A simulated assembly method for prefabricated wedge-shaped segments in open-cut subway sections

Through the simulation assembly method, the position and angle of the prefabricated wedge pipe sheets in the open-cut subway area are calculated and positioned, which solves the construction problems caused by information asymmetry and improves the accuracy and efficiency of construction.

CN114837692BActive Publication Date: 2025-02-18CHINA RAILWAY SIYUAN SURVEY & DESIGN GRP CO LTD
View PDF 0 Cites 0 Cited by

Patent Information

Application Number
CN202210291064.6
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2022-03-23
Publication Date
2025-02-18
Estimated Expiration
2042-03-23

AI Technical Summary

Technical Problem

During the design and construction of prefabricated wedge pipe sheets in the open-dig subway area, information asymmetry and untimely transmission will lead to problems in the construction process, affecting the construction period and project quality.

Method used

Through the simulated assembly method, the center position of the initial pipe sheet, the angle of the rectangular pipe sheet on the plane and the slope angle along the longitudinal direction of the tunnel are calculated based on the line plan, longitudinal section view and structural dimensions of the wedge pipe sheet, and the previous ring pipe sheet is combined with the previous ring pipe sheet. Analysis and analysis of the center line of the left and right lines determines the positioning of the subsequent pipe segments.

Benefits of technology

The feasibility, location and orientation of pipe sheet assembly were clarified, the accuracy and efficiency of construction were improved, and the development of the prefabricated structural industry was promoted.

✦ Generated by Eureka AI based on patent content.

Smart Images

  • Figure CN114837692B_ABST
    Figure CN114837692B_ABST
Patent Text Reader

Abstract

A method for simulating the assembly of assembled wedge-shaped segments in an open-cut subway section includes: calculating the center position of the initial segment, the angle of the rectangular segment on the plane, and the slope angle along the longitudinal direction of the tunnel according to the line plan, longitudinal section, and wedge-shaped segment structure size; after the first ring of wedge-shaped segments is positioned, the next ring of segments will be determined by combining the previous ring of segments and the left and right line center lines to position the subsequent segments. The present invention can clarify the feasibility of segment assembly, as well as the segment position, orientation, etc., which is conducive to guiding on-site construction.
Need to check novelty before this filing date? Find Prior Art

Description

Technical Field

[0001] The invention relates to the field of open-cut subway sections, and in particular to a simulated assembly method of assembled wedge-shaped pipe segments in an open-cut subway section. Background Art

[0002] The construction process of prefabricated structures involves multiple links such as design, production, transportation and assembly. It has significant integration and systematic characteristics and must be built in an integrated way. Especially in the design and construction links, there is a large demand for information. If there is information asymmetry in a certain link and information transmission is not timely, it will lead to problems in the construction link, thus affecting the construction period and project quality. In order to solve the above problems and improve the collaborative work efficiency of all parties involved in the construction of prefabricated structures, simulation of construction conditions during the design and construction stage of prefabricated structures can promote the better development of the prefabricated structure industry.

[0003] In my country, subway sections are usually constructed using the mining method or the shield method. The shield method is also a type of prefabricated lining, which is widely used in shield tunnels and has formed its own independent segment design, mechanical equipment, and standard construction technology system. Domestic and foreign scholars have also conducted extensive research and engineering applications in lining design, joint structure, assembly machinery, and construction methods.

[0004] In general, the design and construction of prefabricated segments in open-cut subway sections is still in its infancy. Through digital simulation of the design and assembly of wedge-shaped segments, especially in curved sections of the line, when wedge-shaped segments are used for assembly, the feasibility of segment assembly, as well as the position and orientation of the segments can be clarified, which is conducive to guiding on-site construction. Summary of the invention

[0005] In view of the above problems, the present invention is proposed to provide a method for simulating the assembly of prefabricated wedge-shaped segments in an open-cut subway section, which overcomes the above problems or at least partially solves the above problems.

[0006] In order to solve the above technical problems, the embodiments of the present application disclose the following technical solutions:

[0007] The present invention provides a simulated assembly method of assembled wedge-shaped segments in an open-cut subway section, such as Figure 1 ,include:

[0008] S100. Calculate the center position of the initial segment, the angle of the rectangular segment on the plane, and the slope angle along the longitudinal direction of the tunnel according to the line plan, the longitudinal section, and the structural dimensions of the wedge-shaped segment;

[0009] S200. After the current ring of wedge-shaped segments is positioned, the subsequent ring of segments will be determined by combining the previous ring of segments and the center lines of the left and right lines to position the subsequent segments.

[0010] Furthermore, in S100, the method for calculating the plane position of the center position of the initial segment is:

[0011] According to the design requirements, the distance from the center line of the left line to the left line of the structure is set to d A , the distance from the center line of the right line to the right line of the structure is d B The intersection points of the left and right line center lines and the pipe segments on the plane are A1, B1, A2, B 2, The segment height is h;

[0012] When the center line of the right line just passes through the intersection of B1 and B2, B1(X B1 ,Y B1 ) coordinates are directly determined by the starting position of the right line. When the segment is kept horizontal, the horizontal distance between B1 and B2 is After the segment is tilted along the longitudinal slope at an angle of β1, the horizontal distance between B1 and B2 is for:

[0013]

[0014] according to Right line center line positioning and Calculate Point coordinate value; let the B1B2 unit direction vector be The unit direction vector of the structure centerline is The horizontal distance between A1 and A2 is According to the plane position relationship, The plane coordinates of two points can be calculated by the following formula:

[0015]

[0016] Assume that the distances from A1 and A2 to the center line of the left line are When A1 and A2 are on the left side of the center line of the left line, they are negative, and on the right side, they are positive.

[0017]

[0018] Then move the tube segment to Direction translation d, recalculate after translation Point coordinates, at this time, the plane coordinates of the segment structure center O1 are:

[0019] O1=((A1+A2) / 2+(B1+B2) / 2) / 2

[0020] The angle α1 between the center line of the structure and the positive direction of the horizontal x-axis is used as the horizontal direction positioning.

[0021] Furthermore, in S100, the method for calculating the vertical position of the center position of the initial segment is:

[0022] Determine that the slope angle of the current segment assembly position along the longitudinal slope is β1, the slope is i, and the distance from the bottom of the track surface structure is h1, then all segments within the current installation mileage range will be inclined along the longitudinal direction of the line, and the inclination angle is β1;

[0023] Assume that the mileages of B1 and B2 are In the longitudinal section, the corresponding elevation can be obtained through the track surface line in the "mileage-elevation" coordinate system. According to the position of the rail surface line in the structure, the elevation of the center of the structure can be calculated as:

[0024]

[0025] Among them, β1=arctan(i); i is the slope value, h1 is the distance from the bottom of the track surface structure, and h is the height of the segment.

[0026] Furthermore, by calculating the horizontal and vertical positions of the center position of the initial segment, the initial segment position and posture can be determined as in, are the x-axis, y-axis, and z-axis coordinates of the structure center, α1 is the angle between the structure centerline and the positive direction of the horizontal x-axis, β1=arctan(i); i is the slope value.

[0027] Furthermore, in S200, the current segment is divided into a left-turning segment and a right-turning segment, and the subsequent segments are also divided into a left-turning segment and a right-turning segment, and the next segment line curve type is the next ring segment on a straight line, the next ring segment on a left-turning curved line, and the next ring segment on a right-turning curved line.

[0028] Furthermore, when the current segment is a left-turning segment and the next segment is a left-turning segment, the horizontal positioning method is: since the current segment and the next segment are closely fitted together, it can be calculated that the deflection angle of the next segment relative to the current segment on the horizontal plane is γ=π-2θ. At this time, the rotation angle of the next segment relative to the horizontal rightward axis is:

[0029] α n =α n-1 +(π-2θ)

[0030] Line segment A n-1 A n Extend forward Length Get Endpoint by is the center of the circle, As the radius, A' n+1The ideal position of the line in the segment is obtained by rotating the line counterclockwise by an angle of γ. Point coordinates, then:

[0031]

[0032] Similarly, we can get B n+1 Point coordinates, calculate A n+1 Distance to the center line of the left line B n+1 Distance to the center line of the right line

[0033] Furthermore, when the current segment is a left-turning segment and the next segment is a left-turning segment, the next segment is in the same direction as the previous segment, and its plane rotation angle α n =α n-1 , segment A n-1 A n Extend forward The length can be obtained from endpoint A n+1 , that is, according to A n-1 , A n Point coordinates and The length can be directly calculated from A n+1 Coordinates, the distance to the center line of the left line is Similarly, we can get B n+1 Coordinates and in, When the length can be analyzed according to the initial segment, The calculation method is obtained.

[0034] Furthermore, according to the calculated A n+1 Distance to the center line of the left line and B n+1 Distance to the center line of the right line and The next ring segment is determined by combining the line curve type at the position of the next ring segment. The determination method is:

[0035] When the next ring segment is on a straight line, if The next ring of segments is set as the left-turning segment; otherwise, the next ring of segments is set as the right-turning segment; if the next ring of segments is on the left-turning curve, and Then set the next ring segment as a right-turning segment; otherwise, set the next ring segment as a left-turning segment; where dT is a given value, which is determined according to the actual wedge segment size and line curvature; if the next ring segment is on the right-turning curve, and Then set the next ring segment as the left-turn segment; otherwise, set the next ring segment as the right-turn segment.

[0036] Furthermore, when the current segment is a left-turning segment and the next segment is a left-turning segment, the vertical positioning method is:

[0037] The vertical rotation angle of the next ring segment, whether it is a left-turn segment or a right-turn segment, is the same as that of the previous ring segment, that is, the vertical rotation angle is always β1;

[0038] Assume B n , B n+1 The mileage of the location is In the longitudinal section, the corresponding elevation can be obtained through the track surface line in the "mileage-elevation" coordinate system. According to the position of the rail surface line in the structure, the elevation of the center of the structure can be calculated as:

[0039]

[0040] Among them, β1=arctan(i); i is the slope value, h1 is the distance from the bottom of the track surface structure, and h is the height of the segment.

[0041] The beneficial effects of the above technical solution provided by the embodiment of the present invention include at least:

[0042] The present invention discloses a simulated assembly method of assembled wedge-shaped segments in an open-cut subway section, which is characterized by comprising: calculating the center position of the initial segment, the angle of the rectangular segment on the plane, and the slope angle along the longitudinal direction of the tunnel according to the line plan, longitudinal section, and wedge-shaped segment structure size; after the first ring of wedge-shaped segments is positioned, the next ring of segments will be determined by combining the previous ring of segments and the left and right line centerline analysis to position the subsequent segments. The present invention can clarify the feasibility of segment assembly, as well as the segment position, orientation, etc., which is conducive to guiding on-site construction.

[0043] The technical solution of the present invention is further described in detail below through the accompanying drawings and embodiments. BRIEF DESCRIPTION OF THE DRAWINGS

[0044] The accompanying drawings are used to provide further understanding of the present invention and constitute a part of the specification. They are used to explain the present invention together with the embodiments of the present invention and do not constitute a limitation of the present invention.

[0045] In the attached picture:

[0046] Figure 1 This is a flow chart of a simulated assembly method of prefabricated wedge-shaped segments in an open-cut subway section in Example 1 of the present invention;

[0047] Figure 2These are two types of planar projected wedge-shaped segments in Embodiment 1 of the present invention;

[0048] Figure 3 is an initial segment plane positioning diagram in Embodiment 1 of the present invention;

[0049] Figure 4 is a schematic cross-sectional view of an initial rectangular tube segment in Example 1 of the present invention;

[0050] Figure 5 These are two splicing situations in which the current segment is a left-turn segment in Embodiment 1 of the present invention;

[0051] Figure 6 These are two splicing situations in Example 1 of the present invention, where the current segment is a right-turn segment. DETAILED DESCRIPTION

[0052] The exemplary embodiments of the present disclosure will be described in more detail below with reference to the accompanying drawings. Although the exemplary embodiments of the present disclosure are shown in the accompanying drawings, it should be understood that the present disclosure can be implemented in various forms and should not be limited by the embodiments set forth herein. On the contrary, these embodiments are provided to enable a more thorough understanding of the present disclosure and to fully convey the scope of the present disclosure to those skilled in the art.

[0053] In order to solve the problems existing in the prior art, an embodiment of the present invention provides a method for simulating the assembly of prefabricated wedge-shaped segments in an open-cut subway section.

[0054] Example 1

[0055] This embodiment discloses a simulated assembly method of assembled wedge-shaped segments in an open-cut subway section. Figure 1 ,include:

[0056] S100. Calculate the center position of the initial segment, the angle of the rectangular segment on the plane, and the slope angle along the longitudinal direction of the tunnel according to the line plan, the longitudinal section, and the structural dimensions of the wedge-shaped segment;

[0057] S200. After the current ring of wedge-shaped segments is positioned, the subsequent ring of segments will be determined by combining the previous ring of segments and the center lines of the left and right lines to position the subsequent segments.

[0058] Specifically, the centerline of the subway section line is divided into three types in the plane: straight line, gentle curve and circular curve, all of which can be assembled with wedge-shaped segments. The left rail top surface curve in the longitudinal section is divided into straight line and circular arc vertical curve. The mileage range of continuous assembly of wedge-shaped segments is generally that the left rail top surface line in the longitudinal section is a straight line, and there is no sudden change in the cross section, that is, there will be no expanded section of the jet fan section and the connecting channel position in the cross section, which are generally cast-in-place sections.

[0059] Suppose that along the line's forward direction, the wedge-shaped segment whose left width is smaller than its right width is called a "left-turn segment", and vice versa, it is called a "right-turn segment". The left and right widths of the left-turn segment are equal to the right and left widths of the right-turn segment, respectively. Figure 2 .

[0060] In this embodiment, the initial segment positioning is to calculate the center position of the initial segment, the angle of the rectangular segment on the plane and the slope angle along the longitudinal direction of the tunnel according to the line plan, the longitudinal section and the structural dimensions of the wedge-shaped segment.

[0061] (1) Plane positioning

[0062] Assume that the centerline of the left and right lines is curved to the left. Figure 2 As shown in the figure, the first wedge segment can be set as a left-turn segment. Assume that according to the design requirements, the distance from the center line of the left line to the left side line of the structure is d A , the distance from the center line of the right line to the right line of the structure is d B The intersection points of the left and right line center lines and the segments on the plane are A1, B1, A2, and B2 respectively.

[0063] When setting the initial segment plane position, first set the center line of the right line to pass through the intersection of B1 and B2. B1 ,Y B1 ) coordinates can be directly determined by the starting position of the right line, and B2(X B2 ,Y B2 ) coordinates, assuming that the horizontal distance between B1 and B2 when the segment is kept horizontal is After the segment is tilted along the longitudinal slope at an angle of β1, the horizontal distance between B1 and B2 is

[0064]

[0065] according to Right line center line positioning and It can be calculated Point coordinates. Figure 3 In the middle figure (a), B1B2∥A1A2, B1B2⊥the center line of the structure, and the unit direction vector of B1B2 is The unit direction vector of the structure centerline is The horizontal distance between A1 and A2 is According to the plane position relationship, The plane coordinates of two points can be calculated by the following formula:

[0066]

[0067] Points A1 and A2 may not be on the center line of the left line. Suppose the distances from A1 and A2 to the center line of the left line are When A1 and A2 are on the left side of the center line of the left line, they are negative, and on the right side, they are positive.

[0068]

[0069] Then move the tube segment to Direction translation d, recalculate after translation Point coordinates, translation results are as follows Figure 3 As shown in the middle figure (b), at this time, the plane coordinates of the center O1 of the segment structure are:

[0070] O1=((A1+A2) / 2+(B1+B2) / 2) / 2

[0071] According to the plane Figure 3 In the middle figure (b), the angle α1 between the center line of the structure and the positive direction of the horizontal x-axis is used as the horizontal direction.

[0072] (2) Vertical positioning

[0073] Within the mileage of a section of line used for assembling wedge-shaped segments, the slope must remain constant. It is known that the slope angle along the longitudinal slope of the current segment assembly position is β1 (see Figure 4 In the middle figure (a), the slope is i and the distance from the bottom of the track surface structure is h1. Then all the segments within the current installation mileage will be inclined along the longitudinal direction of the line, and the inclination angle is β1.

[0074] Assume that the mileages of B1 and B2 are In the longitudinal section, the corresponding elevation can be obtained through the track surface line in the "mileage-elevation" coordinate system. According to the position of the rail surface line in the structure, the elevation of the center of the structure can be calculated as:

[0075]

[0076] Among them, β1=arctan(i); i is the slope value.

[0077] According to the above analysis, the initial segment position and posture can be determined as follows: 2. Subsequent segment positioning

[0078] After the first ring of wedge-shaped segments is positioned, the next ring of segments will be determined by combining the previous ring of segments and the centerline analysis of the left and right lines.

[0079] When the current segment is a left-turn segment, the next ring segment may be either a left-turn segment or a right-turn segment. The specific consideration needs to be combined with the flat curve type of the next ring segment position. The same is true for the case where the current segment is a left-turn segment.

[0080] 1) The current segment is a left-turn segment

[0081] (1) Plane positioning

[0082] On the plane, the next ring of segments may be left-turn segments or right-turn segments. The specific turning segment to be used is determined through analysis.

[0083] ①The next ring segment is the left turning segment

[0084] If the next ring segment is a left-turn segment, Figure 5 As shown in the middle figure (a), since the current segment and the next segment are closely fitted together, it can be calculated that the deflection angle of the next segment relative to the current segment on the horizontal plane is γ = π-2θ. At this time, the rotation angle of the next segment relative to the horizontal rightward axis is:

[0085] α n =α n-1 +(π-2θ)

[0086] Line segment A n-1 A n Extend forward Length Get Endpoint by is the center of the circle, As the radius, A' n+1 The ideal position of the line in the segment is obtained by rotating the line counterclockwise by an angle of γ. Point coordinates, then

[0087]

[0088] Similarly, we can get B n+1 Point coordinates, calculate A n+1 Distance to the center line of the left line B n+1 Distance to the center line of the right line

[0089] ②The next ring segment is the right turning segment

[0090] If the next ring segment is a right-turn segment, Figure 5 As shown in the middle figure (b), the next ring segment is in the same direction as the previous ring segment, and its plane is rotated by an angle α n =α n-1 , segment A n-1 A n Extend forward The length can be obtained from endpoint A n+1 , that is, according to A n-1 , A n Point coordinates and The length can be directly calculated from A n+1 Coordinates, the distance to the center line of the left line is Similarly, we can get B n+1 Coordinates and in, When the length can be analyzed according to the initial segment, The calculation method is obtained.

[0091] According to the calculation results of ① and ② above, the setting method of the next ring segment is determined in combination with the line curve type at the position of the next ring segment:

[0092] ① The next ring of segments is on a straight line

[0093] like Then the next ring segment is set as the left turning segment;

[0094] Otherwise, the next ring segment is set as a right-turn segment.

[0095] ② The next ring segment is on the left turning line

[0096] like and Then the next ring segment is set as the right turning segment;

[0097] Otherwise, set the next ring segment as the left-turn segment.

[0098] Among them, d T is a given value, determined according to the actual wedge segment size and line curvature.

[0099] ③The next ring segment is on the right turning curve

[0100] like and Then the next ring segment is set as the left turning segment;

[0101] Otherwise, set the next ring segment as the right-turn segment.

[0102] When analyzing the next ring of segments, the current segment already knows The plane coordinates of the two points are combined with the A calculated previously. n+1 , B n+1 Coordinates, the center of the next ring segment can be calculated The coordinates are as follows:

[0103] O n =(A n +B n +A n+1 +B n+1 ) / 4

[0104] (2) Vertical positioning

[0105] No matter whether the next ring of segments is a left-turning segment or a right-turning segment, its vertical rotation angle is the same as that of the previous ring of segments, that is, the vertical rotation angle is always β1.

[0106] exist Figure 5 In Figure (a) or Figure 5 (b), let B n , B n+1 The mileage of the location is In the longitudinal section, the corresponding elevation can be obtained through the track surface line in the "mileage-elevation" coordinate system. According to the position of the rail surface line in the structure, the elevation of the center of the structure can be calculated as:

[0107]

[0108] Where, β1 = arctan(i);

[0109] i is the slope value. h1, h, β1 see Figure 3 .

[0110] According to the above analysis, we can know that:

[0111] If the next ring segment is a left-turn segment, the position and posture of the next segment can be determined as

[0112] If the next ring segment is a right-turn segment, the next ring segment on the plane does not rotate relative to the previous ring segment, and the angle is still α n-1 , then the position and posture of the next piece can be determined as:

[0113] 2) The current segment is a right-turn segment

[0114] If the current segment is a right-turn segment, the next segment may be a left-turn segment or a right-turn segment. Figure 6 The analysis and calculation process is similar to that of the current segment being a left-turn segment, and will not be described in detail.

[0115] It should be understood that the specific order or hierarchy of steps in the disclosed process is an example of an exemplary method. Based on design preferences, it should be understood that the specific order or hierarchy of steps in the process can be rearranged without departing from the scope of protection of the present disclosure. The attached method claims present the elements of the various steps in an exemplary order and are not intended to be limited to the specific order or hierarchy described.

[0116] In the above detailed description, various features are grouped together in a single embodiment to simplify the disclosure. This method of disclosure should not be interpreted as reflecting an intention that the embodiments of the claimed subject matter require more features than are clearly stated in each claim. On the contrary, as reflected in the appended claims, the invention is in a state of having less than all the features of the disclosed individual embodiments. Therefore, the appended claims are hereby expressly incorporated into the detailed description, with each claim standing on its own as a separate preferred embodiment of the invention.

[0117] Those skilled in the art will also appreciate that the various illustrative logic blocks, modules, circuits, and algorithmic steps described in conjunction with the embodiments herein can all be implemented as electronic hardware, computer software, or a combination thereof. In order to clearly illustrate the interchangeability between hardware and software, various illustrative components, blocks, modules, circuits, and steps are generally described above around their functions. Whether such functions are implemented as hardware or software depends on specific applications and the design constraints imposed on the entire system. A skilled person can implement the described functions in an alternative manner for each specific application, but such implementation decisions should not be interpreted as departing from the scope of protection of the present disclosure.

[0118] The steps of the method or algorithm described in conjunction with the embodiments herein may be directly embodied as hardware, a software module executed by a processor, or a combination thereof. The software module may be located in a RAM memory, a flash memory, a ROM memory, an EPROM memory, an EEPROM memory, a register, a hard disk, a mobile disk, a CD-ROM, or any other form of storage medium well known in the art. An exemplary storage medium is connected to the processor so that the processor can read information from the storage medium and can write information to the storage medium. Of course, the storage medium may also be an integral part of the processor. The processor and the storage medium may be located in an ASIC. The ASIC may be located in a user terminal. Of course, the processor and the storage medium may also be present in a user terminal as discrete components.

[0119] For software implementation, the techniques described in this application can be implemented with modules (e.g., procedures, functions, etc.) that perform the functions described in this application. These software codes can be stored in a memory unit and executed by a processor. The memory unit can be implemented within the processor or outside the processor. In the latter case, it is coupled to the processor in a communication manner via various means, which are well known in the art.

[0120] The above description includes examples of one or more embodiments. Of course, it is impossible to describe all possible combinations of components or methods for the purpose of describing the above embodiments, but it should be recognized by those skilled in the art that the various embodiments may be further combined and arranged. Therefore, the embodiments described herein are intended to cover all such changes, modifications and variations that fall within the scope of protection of the appended claims. In addition, with respect to the term "comprising" used in the specification or claims, the word is covered in a manner similar to the term "including", just as "including," is explained as a transitional word in the claims. In addition, any term "or" used in the specification of the claims is intended to mean "non-exclusive or".

Claims

1. A method for simulating the assembly of prefabricated wedge-shaped segments in an open-cut subway section, characterized in that: include: S100. According to the line plan, longitudinal section and wedge-shaped segment structure dimensions, the center position of the initial segment, the angle of the rectangular segment on the plane and the slope angle along the longitudinal direction of the tunnel are calculated; in S100, the method for calculating the plane position of the center position of the initial segment is: According to the design requirements, the distance from the center line of the left line to the left line of the initial segment structure is set to d A , the distance from the center line of the right line to the right line of the structure is d B , the intersection points of the left and right line center lines and the initial segment on the plane are A1, B1, A2, B2 respectively, and the initial segment height is h; When the center line of the right line just passes through the intersection of B1 and B2, The coordinates are directly determined by the starting position of the right line. Assuming that the horizontal distance between B1 and B2 when the initial segment is horizontal is , then after the initial segment is inclined along the longitudinal slope at an angle of β1, the horizontal distance between B1 and B2 is for: ; according to , right line centerline positioning and Calculate Point coordinate value; let the B1B2 unit direction vector be , the unit direction vector of the initial segment structure centerline is , the horizontal distance between B1 and B2 is , then according to the plane position relationship, , The plane coordinates of the two points are calculated by the following formula: ; ; Assume that the distances from A1 and A2 to the center line of the left line are , , when A1 and A2 are on the left side of the center line of the left line, they are negative, and on the right side, they are positive. ; Then the initial segment is Direction translation d, recalculate after translation , , , Point coordinates, at this time, the plane coordinates of the initial segment structure center O1 are: ; And the angle α1 between the structure centerline and the positive direction of the horizontal x-axis is used as the horizontal direction positioning; S200. After the current ring of wedge-shaped segments is positioned, the subsequent ring of segments will be determined by combining the previous ring of segments and the center lines of the left and right lines to position the subsequent segments.

2. The method for simulating assembly of prefabricated wedge-shaped segments in an open-cut subway section according to claim 1, characterized in that: In S100, the method for calculating the vertical position of the center position of the initial segment is: Determine that the slope angle of the initial segment assembly position along the longitudinal slope is β1, the slope is i, and the distance from the bottom of the track surface structure is h1. Then all segments within the current installation mileage range will be inclined along the longitudinal direction of the line, and the inclination angle is β1; Assume that the mileages of B1 and B2 are , , then in the longitudinal section, the corresponding elevation is obtained through the track surface line in the "mileage-elevation" coordinate system , According to the position of the rail surface line in the structure, the initial segment structure center position elevation is calculated as: ; Among them, β1=arctan(i); i is the slope value, h1 is the distance from the bottom of the track surface structure, and h is the initial segment height.

3. The method for simulating assembly of prefabricated wedge-shaped segments in an open-cut subway section according to claim 2, characterized in that: By calculating the horizontal and vertical positions of the center position of the initial segment, the initial segment position and attitude are determined as ;in, are the x-axis, y-axis, and z-axis coordinates of the center of the initial segment structure, α1 is the angle between the center line of the initial segment structure and the positive direction of the horizontal x-axis, β1=arctan(i); i is the slope value.

4. The method for simulating assembly of prefabricated wedge-shaped segments in an open-cut subway section according to claim 1, characterized in that: In S200, the current segment is divided into a left-turning segment and a right-turning segment, and the subsequent segments are also divided into a left-turning segment and a right-turning segment. The line curve type of the next segment is that the next ring segment is on a straight line, the next ring segment is on a left-turning curved line, and the next ring segment is on a right-turning curved line.

5. The method for simulating assembly of prefabricated wedge-shaped segments in an open-cut subway section according to claim 4, characterized in that: When the current segment is a left-turning segment and the next segment is a left-turning segment, the horizontal positioning method is: since the current segment and the next segment are closely fitted together, it is calculated that the deflection angle of the next segment relative to the current segment on the horizontal plane is γ=π-2θ. At this time, the rotation angle of the next segment relative to the horizontal rightward axis is: ; Where θ is the angle of the lower base of the left-turning segment, and n is the number of segments. n-1 A n Extend forward Length Get Endpoint ,by is the center of the circle, As the radius, A' n+1 The ideal position of the line in the segment is obtained by rotating the line counterclockwise by an angle of γ. Point coordinates, then: ; ; ; Similarly, we get B n+1 Point coordinates, calculate A respectively n+1 Distance to the center line of the left line , B n+1 Distance to the center line of the right line .

6. The method for simulating assembly of prefabricated wedge-shaped segments in an open-cut subway section according to claim 5, characterized in that: When the current segment is a left-turning segment and the next segment is a left-turning segment, the next segment is in the same direction as the previous segment, and its plane rotation angle α n =α n-1 , segment A n-1 A n Extend forward Length gets endpoint A n+1 , that is, according to A n-1 , A n Point coordinates and The length is directly calculated from A n+1 Coordinates, the distance to the center line of the left line is ; Similarly, we get B n+1 Coordinates and ;in, When the length is analyzed according to the initial segment, The calculation method is obtained.

7. The method for simulating assembly of prefabricated wedge-shaped segments in an open-cut subway section according to claim 6, characterized in that: According to the calculated A n+1 Distance to the center line of the left line and , B n+1 Distance to the center line of the right line and , the next ring segment is determined in combination with the line curve type at the position of the next ring segment. The determination method is: When the next ring segment is on a straight line, if , the next ring of segments is set as the left-turning segment; otherwise, the next ring of segments is set as the right-turning segment; when the next ring of segments is on the left-turning curve, if and , then the next ring segment is set as a right-turn segment; otherwise, the next ring segment is set as a left-turn segment; where dT is a given value, which is determined according to the actual wedge segment size and line curvature; if the next ring segment is on the right-turn curve, and , the next ring segment is set as the left-turning segment; otherwise, the next ring segment is set as the right-turning segment.

8. The method for simulating assembly of prefabricated wedge-shaped segments in an open-cut subway section according to claim 4, characterized in that: When the current segment is a left-turning segment and the next segment is a left-turning segment, the vertical positioning method is: The vertical rotation angle of the next ring segment, whether it is a left-turn segment or a right-turn segment, is the same as that of the previous ring segment, that is, the vertical rotation angle is always β1; Assume B n , B n+1 The mileage of the location is , , then in the longitudinal section, the corresponding elevation is obtained through the track surface line in the "mileage-elevation" coordinate system , According to the position of the rail surface line in the structure, the elevation of the center position of the current segment structure is calculated as: ; Among them, β1=arctan(i); i is the slope value, h1 is the distance from the bottom of the track surface structure, and h is the height of the segment.