CN111622114B - Bridge segment prefabrication construction line shape error adjusting method - Google Patents
Bridge segment prefabrication construction line shape error adjusting method Download PDFInfo
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Abstract
The invention relates to the technical field of bridge construction control, in particular to a bridge segment prefabrication construction line shape error adjusting method, which comprises the following steps: s1: acquiring a nominal coordinate of a first segment; s2: obtaining a theoretical matching coordinate of the segment based on the nominal coordinate, and taking the segment as a matching beam of the next segment; s3: pouring concrete of the next section, and acquiring a matching measurement coordinate of the matching beam and a reference measurement coordinate of the next section before removing the internal mold; s4: establishing a relational expression between the theoretical matching coordinates and the matching measurement coordinates about translation, rotation and scaling parameters and solving the relational expression; s5: calculating the nominal coordinate of the next segment according to the solved parameters and the reference measurement coordinate; s6: based on the nominal coordinates of the next segment, steps S2-S5 are repeated to complete all segment pours. The problem that influence of the scaling parameter on the control point is neglected, so that control accuracy of the prefabricated linear error is insufficient, and the smooth degree of the prefabricated linear is influenced in the prior art can be solved.
Description
Technical Field
The invention relates to the technical field of bridge construction control, in particular to a bridge section prefabrication construction line shape error adjusting method.
Background
The bridge short-line method segment prefabrication construction includes that a girder is divided into a plurality of segments according to a girder design drawing, structural segment prefabrication is carried out on a limited fixed site, according to a set prefabrication line shape, a flat curve is formed by different lengths of the left side and the right side of the girder, a vertical curve is formed by different lengths of the top plate and the bottom plate of the girder, prefabrication starts from a 1 st segment, the 1 st segment is poured between a fixed end mold and a movable end mold, then the segment moves forwards to serve as a matching beam (serving as the movable end mold) to pour a 2 nd segment, the process is repeated, the i th segment moves forwards to pour an i +1 th segment until all segments are prefabricated, and finally prefabrication is completed to reach a set target line shape.
In the segment prefabrication and matching construction process, due to the positioning error between a measured value and a theoretical value during segment matching, the disturbance error of a matched beam during concrete pouring, the coordinate measurement error of a control point and the like, the line shape of an actual newly prefabricated segment has an error with the theoretical value, if the adjustment is not carried out in time, the error will be continuously accumulated to a subsequent segment, and therefore the line shape error needs to be dynamically and circularly calculated and adjusted in the prefabrication construction process.
When the short-line method segment prefabrication construction is used in domestic engineering, 6 coordinate control points are adopted by a matched beam, prefabrication error relations of rotation, scaling and translation exist between actual matching positions of the 6 control points and theoretical values, at present, the influence of scaling scale parameters on the control points is often ignored during segment prefabrication construction line shape error calculation, so that the control accuracy of the prefabricated line shape error of a single segment is insufficient, and the smoothness degree of the whole prefabricated line shape of a bridge structure is influenced.
Disclosure of Invention
Aiming at the defects in the prior art, the invention aims to provide a bridge section prefabrication construction line shape error adjusting method, which can solve the problem that the influence of a scaling parameter on a control point is neglected during error calculation in the prior art, so that the control precision of the prefabricated line shape error of a single section is insufficient, and the smoothness degree of the integral prefabricated line shape of a bridge structure is influenced.
In order to achieve the above purposes, the technical scheme adopted by the invention is as follows:
the invention provides a method for adjusting the line shape error of bridge segment prefabrication construction, which comprises the following steps:
s1: acquiring nominal coordinates of 6 measurement control points of a first segment;
s2: based on the nominal coordinates of the segment, obtaining theoretical matching coordinates of a measuring control point of the segment according to the three-dimensional translation and rotation relation of the next segment relative to the segment in the overall theoretical prefabricated line shape of the bridge structure, and moving the segment to the theoretical position of a matching beam to serve as the matching beam of the next segment;
s3: pouring next section of concrete, and acquiring a matching measurement coordinate of the matching beam measurement control point and a reference measurement coordinate of the next section of measurement control point before removing the internal mold of the next section of concrete;
s4: establishing theoretical matching coordinates and matching measurement coordinates, and relating to translation parameters, rotation parameters and scaling parameters miSolving the relational expression of (A);
s5: according to the solved translation parameter, rotation parameter and scaling parameter miAnd calculating the nominal coordinate of the next segment of the measurement control point by referring to the measurement coordinate;
s6: and repeating the steps S2 to S5 based on the nominal coordinates of the next segment measurement control point until the nominal coordinates of all segment measurement control points are determined to complete the casting of all segments of the bridge.
On the basis of the technical scheme, a prefabricated construction local coordinate system is established by taking the middle of the fixed end die as an original point, concrete of a first section is poured on a prefabricated template, 6 measurement control points are buried in a top plate of the first section after the concrete is poured, and collected measurement control point coordinates are used as nominal coordinates of the measurement control points of the first section before the internal die of the first section is detached after the concrete of the section reaches the strength required by design.
On the basis of the technical scheme, the establishment of the theoretical matching coordinates and the matching measurement coordinates relates to translation parameters, rotation parameters and scaling parameters miThe relational expression (c) specifically includes:
wherein: i is the current segment number, and j is the measurement control point label; [ x ] ofj,yj,zj]i TFor theoretical matching of coordinates, [ x ]j’,yj’,zj’]i TFor matching measured coordinates, Δ xi、Δyi、ΔziRespectively providing translation parameters of the i-segment along an x-axis in the bridge direction, a y-axis in the transverse bridge direction and a z-axis in the vertical direction; omegaxi、ωyi、ωziRotation parameters of an x axis, a y axis and a z axis of the i segment respectively; m isiScaling a scale parameter for the coordinates of the i-segment; r1(ωxi) For rotation of omega about the x-axisxiA rotation relation matrix of angles; r2(ωyi) For rotation of omega about the y-axisyiA rotation relation matrix of angles; r3(ωzi) For rotation of omega about the z-axisziA rotation relation matrix of angles.
On the basis of the technical scheme, the translation parameter, the rotation parameter and the scaling parameter m are obtained according to the solutioniAnd calculating the nominal coordinate of the next segment of measurement control point by referring to the measurement coordinate, which specifically comprises the following steps:
wherein: [ x ] ofj”,yj”,zj”]i+1 TThe nominal coordinates of the control points, [ x ] are measured for the next segmentj’,yj’,zj’]i+1 TThe reference measurement coordinates of the control points are measured for the next segment.
On the basis of the technical scheme, R is1(ωxi)、R2(ωyi) And R3(ωzi) Respectively as follows:
on the basis of the technical scheme, the cos omegaxi、cosωyiAnd cos omegaziThe value is 1; sin omegaxiValue of omegaxiSaid sin ωyiValue of omegayiSaid sin ωziValue of omegazi。
On the basis of the technical scheme, the least square method is adopted to solve the theoretical matching coordinate [ x ]j,yj,zj]i TMeasured coordinates of the segmentxj’,yj’,zj’]i TWith respect to translation parameter, rotation parameter and scaling parameter miThe relational expression (c) of (c).
On the basis of the technical scheme, the overall theoretical prefabricated line shape of the bridge structure is calculated by adopting a tangent initial displacement method.
Compared with the prior art, the invention has the advantages that: when calculating the coordinate acquisition value of the measurement control point of the matched beam after concrete pouring, namely the prefabricated linear error between the matched measurement coordinate and the theoretical matching coordinate, the coordinate scaling scale parameter m is considerediCompared with the existing error calculation method only considering coordinate translation and rotation or the error calculation method of simple geometric relationship, the method has the advantages that the calculation of the prefabricated linear error is more accurate, the calculation accuracy of the prefabricated linear error is improved, and the integral prefabricated linear of the segment can be effectively controlled.
Drawings
In order to more clearly illustrate the technical solutions in the embodiments of the present application, the drawings needed to be used in the description of the embodiments are briefly introduced below, and it is obvious that the drawings in the following description are only some embodiments of the present application, and it is obvious for those skilled in the art to obtain other drawings based on these drawings without creative efforts.
FIG. 1 is a flow chart of a method for adjusting the line shape error of the bridge segment prefabrication construction in the embodiment of the invention;
FIG. 2 is a schematic diagram of a position of a coordinate control point of a segment beam according to an embodiment of the present disclosure;
FIG. 3 is a schematic diagram showing the result of the method for adjusting the line shape error in the bridge segment prefabrication construction.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present application clearer, the technical solutions in the embodiments of the present application will be clearly and completely described below with reference to the drawings in the embodiments of the present application, and it is obvious that the described embodiments are some embodiments of the present application, but not all embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present application.
Embodiments of the present invention will be described in further detail below with reference to the accompanying drawings. Fig. 1 is a flowchart of a method for adjusting a line shape error in bridge segment prefabrication construction in an embodiment of the invention, and as shown in fig. 1, the invention provides a method for adjusting a line shape error in bridge segment prefabrication construction, which comprises the following steps:
s1: acquiring nominal coordinates of 6 measurement control points of a first segment;
s2: based on the nominal coordinates of the segment, obtaining the theoretical matching coordinates of the measuring control point of the segment according to the three-dimensional translation and rotation relation of the next segment in the theoretical prefabricated line of the overall structure, which is obtained according to the pre-camber of the designed linear superposed structure of the bridge, and moving the segment to the theoretical position of the matching beam to be used as the matching beam of the next segment;
s3: pouring next section of concrete, and acquiring a matching measurement coordinate of the matching beam measurement control point and a reference measurement coordinate of the next section of measurement control point before removing the internal mold of the next section of concrete;
s4: establishing theoretical matching coordinates and matching measurement coordinates, and relating to translation parameters, rotation parameters and scaling parameters miSolving the relational expression of (A);
s5: according to the solved translation parameter, rotation parameter and scaling parameter miAnd calculating the nominal coordinate of the next segment of the measurement control point by referring to the measurement coordinate;
s6: and repeating the steps S2 to S5 based on the nominal coordinates of the next segment measurement control point until the nominal coordinates of all segment measurement control points are determined to complete the casting of all segments of the bridge.
When the bridge section prefabrication construction line shape error adjusting method is used, nominal coordinates of 6 measurement control points of a first section are firstly obtained, and the section measurement is obtained according to the three-dimensional translation and rotation relation of a next section in the bridge structure overall theoretical prefabrication line shape relative to the sectionControlling theoretical matching coordinates of the control points, acquiring the section measuring coordinates of the matched beam measuring control points before removing the internal mold when pouring the next section of concrete, and then establishing translation parameters, rotation parameters and scaling parameters m of the theoretical matching coordinates and the section measuring coordinatesiSolving the relational expression of (A); according to the solved translation parameter, rotation parameter and scaling parameter miAnd calculating the nominal coordinate of the next segment of the measurement control point by the measurement coordinate; and repeating the steps based on the nominal coordinates of the next section measurement control point until the nominal coordinates of all the section measurement control points are determined so as to finish the pouring of all the sections of the bridge. When calculating the coordinate acquisition value of the measurement control point of the matched beam after concrete pouring, namely the prefabricated linear error between the matched measurement coordinate and the theoretical matching coordinate, the coordinate scaling scale parameter m is considerediCompared with the existing error calculation method only considering coordinate translation and rotation or the error calculation method of simple geometric relationship, the method has the advantages that the calculation of the prefabricated linear error is more accurate, the calculation accuracy of the prefabricated linear error is improved, and the integral prefabricated linear of the segment can be effectively controlled.
FIG. 3 is a schematic diagram showing the result of the method for adjusting the line shape error in the bridge segment prefabrication construction. Therefore, the method for adjusting the line shape error of the bridge section prefabrication construction can improve the accuracy of the prefabrication construction line shape.
In the embodiment, the overall structure theory prefabricated line shape is obtained according to the bridge design line shape superposition structure pre-camber. Because the control point coordinates of the section matched beam have errors due to the positioning error between the section matched measured coordinates and the theoretical matched coordinates, the disturbance error of the matched beam during concrete pouring, the coordinate measurement error of the control point and the like, the section matched beam needs to be corrected.
FIG. 2 is a schematic diagram of a position of a coordinate control point of a segment beam according to an embodiment of the present disclosure; as shown in fig. 2, preferably, a local coordinate system for prefabrication construction is established with the middle of the fixed end mold as an origin, concrete of a first section is poured on the prefabricated formwork, 6 measurement control points are buried in a top plate of the first section after the concrete is poured, and after the concrete of the section reaches the strength required by design, coordinates of the measurement control points are collected before the inner mold is removed to serve as nominal coordinates of the measurement control points of the first section.
In this embodiment, the first segment concrete need not be matched, and the measurement control point coordinates before the inner mold is removed are used as the nominal coordinates of the first segment measurement control point.
Preferably, the establishing of the theoretical matching coordinates and the matching measurement coordinates relates to a translation parameter, a rotation parameter and a scaling parameter miThe relation of (1):
wherein: i is the current segment number, and j is the measurement control point label; [ x ] ofj,yj,zj]i TFor theoretical matching of coordinates, [ x ]j’,yj’,zj’]i TFor matching measured coordinates, Δ xi、Δyi、ΔziRespectively providing translation parameters of the i-segment along an x-axis in the bridge direction, a y-axis in the transverse bridge direction and a z-axis in the vertical direction; omegaxi、ωyi、ωziRotation parameters of an x axis, a y axis and a z axis of the i segment respectively; m isiScaling a scale parameter for the coordinates of the i-segment; r1(ωxi) For rotation of omega about the x-axisxiA rotation relation matrix of angles; r2(ωyi) For rotation of omega about the y-axisyiA rotation relation matrix of angles; r3(ωzi) For rotation of omega about the z-axisziA rotation relation matrix of angles.
Preferably, the translation parameter, the rotation parameter and the scaling parameter m are solved according toiAnd calculating the nominal coordinate of the next segment of measurement control point by referring to the measurement coordinate, which specifically comprises the following steps:
wherein: [ x ] ofj”,yj”,zj”]i+1 TThe nominal coordinates of the control points, [ x ] are measured for the next segmentj’,yj’,zj’]i+1 TThe reference measurement coordinates of the control points are measured for the next segment.
Preferably, R is1(ωxi) For rotation of omega about the x-axisxiA rotation relation matrix of angles; r2(ωyi) For rotation of omega about the y-axisyiA rotation relation matrix of angles; r3(ωzi) For rotation of omega about the z-axisziA rotation relation matrix of angles; respectively as follows:
preferably, said cos ωxi、cosωyiAnd cos omegaziThe value is 1; sin omegaxiValue of omegaxiSaid sin ωyiValue of omegayiSaid sin ωziValue of omegazi。
In the present embodiment, when the three-dimensional rotation parameter ωxi、ωyi、ωziAt a small corner: cos omegaxi≈cosωyi≈cosωzi≈1；sinωxi≈ωxi，sinωyi≈ωyi，sinωzi≈ωzi sinωxisinωyi≈0，sinωxisinωzi≈0，sinωyisinωzi0. So will cos ωxi、cosωyiAnd cos omegaziThe value is 1; sin omegaxiValue of omegaxiSaid sin ωyiValue of omegayiSaid sin ωziValue of omegaziTo facilitate the calculation.
Calculating parameters m related to translation, rotation and scaling of theoretical matching coordinates and matching measurement coordinatesiWhen the relation (c) is expressed, the relation (c) is first simplified to:
let ai＝1+mi，bi＝ai·ωxi，ci＝ai·ωyi，di＝ai·ωziThen, the calculation formula of 7 unknown parameters of the pre-alignment error can be written as:
wherein: i is the current segment number, j is the measurement control point label, and each segment is embedded with 6 measurement control points, so the linear prefabricated line error calculation formula has 18 equations and 7 unknown parameters. And solving by adopting a nonlinear least square method to obtain a prefabricated linear error parameter: Δ xi、Δyi、Δzi、
mi＝ai-1。
Preferably, the overall theoretical prefabricated line shape of the bridge structure is calculated by adopting a tangent initial displacement method.
It is noted that, in the present application, relational terms such as "first" and "second", and the like, are used solely to distinguish one entity or action from another entity or action without necessarily requiring or implying any actual such relationship or order between such entities or actions. Also, the terms "comprises," "comprising," or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such process, method, article, or apparatus. Without further limitation, an element defined by the phrase "comprising an … …" does not exclude the presence of other identical elements in a process, method, article, or apparatus that comprises the element.
The above description is merely exemplary of the present application and is presented to enable those skilled in the art to understand and practice the present application. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the generic principles defined herein may be applied to other embodiments without departing from the spirit or scope of the application. Thus, the present application is not intended to be limited to the embodiments shown herein but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.
Claims (8)
1. A bridge segment prefabrication construction line shape error adjusting method is characterized by comprising the following steps:
s1: acquiring nominal coordinates of 6 measurement control points of a first segment;
s2: based on the nominal coordinates of the segment, obtaining theoretical matching coordinates of a measuring control point of the segment according to the three-dimensional translation and rotation relation of the next segment relative to the segment in the overall theoretical prefabricated line shape of the bridge structure, and moving the segment to the theoretical position of a matching beam to serve as the matching beam of the next segment;
s3: pouring next section of concrete, and acquiring a matching measurement coordinate of the matching beam measurement control point and a reference measurement coordinate of the next section of measurement control point before removing the internal mold of the next section of concrete;
s4: establishing theoretical matching coordinates and matching measurement coordinates, and relating to translation parameters, rotation parameters and scaling parameters miSolving the relational expression of (A);
s5: according to the solved translation parameter, rotation parameter and scaling parameter miAnd a reference measurement co-ordinate meterCalculating the nominal coordinate of the next segment measurement control point;
s6: and repeating the steps S2 to S5 based on the nominal coordinates of the next segment measurement control point until the nominal coordinates of all segment measurement control points are determined to complete the casting of all segments of the bridge.
2. The bridge segment prefabrication construction line shape error adjusting method of claim 1, wherein: the method comprises the steps of establishing a local coordinate system of prefabrication construction by taking the middle of a fixed end die as an original point, pouring concrete of a first section on a prefabricated template, burying 6 measurement control points in a top plate of the first section after the concrete is poured, and taking collected measurement control point coordinates as nominal coordinates of the measurement control points of the first section before the inner die of the first section is dismantled after the concrete of the section reaches the strength required by design.
3. The bridge segment prefabrication construction line shape error adjusting method of claim 1,
establishing a translation parameter, a rotation parameter and a scaling parameter m of the theoretical matching coordinate and the matching measurement coordinateiThe relational expression (c) specifically includes:
wherein: i is the current segment number, and j is the measurement control point label; [ x ] ofj,yj,zj]i TFor theoretical matching of coordinates, [ x ]j’,yj’,zj’]i TFor matching measured coordinates, Δ xi、Δyi、ΔziRespectively providing translation parameters of the i-segment along an x-axis in the bridge direction, a y-axis in the transverse bridge direction and a z-axis in the vertical direction; omegaxi、ωyi、ωziRotation parameters of an x axis, a y axis and a z axis of the i segment respectively; m isiScaling a scale parameter for the coordinates of the i-segment; r1(ωxi) For rotation of omega about the x-axisxiA rotation relation matrix of angles; r2(ωyi) For rotation of omega about the y-axisyiA rotation relation matrix of angles; r3(ωzi) For rotation of omega about the z-axisziA rotation relation matrix of angles.
4. The bridge segment prefabrication construction alignment error adjusting method of claim 3, wherein said solved translation parameter, rotation parameter and scale parameter miAnd calculating the nominal coordinate of the next segment of measurement control point by referring to the measurement coordinate, which specifically comprises the following steps:
wherein: [ x ] ofj”,yj”,zj”]i+1 TThe nominal coordinates of the control points, [ x ] are measured for the next segmentj’,yj’,zj’]i+1 TThe reference measurement coordinates of the control points are measured for the next segment.
5. The method for adjusting alignment errors in precast construction of bridge segments according to claim 3, wherein R is a number of R1(ωxi)、R2(ωyi) And R3(ωzi) Respectively as follows:
6. as in claimThe method for adjusting the alignment error in the bridge segment prefabrication construction of claim 5, wherein cos ω is defined as a line errorxi、cosωyiAnd cos omegaziThe value is 1; sin omegaxiValue of omegaxiSaid sin ωyiValue of omegayiSaid sin ωziValue of omegazi。
7. The bridge segment prefabrication construction line shape error adjusting method of claim 3, wherein the theoretical matching coordinate [ x ] is solved by using a least square methodj,yj,zj]i TMeasure the coordinate [ x ] with the segmentj’,yj’,zj’]i TWith respect to translation parameter, rotation parameter and scaling parameter miThe relational expression (c) of (c).
8. The bridge segment prefabrication construction line shape error adjusting method of claim 1, wherein a tangent line initial displacement method is adopted to calculate the overall theoretical prefabrication line shape of the bridge structure.
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| CN115422748A (en) * | 2022-08-31 | 2022-12-02 | 中国路桥工程有限责任公司 | Construction monitoring method for prefabricated box girder bridge and related equipment |
| CN115369707B (en) * | 2022-09-19 | 2024-05-14 | 中铁大桥局集团第一工程有限公司 | Construction method for ballastless track on long-joint large-span railway steel bridge |
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