CN113137952B - Positioning method for tunnel section measuring point - Google Patents
Positioning method for tunnel section measuring point Download PDFInfo
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- CN113137952B CN113137952B CN202110439742.4A CN202110439742A CN113137952B CN 113137952 B CN113137952 B CN 113137952B CN 202110439742 A CN202110439742 A CN 202110439742A CN 113137952 B CN113137952 B CN 113137952B
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- G01—MEASURING; TESTING
- G01C—MEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
- G01C7/00—Tracing profiles
- G01C7/06—Tracing profiles of cavities, e.g. tunnels
Abstract
The invention relates to the technical field of tunnel engineering detection, in particular to a method for positioning a tunnel section measuring point, which comprises the following steps: (1) setting identification points at the vault, the left side wall, the right side wall and the starting and stopping positions of the tunnel profile; (2) acquiring measuring points and identification point coordinates of the tunnel section based on the same position; (3) respectively calculating the circle centers and the radiuses of the vault, the left side wall and the right side wall according to the coordinates of the identification points; compared with the prior art, the invention has the beneficial effects that: the method is used for positioning the measuring points before the tunnel section is accurately measured, the contour of the tunnel is obtained by establishing the marking point system and calculating, the measuring points are marked on the contour, the measuring datum is established, the accurate positioning of the measuring points can be obtained by calculating at the same position, the complexity and complexity of manual measurement for multiple positioning are avoided, the measuring datum is established before the intelligent measurement, and the accuracy and the effectiveness of the measured data are improved.
Description
Technical Field
The invention relates to the technical field of tunnel engineering detection, in particular to a method for positioning a tunnel section measuring point.
Background
The measurement of the tunnel section is a very key and frequent operation in tunnel engineering, and the designed excavation contour line is accurately and quickly measured and released in the tunnel construction period, so that the overbreak amount can be effectively reduced, and the construction progress is accelerated; the tunnel section detection at the present stage comprises two modes of manual measurement and instrument intelligent measurement, wherein the manual measurement needs to determine an absolute coordinate system of the tunnel section and coordinates of a measuring instrument in the absolute coordinate system in advance, and then the relation between a measuring value of a measuring instrument and a measured point is converted into the absolute coordinate system, so that the tunnel section absolute coordinate system needs to be known in the manual measurement, the position of the measured point can be confirmed only by measuring multiple points, and the tunnel section detection method has the defects of large workload, high working environment risk and large error.
The instrument intelligent measurement scans the inner contour of the tunnel through a precise intelligent device, for example, the patent numbers are: 202010228294.9, the patent names: a method for fast analysis of convergence of tunnel section includes carrying out cloud scanning on measuring points in tunnel by intelligent device, obtaining tunnel section contour by utilizing linear connection and fitting between adjacent points in point cloud.
Therefore, the method for positioning the tunnel section measuring point is developed, so that the method not only has urgent research value, but also has good economic benefit and industrial application potential, and is the basis of the power completed by the method.
Disclosure of Invention
The present inventors have conducted intensive studies to overcome the above-identified drawbacks of the prior art, and as a result, have completed the present invention after having made a great deal of creative efforts.
Specifically, the technical problems to be solved by the present invention are: a positioning method of a tunnel section measuring point is provided to judge the accurate position of the tunnel section measuring point.
In order to achieve the purpose, the invention provides the following technical scheme:
a method for positioning a tunnel section measuring point comprises the following steps:
(1) setting identification points at the vault, the left side wall, the right side wall and the starting and stopping positions of the tunnel profile;
(2) acquiring measuring points and identification point coordinates of the tunnel section based on the same position;
(3) respectively calculating the circle centers and the radiuses of the vault, the left side wall and the right side wall according to the coordinates of the identification points;
(4) judging whether the circle center of the inner contour of the tunnel belongs to a single-heart circle or a three-heart circle;
(5) establishing an identification coordinate system by taking the center coordinates of the circular arc where the vault is located as an original point, and converting the coordinates of the measuring points into the coordinates of the identification coordinate system;
(6) drawing the inner contour of the tunnel according to the type of the inner contour of the tunnel, the coordinate of the identification point and the radius relation, wherein the transition connection point of the three-heart circle is obtained through calculation;
(7) and marking the coordinates of the measuring points on the inner contour of the tunnel, determining the positions of the measuring points on the tunnel contour, and positioning the measuring points.
In the invention, as an improvement, three identification points are arranged on the vault, the left side wall and the right side wall, the distance between two adjacent identification points is 10cm-20cm, and one identification point is arranged at the starting position and the stopping position of the tunnel profile.
In the present invention, as an improvement, the calculation of the circle center and the radius in step (3) includes the following steps:
(1) the three identification points are i, j and k respectively, and the coordinate values of the identification points are respectively as follows:
Gitx，Gity；
Gjtx，Gjty；
Gktx，Gkty；
(2) the calculation formula of the circle center coordinate value is as follows:
(3) the radius is calculated as follows:
(4) the arcs and the radiuses of the vault, the left side wall and the right side wall of the tunnel are respectively expressed as follows:
Gtx，Gty，Rg；
Ltx，Lty，RL；
Ytx，Yty，RY。
in the present invention, as an improvement, the judging of the inner contour in the step (3) includes the following modes:
(1) if G istx＝Ltx＝Ytx，Gty＝Lty＝YtyThe three circular arcs of the vault, the left side wall and the right side wall are the same circle center, and the inner contour is a single-core circle;
(2) if G istx≠Ltx≠Ytx，Gty≠Lty≠YtyAnd then three arcs of the vault, the left side wall and the right side wall belong to three circle centers, and the inner contour is a three-center circle.
In the invention, as an improvement, the coordinate relation in the step (4) is converted by using the following formula:
x＝Xtx-Gtx；y＝Yty-Gty；
the coordinates of the circle center coordinates of the circular arcs to which the left side wall and the right side wall belong in the identification coordinate system are as follows:
xL＝Ltx-Gtx；yL＝Lty-Gty；
xY＝Ytx-Gtx；yY＝Yty-Gty；
the coordinates of the measurement coordinates of the starting point and the ending point of the inner contour of the tunnel in the identification coordinate system are as follows:
xQ＝Qtx-Gtx；yQ＝Qty-Gty；
xM＝Mtx-Gtx；yM＝Mty-Gty。
in the invention, as an improvement, the calculation of the transition junction of the multi-center circle in the step (5) comprises:
(1) the intersection point of the arc of the side wall on the left side and the arc of the vault is calculated as follows:
R＝Rg-RL；
(2) the intersection point of the right side wall arc and the vault arc is calculated as follows:
R＝Rg-RY。
compared with the prior art, the invention has the beneficial effects that:
(1) the method is used for positioning the measuring points before the tunnel section is accurately measured, the contour of the tunnel is obtained by establishing the marking point system and calculating, the measuring points are marked on the contour, the measuring datum is established, the accurate positioning of the measuring points can be obtained by calculating at the same position, the complexity and complexity of manual measurement for multiple positioning are avoided, the measuring datum is established before the intelligent measurement, and the accuracy and the effectiveness of the measured data are improved.
(2) The invention can automatically calculate and identify the position of the measuring point on the cross section of the tunnel through the space coordinates of the detecting instrument, the coordinates of the marking point and the space relation between the measured point and the detecting instrument, greatly simplifies the workload of field tunnel detection, and improves the detection speed and the intelligent level.
Drawings
In order to more clearly illustrate the detailed description of the invention or the technical solutions in the prior art, the drawings that are needed in the detailed description of the invention or the prior art will be briefly described below. Throughout the drawings, like elements or portions are generally identified by like reference numerals. In the drawings, elements or portions are not necessarily drawn to scale.
FIG. 1 is a schematic flow diagram of the present invention;
FIG. 2 is a diagram of a single-centered circular tunnel measurement point marker of the present invention;
FIG. 3 is a three-centered circle tunnel measuring point identification chart of the present invention;
in fig. 2, 1 is the starting point of the inner contour of the tunnel; 2.3, 4 are left side wall observation points; 5 is a point to be measured; 6.7, 8 are vault observation points; 9. 10 and 11 are right side wall observation points; 12 is a tunnel inner contour end point; t is a placing point of the measuring instrument;
in fig. 3, 1 is the starting point of the inner contour of the tunnel; 2.3, 4 are left side wall observation points; 5 is a point to be measured; 6.7, 8 are vault observation points; 9. 10 and 11 are right side wall observation points; 12 is a tunnel inner contour end point; t is a placing point of the measuring instrument; a is a circular arc center point of the left side wall; b is the arc center point of the right side wall.
Detailed Description
Embodiments of the present invention will be described in detail below with reference to the accompanying drawings. The following examples are only for illustrating the technical solutions of the present invention more clearly, and therefore are only examples, and the protection scope of the present invention is not limited thereby.
As shown in fig. 1, the invention relates to a method for positioning a measuring point of a tunnel section, wherein the measuring point is a reference measuring point established by tunnel section measurement and is used for subsequent accurate measurement of the tunnel section.
The method comprises the following steps:
(1) establishing two measurement references of a mark point coordinate and a measurement point coordinate, and measuring the mark point coordinate and the measurement point coordinate based on the same position by using an instrument during measurement, wherein the mark point information is used for drawing a subsequent tunnel contour, the measurement point coordinate is converted and then marked on the tunnel contour, and the position of the measurement point on the tunnel contour is determined;
(2) 3 identification points are respectively collected at the vault, the left side wall and the right side wall of the tunnel, the distance between two adjacent measuring points is 10cm-20cm, 1 identification point is respectively collected at the starting and stopping positions of the tunnel profile, and a measurement coordinate system is established by measuring the coordinates of the identification points;
(3) respectively calculating the circle centers and the radiuses of the circular arcs of the vault, the left side wall and the right side wall according to the 3 identification point coordinates;
(4) according to the relation of circular arc center coordinates and radiuses among the arch crown, the left side wall and the right side wall, the inner contour of the tunnel is judged to belong to a single-heart circle or a three-heart circle, in the field of highway tunnels, because the inner contour of the tunnel is small, generally, only two conditions of the single-heart circle and the three-heart circle exist, and when the contour of the tunnel is large, a multi-heart circle condition larger than 3 also exists, the invention mainly discusses the field of highway tunnels, so that only the tunnel sections under the two conditions are considered;
(5) establishing an identification coordinate system by taking the center coordinates of the circular arc where the vault is located as an original point, and converting the coordinates of the measurement coordinate systems of all the measuring points into the coordinates of the identification coordinate system;
(6) drawing the inner contour of the tunnel according to the type of the inner contour of the tunnel (a single-core circle or a three-core circle), the circular arc center coordinates and the radius relation among the arch crown, the left side wall and the right side wall, and calibrating the range of the inner contour of the tunnel by using the measured starting point and the measured stopping point of the inner contour;
when the inner contour of the tunnel is a single-heart circle, the transition connection points of two arcs with different centers of the circle exist in the inner contour of the three-heart circle, and the transition connection points are obtained through calculation;
(7) and marking the measuring points on the inner contour of the tunnel according to the measured coordinates, so as to realize accurate positioning of the measuring points.
The 3 identification points at each position of the vault, the left side wall and the right side wall are i, j and k, and the coordinate values are respectively as follows:
Gitx，Gity；
Gjtx，Gjty；
Gktx，Gkty；
the coordinate of the circle center is calculated by the coordinate values as:
calculating the radius of the arc where the identification point is located as follows:
the center coordinates and the radius of the circular arcs to which the left side wall and the right side wall of the vault belong can be obtained through the calculation, and are respectively recorded as:
Gtx，Gty，Rg；
Ltx，Lty，RL；
Ytx，Yty，RY。
according to the relation between the circular arc center coordinates and the radius among the arch crown, the left side wall and the right side wall, the inner contour of the tunnel is judged to belong to a single-heart circle or a three-heart circle, and the judgment standard is as follows:
(1) if G istx＝Ltx＝Ytx，Gty＝Lty＝YtyThe three circular arcs are the same circle center and belong to a single-center circle.
(2) If G istx≠Ltx≠Ytx，Gty≠Lty≠YtyThen the three arcs belong to three centers of circles, and belong to a three-center circle.
A coordinate system is established by taking the center coordinates of the circular arc where the arch crown is located as an original point, and the coordinate conversion of a measurement coordinate system of a measuring point identifies the conversion relation of the coordinate system as follows:
x＝Xtx-Gtx； (4)
y＝Yty-Gty； (5)
from the above transformation relationship, the coordinates of the center coordinates of the circular arcs to which the left side wall and the right side wall belong in the identification coordinate system are as follows:
xL＝Ltx-Gtx； (6)
yL＝Lty-Gty； (7)
xY＝Ytx-Gtx； (8)
yY＝Yty-Gty。 (9)
(9) the coordinates of the measurement coordinates of the starting point and the ending point of the inner contour of the tunnel in the identification coordinate system are as follows:
xQ＝Qtx-Gtx； (10)
yQ＝Qty-Gty； (11)
xM＝Mtx-Gtx； (12)
yM＝Mty-Gty。 (13)
the calculation formula of the transition joint points of two different circle center arcs of the inner contour of the three-center circle is as follows:
(1) the intersection point of the arc of the side wall on the left side and the arc of the vault is calculated as follows:
R＝Rg-RL； (16)
(2) the intersection point of the right side wall arc and the vault arc is calculated as follows:
R＝Rg-RY。 (19)
the first embodiment is as follows: a single-hole two-lane tunnel measurement with a design speed of 80km/h is carried out, wherein 3 identification points are measured at an arch part, and coordinates are respectively as follows: (51.98, 426.15), (69.91, 431.12), (84.29, 434.68); left side wall measuration 3 identification points, the coordinate is respectively: (-369.85, -30.68), (-372.93, -46.51), (-374.94, -58.26); 3 identification points are measured on the side wall of the right side, and the coordinates are respectively as follows: (807.35, 1.25), (811.42, -16.34) and (815.08, -33.01); the measurement coordinates of the starting point and the ending point of the inner contour of the tunnel are respectively as follows: (-375.4, -247.59) and (822.74, -229.09); the coordinates of the measured point to be calibrated are as follows: (X)tx，Xty) And (-147.8, 324.18), the coordinates of the measured point to be calibrated are the data measured by the instrument according to the existing reference.
(1) Confirming whether the measuring points of the vault and the left and right side walls meet the requirement that the distance between the measuring points is 10cm to 20 cm;
the adjacent spacing of three measuring points at the vault position is as follows: 18.6cm and 14.8 cm; the adjacent interval of three measurement stations of left side wall does: 16.1cm, 11.9 cm; the adjacent intervals of three measuring points on the right side wall are as follows: 18.1cm and 17.1 cm. The distance between adjacent measuring points meets the requirement of 10cm to 20 cm.
(2) Respectively calculating the circle centers and the radii of the arch crown circular arc, the left side wall circular arc and the right side wall circular arc;
the circle centers of the arch crown circular arc, the left side wall circular arc and the right side wall circular arc are calculated according to the formulas (1) and (2), and the calculation results are as follows:
the center of a circular arc of the arch of the tunnel has the coordinate (G) in a measurement coordinate systemtx，Gty)＝(222.38，-154.35)；
The center of the arc of the left side wall has a coordinate L in the measuring coordinate systemtx，Lty)＝(222.38，-154.35)；
Coordinate of the center of the arc of the right side wall in the measuring coordinate system is (Y)tx，Yty)＝(222.38，-154.35)。
The radii of the arch crown circular arc, the left side wall circular arc and the right side wall circular arc are calculated according to the formula (3), and the calculation results are as follows:
Rg＝605cm；
Rl＝605cm；
Rr＝605cm。
(3) identifying the type of the section of the tunnel;
the contrast vault circular arc, the three centre of a circle coordinates of left side wall circular arc and right side wall circular arc are visible:
Gtx＝Ltx＝Ytx，Gty＝Lty＝Yty
therefore, the three circular arcs of the section of the tunnel are the same circle center and belong to a single-center circle, and the radius is 605 cm.
(4) Establishing an identification coordinate system;
and establishing an identification coordinate system for calibrating the position of the measured point by taking the center coordinates (222.38-154.35) of the arc of the arch part as the origin of coordinates.
According to the formulas (4) and (5), the conversion relation of the measurement coordinate of each measuring point in the coordinate of the identification coordinate system is as follows:
x＝Xtx-222.38；
y＝Yty+154.35；
(5) calculating the coordinates of each measuring point in the identification coordinate system;
and (3) calculating the coordinates of each measuring point in the identification coordinate system according to the formulas (4) and (5), wherein the calculation result is as follows:
the coordinates of the starting point and the ending point of the inner contour of the tunnel in the identification coordinate system are as follows:
(xQ，yQ)＝(-597.77，-93.23)；
(xM，yM)＝(600.37，-74.73)；
coordinates of the measured point in the identification coordinate system are as follows:
(x，y)＝(-370.18，478.53)。
(6) calibrating the measured point in the identification coordinate system;
drawing the inner contour of the tunnel by taking the origin of coordinates as the center of a circle and 605cm as the radius, and taking the coordinates of a starting point and a stopping point (x)Q，yQ)＝(-597.77，-93.23)、(xM，yM) Determining the starting point and the ending point of the inner contour of the tunnel, (600.37, -74.73), drawing the inner contour of the tunnel section, and identifying the position of the measured point in the drawing, as shown in figure 2, thereby realizing accurate positioning of the measured point.
Example two: the cross section of a certain three lanes is measured, wherein the arch part is measured at 3 points, and the coordinates are as follows: (469.79, 765.3), (486.86, 768.51), and (502.29, 771.13), the left sidewall measuring 3 points with coordinates: (-258.11, 50.7), (-255.78, 68.02) and (-253.68, 81.19), the right sidewall measures 3 points in coordinates: (1539.34, 144.99), (1542.25, 125.29) and (1546.97, 107.99), the inside contour start and end point measurement coordinates of the tunnel are respectively: (-244.9, -176.31), (1547.07, -112.88); the coordinates of the measured point to be calibrated are as follows: (X)tx，Xty)＝(346.07，732.11)。
(1) Confirming whether the measuring points of the vault and the left and right side walls meet the requirement that the distance between the measuring points is 10cm to 20 cm;
the adjacent spacing of three measuring points at the vault position is as follows: 17.4cm, 15.7 cm; the adjacent interval of three measurement stations of left side wall does: 17.5cm, 13.3 cm; the adjacent intervals of three measuring points on the right side wall are as follows: 19.9cm and 17.9cm, and the distance between adjacent measuring points meets the requirement of 10cm to 20 cm.
(2) Calculating the circle centers and the radii of the arch crown circular arc, the left side wall circular arc and the right side wall circular arc;
the center of a circle of the arc crown, the arc of the left side wall and the arc of the right side wall is calculated according to the formulas (1) and (2), and the calculation result is as follows:
the center of the arc of the tunnel vault has the coordinates (Gtx, Gty) of (653.56, -166.75) in a measurement coordinate system;
coordinates of the circle center of the arc of the left side wall in the measurement coordinate system are (Ltx, Lty) to (377.25, -26.21);
③ the center of the arc of the right side wall has the coordinate (Ytx, Yty) of (916.62, -2.75) in the measuring coordinate system.
The radius of vault circular arc, left side wall circular arc and right side wall circular arc is calculated according to equation (3), and the computational result is:
Rg＝950cm；
Rl＝640cm；
Rr＝640cm。
(3) identifying the type of the section of the tunnel;
the contrast vault circular arc, the three centre of a circle coordinates of left side wall circular arc and right side wall circular arc are visible:
Gtx＝653.56≠Ltx＝377.25≠Ytx＝916.62
Gty＝-166.75≠Lty＝-26.21≠Yty＝-2.75
it can be seen that the three arcs of the tunnel cross section belong to three circle centers and three concentric circles, and the radiuses of the three arcs are R respectivelyg＝950cm；Rl＝640cm；Rr＝640cm。
(4) Establishing an identification coordinate system;
and establishing an identification coordinate system for calibrating the position of the measured point by taking the center coordinates (Gtx, Gty) ((653.56, -166.75)) of the arc of the arch as the origin of coordinates.
According to the formula (4) and the formula (5), the conversion relation of the measurement coordinate of each measuring point in the coordinate of the identification coordinate system is as follows:
x＝Xtx-653.56；
y＝Yty+166.75。
(5) calculating the coordinates of each measuring point in the identification coordinate system;
and (4) calculating the coordinates of each measuring point in the identification coordinate system according to the formula (4), wherein the calculation result is as follows:
calculating coordinates of the starting point and the ending point of the inner contour of the tunnel in the marked coordinate system according to equations (10) to (13), and converting the coordinates into the following coordinates:
(xQ，yQ)＝(-898.46，-9.55)；
(xM，yM)＝(893.52，53.87)。
coordinates of the measured point in the identification coordinate system are as follows:
(x，y)＝(-307.49，898.86)。
the center coordinates of the arcs where the left side wall and the right side wall are located;
the coordinates of the circle center of the arc of the side wall on the left side are calculated according to the formulas (6) to (7) and the coordinates of the identification coordinate system are as follows:
xL＝Ltx-Gtx＝377.25-653.56＝-276.31；
yL＝Lty-Gty＝-26.21+166.75＝140.54。
the coordinates of the center of the arc of the right side wall are calculated according to the formulas (8) to (9) and the coordinates of the identification coordinate system are as follows:
xY＝Ytx-Gtx＝916.62-653.56＝263.06；
yY＝Yty-Gty＝-2.75+166.75＝164.0。
fourthly, transition joint points of the circle center arcs;
and (3) calculating the coordinates of the intersection point between the left side wall and the arc of the arch part according to the formulas (14) to (16), and calculating to obtain the coordinates of the intersection point as follows: -846.76, 430.7.
And (3) calculating the coordinates of the intersection point between the right side wall and the arc of the arch part according to the formulas (17) to (19), and calculating to obtain the coordinates of the intersection point as follows: 806.16, 502.6.
(6) Calibrating the measured point in the identification coordinate system;
drawing an inner contour circular arc of the arch crown of the tunnel by taking the origin of coordinates as a center of a circle and taking 950cm as a radius;
drawing an inner contour circular arc at the left side of the tunnel by taking (-276.31; 140.54) as a circle center and 640cm as a radius, wherein the inner contour circular arc at the left side intersects with the arch arc at a (-846.76, 430.7) point;
drawing an inner right-side outline circular arc of the tunnel by taking (263.06, 164.0) as a circle center and 640cm as a radius, wherein the inner right-side outline circular arc intersects with the arch top circular arc at a point (806.16, 502.6);
the starting points and the stopping points of the arc of the inner contour of the tunnel are respectively as follows:
xQ，yQ＝-898.46，-9.55；
xM，yM＝893.52，53.87；
and drawing an inner contour of the tunnel section, and marking the position of the measured point in the drawing, as shown in FIG. 2, thereby realizing accurate positioning of the measured point.
Finally, it should be noted that: the above embodiments are only used to illustrate the technical solution of the present invention, and not to limit the same; while the invention has been described in detail and with reference to the foregoing embodiments, it will be understood by those skilled in the art that: the technical solutions described in the foregoing embodiments may still be modified, or some or all of the technical features may be equivalently replaced; such modifications and substitutions do not depart from the spirit and scope of the present invention, and they should be construed as being included in the following claims and description.
Claims (6)
1. A method for positioning a tunnel section measuring point is characterized by comprising the following steps:
(1) setting identification points at the vault, the left side wall, the right side wall and the starting and stopping positions of the tunnel profile;
(2) acquiring measuring points and identification point coordinates of the tunnel section based on the same position;
(3) respectively calculating the circle centers and the radiuses of the vault, the left side wall and the right side wall according to the coordinates of the identification points;
(4) judging whether the circle center of the inner contour of the tunnel belongs to a single-heart circle or a three-heart circle;
(5) establishing an identification coordinate system by taking the center coordinates of the circular arc where the vault is located as an original point, and converting the coordinates of the measuring points into the coordinates of the identification coordinate system;
(6) drawing the inner contour of the tunnel according to the type of the inner contour of the tunnel, the coordinate of the identification point and the radius relation, wherein the transition connection point of the three-heart circle is obtained through calculation;
(7) and marking the coordinates of the measuring points on the inner contour of the tunnel, determining the positions of the measuring points on the tunnel contour, and positioning the measuring points.
2. The method for positioning the tunnel section measuring point according to claim 1, wherein the method comprises the following steps: in the step (1), three identification points are arranged on the vault, the left side wall and the right side wall, the distance between two adjacent identification points is 10cm-20cm, and one identification point is arranged at each starting and stopping position of the tunnel profile.
3. The method for positioning the tunnel section measuring point according to claim 1, wherein the calculation of the circle center and the radius in the step (3) comprises the following steps:
(1) the three identification points are i, j and k respectively, and the coordinate values of the identification points are respectively as follows:
Gitx，Gity；
Gjtx，Gjty；
Gktx，Gkty；
wherein G isitxIs the abscissa, G, of the point i in the measuring coordinate systemityIs the ordinate, G, of the point i in the measurement coordinate systemjtxIs the abscissa, G, of the point j in the measuring coordinate systemjtyIs the ordinate, G, of the j point in the measurement coordinate systemktxIs the abscissa of the k point in the measurement coordinate system, GktyIs the ordinate of the k point under the measurement coordinate system;
(2) the calculation formula of the circle center coordinate value is as follows:
wherein, OtxIs an abscissa value, O, of the center of a circle to which each of the three identification points belongs in the measurement coordinate systemtyIs the longitudinal coordinate value G of the circle center of each three identification points in the measuring coordinate systemitxIs the abscissa, G, of the point i in the measuring coordinate systemityIs the ordinate, G, of the point i in the measurement coordinate systemjtxIs the abscissa, G, of the point j in the measuring coordinate systemjtyIs the ordinate, G, of the j point in the measurement coordinate systemktxIs the abscissa of the k point in the measurement coordinate system, GktyIs the ordinate of the k point under the measurement coordinate system;
(3) the radius is calculated as follows:
wherein R ishTo calculate the radius of the circular arc, GitxIs the abscissa, G, of the point i in the measuring coordinate systemityIs the ordinate of the point i in the measurement coordinate system, OtxIs an abscissa value, O, of the center of a circle to which each of the three identification points belongs in the measurement coordinate systemtyThe longitudinal coordinate value of the circle center of each three identification points in the measurement coordinate system is shown;
(4) the arcs and the radiuses of the vault, the left side wall and the right side wall of the tunnel are respectively expressed as follows:
Gtx，Gty，Rg；
Ltx，Lty，RL；
Ytx，Yty，RY；
wherein G istxThe abscissa of the arc to which the vault belongs in a measurement coordinate system; gtyIs the ordinate of the arc to which the vault belongs in the measurement coordinate system; rgThe radius of the arc to which the vault belongs; l istxThe horizontal coordinate of the arc to which the left side wall belongs in the measurement coordinate system; l istyThe vertical coordinate of the arc to which the left side wall belongs in the measurement coordinate system; rLBelongs to the left side wallThe radius of the arc; y istxThe abscissa of the arc to which the right side wall belongs in a measurement coordinate system; y istyThe vertical coordinate of the arc to which the right side wall belongs in a measurement coordinate system; rYThe radius of the arc to which the right wall belongs.
4. The method for positioning the tunnel section measuring point according to claim 1, wherein the judgment of the inner contour in the step (4) comprises the following modes:
(1) if G istx＝Ltx＝Ytx，Gty＝Lty＝YtyThe three circular arcs of the vault, the left side wall and the right side wall are the same circle center, and the inner contour is a single-core circle;
(2) if G istx≠Ltx≠Ytx，Gty≠Lty≠YtyThen three arcs of the vault, the left side wall and the right side wall belong to three circle centers, and the inner contour is a three-center circle;
wherein G istxThe abscissa of the arc to which the vault belongs in a measurement coordinate system; l istxThe horizontal coordinate of the arc to which the left side wall belongs in the measurement coordinate system; y istxThe abscissa of the arc to which the right side wall belongs in a measurement coordinate system; gtyIs the ordinate of the arc to which the vault belongs in the measurement coordinate system; l istyThe vertical coordinate of the arc to which the left side wall belongs in the measurement coordinate system; y istyThe ordinate of the arc to which the right wall belongs in the measurement coordinate system is shown.
5. The method for positioning the measuring point of the tunnel section as claimed in claim 1, wherein the coordinate relationship in the step (5) is converted by the following formula:
x＝Xtx-Gtx；y＝Yty-Gty；
wherein x is an abscissa value of the measuring point in the identification coordinate system; y is a longitudinal coordinate value of the measuring point in the identification coordinate system; xtxThe abscissa value of the measuring point in the measuring coordinate system is shown; y istyThe longitudinal coordinate value of the measuring point in the measuring coordinate system; gtxIs a circle to which the vault belongsThe abscissa of the arc in the measurement coordinate system; gtyIs the ordinate of the arc to which the vault belongs in the measurement coordinate system;
the coordinates of the center coordinates of the circular arcs to which the left side wall and the right side wall belong in the identification coordinate system are as follows:
xL＝Ltx-Gtx；yL＝Lty-Gty；
xY＝Ytx-Gtx；yY＝Yty-Gty；
wherein x isLThe abscissa value of the arc to which the left side wall belongs in the identification coordinate system; y isLThe longitudinal coordinate value of the arc to which the left side wall belongs in the identification coordinate system; x is the number ofYThe abscissa value of the arc to which the right side wall belongs in the identification coordinate system; y isYThe vertical coordinate value of the arc to which the right side wall belongs in the identification coordinate system;
the coordinates of the measurement coordinates of the starting point and the ending point of the inner contour of the tunnel in the identification coordinate system are as follows:
xQ＝Qtx-Gtx；yQ＝Qty-Gty；
xM＝Mtx-Gtx；yM＝Mty-Gty；
wherein x isQThe horizontal coordinate of the starting point and the ending point of the outline of the left side wall in the identification coordinate system is shown; y isQThe vertical coordinate of the starting point and the ending point of the outline of the left side wall in the identification coordinate system is shown; x is the number ofMThe horizontal coordinate of the starting point and the ending point of the right wall outline in the identification coordinate system is shown; y isMIs a vertical coordinate of the starting point and the ending point of the right wall outline in the identification coordinate system; qtxThe horizontal coordinate of the starting point and the ending point of the profile of the tunnel on the left side under a measurement coordinate system is shown; qtyThe vertical coordinate of the starting point and the ending point of the profile of the tunnel on the left side under a measurement coordinate system; mtxThe horizontal coordinate of the right tunnel contour starting point and the right tunnel contour stopping point under the measurement coordinate system is obtained; mtyAnd the vertical coordinate of the right tunnel contour starting point and the right tunnel contour stopping point in the measuring coordinate system is shown.
6. The method for positioning the tunnel section measuring point according to claim 1, wherein the calculation of the transition junction point of the multi-center circle in the step (6) comprises:
(1) the intersection point of the arc of the side wall on the left side and the arc of the vault is calculated as follows:
wherein R ═ Rg-RL；
x is the abscissa of the intersection point of the side wall arc and the vault arc in the identification coordinate system; y is a vertical coordinate of the intersection point of the side wall arc and the vault arc in the identification coordinate system; rLThe radius of the arc to which the left side wall belongs; rgThe radius of the arc to which the vault belongs; x is the number ofLThe abscissa value of the arc to which the left side wall belongs in the identification coordinate system; y isLThe longitudinal coordinate value of the arc to which the left side wall belongs in the identification coordinate system;
(2) the intersection point of the right side wall arc and the vault arc is calculated as follows:
R＝Rg-RY；
wherein R isyThe vertical coordinate of the arc to which the right side wall belongs in a measurement coordinate system; rRThe radius of the arc to which the right wall belongs; x is the number ofYThe abscissa value of the arc to which the right side wall belongs in the identification coordinate system; y isYAnd the vertical coordinate value of the arc to which the right side wall belongs in the identification coordinate system.
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