CN-121997416-A - Linear control method suitable for scattered splicing and pushing construction of steel beams

CN121997416ACN 121997416 ACN121997416 ACN 121997416ACN-121997416-A

Abstract

The invention discloses a linear control method suitable for scattered assembly pushing construction of steel beams, which comprises the steps of dividing scattered assembly sections of the steel beams, arranging linear monitoring points of the steel beams, calculating reference coordinates of each linear monitoring point of the steel beams, selecting reference points and calculating points, calculating centroid coordinates of the reference points at the reference positions and the pushed positions to obtain centroid coordinate matrixes of the reference points at the reference positions and the pushed positions, constructing centralized coordinates of the reference points at the reference positions and the pushed positions, calculating a rotation matrix, calculating translation values, calculating theoretical to-be-spliced coordinates of the calculated points, and calculating to obtain a first coordinate Actual measurement coordinates of the section steel beam after welding are calculated to obtain the first Measuring the assembly error of the section steel girder And (3) actually measuring coordinates after pushing the segmental steel beam, and finishing beam falling. According to the method, the rotation and translation parameters of the steel beam are obtained based on singular value decomposition, and under the condition that the bridge is designed to be flat and the vertical curve is complex, calculation steps and substitution parameters are more concise and clear.

Inventors

LI ZIHAN
LIANG QIANQIAN
WANG LAIFA
LI YEXUN
GU XIAOBIN
ZHOU SICHENG
ZHANG WEI
Zou Ci
Lan Mingjuan
WANG TAIQI

Assignees

中交第三航务工程局有限公司

Dates

Publication Date: 20260508
Application Date: 20260109

Claims (10)

1. A linear control method suitable for scattered splicing and pushing construction of steel beams is characterized by comprising the following steps: step S1, dividing scattered steel beam splicing sections, determining the model number and the number of scattered steel beam splicing sections of each section, and arranging linear steel beam monitoring points; Step S2, according to bridge formation and deflection of the steel beam, obtaining a stress-free line shape of the steel beam, and calculating reference coordinates of each line-shaped monitoring point of the steel beam; s3, selecting non-collinear 3 points from the linear monitoring points of the assembled section steel beams as datum points, and selecting 1 point from the linear monitoring points of the section steel beams to be assembled as a calculation point; s4, respectively calculating mass center coordinates of 3 datum points of the assembled section steel beam at the datum position and the pushed position to obtain mass center coordinate matrixes of the datum points at the datum position and the pushed position; s5, respectively constructing the centralized coordinates of the 3 datum points of the assembled section steel beam at the reference position and the pushed position; S6, obtaining a rotation matrix transformed from a reference position to a theoretical position to be spliced through singular value decomposition based on the reference point centering matrix; S7, calculating a translation value converted from the reference position to the theoretical position to be spliced; S8, obtaining theoretical coordinates to be spliced of the calculated points according to the rotation matrix, the translation value, the coordinates of the datum points at the datum positions and the positions after pushing, the coordinates of the calculated points at the datum positions and the splicing errors of the first section steel beams; step S9, repeating the steps S3-S8, and calculating to obtain the first step Theoretical coordinate to be spliced of residual linear monitoring points of section steel beams to finish the first step Assembling, positioning and welding the section steel beams, measuring coordinates of each linear monitoring point after welding to obtain the first Actually measured coordinates of the section steel beams after welding; Step S10, for the first Converting the measured coordinates of the section steel beam after welding to obtain the first Assembling errors of the section steel beams; step S11, pushing the first The section steel beam is measured to obtain the coordinates of each linear monitoring point after pushing to obtain the first Actually measuring coordinates after pushing the section steel beam; and step S12, repeating the steps S3-S11, and sequentially carrying out assembly positioning, welding and pushing construction on the subsequent section steel girder and the subsequent steel girder section to finish girder dropping.
2. The linear control method for the scattered splicing pushing construction of the steel beam according to claim 1, wherein in the step S1, each steel beam section is provided with 2 monitoring sections along the bridge direction, the monitoring sections are respectively positioned at positions which are 0.1m away from the front beam end and the rear beam end, each monitoring section is provided with 2 linear monitoring points, the total number of the linear monitoring points is 4, and the connecting lines of the left side line and the right side line of each steel beam section are parallel to the central axis of the steel beam section; Division of girder into along-bridge direction Each segment is divided into transverse bridge directions The number of the linear control points of the steel beams of each section can be set as follows: ; In the subscript Numbering construction sections of steel beams along bridge direction, and subscripts Numbering construction sections of the transverse bridge of the steel beam and subscript Numbering the monitoring section of the steel beam along the bridge, wherein, Subscript of Numbering the monitoring section of the transverse bridge of the steel beam, wherein, ; In the step S3, the first joint is prepared Segment, already completed Segment assembly, namely selecting non-collinear 3 points from linear monitoring points of assembled segment steel beams as datum points, and supposing that , , Then the coordinate matrix of the datum point at the datum position can be obtained And a coordinate matrix of the position after pushing The method comprises the following steps: ; ; In the superscript Is the standard position of the steel beam, superscript The actual position of the steel beam after pushing; In the step S3, 1 point is selected from the linear monitoring points of the section steel beams to be assembled as the calculation point, and it is assumed that the calculation point is selected Then the coordinate matrix of the calculation point at the reference position can be obtained And a coordinate matrix of the position after pushing : ; ; In the superscript Is the theoretical position to be assembled of the steel beam.
3. The linear control method for loose-joint pushing construction of steel beams according to claim 2, wherein in the step S4, mass center coordinates of 3 datum points of the assembled section steel beams at the datum position and the position after pushing are calculated respectively to obtain a datum point coordinate matrix at the datum position And centroid coordinate matrix of position after pushing : ; 。
4. The linear control method for steel beam loose-joint pushing construction according to claim 3, wherein in the step S5, 3 datum points of the assembled section steel beam are respectively constructed to center a coordinate matrix at a datum position And centering coordinate matrix of position after pushing : ; 。
5. The linear control method for steel beam loose joint pushing construction according to claim 4, wherein in the step S6, a rotation matrix transformed from a reference position to a theoretical position to be spliced is obtained by singular value decomposition based on a reference point centering matrix Comprising: Calculation of : ; For a pair of Singular value decomposition is carried out, and solution is carried out to obtain Left singular vectors of (2) And right singular vectors : Calculation of Solving for its eigenvector , , Can obtain left singular vectors The method comprises the following steps: ; Calculation of Solving for its eigenvector , , Right singular vectors can be obtained The method comprises the following steps: ; calculating to obtain a rotation matrix : 。
6. The linear control method for steel beam loose-joint pushing construction according to claim 5, wherein in the step S7, a translation value is calculated from a reference position to a theoretical position to be spliced: 。
7. The linear control method for loose splicing and pushing construction of steel beams according to claim 6, wherein in the step S8, theoretical coordinates to be spliced of the calculated points are obtained according to the rotation matrix, the translation value, the coordinates of the datum points at the datum position and the pushing post position, the coordinates of the calculated points at the datum position and the splicing error of the first section steel beams The method comprises the following steps: ; in the formula, The mean of the errors was assembled for 3 fiducial points, namely: 。
8. The linear control method for loose-joint pushing construction of steel beams according to claim 7, wherein in the step S9, after the steel beams are welded and before pushing is started, each monitoring point is measured to obtain the first The actual measurement coordinates of the section steel beam after welding are as follows: ; In the superscript Is the actual position of the steel beam after welding.
9. The linear control method for steel beam loose-joint pushing construction according to claim 8, wherein in the step S10, the first step is Subtracting the theoretical coordinate to be spliced from the actual measurement coordinate after each linear monitoring spot welding of the section steel beam to obtain an assembling error, wherein the calculation formula is as follows: 。
10. The linear control method for the loose-joint pushing construction of the steel beams according to claim 9, wherein in the step S11, the first section steel beam is pushed, the coordinates of each linear monitoring point after pushing are measured, and the measured coordinates of the first section steel beam after pushing are obtained: 。

Description

Linear control method suitable for scattered splicing and pushing construction of steel beams Technical Field The invention belongs to a linear control method suitable for scattered splicing and pushing construction of steel beams. Background The girder steel benefits from the advantages of light structure, fast construction progress, low operation and maintenance cost and the like, is gradually widely applied to bridge construction, and the problem of construction line shape control is also gradually emphasized, wherein a stress-free control method is generally adopted to calculate the manufacturing line shape of the girder, then the relative geometric relationship of Liang Duanjian is calculated through the manufacturing line shape of the girder, elevation control is adopted as a main part when a girder section is installed, and plane and vertical line shape control is adopted as an auxiliary part to position, so that the internal force and line shape of a final Cheng Qiao state meet the requirements. From the above, the key point of the traditional steel beam linear control method is that the linear control of the steel beam split construction is realized by gradually correcting the linear inspection and stress-free configuration errors of the spliced segments in the splicing process. However, when the traditional linear control method based on the geometric method faces the complex design of flat and vertical curves and more blocks in the steel beam split joint stage, the calculation steps are complicated, the calculation data are complex, and the applicability is obviously reduced. Therefore, the linear control method suitable for the scattered splicing pushing construction of the steel beam is provided. Disclosure of Invention In order to solve the problems in the prior art, the invention provides a linear control method suitable for scattered splicing and pushing construction of steel beams, rotation and translation parameters of the steel beams are obtained based on singular value decomposition, and under the condition that bridge design is flat and vertical, calculation steps and substitution parameters are simpler and more clear. The technical scheme for achieving the purpose is as follows: a linear control method suitable for scattered splicing and pushing construction of steel beams comprises the following steps: step S1, dividing scattered steel beam splicing sections, determining the model number and the number of scattered steel beam splicing sections of each section, and arranging linear steel beam monitoring points; Step S2, according to bridge formation and deflection of the steel beam, obtaining a stress-free line shape of the steel beam, and calculating reference coordinates of each line-shaped monitoring point of the steel beam; s3, selecting non-collinear 3 points from the linear monitoring points of the assembled section steel beams as datum points, and selecting 1 point from the linear monitoring points of the section steel beams to be assembled as a calculation point; s4, respectively calculating mass center coordinates of 3 datum points of the assembled section steel beam at the datum position and the pushed position to obtain mass center coordinate matrixes of the datum points at the datum position and the pushed position; s5, respectively constructing the centralized coordinates of the 3 datum points of the assembled section steel beam at the reference position and the pushed position; S6, obtaining a rotation matrix transformed from a reference position to a theoretical position to be spliced through singular value decomposition based on the reference point centering matrix; S7, calculating a translation value converted from the reference position to the theoretical position to be spliced; S8, obtaining theoretical coordinates to be spliced of the calculated points according to the rotation matrix, the translation value, the coordinates of the datum points at the datum positions and the positions after pushing, the coordinates of the calculated points at the datum positions and the splicing errors of the first section steel beams; step S9, repeating the steps S3-S8, and calculating to obtain the first step Theoretical coordinate to be spliced of residual linear monitoring points of section steel beams to finish the first stepAssembling, positioning and welding the section steel beams, measuring coordinates of each linear monitoring point after welding to obtain the firstActually measured coordinates of the section steel beams after welding; Step S10, for the first Converting the measured coordinates of the section steel beam after welding to obtain the firstAssembling errors of the section steel beams; step S11, pushing the first The section steel beam is measured to obtain the coordinates of each linear monitoring point after pushing to obtain the firstActually measuring coordinates after pushing the section steel beam; and step S12, repeating the steps S3-S11, and sequentially