Shield shell segment splicing point location and typesetting method

Abstract

The invention discloses a shield shell segment splicing point location and typesetting method which comprises the following steps: S1, establishing an xOy plane rectangular coordinate system, and placing an easement curve section of a shield tunnel in the plane rectangular coordinate system; s2, according to the waterproof requirement of the shield tunnel, the splicing point position of the duct piece of the easement curve section is determined; and S3, selecting at least one wedge-shaped ring group according to whether the easement curve section is a small-radius turning section or not and whether a section, close to a straight and slow point, of the easement curve section is small in curvature or not, and performing staggered joint assembly. The method has the advantages that the splicing point position of the duct piece of the easement curve section is determined, and according to whether the easement curve section is a small-radius turning section or not and whether the section, close to a straight and slow point, of the easement curve section is small in curvature or not, at least one wedge-shaped ring set is selected for staggered joint splicing; therefore, rapid assembly of the duct pieces of the easement curve section of the shield tunnel is achieved.

Description

Technical Field

[0001] The invention belongs to the technical field of tunnel engineering, and in particular relates to a shield shell segment assembly point and layout method. Background Art

[0002] The shield segment is the permanent lining structure of the shield tunnel. The quality of the shield segment is directly related to the overall quality and safety of the tunnel, and affects the waterproof performance and durability of the tunnel. A ring of shield segments is called a segment ring. Universal segments refer to all segment rings with only one form, which can be used in both straight segments and curved segments. Universal rings refer to universal segment lining rings, also known as universal segment rings or universal wedge-shaped segment rings. The segments are assembled by staggered assembly. A ring of segments is generally assembled by several A-type segments (i.e. standard blocks), two B-type segments (i.e. adjacent blocks) and one K-type segment (i.e. capping block, referred to as K block). The segment assembly point refers to the position of the capping block (i.e. K block) during assembly, specifically the position in the middle of the capping block. In China, shield segments with a graduation of 22.5° and 36° have universal ring designs. Based on the general ring assembly requirements of tunnel engineering segments, capping blocks may appear at all indexing positions. The number of assembly points of capping blocks in shield segments with a 36° indexing is 10, and the number of assembly points of capping blocks in shield segments with a 22.5° indexing is 16. However, for the gentle curve section of the shield tunnel, it is impossible to quickly assemble the segments. Therefore, a shield segment assembly point and layout method is needed. Summary of the invention

[0003] The purpose of the present invention is to provide a shield shell segment assembly point and layout method based on the above-mentioned deficiencies in the prior art, determine the assembly points of the segments of the transition curve section, and select at least one wedge ring group for staggered assembly according to whether the transition curve section is a small radius turning section and whether the section of the transition curve section adjacent to the straight transition point has a small curvature, thereby realizing the rapid assembly of the segments of the transition curve section of the shield tunnel.

[0004] The purpose of the present invention is achieved by the following technical solutions:

[0005] A shield segment assembly point and layout method, the method comprising the following steps:

[0006] S1: Establishing an xOy plane rectangular coordinate system, and placing the transition curve section of the shield tunnel in the plane rectangular coordinate system;

[0007] The straight and slow points of the transition curve segment are placed at the origin of the coordinate axis of the plane rectangular coordinate system, the straight and slow points of the transition curve segment are connected to the straight line segment of the shield tunnel, and the slow and round points of the transition curve segment are connected to the circular curve segment of the shield tunnel; the straight line segment is assembled through a straight line ring; the circular curve segment is assembled through a wedge ring;

[0008] S2: Determine the assembly points of the segments of the transition curve section according to the waterproof requirements of the shield tunnel;

[0009] The assembly point refers to the position of the middle of the capping block when the segments are assembled; the assembly point of the segments of the transition curve section refers to the points on the upper half of the segments except the vertex; the segments of the transition curve section use a wedge ring group, the wedge ring group includes two wedge rings, and a plurality of straight rings are arranged between the two wedge rings;

[0010] S3: selecting at least one of the wedge ring groups and performing staggered assembly according to whether the transition curve segment is a small radius turning segment and whether the segment of the transition curve segment adjacent to the straight transition point has a small curvature;

[0011] S3.1: When the transition curve segment is not a small radius turning segment, one of the wedge ring groups is used, and the first ring of the transition curve segment is the straight ring; the width of the wedge ring of the wedge ring group is the same as the width of the straight ring of the straight segment, and the number of the wedge rings is calculated by the segment advance amount;

[0012] S3.2: When the transition curve section is a small radius turning section, a wedge ring group is used, and the first ring of the transition curve section is the straight ring; the wedge ring width of the wedge ring group is smaller than the straight ring width of the straight segment, and the number of the wedge rings is calculated by the segment lead angle;

[0013] S3.3: When the section of the transition curve segment adjacent to the straight transition point has a small curvature, a plurality of wedge ring groups are used, and the first ring of the transition curve segment is the straight line ring; the number of the wedge rings is calculated by the curvature threshold point.

[0014] The curve equation of the transition curve segment in the plane rectangular coordinate system is:

[0015]

[0016] Where R is the turning radius of the circular curve segment; L is the curve length of the transition curve segment, V is the design speed of the train; φ is the tangent angle corresponding to the slow point; x 1 is the horizontal coordinate of the slow circle point in the plane rectangular coordinate system.

[0017] In step S3.1, on the transition curve segment, the segment advance amount is:

[0018]

[0019] Where D is the segment diameter;

[0020] The amount of the wedge ring used on the transition curve segment is:

[0021]

[0022] Wherein, δ' is the horizontal calculated wedge amount of the wedge ring group; N t Take an even number.

[0023] In step S3.1, the segment assembly cycle steps of the transition curve section are as follows:

[0024] Step 1: Determine the curve equation of the transition curve segment in the plane rectangular coordinate system and the horizontal rotation angle after the segment selects the control point position and the vertical offset of the segment δ' H ;

[0025] Step 2: Assuming that the next segment to be spliced ​​in the transition curve segment is the straight line loop, the starting point and the end point of the center line of the next segment to be spliced ​​are (x i ,y i ) and (x i+1 ,y i+1 );

[0026] Step 3: Determine (x i+1 ,y i+1 ) exceeds the slow point coordinate (x 1 ,y 1 ), the condition is: x i+1 ≥x 1 or i+1 ≥y 1 ;

[0027] Step 3.1: If yes, then end;

[0028] Step 3.2: If not, find (x i ,y i ) and (x i+1 ,y i+1 ) The shortest distance from two points to the transition curve segment, take the larger value D i , and record the accumulated vertical offset H of the segment i ; Judge H i Is it greater than the maximum allowable error D max ;

[0029] Step 3.2.1: If yes, the wedge ring is selected as the next segment to be spliced ​​in the transition curve section, and steps 2 and 3 are repeated;

[0030] Step 3.2.2: If no, then determine D i Is it greater than the reduction value η·D of the maximum allowable deviation? max ; In the formula, η is the reduction coefficient, which is 0.4-0.6;

[0031] Step 3.2.2.1: If yes, return to step 3.2.1;

[0032] Step 3.2.2.2: If not, the next segment to be spliced ​​in the transition curve segment is the straight line ring, and the process returns to step 2.

[0033] In step S3.3, the curvature threshold point is calculated as follows:

[0034] The horizontal calculated wedge amount δ' of the wedge ring group and the horizontal rotation angle of the wedge ring after selecting the control point are known. and the center width H of the pipe ring, according to the similar principle, the minimum turning radius R applicable to the wedge ring group can be obtained. k , and then calculate the radius of curvature according to the formula: In the formula, k is the curvature, y' and y" are the first and second order derivatives of y with respect to x, respectively, which can derive a non-homogeneous linear equation only about x;

[0035] According to the monotonicity of the axis of the transition curve segment, the non-homogeneous linear equation must have one real root; the non-homogeneous linear equation requires a high-precision bisection method to obtain an accurate solution, but the curvature threshold point is only a fixed point selected by the wedge ring, so based on the magnitude of the segment width, the bisection method only needs to ensure that the error is 0.01 to be used as an accurate solution.

[0036] The advantages of the present invention are: determining the assembly points of the pipe segments of the transition curve section, and selecting at least one wedge ring group for staggered assembly according to whether the transition curve section is a small radius turning section and whether the section of the transition curve section adjacent to the straight transition point has a small curvature, thereby realizing the rapid assembly of the pipe segments of the transition curve section of the shield tunnel. BRIEF DESCRIPTION OF THE DRAWINGS

[0037] Figure 1 It is a schematic diagram of the transition curve segment of the present invention in a plane rectangular coordinate system;

[0038] Figure 2 It is a schematic diagram of a pipe segment with 16 assembly points according to the present invention;

[0039] Figure 3 This is a logical diagram of the segment assembly cycle of the transition curve section in step S3.1 of the present invention;

[0040] Figure 4 This is a schematic diagram of the distance between the pipe segment and the axis of the transition curve section in step S3.1 of the present invention;

[0041] Figure 5 Schematic diagram of the logical changes of the segment assembly cycle of the transition curve section in step S3.3 of the present invention relative to step S3.1. DETAILED DESCRIPTION

[0042] The features of the present invention and other related features are further described in detail below through embodiments in conjunction with the accompanying drawings to facilitate understanding by those skilled in the art:

[0043] Example: Figure 1-5 As shown, this embodiment specifically relates to a shield segment assembly point and layout method, which mainly includes the following steps:

[0044] S1: Establish the xOy plane rectangular coordinate system and place the transition curve section of the shield tunnel in the plane rectangular coordinate system.

[0045] Among them, Figure 1 As shown, the straight-to-smooth point (starting point) of the transition curve segment is placed at the origin of the coordinate axis of the plane rectangular coordinate system, the straight-to-smooth point of the transition curve segment is connected to the straight line segment of the shield tunnel, and the round-to-round point (end point) of the transition curve segment is connected to the circular curve segment of the shield tunnel; the straight line segments are assembled through straight line rings; and the circular curve segments are assembled through wedge rings.

[0046] The curve equation of the transition curve segment in the plane rectangular coordinate system is:

[0047]

[0048] Where R is the turning radius of the circular curve segment; L is the curve length of the transition curve segment, V is the design speed of the train; φ is the tangent angle corresponding to the slow circle point; x 1 is the horizontal coordinate of the slow circle point in the plane rectangular coordinate system.

[0049] S2: Determine the assembly points of the segments in the transition curve section according to the waterproof requirements of the shield tunnel.

[0050] Among them, the assembly point refers to the position of the middle of the capping block when the segments are assembled. The assembly points of the segments in the transition curve section are the points on the upper half of the segments except the vertex. If the assembly point is at the highest point, the capping blocks of all the segments in the transition curve section will be located on the plane at the same height, which is not conducive to the stability and waterproofing of the overall structure. The segments in the transition curve section use a wedge ring group. The wedge ring group includes two wedge rings. Several straight rings are arranged between the two wedge rings. In order to ensure strict staggered assembly and facilitate the control of vertical offset, the number of straight rings in each wedge ring group is an even number. The assembly points of two adjacent segments of the wedge ring group are also set adjacently, such as Figure 2As shown, assuming that a segment with 16 assembly points is selected, the vertex position is 16, and the assembly points of the segment can be selected from 1, 2, 3, 4, 12, 13, 14 and 15. If the assembly point of one segment is 1, then the assembly point of the other adjacent segment is 2.

[0051] S3: According to whether the transition curve segment is a small radius turning segment and whether the segment of the transition curve segment adjacent to the straight transition point has a small curvature, at least one wedge ring group is selected and staggered assembly is performed.

[0052] S3.1: When the transition curve segment is not a small radius turning section, a wedge ring group is used, and the first ring of the transition curve segment is a straight ring; the wedge ring width of the wedge ring group is the same as the straight ring width of the straight segment, and the number of wedge rings is calculated by the advance amount of the segment.

[0053] Among them, on the transition curve section, the segment advance amount is:

[0054]

[0055] Where D is the segment diameter;

[0056] The amount of wedge ring used on the transition curve segment is:

[0057]

[0058] Where δ' is the horizontal calculated wedge amount of the wedge ring group; N t Take an even number.

[0059] like Figure 3 As shown in the figure, the assembly cycle steps of the transition curve segment are as follows:

[0060] Step 1: Determine the curve equation of the transition curve segment in the plane rectangular coordinate system and the horizontal angle after the segment selects the control point and the vertical offset of the segment δ' H .

[0061] Step 2: Assuming that the next segment to be spliced ​​in the transition curve is a straight ring, the starting point and end point of the center line of the next segment to be spliced ​​are (x i ,y i ) and (x i+1 ,y i+1 ).

[0062] Step 3: Determine (x i+1 ,y i+1 ) exceeds the slow point coordinate (x 1 ,y 1 ), the condition is: x i+1≥x 1 or i+1 ≥y 1 .

[0063] Step 3.1: If yes, then end.

[0064] Step 3.2: If no, Figure 4 As shown, find (x i ,y i ) and (x i+1 ,y i+1 ) The shortest distance D between two points and the transition curve segment i1 and D i2 , take the larger value D i , and record the accumulated vertical offset H of the segment i ; Judge H i Is it greater than the maximum allowable error D max .

[0065] Among them, D i1 The calculation method is as follows:

[0066] Assume that in the i-th ring pipe fragment, that is, in A i =(x i ,y i ) and A i+1 =(x i+1 ,y i+1 ) to select the segment, the transition curve segment has a previous point P(x p ,y p ), which is exactly perpendicular to the tangent line of the transition curve segment at point P, and the tangent line L is obtained. 1 :y=f'(x p )·x+f(x p )-f'(x p )·x p , where f(x p ) is about x p The function, f'(x p ) is f(x p ) for x p The first derivative of i , P.A. i The straight line L 2 The slope is:

[0067]

[0068] Because L 1 ⊥L 2 , so we have:

[0069]

[0070] Only x p An unknown number is a quintic polynomial equation. P(x p ,y p ), the problem is transformed into the distance from a point outside the straight line to the straight line, and the formula is:

[0071]

[0072] Step 3.2.1: If yes, use a wedge ring as the next segment to be spliced ​​in the transition curve section and repeat steps 2 and 3.

[0073] Step 3.2.2: If no, then determine D i Is it greater than the reduction value η·D of the maximum allowable deviation? max ; In the formula, η is the reduction coefficient, which is 0.4-0.6.

[0074] Step 3.2.2.1: If yes, return to step 3.2.1.

[0075] Step 3.2.2.2: If no, use a straight line loop as the next segment to be spliced ​​in the transition curve segment and return to step 2.

[0076] S3.2: When the transition curve section is a small radius turning section, a wedge ring group is used, and the first ring of the transition curve section is a straight ring; the wedge ring width of the wedge ring group is smaller than the straight ring width of the straight segment, and the number of wedge rings is calculated by the segment advance angle.

[0077] Among them, the different segment widths do not affect the entire calculation cycle process (same as step S3.1), but only cause the wedge ring to be used in the cycle after A i and A i+1 Due to the change, the segment advance value cannot be used to calculate the number of wedge ring segments, but the segment advance angle can still be used for calculation.

[0078] S3.3: When the section of the transition curve segment adjacent to the straight transition point has a small curvature, multiple wedge ring groups are used, and the first ring of the transition curve segment is a straight line ring; the number of wedge rings is calculated by the curvature threshold point.

[0079] Among them, the curvature threshold point (x k ,y k ), is determined by the selected wedge ring group with the smallest amount of wedges. The actual meaning is: after this point, even if the same wedge ring group is used continuously, the deviation cannot be reduced, and other wedge ring groups must be used. The curvature threshold point is not unique. If more than three wedge ring groups are selected, there is a curvature threshold point between every two adjacent wedge ring groups.

[0080] The curvature threshold point is calculated as follows:

[0081] The horizontal calculation wedge amount δ' of the known wedge ring group and the horizontal rotation angle after the wedge ring selects the control point position and the center width H of the pipe ring, according to the similar principle, the minimum turning radius R applicable to the wedge ring group can be obtained k , and then calculate the radius of curvature according to the formula: Where k is the curvature, y' and y" are the first and second order derivatives of y with respect to x, respectively. This gives a non-homogeneous linear equation only about x.

[0082] According to the monotonicity of the axis of the transition curve segment, the non-homogeneous linear equation must have one real root; the non-homogeneous linear equation requires a high-precision bisection method to obtain an accurate solution, but the curvature threshold point is only a fixed point selected by the use of a wedge ring. Therefore, based on the magnitude of the segment width, the bisection method only needs to ensure that the error is 0.01 to be used as an accurate solution.

[0083] like Figure 5 As shown, assuming that two wedge ring groups are used, the wedge ring of the wedge ring group with a smaller wedge amount is wedge ring a, and the wedge ring of the wedge ring group with a larger wedge amount is wedge ring b. The whole cycle remains unchanged (same as step S3.1), and only one conditional judgment needs to be added, namely: judging H i Is it greater than the maximum allowable error D max If H i Greater than the maximum allowable error D max , then judge whether the segment reaches the curvature threshold point (x k ,y k ); if H i Not greater than the maximum allowable error D max , then judge D i Is it greater than the reduction value η·D of the maximum allowable deviation? max If D i Greater than the maximum allowable deviation reduction value η·D max , then judge whether the segment reaches the curvature threshold point (x k ,y k ); If the segment reaches the curvature threshold point (x k ,y k ), then assemble the wedge ring b; if the segment does not reach the curvature threshold point (x k ,y k ), then assemble the wedge ring a.

[0084] The beneficial effects of this embodiment are: determining the assembly points of the pipe segments of the transition curve section, and selecting at least one wedge ring group for staggered assembly according to whether the transition curve section is a small radius turning section and whether the section of the transition curve section adjacent to the straight transition point has a small curvature, thereby achieving rapid assembly of the pipe segments of the transition curve section of the shield tunnel.

Claims

1. A shield segment assembly point and layout method, characterized in that The method comprises the following steps: S1: Establishing an xOy plane rectangular coordinate system, and placing the transition curve section of the shield tunnel in the plane rectangular coordinate system; The straight and slow points of the transition curve segment are placed at the origin of the coordinate axis of the plane rectangular coordinate system, the straight and slow points of the transition curve segment are connected to the straight line segment of the shield tunnel, and the slow and round points of the transition curve segment are connected to the circular curve segment of the shield tunnel; the straight line segment is assembled through a straight line ring; the circular curve segment is assembled through a wedge ring; S2: Determine the assembly points of the segments of the transition curve section according to the waterproof requirements of the shield tunnel; The assembly point refers to the position of the middle of the capping block when the segments are assembled; the assembly point of the segments of the transition curve section refers to the points on the upper half of the segments except the vertex; the segments of the transition curve section use a wedge ring group, the wedge ring group includes two wedge rings, and a plurality of straight rings are arranged between the two wedge rings; S3: selecting at least one of the wedge ring groups and performing staggered assembly according to whether the transition curve segment is a small radius turning segment and whether the segment of the transition curve segment adjacent to the straight transition point has a small curvature; S3.1: When the transition curve segment is not a small radius turning segment, one of the wedge ring groups is used, and the first ring of the transition curve segment is the straight ring; the width of the wedge ring of the wedge ring group is the same as the width of the straight ring of the straight segment, and the number of the wedge rings is calculated by the segment advance amount; S3.2: When the transition curve section is a small radius turning section, a wedge ring group is used, and the first ring of the transition curve section is the straight ring; the wedge ring width of the wedge ring group is smaller than the straight ring width of the straight segment, and the number of the wedge rings is calculated by the segment lead angle; S3.3: When the section of the transition curve segment adjacent to the straight transition point has a small curvature, a plurality of wedge ring groups are used, and the first ring of the transition curve segment is the straight line ring; the number of the wedge rings is calculated by the curvature threshold point.

2. A shield segment assembly point and layout method according to claim 1, characterized in that The curve equation of the transition curve segment in the plane rectangular coordinate system is: Where R is the turning radius of the circular curve segment; L is the curve length of the transition curve segment, V is the design speed of the train; φ is the tangent angle corresponding to the slow circle point; x1 is the horizontal coordinate of the slow circle point in the plane rectangular coordinate system.

3. A shield segment assembly point and layout method according to claim 2, characterized in that In step S3.1, on the transition curve segment, the segment advance amount is: Where D is the segment diameter; The amount of the wedge ring used on the transition curve segment is: Wherein, δ' is the horizontal calculated wedge amount of the wedge ring group; N t Take an even number.

4. A shield segment assembly point and layout method according to claim 3, characterized in that In step S3.1, the segment assembly cycle steps of the transition curve section are as follows: Step 1: Determine the curve equation of the transition curve segment in the plane rectangular coordinate system and the horizontal rotation angle after the segment selects the control point position and the vertical offset of the segment δ' H ; Step 2: Assuming that the next segment to be spliced ​​in the transition curve segment is the straight line loop, the starting point and the end point of the center line of the next segment to be spliced ​​are (x i ,y i ) and (x i+1 ,y i+1 ); Step 3: Determine (x i+1 ,y i+1 ) exceeds the slow point coordinates (x1, y1), the condition is: i+1 ≥x1 or y i+1 ≥y1; Step 3.1: If yes, then end; Step 3.2: If not, find (x i ,y i ) and (x i+1 ,y i+1 ) The shortest distance from two points to the transition curve segment, take the larger value D i , and record the accumulated vertical offset H of the segment i ; Judge H i Is it greater than the maximum allowable error D max ; Step 3.2.1: If yes, the wedge ring is selected as the next segment to be spliced ​​in the transition curve section, and steps 2 and 3 are repeated; Step 3.2.2: If no, then determine D i Is it greater than the reduction value η·D of the maximum allowable deviation? max ; In the formula, η is the reduction coefficient, which is 0.4-0.6; Step 3.2.2.1: If yes, return to step 3.2.1; Step 3.2.2.2: If not, the next segment to be spliced ​​in the transition curve segment is the straight line ring, and the process returns to step 2.

5. A shield segment assembly point and layout method according to claim 2, characterized in that In step S3.3, the curvature threshold point is calculated as follows: The horizontal calculated wedge amount δ' of the wedge ring group and the horizontal rotation angle of the wedge ring after selecting the control point are known. and the center width H of the pipe ring, according to the similar principle, the minimum turning radius R applicable to the wedge ring group can be obtained. k , and then calculate the radius of curvature according to the formula: In the formula, k is the curvature, y' and y" are the first and second order derivatives of y with respect to x, respectively, which can derive a non-homogeneous linear equation only about x; According to the monotonicity of the axis of the transition curve segment, the non-homogeneous linear equation must have one real root; the non-homogeneous linear equation requires a high-precision bisection method to obtain an accurate solution, but the curvature threshold point is only a fixed point selected by the wedge ring, so based on the magnitude of the segment width, the bisection method only needs to ensure that the error is 0.01 to be used as an accurate solution.

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