longitudinal joint, and the standard block is installed using three longitudinal joints.

[0058] Furthermore, the set of seam positions V_seam within the visible range is defined as the set of midpoint positions between adjacent longitudinal joints in V_bolts that fall into V: V_seam={k+0.5|k∈[k_min-1,k_max],α(k+0.5)∈[90-γ,90+γ]}.

[0059] V_seam represents the positions of all possible dividing lines (seams) within the visible range and is the basis for determining continuous seams.

[0060] Based on the block partitioning scheme (1 capping block K, 2 adjacent blocks B, and n_A standard blocks A), the set of block numbers for the partitioning lines when j=0 is: C = {0.5 + 3k | k = 1, 2, ..., n_A + 1}, with a total of M = n_A + 1 = (N - 4) / 3 segmentation lines. The capping block K is located in the middle of the joint j, occupying one longitudinal joint interval (central angle δ). The joints on its left and right sides (j-0.5 and j+0.5) are the boundaries of block K itself (oblique joints) and do not participate in the continuous joint determination, so they are not included in the segmentation line set C.

[0061] Each segment line (inter-segment joint) is located at the exact midpoint between two adjacent longitudinal joints. Adjacent block B and standard block A each occupy 3 longitudinal joint intervals (central angle 3δ). When the segment ring rotates to the center joint number j of the capping block, the set of segment lines becomes C(j)={(c_m+j)modN|c_m∈C}.

[0062] Step 4: Solve for the set of feasible rotation parameters. Iterate through all the center joint numbers of the capping blocks j∈{0,1,...,N-1}, and filter them step by step according to the following sub-steps: ① Through-seam clustering: For each j, calculate the intersection C(j)∩V_seam of the set of segment lines C(j) and the set of seam positions V_seam within the visible range, obtaining the segment lines (one or more) appearing within the visible range under this assembly configuration. Group j values ​​with identical C(j)∩V_seam into the same feasible layout set. j values ​​within the same feasible layout set produce the same segment line layout within the visible range, thus satisfying the through-seam condition.

[0063] ② Quantity verification: Check whether the number of j values ​​in each feasible layout set is greater than or equal to 4. If the number of j values ​​in a feasible layout set is less than 4, then the feasible layout set does not meet the correction requirements and is excluded.

[0064] ③ Correction Verification: For the remaining feasible layout set, verify whether the quadrant distribution of the center of the capping block (located at joint j, with an angle of j×δ+θ0) covers the first, second, third, and fourth quadrants. The feasible layout set that passes the correction verification is the feasible rotation parameter set S, where the j value corresponds to a layout scheme that can achieve continuous seams within the visible range, staggered seams outside the visible range, and capping blocks covering all four quadrants.

[0065] When multiple feasible layout sets have been verified, the feasible layout set with the most items is selected first to provide more assembly configurations to facilitate shield correction. Secondly, the feasible layout set with the fewest block lines in the visible range is selected to reduce the number of through-seam lines.

[0066] Step 5: Assemble ring by ring according to feasible rotation parameters. Select rotation parameters from the set S of feasible rotation parameters and assemble each ring segment sequentially. When adjacent rings select different j values, the positions of the segment lines outside the visible range are different (because C(j) is different in the part outside V), naturally forming staggered joints. When the positions of the segment lines within the visible range are the same (because C(j)∩V_seam is constant), a continuous joint is formed.

[0067] In this invention, the rotation parameter j of the universal wedge-shaped annular segment simultaneously determines the global layout of the segment lines. When different j values ​​produce the same subset of segment lines within the visible range, these segment lines appear as continuous seams; while outside the visible range, different j values ​​produce different subsets of segment lines, naturally forming staggered seams.

[0068] The advantages of assembling the layout schemes in the feasible rotation parameter set S ring by ring include: (1) The visible area through seams and the overall staggered seams are achieved in a coordinated manner. The same set of rotation parameters aligns the block lines within the visible area (through seams) and staggers the block lines outside the visible area (staggered seams). Both are driven by the same physical mechanism and do not require the sacrifice of either one.

[0069] (2) The capping block covers all four quadrants. Through the correction verification steps, it is ensured that the center of the capping block covers all four quadrants in the feasible rotation parameter set, so that the shield can achieve correction in all directions (up, down, left, and right).

[0070] (3) Universal wedge rings are applicable. All segment rings have the same geometry, eliminating the need for custom ring types and simplifying manufacturing and logistics.

[0071] (4) Flexible adaptation. By rotating the first ring by an integer multiple of δ, it can adapt to any actual visible angle.

[0072] The following section describes the method for generating the general wedge-shaped ring segment layout scheme for shield tunnels in this embodiment, using a specific block-segmentation scheme as an example.

[0073] Block partitioning scheme 1: N=16.

[0074] See Figure 3 , Figure 4 , Figure 5 , Figure 6 The number of longitudinal joints in the tunnel segment is N=16, and the joint spacing is δ=22.5°. The segmentation scheme consists of 6 segments: 1K+2B+3A. The central angle of the capping segment is 22.5°, the central angle of the adjacent segments is 67.5°, and the central angle of the standard segment is 67.5°. The joints are located exactly in the middle of two longitudinal joints. When j=0, the segmentation line set C={3.5,6.5,9.5,12.5} (excluding ±0.5 of the joints on both sides of the capping segment).

[0075] The coordinate system is established with the longitudinal joint number 4 at a 90° position, offset θ0 = 0.0°. The visible range V = [40°, 140°], and the half-angle γ = 50°. The longitudinal joint numbers within V are V_bolts = {2, 3, 4, 5, 6}, and the set of seam positions within V is V_seam = {2.5, 3.5, 4.5, 5.5} (corresponding to 56.25°, 78.75°, 101.25°, and 123.75° respectively).

[0076] Solve according to step four: Traverse j = 0~15, and calculate the intersection of C(j) and V_seam for each j. Cluster the j values ​​with the same intersection to obtain multiple subsets. Among them, the subset j = {0, 7, 10, 13} with the intersection {3.5} has a quantity of 4 (≥4), and the center of the capping block is located at 0°, 157.5°, 225°, and 292.5° respectively, covering the first to fourth quadrants, which is verified by correction. Within the visible range of this subset, only one block line (joint No. 3.5, located at 78.75°, i.e., the middle of longitudinal joint 2 and longitudinal joint 3) presents a continuous seam. The feasible rotation parameter set S = {0, 7, 10, 13} corresponds to the rotation angle β = {0°, 157.5°, 225°, 292.5°}.

[0077] See Figure 3 When j=0: rotation angle β=0.0°, the center of the capping block is located at 0° (first quadrant Q1), and the arc segment of the capping block [-11.25°, 11.25°] is far from the visible range.

[0078] See Figure 4 When j=7: rotation angle β=157.5°, the center of the capping block is located at 157.5° (second quadrant Q2), and the arc segment of the capping block [146.25°, 168.75°] is far from the visible range.

[0079] See Figure 5 When j=10: rotation angle β=225.0°, the center of the capping block is located at 225° (Q3 in the 3rd quadrant), and the arc segment of the capping block [213.75°, 236.25°] is far from the visible range.

[0080] See Figure 6 When j=13: rotation angle β=292.5°, the center of the capping block is located at 292.5° (quadrant Q4), and the arc segment of the capping block [281.25°, 303.75°] is far from the visible range.

[0081] When adjacent rings select different j values, the segment line within the visible range is always located at 78.75° (the exact midpoint between longitudinal joint 2 and longitudinal joint 3, joint No. 3.5), presenting a continuous seam; the segment line outside the visible range is in different positions (staggered seams). The center of the capping block covers all four quadrants, meeting the correction requirements.

[0082] Block partitioning scheme 2: N=22.

[0083] See Figure 7 , Figure 8 , Figure 9 , Figure 10 , Figure 11 The number of longitudinal joints in the tunnel segment is N=22, and the joint spacing is δ=360° / 22≈16.36°. The segmentation scheme consists of 8 segments: 1K+2B+5A. The central angle of the capping segment is approximately 16.36°, the central angle of the adjacent segment is approximately 49.09°, and the central angle of the standard segment is approximately 49.09°. The joints are located exactly in the middle of two longitudinal joints. When j=0, the segmentation line set C={3.5,6.5,9.5,12.5,15.5,18.5} (excluding ±0.5 of the joints on both sides of the capping segment).

[0084] The coordinate system is established with the longitudinal joint number 5 at a 90° position, with an offset of θ0≈8.18°. The visible range V=[40°,140°], and the half-angle γ=50°. The longitudinal joint numbers within V are V_bolts={2,3,4,5,6,7,8}, and the set of joint positions within V is V_seam={2.5,3.5,4.5,5.5,6.5,7.5} (corresponding to 49.09°, 65.45°, 81.82°, 98.18°, 114.55°, and 130.91° respectively).

[0085] Solve according to step four: Iterate through j = 0~21, and calculate the intersection of C(j) and V_seam for each j. Cluster the j values ​​with the same intersection to obtain multiple subsets. Among them, the subset j = {0, 10, 13, 16, 19} with the intersection {3.5, 6.5} has a quantity of 5 (≥4), and the center of the capping block is located at 8.18°, 171.82°, 220.91°, 270°, and 319.09° respectively, covering the first to fourth quadrants, which is verified by correction. Within the visible range of this subset, there are 2 block lines (the 3.5 joint is located at 65.45°, and the 6.5 joint is located at 114.55°) showing a continuous seam. The feasible rotation parameter set S={0,10,13,16,19} corresponds to the rotation angle β={0°,163.64°,212.73°,261.82°,310.91°}.

[0086] See Figure 7 When j=0: rotation angle β=0°, the center of the capping block is located at 8.18° (quadrant Q1), and the arc segment of the capping block [0°, 16.36°] is far from the visible range.

[0087] See Figure 8 When j=10: rotation angle β=163.64°, the center of the capping block is located at 171.82° (second quadrant Q2), and the arc segment of the capping block [163.64°, 180°] is far from the visible range.

[0088] See Figure 9 When j=13: rotation angle β=212.73°, the center of the capping block is located at 220.91° (Q3 in the 3rd quadrant), and the arc segment of the capping block [212.73°, 229.09°] is far from the visible range.

[0089] See Figure 10 When j=16: rotation angle β=261.82°, the center of the capping block is located at 270° (quadrant Q4), and the arc segment of the capping block [261.82°, 278.18°] is far from the visible range.

[0090] See Figure 11 When j=19: rotation angle β=310.91°, the center of the capping block is located at 319.09° (quadrant Q4), and the arc segment of the capping block [310.91°, 327.27°] is far from the visible range.

[0091] Block partitioning scheme 3: N=19.

[0092] See Figure 12 , Figure 13 , Figure 14 , Figure 15 , Figure 16 The number of longitudinal joints in the tunnel segment is N=19, and the joint spacing is δ≈18.95°. The segmentation scheme consists of 7 segments: 1K+2B+4A. The central angle of the capping segment is approximately 18.95°, the central angle of the adjacent segment is approximately 56.84°, and the central angle of the standard segment is approximately 56.84°. The joints are located exactly in the middle of two longitudinal joints. When j=0, the segmentation line set C={3.5,6.5,9.5,12.5,15.5} (excluding ±0.5 of the joints on both sides of the capping segment).

[0093] The coordinate system is established with the longitudinal joint number 5 at a 90° position, with an offset θ0≈-4.74°. The visible range V=[50°,130°]. After calculation, the half-angle γ=50° does not meet the requirements, so the half-angle γ=40° is set for the solution. The longitudinal joint numbers within V are V_bolts={3,4,5,6,7}, and the set of joint positions within V is V_seam={3.5,4.5,5.5,6.5} (corresponding to 61.58°, 80.53°, 99.47°, and 118.42° respectively).

[0094] Solve according to step four: Traverse j = 0~18, and calculate the intersection of C(j) and V_seam for each j. Cluster the j values ​​with the same intersection to obtain multiple subsets. Among them, the subset j = {1,8,11,14,17} with the intersection of {4.5} has 5 (≥4) elements, and the center of the capping block is located at 14.21°, 146.84°, 203.68°, 260.53°, and 317.37° respectively, covering the first to fourth quadrants, which is verified by the correction. Within the visible range of this subset, only one block line (4.5 seam, located at 80.53°) presents a continuous seam. The feasible rotation parameter set S = {1,8,11,14,17} corresponds to the rotation angle β = {18.95°, 151.58°, 208.42°, 265.26°, 322.11°}.

[0095] See Figure 12 When j=1: rotation angle β=18.95°, the center of the capping block is located at 14.21° (quadrant Q1), and the arc segment of the capping block [4.74°, 23.68°] is far from the visible range.

[0096] See Figure 13 When j=8: rotation angle β=151.58°, the center of the capping block is located at 146.84° (second quadrant Q2), and the arc segment of the capping block [137.37°, 156.32°] is far from the visible range.

[0097] See Figure 14 When j=11: rotation angle β=208.42°, the center of the capping block is located at 203.68° (Q3 in the 3rd quadrant), and the arc segment of the capping block [194.21°, 213.16°] is far from the visible range.

[0098] See Figure 15 When j=14: rotation angle β=265.26°, the center of the capping block is located at 260.53° (Q3 in the 3rd quadrant), and the arc segment of the capping block [251.05°, 270°] is far from the visible range.

[0099] See Figure 16 When j=17: rotation angle β=322.11°, the center of the capping block is located at 317.37° (quadrant Q4), and the arc segment of the capping block [307.89°, 326.84°] is far from the visible range.

[0100] This example shows that when γ=40°, V_seam is reduced to 4 positions, and the N=19 scheme can obtain a feasible solution with 1 through-seam. The smaller γ is, the fewer V_seams there are, and the more feasible solutions there are; the larger γ is, the less feasible the solution. When N=19 and γ=50°, V_seam increases to 6 positions, and through-seam clustering cannot satisfy four-quadrant coverage, so it is not applicable.

[0101] If the original block scheme cannot yield a usable layout scheme, adjust the number of vertical joints in the block scheme and regenerate the layout scheme based on the adjusted block scheme.

[0102] Selection of the number of longitudinal joints N: N should satisfy N=7+3n_A (n_A is a positive integer), that is, N∈{10,13,16,19,22,...}. The larger N is, the denser the joints and the more through-seam dividing lines are visible; the smaller N is, the sparser the joints and the fewer through-seam dividing lines are visible.

[0103] When N is small (e.g., N=16), only one segmentation line falls into the continuous seam subset within the visible range, resulting in a single continuous seam effect. When N is large (e.g., N=22), two segmentation lines may fall into the continuous seam subset simultaneously within the visible range, still satisfying the continuous seam requirement. The number of continuous seam segmentation lines increases with increasing N, but this does not affect the validity of the continuous seam condition.

[0104] Preferably, if the original block scheme cannot obtain a usable layout scheme, a usable layout scheme can also be obtained by adjusting the half-angle γ of the visible range.

[0105] Selection of the half-angle γ of the visible range: γ should satisfy γ≥40° (usually γ≥50° to cover the entire visible range of the platform), and γ<90° (the visible range generally does not exceed a semicircle). The larger γ is, the fewer feasible rotation parameters are available; the smaller γ is, the more feasible parameters are available.

[0106] Example 3 This embodiment provides a system for generating a general wedge-shaped ring segment layout scheme for shield tunnels, which is used to implement the method for generating a general wedge-shaped ring segment layout scheme for shield tunnels involved in Embodiment 1.

[0107] A shield tunnel universal wedge-shaped ring segment layout scheme generation system includes at least an input unit, a processing unit, and an output unit. The input unit is used to input relevant parameters and control commands, such as the number of longitudinal joints and the half-angle of the visible range.

[0108] The processing unit stores a computer program, and when the computer program is executed by the processor, it implements the method for generating a universal wedge-shaped ring segment layout scheme for shield tunnels provided by the present invention.

[0109] The output unit is used to output the processing results, that is, the feasible typesetting scheme.

[0110] The above are merely preferred embodiments of the present invention and are not intended to limit the present invention. Any modifications, equivalent substitutions, and improvements made within the spirit and principles of the present invention should be included within the protection scope of the present invention.

Claims

1. A method for generating a universal wedge-shaped ring segment layout scheme for shield tunnels, characterized in that, Includes the following steps: Step 1: Construct a circular coordinate system, with at least one longitudinal joint located on the coordinate axis of the circular coordinate system; determine the visible range in the circular coordinate system; Step 2: Determine the set of dividing lines; The elements of the block line set include the capping block position and the block line position; Step 3: Solve for the feasible layout set and generate layout schemes, including: Filter elements whose dividing lines are within the visible range from the set of dividing lines, and aggregate elements with the same dividing lines within the visible range into the same feasible layout set; The feasible layout set is subjected to quantity verification and correction verification, and the layout scheme is generated based on the feasible layout set that has passed the verification.

2. The method for generating a universal wedge-shaped ring segment layout scheme for shield tunnels according to claim 1, characterized in that, The quantity verification includes: Check if the number of elements in the feasible layout set is greater than or equal to 4; If the quantity is less than 4, the verification will fail; If there are 4 or more, the verification passes.

3. The method for generating a universal wedge-shaped ring segment layout scheme for shield tunnels according to claim 1, characterized in that, The correction verification includes: Check whether the capping block position of all elements in the feasible layout set covers the first, second, third, and fourth quadrants of the circular coordinate system; If not covered, the verification fails; If the data is covered, the verification passes.

4. The method for generating a universal wedge-shaped ring segment layout scheme for shield tunnels according to claim 1, characterized in that, Obtain tunnel engineering parameters before performing step one; The engineering parameters include at least: tunnel cross-section specifications, segmentation scheme, and platform specifications; the segmentation scheme includes: the number and specifications of wedge-shaped ring segments and the number of longitudinal joints; the wedge-shaped ring segments include: capping blocks and standard blocks.

5. The method for generating a universal wedge-shaped ring segment layout scheme for shield tunnels according to claim 4, characterized in that, The circular coordinate system is constructed based on the tunnel cross-section specifications; The joint area is divided according to the specifications of the capping block and the specifications of the tunnel cross section; The visible range is determined using the platform specifications and the tunnel cross-section specifications.

6. The method for generating a universal wedge-shaped ring segment layout scheme for shield tunnels according to claim 5, characterized in that, The block design includes: one capping block and several standard blocks, and N longitudinal joints; all longitudinal joints are evenly spaced circumferentially.

7. The method for generating a universal wedge-shaped ring segment layout scheme for shield tunnels according to claim 6, characterized in that, If the feasible layout set fails the quantity verification and correction verification, the block segmentation scheme is optimized and adjusted; and the execution of step one is returned according to the adjusted block segmentation scheme until the layout scheme is generated.

8. The method for generating a universal wedge-shaped ring segment layout scheme for shield tunnels according to claim 6, characterized in that, If two or more feasible layout sets pass the quantity verification and correction verification, the set with the most elements is selected to generate the layout scheme.

9. A method for generating a universal wedge-shaped ring segment layout scheme for shield tunnels according to claim 8, characterized in that, If two or more feasible layout sets pass the quantity verification and correction verification and have the same number of elements, then the set with the fewest block lines within the visible range is selected to generate the layout scheme.

10. A system for generating a universal wedge-shaped ring segment layout scheme for shield tunnels, comprising at least a processing unit, wherein the processing unit stores a computer program, characterized in that, When the computer program is executed by the processor, it implements a method for generating a general wedge-shaped ring segment layout scheme for shield tunnels as described in any one of claims 1 to 9.

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