CN114046767B - Shield tunnel joint deformation analysis method based on arbitrary two points of duct piece - Google Patents

Shield tunnel joint deformation analysis method based on arbitrary two points of duct piece Download PDF

Info

Publication number
CN114046767B
CN114046767B CN202111325311.1A CN202111325311A CN114046767B CN 114046767 B CN114046767 B CN 114046767B CN 202111325311 A CN202111325311 A CN 202111325311A CN 114046767 B CN114046767 B CN 114046767B
Authority
CN
China
Prior art keywords
adjacent
segment
piece
coordinates
chord
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Active
Application number
CN202111325311.1A
Other languages
Chinese (zh)
Other versions
CN114046767A (en
Inventor
李攀
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Tongji University
Original Assignee
Tongji University
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Tongji University filed Critical Tongji University
Priority to CN202111325311.1A priority Critical patent/CN114046767B/en
Publication of CN114046767A publication Critical patent/CN114046767A/en
Application granted granted Critical
Publication of CN114046767B publication Critical patent/CN114046767B/en
Active legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Images

Classifications

    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
    • G01B21/00—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant
    • G01B21/32—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant for measuring the deformation in a solid

Landscapes

  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Lining And Supports For Tunnels (AREA)

Abstract

The invention discloses a shield tunnel joint deformation analysis method based on any two points of a duct piece, belonging to the detection field and comprising the following steps: s1, acquiring coordinates of any two points on a reference tube sheet and coordinates of any two points on an adjacent tube sheet, wherein the two points are structurally symmetrical; s2, constructing a reference segment ordinary chord, determining a midpoint coordinate and an azimuth angle of the reference segment ordinary chord vector, constructing an adjacent segment ordinary chord, and determining a midpoint coordinate of the adjacent segment ordinary chord vector; s3, determining an azimuth angle of a symmetrical line of a reference segment structure and an azimuth angle of a reference segment seam; s4, calculating the coordinates of the centers of the reference duct piece and the adjacent duct pieces according to the vertical chord theorem and the intersecting chord theorem of the circle; s5, determining an azimuth angle of a circle center connecting line vector; s6, determining the deformation condition of the adjacent pipe pieces relative to the reference pipe piece according to the relation between the circle center connecting line vector and the reference pipe piece seam prescription azimuth. The invention does not depend on the installation of instruments and equipment on the duct piece structure, has low cost, can realize the full-life detection of the tunnel and has real-time property.

Description

Shield tunnel joint deformation analysis method based on arbitrary two points of duct piece
Technical Field
The invention relates to the technical field of shield tunnel detection, in particular to a shield tunnel joint deformation analysis method based on any two points of pipe pieces.
Background
The shield tunnel joint is a weak link of the shield tunnel, and joint deformation (segment dislocation and joint included angle) is a main component of shield tunnel structure deformation and is also an important factor influencing the waterproof performance of the shield tunnel. Therefore, the disease index of the shield tunnel joint has important significance for health assessment of the shield tunnel structure and maintenance of the tunnel structure.
In the prior art, a patent (cn201610813888. X) discloses a device and a method for measuring the deformation of a shield tunnel segment joint. The method needs to install components such as an anchoring joint, a fixed rod, a transmission rod, a follow-up rotating laser transmitter, an optical screen and the like on the tunnel street. The basic principle is that the deformation of a segment joint is amplified through reasonable design and arrangement of rod pieces and a laser transmitter, and the opening and slab staggering amount of the joint is calculated through the relation of corresponding geometric figures formed before and after the change of a laser light path;
the patent (CN 201921055310.8) discloses a corner monitoring device for a pipe-jacking power tunnel. The method comprises the following steps that an integrally arranged steel plate in a bearing pipe, an integrally arranged steel plate in an inserting pipe and a steel plate in the bearing pipe are required to be pre-installed on a tunnel structure and fixedly connected with a first displacement amplifier, a second displacement amplifier and a displacement sensor, and the measurement of longitudinal opening and relative rotation angle is obtained through intelligent detection;
the patent (CN201811048664. X) discloses a device and a method for monitoring the opening amount of a joint of a immersed tube tunnel. Holes are reserved on a tunnel structure, four stainless steel rods and three wireless displacement sensors are installed, and the opening amount of a pipe joint connector is calculated through displacement monitoring data;
patent (CN 201710944545.1) discloses a tunnel deformation measuring device. An angle sensor is required to be installed in a tunnel joint area, the detected angle is converted into an electric signal, and the electric signal is processed to obtain the deformation quantity of the tunnel pipe ring;
the patent (CN 110044268A) proposes a shield tunnel joint opening and slab staggering monitoring system based on the optical fiber reflection principle. The method comprises the steps of pre-embedding a displacement sensor monitoring device on the side face of a joint seam, fixing the displacement sensor monitoring device on a sliding rail on the inner wall of a tunnel segment along the axial direction, a mobile data receiver and an upper computer, inputting optical fibers and outputting optical fibers, and enabling the inputting optical fibers, the outputting optical fibers and a plurality of groups of reflecting strips with different mirror reflectivities to be adopted. Collecting and converting optical signals into electric signals, and processing the electric signals to convert the electric signals into joint opening indexes and slab staggering indexes;
patent (CN 2938027) discloses a device for measuring the opening angle of a segment joint and the curvature change of a member in a high-temperature (normal-temperature) test. Two measuring rods and two displacement meters are required to be arranged on the surface of the component by presetting fixed feet. Calculating the field angle or member curvature change of the segment joint by using the displacement changes of the two displacement meters;
patents (CN 208458988U, CN109029308A, CN 109000899A) propose a shield tunnel segment gap opening amount measuring device. Water bags are required to be arranged on the inner side, the outer side and between the segments of the tunnel, and the opening amount of the segments of the shield tunnel is calculated by utilizing water pressure;
a patent (CN 109372545A) discloses a method for evaluating the opening degree of a bottom joint of a circular shield through-seam tunnel segment, and the research object of the method is the index of the opening degree of the joint. The method needs to directly detect the duct piece seam, perform line fitting on an obtained point cloud set, and then calculate the seam opening angle of two adjacent arc sections according to an optimal straight line;
patents (CN 201811315162.9, CN 201821819817.1) disclose shield segment seam deformation measuring devices. A horizontal clamping groove, a track sliding groove and the like are required to be manufactured in advance, a horizontal measuring scale, a protractor, a puller bolt and other devices are arranged in advance, and seam deformation indexes are directly measured;
the patent (CN 201921317411.8) discloses a shield segment seam deformation measuring device. The tunnel structure is required to be provided with a horizontal base, two level rulers, a required screw, a level ruler, a support rod, a protractor, a fixing bolt, a push plate and the like. The seam angle is obtained by direct measurement.
However, in practical applications, the technical solutions of the above patent documents have common technical disadvantages:
(1) The need to install instruments or equipment on the tunnel structure brings with it the following drawbacks: (1) installing instruments or equipment to secondarily damage the tunnel structure; (2) under the influence of equipment and environment in the tunnel, certain joint angle areas do not necessarily have spaces for installing instruments and related auxiliary equipment; (3) the tunnel joint with the number of tens of millions cannot be used for installing a large number of instruments and equipment, and the problem of high cost also exists.
(2) The engineering applicability and the timeliness are poor, and the concrete expression is as follows: (1) due to the problems of severe environment and durability of the instrument in the tunnel, the performance of the installed instrument or sensor can be reduced or damaged within a certain time, so that the method can be only applied within a certain short period of the whole life cycle of the tunnel; (2) all the methods need to embed instruments and equipment in advance, and can only be used in the early stage of tunnel construction. In the operating period of the tunnel in service, the later-stage instrument and equipment installation is not easy to carry out.
(3) Only local indexes can be obtained, only joint damage indexes facing the tunnel space can be obtained, and tunnel damage indexes facing the soil are difficult to obtain.
Disclosure of Invention
The invention aims to provide a shield tunnel joint deformation analysis method based on any two points of segments, aiming at the problems that instrument equipment needs to be installed on a tunnel structure for shield tunnel joint deformation monitoring in the prior art, the engineering applicability and the timeliness are poor, and the soil-faced disease index cannot be obtained.
In order to realize the purpose, the technical scheme of the invention is as follows:
a shield tunnel joint deformation analysis method based on any two points of pipe pieces is used for analyzing the deformation condition of adjacent pipe pieces which are adjacently arranged in a shield tunnel relative to a reference pipe piece, and comprises the following steps:
s1, obtaining coordinates of any two points which are structurally symmetrical on the inner surface of a reference segment; acquiring coordinates of any two points on the inner surfaces of the adjacent segments;
s2, constructing a reference segment ordinary chord according to coordinates of any two points on the reference segment, and determining a midpoint coordinate and an azimuth angle of a reference segment ordinary chord vector; constructing a common chord of the adjacent duct pieces according to the coordinates of any two points on the adjacent duct pieces, and determining the midpoint coordinate of the common chord vector of the adjacent duct pieces;
s3, determining an azimuth angle of a reference segment structure symmetry line according to the azimuth angle of the reference segment ordinary chord vector, and further determining an azimuth angle of a reference segment seam;
s4, calculating according to the midpoint coordinates of the reference segment ordinary chord, the reference segment ordinary chord vector, the vertical chord theorem and the intersecting chord theorem of the circle to obtain the center coordinates of the reference segment; similarly, calculating to obtain the coordinates of the centers of the adjacent segments according to the common chord of the adjacent segments, the coordinates of the middle points of the common chord vectors of the adjacent segments, the vertical chord theorem and the intersecting chord theorem of the circle;
s5, determining an azimuth angle of a connecting line vector between the circle center coordinate of the reference segment and the circle center coordinate of the adjacent segment;
s6, determining the deformation conditions of the adjacent pipe pieces relative to the reference pipe piece according to the relation between the azimuth angle of the connecting line vector and the azimuth angle of the seam of the reference pipe piece, wherein the deformation conditions comprise a pure inner staggered platform, a pure outer staggered platform, an outer opening and an inner opening;
and when the line vector between the circle center coordinate of the reference duct piece and the circle center coordinate of the adjacent duct piece is 0, the deformation condition is no deformation.
Further, when the deformation condition is internal expansion or external expansion, the method further comprises the following steps:
s7, calculating to obtain inner diameter point coordinates and/or outer diameter point coordinates of the reference segment joints according to the circle center coordinates of the reference segment, the azimuth of the reference segment joints and the reference segment inner diameter and/or the reference segment outer diameter;
s8, calculating the distance from the circle center of the adjacent pipe piece to an inner diameter point on the seam of the reference pipe piece, and determining the staggered relation of the adjacent pipe piece relative to the reference pipe piece according to the size relation between the distance and the inner diameter of the adjacent pipe piece;
or calculating the distance from the circle center of the adjacent duct piece to the outer diameter point on the seam of the reference duct piece, and determining the slab staggering relation of the adjacent duct piece relative to the reference duct piece according to the size relation between the distance and the outer diameter of the adjacent duct piece;
the slab staggering relationship comprises an inner slab staggering, an outer slab staggering and no slab staggering.
Further, the method comprises the following steps:
and S9, calculating a joint included angle and a slab staggering amount of the adjacent pipe pieces relative to the reference pipe piece according to the deformation condition.
By adopting the technical scheme, the method utilizes the characteristic that the joints of the adjacent segments are deformed but the shapes of the two segments are not changed, two coordinate points are respectively obtained on the two adjacent segments under the same coordinate system, the coordinates of key points on the two adjacent segments are further calculated by the aid of the vertical chord theorem and the intersecting chord theorem of a circle, and the distance and direction relation between the coordinates of the key points are compared to further determine whether the joints of the two adjacent segments are deformed.
Drawings
FIG. 1 is a schematic structural diagram of a deformation of a tube sheet according to an embodiment of the present invention;
FIG. 2 is a flowchart of a method according to a first embodiment of the present invention;
FIG. 3 is a schematic view of the present invention when the segment deformation is a pure inner dislocation;
FIG. 4 is a schematic view of the present invention when the segment deformation is pure outer dislocation;
FIG. 5 is a schematic view of a deformed segment of the present invention shown without deformation;
FIG. 6 is a flowchart of a method according to a second embodiment of the present invention;
FIG. 7 is a schematic view of the present invention with the deformed segment being in an inner-expanding stage;
FIG. 8 is a schematic view of the present invention showing a segment deformed in an outwardly-expanded position without dislocation;
FIG. 9 is a schematic view of the present invention with the segment deformed as an inwardly-expanding and outwardly-staggered stage;
FIG. 10 is a schematic view of the present invention with the segment deformed to be an inwardly expanded and inwardly staggered platform;
FIG. 11 is a schematic view of the present invention with the tube sheet deformed to open the outer staggered platform;
FIG. 12 is a schematic view of the present invention with the tube sheet deformed to be outwardly expanded and inwardly staggered;
FIG. 13 is a flowchart of a method according to a third embodiment of the present invention;
fig. 14 is a schematic structural diagram of a fourth embodiment of the present invention.
Detailed Description
The following further describes embodiments of the present invention with reference to the drawings. It should be noted that the description of the embodiments is provided to help understanding of the present invention, but the present invention is not limited thereto. In addition, the technical features involved in the embodiments of the present invention described below may be combined with each other as long as they do not conflict with each other.
It should be noted that in the description of the present invention, the terms "upper", "lower", "left", "right", "front", "rear", and the like indicate orientations or positional relationships based on structures shown in the drawings, and are only used for convenience in describing the present invention, but do not indicate or imply that the referred device or element must have a specific orientation, be constructed in a specific orientation, and be operated, and thus, should not be construed as limiting the present invention.
In the technical scheme, the terms "first" and "second" are only used for referring to the same or similar structures or corresponding structures with similar functions, and are not used for ranking the importance of the structures, or comparing the sizes or other meanings.
In addition, unless expressly stated or limited otherwise, the terms "mounted" and "connected" are to be construed broadly, e.g., the connection may be a fixed connection, a removable connection, or an integral connection; can be mechanically or electrically connected; the two structures can be directly connected or indirectly connected through an intermediate medium, and the two structures can be communicated with each other. To those skilled in the art, the specific meanings of the above terms in the present invention can be understood in light of the present general concepts, in connection with the specific context of the scheme.
Example one
A shield tunnel joint deformation analysis method based on any two points of pipe pieces is used for analyzing the deformation condition of adjacent pipe pieces which are adjacently arranged in a shield tunnel relative to a reference pipe piece shown in figure 1. As shown in fig. 2, the method includes the following steps:
s1, obtaining coordinates of any two points which are structurally symmetrical on the inner surface of a reference duct piece; acquiring coordinates of any two points on the inner surfaces of the adjacent segments;
s2, constructing a reference segment ordinary chord according to coordinates of any two points on the reference segment, and determining a midpoint coordinate and an azimuth angle of a reference segment ordinary chord vector; constructing a common chord of the adjacent duct pieces according to the coordinates of any two points on the adjacent duct pieces, and determining the midpoint coordinate of the common chord vector of the adjacent duct pieces;
s3, determining an azimuth angle of a reference segment structure symmetry line according to the azimuth angle of the reference segment ordinary chord vector, and further determining an azimuth angle of a reference segment seam;
s4, calculating according to the midpoint coordinates of the reference segment ordinary chord, the reference segment ordinary chord vector, the vertical chord theorem and the intersecting chord theorem of the circle to obtain the center coordinates of the reference segment; similarly, calculating according to the common chord of the adjacent duct pieces, the midpoint coordinates of the common chord vectors of the adjacent duct pieces, the vertical chord theorem and the intersecting chord theorem of the circle to obtain the center coordinates of the adjacent duct pieces;
s5, determining an azimuth angle of a connecting line vector between the circle center coordinate of the reference segment and the circle center coordinate of the adjacent segment;
s6, determining the deformation conditions of the adjacent pipe pieces relative to the reference pipe piece according to the relation between the azimuth angle of the connecting line vector and the azimuth angle of the reference pipe piece joint, wherein the deformation conditions comprise a pure inner staggered platform, a pure outer staggered platform, an outer opening and an inner opening;
and when the line vector between the circle center coordinate of the reference duct piece and the circle center coordinate of the adjacent duct piece is 0, the deformation condition is no deformation.
In S1, firstly, the spatial position of the reference segment is determined, and the reference segment determined based on the spatial position is found out, so that two points which are structurally symmetrical can be obtained on the reference segment at will. Two reasons why the present embodiment adopts the structure symmetry are that: if two symmetrical points are not used, although the center of a circle of a reference tube piece in the subsequent step can be obtained through analysis, the spatial position of the reference tube piece cannot be determined, so that the spatial position of the joint cannot be determined, and in this case, the reference tube piece can rotate to any spatial position around the center of the circle.
Wherein, the step of obtaining the coordinates of any two points which are symmetrical in structure on the inner surface of the reference segment comprises the following steps:
s11, from the origin O of the coordinate system 0 Respectively making reference to any two points M which are symmetrical in structure on the inner surface of the duct piece a 、M b Vector of (2)
Figure BDA0003346741880000051
S12, obtaining a connecting line vector through measurement
Figure BDA0003346741880000052
Length of (2)
Figure BDA0003346741880000053
And azimuth angle
Figure BDA0003346741880000054
For example by being at the origin O 0 Arranging a laser range finder at the position of the laser range finder, aligning the laser range finder to the point M a And point M b Then the length can be read quickly
Figure BDA0003346741880000055
And laser rangefinder emitsThe angular direction is the above-mentioned connecting line vector
Figure BDA0003346741880000056
Or based on the image collected by the image collecting equipment, the point M is obtained by analyzing the coordinates of the pixel points in the image a And point M b The coordinates of the first and second coordinates are not described in detail in this embodiment.
S13, point M a Point M b The coordinates of (a) are:
Figure BDA0003346741880000057
and
Figure BDA0003346741880000058
for the same reason, from the coordinate system origin O 0 Respectively making any two points M on the inner surfaces of adjacent pipe pieces 1,i+1 、M 2,i+1 Vector of (2)
Figure BDA0003346741880000059
Obtaining a join line vector by measurement
Figure BDA00033467418800000510
Length of (2)
Figure BDA00033467418800000511
And azimuth angle
Figure BDA00033467418800000512
Then point M 1,i+1 Point M 2,i+1 The coordinates of (a) are:
Figure BDA00033467418800000513
and
Figure BDA00033467418800000514
in S2, a point M on the reference duct piece is obtained a Point M b And point M on adjacent segments 1,i+1 Point M 2,i+1 On the basis of coordinates, the ordinary chord vector of the duct piece is referred to
Figure BDA00033467418800000515
(parallel to the longest chord of the reference segment) midpoint coordinate
Figure BDA00033467418800000516
Comprises the following steps:
Figure BDA0003346741880000061
normal chord vector of adjacent duct pieces
Figure BDA0003346741880000062
Midpoint coordinate Z of i+1 (x i+1 ,y i+1 ) Comprises the following steps:
Figure BDA0003346741880000063
reference to the normal chord vector of the duct piece
Figure BDA0003346741880000064
Azimuth angle of
Figure BDA0003346741880000065
Comprises the following steps:
when in use
Figure BDA0003346741880000066
And is
Figure BDA0003346741880000067
Reference to the normal chord vector of the duct piece
Figure BDA0003346741880000068
In the first quadrant, with an azimuth angle of:
Figure BDA0003346741880000069
when in use
Figure BDA00033467418800000610
And is
Figure BDA00033467418800000623
In time, refer to the normal chord vector of the duct piece
Figure BDA00033467418800000611
In the second quadrant, with azimuth angle:
Figure BDA00033467418800000612
when in use
Figure BDA00033467418800000613
And is
Figure BDA00033467418800000614
In time, refer to the normal chord vector of the duct piece
Figure BDA00033467418800000615
In the third quadrant, at an azimuth angle of:
Figure BDA00033467418800000616
when in use
Figure BDA00033467418800000617
And is
Figure BDA00033467418800000618
Reference to the normal chord vector of the duct piece
Figure BDA00033467418800000619
Is located at the firstFour quadrants with azimuthal angles:
Figure BDA00033467418800000620
in S3, calculating to obtain the ordinary chord vector of the reference duct piece
Figure BDA00033467418800000621
Azimuth angle of
Figure BDA00033467418800000622
On the basis of (1):
refer to section of jurisdiction structure symmetry line
Figure BDA0003346741880000071
The azimuth angle of (c) is:
Figure BDA0003346741880000072
the reason for (equation 11) is to refer to the segment structure symmetry line
Figure BDA0003346741880000073
Normal chord vector perpendicular to reference duct piece
Figure BDA0003346741880000074
According to the direction of the adjacent pipe pieces relative to the reference pipe piece, the structural symmetry line of the reference pipe piece can be based on
Figure BDA0003346741880000075
To determine an azimuth angle in the clockwise direction with reference to the segment seam
Figure BDA0003346741880000076
Or in a counterclockwise direction with reference to the orientation angle at the segment seam
Figure BDA0003346741880000077
Figure BDA0003346741880000078
Figure BDA0003346741880000079
Wherein, delta i For reference to the central angle, K, corresponding to the segment 1,i 、K 2,i Respectively showing an inner diameter end point and an outer diameter end point of a seam in the clockwise direction of the reference object pipe piece, K 3,i 、K 4,i The inner diameter end point and the outer diameter end point of the seam in the counterclockwise direction of the reference object pipe sheet are respectively shown.
It can be understood that, in practical application, on the basis of having confirmed reference section of jurisdiction and adjacent section of jurisdiction, adjacent section of jurisdiction is also definite for the direction of referring to the section of jurisdiction place, for example, in this embodiment, adjacent section of jurisdiction is located the counter-clockwise side of referring to the section of jurisdiction, consequently only need calculate the azimuth angle of referring to section of jurisdiction seam crossing in the counter-clockwise
Figure BDA00033467418800000710
And (4) finishing.
In S4, calculating and obtaining the center coordinates of the reference duct piece according to the reference duct piece ordinary chord, the midpoint coordinates of the reference duct piece ordinary chord vector, the vertical chord theorem and the intersecting chord theorem of the circle, wherein the step is as follows:
s41, obtaining the product according to the theorem of the vertical diameter of the circle and the theorem of the intersecting chord
Figure BDA00033467418800000711
Wherein, O i In order to refer to the circle center of the pipe piece,
Figure BDA00033467418800000712
are respectively point M a And point Z i Distance between, point M b And point Z i Distance between, point O i And point Z i R is a reference tubeThe inner diameter of the sheet is known.
S42, according to the point M a Point M b And point Z i By obtaining the relationship of
Figure BDA00033467418800000713
Namely:
Figure BDA00033467418800000714
s43, under the condition that the reference pipe piece inner diameter r is known, the reference pipe piece inner diameter r is obtained by simultaneous calculation through (formula 1), (formula 2), (formula 14) and (formula 15)
Figure BDA00033467418800000715
The distance of (a) to (b),
Figure BDA00033467418800000716
then the point Z is i The coordinates of the center of the reference segment can be obtained by substituting the coordinates of (formula 5) into (formula 16)
Figure BDA00033467418800000717
In the same way, the middle points M of the adjacent tube sheets 1,i+1 Point M 2,i+1 Point Z i+1 (x i+1 ,y i+1 ) Substituting S41-S43, and calculating to obtain circle center coordinates of adjacent segments
Figure BDA00033467418800000830
In S5, the calculation process of determining the azimuth of the line vector between the circle center coordinate of the reference segment and the circle center coordinate of the adjacent segment is:
connection reference duct piece circle center O i And the circle center O of the adjacent pipe sheet i+1 Establishing a circle center connecting line vector
Figure BDA0003346741880000081
By reference to the coordinates of the circle center of the duct piece
Figure BDA0003346741880000082
And the circle center coordinates of adjacent pipe segments
Figure BDA0003346741880000083
The circle center connecting line vector can be determined
Figure BDA0003346741880000084
Azimuth angle of
Figure BDA0003346741880000085
Specifically, when
Figure BDA0003346741880000086
And is
Figure BDA0003346741880000087
When the temperature of the water is higher than the set temperature,
Figure BDA0003346741880000088
when in use
Figure BDA0003346741880000089
And is
Figure BDA00033467418800000810
When the temperature of the water is higher than the set temperature,
Figure BDA00033467418800000811
when in use
Figure BDA00033467418800000812
And is provided with
Figure BDA00033467418800000813
When the temperature of the water is higher than the set temperature,
Figure BDA00033467418800000814
when in use
Figure BDA00033467418800000815
And is
Figure BDA00033467418800000816
When in use
Figure BDA00033467418800000817
And is
Figure BDA00033467418800000818
When in use
Figure BDA00033467418800000819
And is
Figure BDA00033467418800000820
When in use
Figure BDA00033467418800000821
And is
Figure BDA00033467418800000822
And in S6, determining the deformation condition of the adjacent pipe pieces relative to the reference pipe piece according to the relation between the azimuth angle of the connecting line vector between the circle center coordinate of the reference pipe piece and the circle center coordinate of the adjacent pipe piece and the azimuth angle of the joint of the reference pipe piece:
connecting line vectors through circle centers according to the directions of the adjacent pipe sheets relative to the reference pipe sheet
Figure BDA00033467418800000823
Azimuth angle of
Figure BDA00033467418800000824
Reference to azimuth at segment seam
Figure BDA00033467418800000825
Or
Figure BDA00033467418800000826
Determining included angle beta between circle center connecting line vector and reference segment seam i+1,i According to beta i+1,i The deformation conditions of the adjacent pipe sheets relative to the reference pipe sheet can be determined according to the numerical values of the reference pipe sheet, and the deformation conditions comprise pure inner staggered platforms (shown in figure 3), pure outer staggered platforms (shown in figure 4), inner opening and outer opening. As shown in fig. 5, when the connection line vector between the center coordinates of the reference segment and the center coordinates of the adjacent segment is 0, the deformation is no deformation. The inward opening and outward opening correspond to 3 cases, respectively, and are described in detail in example two.
Wherein, the first and the second end of the pipe are connected with each other,
Figure BDA00033467418800000827
or
Figure BDA00033467418800000828
In this embodiment, since the adjacent segment is located on the counterclockwise side of the reference segment, it is possible to prevent the segment from being damaged by the heat generated from the heat source
Figure BDA00033467418800000829
Specifically, when beta i+1,i When the angle is not less than 0 degrees, the deformation condition is pure inner dislocation, which means that the joint included angle of the adjacent pipe sheet relative to the reference pipe sheet is not opened, and the adjacent pipe sheet is translated to the inner space of the tunnel along the joint relative to the reference pipe sheet;
when beta is i+1,i When the deformation condition is 180 degrees, the deformation condition is pure outward dislocation, and the condition indicates that the joint included angle of the adjacent pipe sheet relative to the reference pipe sheet is not opened and the adjacent pipe sheet is translated towards the soil-facing space along the joint relative to the reference pipe sheet;
when 0 DEG < beta i+1,i When the angle is less than 180 degrees, the deformation condition is inward opening, which means that the joint included angle of the adjacent pipe sheets relative to the reference pipe sheet opens towards the inner space of the tunnel;
when-180 DEG < beta i+1,i When the angle is less than 0 degree, the deformation condition is outward opening, and the joint included angle of the adjacent pipe pieces relative to the reference pipe piece faces the soil-facing space to open.
Example two
The difference from the first embodiment is that: in this embodiment, when the deformation condition is inward expansion or outward expansion, as shown in fig. 6, the method further comprises the steps of:
s7, calculating to obtain inner diameter point coordinates and/or outer diameter point coordinates of the reference segment joints according to the circle center coordinates of the reference segment, the azimuth of the reference segment joints and the reference segment inner diameter and/or the reference segment outer diameter;
s8, calculating the distance from the circle center of the adjacent pipe piece to an inner diameter point on the seam of the reference pipe piece, and determining the staggered relation of the adjacent pipe piece relative to the reference pipe piece according to the size relation between the distance and the inner diameter of the adjacent pipe piece;
or calculating the distance from the circle center of the adjacent pipe piece to the outer diameter point on the seam of the reference pipe piece, and determining the staggered relation of the adjacent pipe piece relative to the reference pipe piece according to the size relation between the distance and the outer diameter of the adjacent pipe piece;
wherein, the slab staggering relation comprises no slab staggering, outer slab staggering and inner slab staggering, and the deformation condition corresponds to: the inner-opening dislocation-free platform, the outer-opening dislocation-free platform, the inner-opening outer dislocation platform, the inner-opening dislocation platform, the outer-opening outer dislocation platform and the outer-opening inner dislocation platform are respectively shown in figures 7 to 12.
In S7, K 1,i 、K 2,i Respectively represents an inner diameter endpoint and an outer diameter endpoint of a seam on the reference object pipe piece in the clockwise direction, K 3,i 、K 4,i Respectively showing an inner diameter endpoint and an outer diameter endpoint of a seam in the counterclockwise direction of the reference object pipe piece; and in a clockwise direction with reference to the orientation angle at the segment seam
Figure BDA0003346741880000091
Azimuth angle of duct piece joint in anticlockwise direction
Figure BDA0003346741880000092
Reference segment circle center O i Under the condition that the coordinate, the inner diameter R and the outer diameter R of the reference pipe piece are all known, K can be obtained by calculating through the following formula 1,i 、K 2,i 、K 3,i 、K 4,i The coordinates of (a):
Figure BDA0003346741880000093
Figure BDA0003346741880000094
Figure BDA0003346741880000101
Figure BDA0003346741880000102
because the adjacent pipe sheet is positioned on one side of the reference pipe sheet in the anticlockwise direction in the embodiment, only K is calculated in practical application 3,i 、K 4,i The coordinates of (2) are just required.
On the basis that adjacent segment is located on the counterclockwise direction side of the reference segment, in S8:
with K 3,i On the basis, the distance from the circle center of the adjacent segment to the inner diameter point of the reference segment seam is calculated, and the step of determining the staggered relation of the adjacent segment relative to the reference segment is specifically as follows according to the size relation between the distance and the inner diameter of the adjacent segment:
circle center O of adjacent pipe piece i+1 To point K 3,i Is a distance of
Figure BDA0003346741880000103
And when
Figure BDA0003346741880000104
When the said wrong station relation is no wrong station, when
Figure BDA0003346741880000105
When the said channel-staggering relationship is the channel-staggering relationship when
Figure BDA0003346741880000106
While theThe staggering station relation is an inner staggering station;
or with K 4,i On the basis, calculating the distance from the circle center of the adjacent pipe piece to the outer diameter point of the joint of the reference pipe piece, and determining the staggered relation of the adjacent pipe piece relative to the reference pipe piece according to the size relation between the distance and the outer diameter of the adjacent pipe piece:
circle center O of adjacent pipe piece i+1 To point K 4,i Is a distance of
Figure BDA0003346741880000107
And when
Figure BDA0003346741880000108
When the said dislocation relation is no dislocation, when
Figure BDA0003346741880000109
When the said wrong station relation is wrong station, when
Figure BDA00033467418800001010
The staggering station relation is an inner staggering station.
EXAMPLE III
The difference between the first embodiment and the second embodiment is that: as shown in fig. 13, the method of this embodiment further includes the following steps:
s9, calculating the joint included angle and the slab staggering amount of the adjacent duct pieces relative to the reference duct piece according to the deformation condition.
In S6, when the deformation condition is pure inner dislocation or pure outer dislocation, the adjacent segments and the reference segment are in free dislocation relation, and only the dislocation amount rho needs to be calculated in S9 i+1,i That is, the slab staggering amount is the distance between the circle centers of the adjacent segments and the reference segment, namely
Figure BDA00033467418800001011
Obtained by the following formula:
Figure BDA00033467418800001012
when the deformation condition comprises an included angle, the deformation condition is subdivided into an inner-opening dislocation-free platform, an outer-opening dislocation-free platform and an outer-opening dislocation-free platform.
1. Under the condition of inner opening without wrong platforms: referring to the circle center of the duct piece, the circle centers of the adjacent duct pieces and the outer diameter point J of the joint, the outer diameter point J is a triangle, as shown in FIG. 7. The length of two sides of the triangle is the outer diameter R, the length of the third side is the distance between the circle center of the adjacent duct piece and the circle center of the reference duct piece
Figure BDA0003346741880000111
Therefore, the joint angle theta can be calculated and obtained by the cosine theorem of the triangle i+1,1 The size of (2).
Figure BDA0003346741880000112
The seam included angle when the inner expanding platform is not staggered is obtained by solving the above formula:
Figure BDA0003346741880000113
2. in the case of splaying without dislocation: referring to the circle center of the duct piece, the circle centers of the adjacent duct pieces and the inner diameter end point J of the joint, the center of the duct piece is a triangle, as shown in fig. 8. The length of two sides of the triangle is the inner diameter r, the length of the third side is the distance between the circle center of the adjacent duct piece and the circle center of the reference duct piece
Figure BDA0003346741880000114
Therefore, the joint angle theta can be calculated and obtained by the cosine theorem of the triangle i+1,1 The size of (2).
Figure BDA0003346741880000115
Solving the above formula to obtain the size of the contact included angle when the platform is opened outwards without errors:
Figure BDA0003346741880000116
3. in the case of an internal expanding staggered platform: the rotation intersection point J of the adjacent pipe sheets relative to the reference pipe sheet is the outer diameter endpoint K of the joint of the reference pipe sheets 4,i The joint distortion is resolved into translation of adjacent segments along the reference segment seam and rotation about intersection point J, as shown in fig. 9. In the triangle of constituteing with reference to section of jurisdiction centre of a circle, adjacent section of jurisdiction centre of a circle and nodical J, refer to the section of jurisdiction centre of a circle and nodical J's distance for external diameter R, adjacent section of jurisdiction centre of a circle subtracts wrong platform volume for external diameter R with nodical J's distance, has the following formula promptly to establish:
Figure BDA0003346741880000117
Figure BDA0003346741880000118
Figure BDA0003346741880000119
in addition, the included angle between the straight line passing through the circle center of the reference duct piece and the intersection point J and the straight line passing through the circle center of the adjacent duct piece and the intersection point J is the numerical value of the open angle of the adjacent duct piece relative to the reference duct piece, namely the seam included angle.
(1) The size of a seam included angle:
in the above triangle, a sine theorem relationship is established:
Figure BDA00033467418800001110
substituting (equation 23) - (equation 25) results in the following equation:
Figure BDA0003346741880000121
solving (equation 27) the relationship between the first and third portions, the seam angle equation:
Figure BDA0003346741880000122
(2) Duct piece staggering size:
and (3) establishing a cosine theorem expressed by a circle center connecting line and a seam included angle in the triangle:
Figure BDA0003346741880000123
substituting (equation 23) - (equation 25) results in the following equation:
Figure BDA0003346741880000124
solving (formula 30), and obtaining the wrong stage quantity formula:
Figure BDA0003346741880000125
4. under the condition of inward opening and inward dislocation: the intersection point J of the rotation of adjacent segments relative to the reference segment is the outer diameter end point at the juncture of the adjacent segments. As shown in fig. 10, the joint deformation of adjacent segments relative to a reference segment is resolved into translation of the adjacent segments along the joint and rotation about intersection point J. In the triangle of constituteing with reference section of jurisdiction centre of a circle, adjacent section of jurisdiction centre of a circle and nodical J, the distance of referring to section of jurisdiction centre of a circle and nodical subtracts the wrong platform volume for external diameter R, and the distance of adjacent section of jurisdiction centre of a circle and nodical J is external diameter R, has the following formula promptly to establish:
Figure BDA0003346741880000126
Figure BDA0003346741880000127
Figure BDA0003346741880000128
in addition, the included angle between the straight line passing through the circle center of the reference duct piece and the intersection point J and the straight line passing through the circle center of the adjacent duct piece and the intersection point J is the numerical value of the open angle of the adjacent duct piece relative to the reference duct piece, namely the seam included angle.
(1) Seam included angle:
the sine theorem relation of the triangle is also established:
substituting (equation 32) - (equation 34) results in the following equation:
Figure BDA0003346741880000129
solving (equation 35) the relationship between the first part and the second part to obtain the joint angle equation:
Figure BDA00033467418800001210
(2) Staggering the stations:
similarly, a cosine theorem expressed by a circle center connecting line and a seam included angle is established in the triangle, and is substituted into (formula 32) - (formula 35), so that the following formula is obtained:
Figure BDA0003346741880000131
solving (formula 37), and obtaining the wrong stage quantity formula:
Figure BDA0003346741880000132
5. in the case of outward-opening dislocation: the intersection point J of the rotation of adjacent segments relative to the reference segment is the inner diameter end point at the juncture of the adjacent segments. As shown in fig. 11, the joint deformation of adjacent segments relative to a reference segment is resolved into translation of the adjacent segments along the joint and rotation about intersection J. In the triangle of constituteing according to section of jurisdiction centre of a circle, adjacent section of jurisdiction centre of a circle and nodical J, the distance of referring to section of jurisdiction centre of a circle and nodical J adds the slab staggering volume for its internal diameter r, and the distance of adjacent section of jurisdiction centre of a circle and nodical J is internal diameter r. That is, the following equation holds:
Figure BDA0003346741880000133
Figure BDA0003346741880000134
Figure BDA0003346741880000135
in addition, the included angle between the straight line passing through the circle center of the reference duct piece and the intersection point J and the straight line passing through the circle center of the adjacent duct piece and the intersection point J is the numerical value of the open angle of the adjacent duct piece relative to the reference duct piece, namely the seam included angle.
(1) The size of a seam included angle:
in the above triangle, the sine theorem relationship is also established and substituted into (equation 39) - (equation 41), so that the following equation is obtained:
Figure BDA0003346741880000136
solving (equation 42) the relationship between the first and second parts to obtain the seam angle equation:
Figure BDA0003346741880000137
(2) Staggering the stations:
similarly, the cosine theorem expressed by the connecting line between the circle centers of the adjacent segments and the reference segment and the included angle between the seam is established in the triangle, and is substituted into (formula 39) - (formula 41), so that the following formula can be obtained:
Figure BDA0003346741880000138
solving (equation 44), we get the formula of the amount of dislocation:
Figure BDA0003346741880000139
6. in the case of outward opening and inward dislocation: the intersection point of rotation J of adjacent segments relative to the reference segment is the inner diameter end point at the reference segment seam. As shown in fig. 12, the joint deformation of adjacent segments relative to a reference segment is resolved into translation of the adjacent segments along the joint and rotation about intersection J. In the triangle formed by the circle center of the reference duct piece, the circle center of the adjacent duct piece and the intersection point J, the distance between the circle center of the reference duct piece and the intersection point J is the inner diameter r, and the distance between the circle center of the adjacent duct piece and the intersection point J is the inner diameter r plus the slab staggering amount. That is, the following equation holds:
Figure BDA0003346741880000141
Figure BDA0003346741880000142
Figure BDA0003346741880000143
in addition, an included angle between a straight line passing through the circle center of the duct piece and the intersection point J and a straight line passing through the circle center of the adjacent duct piece and the intersection point J is an open angle value of the adjacent duct piece relative to the reference duct piece, namely a joint included angle.
(1) Seam included angle:
in the above triangle, the same sine theorem relationship is also found and substituted into the equations (equation 46) - (equation 48):
Figure BDA0003346741880000144
solving (equation 49) the relationship between the first and third portions to obtain an equation for the seam angle:
Figure BDA0003346741880000145
(2) Staggering station amount:
similarly, the cosine theorem expressed by the connecting line of the circle centers and the included angle of the seam is established in the triangle, and is substituted into (formula 46) - (formula 48), so that the following formula is obtained:
Figure BDA0003346741880000146
solving (equation 51), we get the wrong amount equation:
Figure BDA0003346741880000147
example four
An electronic device, as shown in fig. 14, includes a memory storing executable program code and a processor coupled to the memory; the processor calls the executable program code stored in the memory to execute the method steps disclosed in the first embodiment, the second embodiment or the third embodiment.
EXAMPLE five
A computer storage medium, in which a computer program is stored, which, when executed by a processor, performs the method steps disclosed in embodiment one, embodiment two, or embodiment three.
The present application is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the application. It will be understood that each flow and/or block of the flow diagrams and/or block diagrams, and combinations of flows and/or blocks in the flow diagrams and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
The embodiments of the present invention have been described in detail with reference to the accompanying drawings, but the present invention is not limited to the described embodiments. It will be apparent to those skilled in the art that various changes, modifications, substitutions and alterations can be made in the embodiments without departing from the principles and spirit of the invention, and these embodiments are still within the scope of the invention.

Claims (9)

1. A shield tunnel joint deformation analysis method based on any two points of pipe pieces is used for analyzing the deformation condition of adjacent pipe pieces which are adjacently arranged in a shield tunnel relative to a reference pipe piece, and is characterized in that: the method comprises the following steps:
s1, obtaining coordinates of any two points which are structurally symmetrical on the inner surface of a reference duct piece; acquiring coordinates of any two points on the inner surfaces of the adjacent segments;
s2, constructing a reference segment ordinary chord according to coordinates of any two points on the reference segment, and determining a midpoint coordinate and an azimuth angle of a reference segment ordinary chord vector; constructing a common chord of the adjacent duct pieces according to the coordinates of any two points on the adjacent duct pieces, and determining the midpoint coordinate of the common chord vector of the adjacent duct pieces;
s3, determining an azimuth angle of a reference segment structure symmetry line according to the azimuth angle of the reference segment ordinary chord vector, and further determining an azimuth angle of a reference segment seam;
s4, calculating according to the midpoint coordinates of the reference segment ordinary chord, the reference segment ordinary chord vector, the vertical chord theorem and the intersecting chord theorem of the circle to obtain the center coordinates of the reference segment; similarly, calculating according to the common chord of the adjacent duct pieces, the midpoint coordinates of the common chord vectors of the adjacent duct pieces, the vertical chord theorem and the intersecting chord theorem of the circle to obtain the center coordinates of the adjacent duct pieces;
s5, determining an azimuth angle of a connecting line vector between the circle center coordinate of the reference segment and the circle center coordinate of the adjacent segment;
s6, determining the deformation conditions of the adjacent pipe pieces relative to the reference pipe piece according to the relation between the azimuth angle of the connecting line vector and the azimuth angle of the seam of the reference pipe piece, wherein the deformation conditions comprise a pure inner staggered platform, a pure outer staggered platform, an outer opening and an inner opening;
when a connecting line vector between the circle center coordinate of the reference duct piece and the circle center coordinate of the adjacent duct piece is 0, the deformation condition is no deformation;
wherein, in S6, according to the relation between the azimuth of line vector between the centre of a circle coordinate of referring to the section of jurisdiction and the centre of a circle coordinate of adjacent section of jurisdiction, the azimuth of referring to the section of jurisdiction seam crossing, confirm that adjacent section of jurisdiction is for the step of referring to the deformation condition of section of jurisdiction:
sequentially connected with the circle center O of the reference duct piece i And the circle center O of the adjacent pipe piece i+1 Establishing a circle center connecting line vector
Figure FDA0003784077360000011
By reference to the coordinates of the circle center of the duct piece
Figure FDA0003784077360000012
And the circle center coordinates of adjacent pipe segments
Figure FDA0003784077360000013
Determining circle center connecting line vector
Figure FDA0003784077360000014
Azimuth angle of
Figure FDA0003784077360000015
Connecting line vectors through circle centers according to the directions of the adjacent pipe sheets relative to the reference pipe sheet
Figure FDA0003784077360000016
Azimuth angle of
Figure FDA0003784077360000017
Reference to azimuth at segment seam
Figure FDA0003784077360000018
Or
Figure FDA0003784077360000019
Determining the included angle beta between the circle center connecting line vector and the reference segment seam i+1,i ，
Figure FDA00037840773600000110
Or alternatively
Figure FDA00037840773600000111
According to beta i+1,i Determining the deformation conditions of the adjacent pipe sheets relative to the reference pipe sheet, wherein the deformation conditions comprise pure inner staggering, pure outer staggering, inner opening and outer opening;
wherein when
Figure FDA00037840773600000112
And is provided with
Figure FDA00037840773600000113
When the utility model is used, the water is discharged,
Figure FDA00037840773600000114
when in use
Figure FDA00037840773600000115
And is provided with
Figure FDA00037840773600000116
When the temperature of the water is higher than the set temperature,
Figure FDA00037840773600000117
when the temperature is higher than the set temperature
Figure FDA00037840773600000118
And is
Figure FDA00037840773600000119
When the temperature of the water is higher than the set temperature,
Figure FDA00037840773600000120
when in use
Figure FDA0003784077360000021
And is
Figure FDA0003784077360000022
When in use
Figure FDA0003784077360000023
And is
Figure FDA0003784077360000024
When the temperature is higher than the set temperature
Figure FDA0003784077360000025
And is provided with
Figure FDA0003784077360000026
When the temperature is higher than the set temperature
Figure FDA0003784077360000027
And is provided with
Figure FDA0003784077360000028
When beta is i+1,i When the deformation condition is no more than 0 degree, the deformation condition is pure inner dislocation, and the condition indicates that the joint included angle of the adjacent pipe sheet relative to the reference pipe sheet is not opened, and the adjacent pipe sheet is translated to the inner space of the tunnel along the joint relative to the reference pipe sheet;
when beta is i+1,i When the deformation condition is not less than 180 degrees, the deformation condition is a pure staggered platform, which means that the joint included angle of the adjacent pipe sheets relative to the reference pipe sheet is not opened, and the adjacent pipe sheets are translated towards the soil facing space along the joint relative to the reference pipe sheet;
when 0 DEG < beta i+1,i When the angle is less than 180 degrees, the deformation condition is inward opening, which means that the joint included angle of the adjacent pipe sheets relative to the reference pipe sheet opens towards the inner space of the tunnel;
when-180 DEG < beta i+1,i When the angle is less than 0 degree, the deformation condition is outward opening, which means that the joint included angle of the adjacent pipe sheets relative to the reference pipe sheet is opened towards the soil facing surface space.
2. The shield tunnel joint deformation analysis method based on any two points of the duct pieces as claimed in claim 1, which is characterized in that: in S1, the step of obtaining the coordinates of any two points which are structurally symmetrical on the inner surface of the reference segment comprises the following steps:
from the origin O of the coordinate system 0 Respectively making reference to any two points M which are symmetrical in structure on the inner surface of the duct piece a 、M b Vector of (a)
Figure FDA0003784077360000029
And obtaining a connecting line vector through measurement
Figure FDA00037840773600000210
Length of (2)
Figure FDA00037840773600000211
And azimuth angle
Figure FDA00037840773600000212
Figure FDA00037840773600000213
Then point M a Point M b Respectively have the coordinates of
Figure FDA00037840773600000214
And
Figure FDA00037840773600000215
similarly, the step of obtaining the coordinates of any two points on the adjacent pipe sheets comprises:
from the origin O of the coordinate system 0 Respectively making any two points M on the inner surfaces of adjacent pipe pieces 1,i+1 、M 2,i+1 Vector of (2)
Figure FDA00037840773600000216
Figure FDA00037840773600000217
Obtaining a join line vector by measurement
Figure FDA00037840773600000218
Length of (2)
Figure FDA00037840773600000219
And azimuth angle
Figure FDA00037840773600000220
Figure FDA00037840773600000221
Then point M 1,i+1 Point M 2,i+1 Respectively are
Figure FDA00037840773600000222
And
Figure FDA00037840773600000223
3. the shield tunnel joint deformation analysis method based on any two points of the duct pieces as claimed in claim 2, which is characterized in that: in the step (S2), the first step,
reference to the normal chord vector of the duct piece
Figure FDA0003784077360000031
Of (2) midpoint coordinates
Figure FDA0003784077360000032
Comprises the following steps:
Figure FDA0003784077360000033
normal chord vector of adjacent duct pieces
Figure FDA0003784077360000034
Of (a) midpoint coordinate Z i+1 (x i+1 ,y i+1 ) Comprises the following steps:
Figure FDA0003784077360000035
reference to the normal chord vector of the duct piece
Figure FDA0003784077360000036
Azimuth angle ofComprises the following steps:
when the temperature is higher than the set temperature
Figure FDA0003784077360000037
And is
Figure FDA0003784077360000038
In time, refer to the normal chord vector of the duct piece
Figure FDA0003784077360000039
In the first quadrant, with an azimuth angle of:
Figure FDA00037840773600000310
when in use
Figure FDA00037840773600000311
And is
Figure FDA00037840773600000312
In time, refer to the normal chord vector of the duct piece
Figure FDA00037840773600000313
In the second quadrant, with azimuth angle:
Figure FDA00037840773600000314
when the temperature is higher than the set temperature
Figure FDA00037840773600000315
And is
Figure FDA00037840773600000316
In time, refer to the normal chord vector of the duct piece
Figure FDA00037840773600000317
Located in the third quadrantThe azimuth angle is:
Figure FDA00037840773600000318
when in use
Figure FDA00037840773600000319
And is
Figure FDA00037840773600000320
In time, refer to the normal chord vector of the duct piece
Figure FDA00037840773600000321
In the fourth quadrant, at an azimuth angle of:
Figure FDA0003784077360000041
4. the shield tunnel joint deformation analysis method based on any two points of the segment as claimed in claim 3, characterized in that: in S3, the step of determining the azimuth angle of the reference segment structure symmetry line according to the reference segment ordinary chord vector azimuth angle and further determining the azimuth angle of the reference segment seam position is as follows:
refer to section of jurisdiction structure symmetry line
Figure FDA0003784077360000042
The azimuth angle of (c) is:
Figure FDA0003784077360000043
according to the direction of the adjacent pipe sheets relative to the reference pipe sheet, the azimuth angle of the joint of the reference pipe sheets in the clockwise direction is determined
Figure FDA0003784077360000044
Or reference tube in anti-clockwise directionAzimuth of sheet seam
Figure FDA0003784077360000045
Wherein the content of the first and second substances,
Figure FDA0003784077360000046
δ i for reference to the central angle, K, corresponding to the segment 1,i 、K 2,i Respectively showing an inner diameter end point and an outer diameter end point of a seam in the clockwise direction of the reference object pipe piece, K 3,i 、K 4,i The reference object tube piece shows an inner diameter endpoint and an outer diameter endpoint of a joint in a counterclockwise direction.
5. The shield tunnel joint deformation analysis method based on any two points of the segment as claimed in claim 4, characterized in that: in S4, the step of obtaining the center coordinates of the reference duct piece by calculation according to the reference duct piece ordinary chord, the midpoint coordinates of the reference duct piece ordinary chord vector, the vertical chord theorem and the intersecting chord theorem of the circle comprises the following steps:
s41, obtaining a relational expression according to the circle sag theorem and the intersecting chord theorem:
Figure FDA0003784077360000047
wherein, O i In order to refer to the circle center of the pipe piece,
Figure FDA0003784077360000048
are respectively point M a And point Z i Distance between, point M b And point Z i Distance between, point O i And point Z i The distance therebetween;
s42, again according to the point M a And point M b Is calculated to obtain the coordinates of
Figure FDA0003784077360000049
S43, under the condition that the reference segment inner diameter r is known, calculating to obtain
Figure FDA00037840773600000410
The distance of (a) to (b),
Figure FDA00037840773600000411
and brought into point Z i The coordinates can be calculated to obtain the center coordinates of the reference segment
Figure FDA00037840773600000412
In the same way, the middle points M of the adjacent tube sheets 1,i+1 Point M 2,i+1 Point Z i+1 (x i+1 ,y i+1 ) Substituting S41-S43, and calculating to obtain circle center coordinates of adjacent segments
Figure FDA00037840773600000413
6. The shield tunnel joint deformation analysis method based on any two points on the segment as claimed in any one of claims 1 to 5, wherein: when the deformation condition is either inwardly or outwardly expanded, the method further comprises the steps of:
s7, calculating to obtain inner diameter point coordinates and/or outer diameter point coordinates of the reference segment joints according to the circle center coordinates of the reference segment, the azimuth of the reference segment joints and the reference segment inner diameter and/or the reference segment outer diameter;
s8, calculating the distance from the circle center of the adjacent pipe piece to an inner diameter point on the seam of the reference pipe piece, and determining the staggered relation of the adjacent pipe piece relative to the reference pipe piece according to the size relation between the distance and the inner diameter of the adjacent pipe piece;
or calculating the distance from the circle center of the adjacent pipe piece to the outer diameter point on the seam of the reference pipe piece, and determining the staggered relation of the adjacent pipe piece relative to the reference pipe piece according to the size relation between the distance and the outer diameter of the adjacent pipe piece;
the slab staggering relationship comprises an inner slab staggering, an outer slab staggering and no slab staggering.
7. The shield tunnel joint deformation analysis method based on any two points of the duct piece as claimed in claim 6, characterized in that: in the step S7, the first step is executed,
inner diameter point K of joint of pipe piece in clockwise direction 1,i The coordinates are:
Figure FDA0003784077360000051
outer diameter point K of duct piece joint in clockwise direction 2,i The coordinates are:
Figure FDA0003784077360000052
inner diameter point K of duct piece joint in anticlockwise direction 3,i The coordinates are:
Figure FDA0003784077360000053
outer diameter point K of duct piece joint in anticlockwise direction 4,i The coordinates are:
Figure FDA0003784077360000054
wherein, R and R are the internal diameter and the external diameter of reference section of jurisdiction respectively.
8. The shield tunnel joint deformation analysis method based on any two points of the duct piece as claimed in claim 7, characterized in that: when the adjacent segment is in the counterclockwise direction with reference to the segment, then in S8:
the method comprises the following steps of calculating the distance from the circle center of the adjacent pipe piece to the inner diameter point of the joint of the reference pipe piece, and determining the staggered relation of the adjacent pipe piece relative to the reference pipe piece according to the size relation between the distance and the inner diameter of the adjacent pipe piece:
circle center O of adjacent pipe piece i+1 To point K 3,i Is a distance of
Figure FDA0003784077360000055
When in use
Figure FDA0003784077360000056
When the said dislocation relation is no dislocation, when
Figure FDA0003784077360000057
When the said wrong station relation is wrong station, when
Figure FDA0003784077360000058
The staggered platform relation is an inner staggered platform;
or, calculate the distance of the outer diameter point of the centre of a circle to referring to section of jurisdiction seam crossing of adjacent section of jurisdiction to according to the big or small relation between distance and the adjacent section of jurisdiction external diameter, confirm adjacent section of jurisdiction for the step of referring to the wrong platform relation of section of jurisdiction is:
circle center O of adjacent pipe piece i+1 To point K 4,i Is a distance of
Figure FDA0003784077360000059
And when
Figure FDA00037840773600000510
When the said wrong station relation is no wrong station, when
Figure FDA0003784077360000061
When the said channel-staggering relationship is the channel-staggering relationship when
Figure FDA0003784077360000062
The staggering station relation is an inner staggering station.
9. The shield tunnel joint deformation analysis method based on any two points of the duct pieces as claimed in claim 8, characterized in that: the method further comprises the steps of:
and S9, calculating a joint included angle and a slab staggering amount of the adjacent pipe pieces relative to the reference pipe piece according to the deformation condition.
CN202111325311.1A 2021-11-10 2021-11-10 Shield tunnel joint deformation analysis method based on arbitrary two points of duct piece Active CN114046767B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN202111325311.1A CN114046767B (en) 2021-11-10 2021-11-10 Shield tunnel joint deformation analysis method based on arbitrary two points of duct piece

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN202111325311.1A CN114046767B (en) 2021-11-10 2021-11-10 Shield tunnel joint deformation analysis method based on arbitrary two points of duct piece

Publications (2)

Publication Number Publication Date
CN114046767A CN114046767A (en) 2022-02-15
CN114046767B true CN114046767B (en) 2022-10-14

Family

ID=80207967

Family Applications (1)

Application Number Title Priority Date Filing Date
CN202111325311.1A Active CN114046767B (en) 2021-11-10 2021-11-10 Shield tunnel joint deformation analysis method based on arbitrary two points of duct piece

Country Status (1)

Country Link
CN (1) CN114046767B (en)

Families Citing this family (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN114812361B (en) * 2022-04-29 2024-01-30 苏交科集团股份有限公司 Assembled tunnel joint staggering amount measurement method

Family Cites Families (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103090842B (en) * 2013-02-07 2016-04-06 上海岩土工程勘察设计研究院有限公司 The method of a kind of circular shield tunnel multi sphere section cross section correct
CN106321148A (en) * 2016-11-14 2017-01-11 苏州大学 Method for analyzing expansion and deformation of shield tunnel connector
CN111396063B (en) * 2020-03-25 2021-05-28 中铁三局集团有限公司 Construction method for short-distance upward-crossing existing line downward-passing sewage jacking pipe of water-rich sand layer shield
CN113091639A (en) * 2021-04-01 2021-07-09 浙江华东测绘与工程安全技术有限公司 Shield tunnel segment dislocation extraction method
CN113360985B (en) * 2021-06-10 2022-04-22 安徽省建筑科学研究设计院 High-precision prediction method for longitudinal deformation of existing shield tunnel caused by penetration of newly-built tunnel

Also Published As

Publication number Publication date
CN114046767A (en) 2022-02-15

Similar Documents

Publication Publication Date Title
AU2005201584B2 (en) Method for estimating the accuracy of azimuthal orientations and portable sighting device
Riveiro et al. An innovative method for remote measurement of minimum vertical underclearance in routine bridge inspection
Valença et al. Applications of photogrammetry to structural assessment
CN114541480B (en) Steel shell immersed tube assembly precision inspection method and system
Malowany et al. Multi-camera digital image correlation method with distributed fields of view
Riveiro et al. A novel approach to evaluate masonry arch stability on the basis of limit analysis theory and non-destructive geometric characterization
WO2020057101A1 (en) Detection system for measuring pipeline size parameters and detection method therefor
CN114046767B (en) Shield tunnel joint deformation analysis method based on arbitrary two points of duct piece
CN208059861U (en) City integrated underground pipe gallery relative settlement monitoring system
CN115075296B (en) Calibration method for curve section pipe joint
CN114332402B (en) Steel bridge simulation pre-assembly method integrating ground type and hand-held laser scanning
CN103017672A (en) Non-contact nondestructive testing method for bridge structure
McAnallen et al. Initial geometric imperfection measurement and characterization of cold-formed steel C-section structural members with 3D non-contact measurement techniques
Du et al. Cross‐section positioning based on a dynamic MLS tunnel monitoring system
CN110487195B (en) Vehicle-mounted tunnel detection method and device based on directional linear array technology
CN114444189A (en) Inversion analysis method for shield tunnel longitudinal joint opening angle
Yang et al. Structural damage identification of subseabed shield tunnels based on distributed fiber optic sensors and information fusion
CN110686612B (en) Inclination measuring device and inclination measuring method based on shape sensor
CN114036754A (en) Shield tunnel segment joint disease condition analysis method
CN115853030A (en) Integrated intelligent monitoring system and method for operating subway adjacent to deep foundation pit project
CN114329708A (en) Rain sewage pipe network offset detection method based on three-dimensional laser scanning technology
CN111951401B (en) Precise three-dimensional geometric model construction method of pipeline elbow capable of being used for laser scanning
El-Ashmawy Developing and testing a method for deformations measurements of structures
CN114353735B (en) Tunnel joint disease index analysis method based on segment symmetry points
MIURA et al. Vision metrology applied for configuration and displacement

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant