Linear control method suitable for steel beam scattered splicing incremental launching construction
By simplifying the calculations using the singular value decomposition method, the problem of cumbersome calculations in traditional steel beam alignment control methods under complex designs and multi-block conditions is solved, thus achieving efficient alignment control for the assembly and jacking construction of steel beams.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- CCCC THIRD HARBOR ENGINEERING CO LTD
- Filing Date
- 2026-01-09
- Publication Date
- 2026-05-08
AI Technical Summary
Traditional steel beam alignment control methods involve cumbersome calculation steps and reduced applicability when the horizontal and vertical curves are complex and have many segments, making it difficult to achieve efficient alignment control.
The singular value decomposition method is used to calculate the rotation and translation parameters of the steel beam, simplifying the calculation steps. By dividing the steel beam into segments and setting up monitoring points, the rotation and translation matrix is obtained using singular value decomposition, enabling precise positioning and welding of the steel beam.
In complex design scenarios, the calculation steps were simplified, the simplicity and flexibility of the calculations were improved, and efficient alignment control was achieved for the assembly and launching of steel beams.
Smart Images
Figure CN121997416A_ABST
Abstract
Description
Technical Field
[0001] This invention relates to a method for controlling the alignment of steel beams during assembly and jacking construction. Background Technology
[0002] Steel beams have become increasingly widely used in bridge construction due to their advantages such as lightweight structure, fast construction progress, and low operation and maintenance costs. As a result, the issue of construction alignment control has also received increasing attention. Typically, the stress-free control method is used to calculate the manufacturing alignment of the main beam, and then the relative geometric relationship between beam segments is deduced from the manufacturing alignment of the main beam. During beam segment installation, elevation control is used as the primary method, supplemented by horizontal and vertical alignment control, to ensure that the internal forces and alignment of the final bridge state meet the requirements.
[0003] As can be seen from the above, the key to traditional steel beam alignment control methods lies in gradually correcting the alignment of assembled segments and stress-free configuration errors during the assembly process to achieve alignment control during the piecemeal construction of steel beams. However, traditional alignment control methods based on geometric methods become cumbersome in calculation steps and generate complex calculation data when faced with complex horizontal and vertical curves in the design and a large number of blocks in the piecemeal assembly stage of steel beams, resulting in a significant reduction in applicability.
[0004] Therefore, a method for controlling the alignment of steel beams during jacking and assembling is provided. Summary of the Invention
[0005] To address the aforementioned problems in the existing technology, this invention provides a linear control method suitable for the assembly and launching of steel beams. Based on singular value decomposition, the rotation and translation parameters of the steel beams are obtained. In cases where the horizontal and vertical curves of the bridge design are complex, the calculation steps and parameter substitution are more concise and clear.
[0006] The technical solution to achieve the above objectives is: A method for controlling the alignment of steel beams during jacking and assembly construction, comprising: Step S1: Divide the steel beam into individual segments, determine the model and quantity of each individual steel beam segment, and set up monitoring points for the steel beam alignment; Step S2: Based on the completed bridge profile and deflection of the steel beam, obtain the stress-free profile of the steel beam and calculate the reference coordinates of each profile monitoring point of the steel beam. Step S3: Select 3 non-collinear points from the monitoring points of the assembled steel beam segments as reference points, and select 1 point from the monitoring points of the steel beam segments to be assembled as a calculation point; Step S4: Calculate the centroid coordinates of the three reference points of the assembled steel beam segment at the reference position and the position after jacking, and obtain the centroid coordinate matrix of the reference points at the reference position and the position after jacking. Step S5: Construct the centered coordinates of the three reference points of the assembled steel beam segments at their reference positions and their positions after jacking. Step S6: Based on the reference point centering matrix, obtain the rotation matrix from the reference position to the theoretical position to be pieced together through singular value decomposition; Step S7: Calculate the translation value from the reference position to the theoretical position to be pieced together; Step S8: Based on the rotation matrix, translation value, coordinates of the reference point at the reference position and the position after jacking, coordinates of the calculation point at the reference position, and assembly error of the first segment of steel beam, obtain the theoretical coordinates of the calculation point to be assembled. Step S9, repeat steps S3-S8 to calculate the first... The theoretical coordinates of the remaining alignment monitoring points of the segmental steel beam to be assembled, completing the first... The segmental steel beams were assembled, positioned, and welded. The coordinates of each alignment monitoring point were measured after welding to obtain the first... Measured coordinates of segmental steel beams after welding; Step S10, for the first The measured coordinates of the segmental steel beam after welding were transformed to obtain the first... Segmental steel beam assembly error; Step S11, push the first For segmental steel beams, the coordinates of each alignment monitoring point after jacking are measured to obtain the first... Measured coordinates of the segmental steel beam after jacking; Step S12: Repeat steps S3-S11 to sequentially assemble, position, weld, and push the subsequent steel beam segments to complete the beam placement.
[0007] Preferably, in step S1, two monitoring sections are arranged along the bridge direction for each steel beam segment, located at a distance of 0.1m from the front and rear beam ends respectively. Two linear monitoring points are arranged on each monitoring section, for a total of four linear monitoring points. The line connecting the linear monitoring points on the left and right sides of each steel beam segment is parallel to the central axis of the steel beam segment. Assume the steel beam is divided into sections along the bridge direction. The bridge is divided into segments, transversely into... Given a segment, the control points for the steel beam alignment of each segment can be numbered as follows: ; In the formula, the subscript The subscript is used to number the steel beam construction segments along the bridge direction. For the transverse construction segment numbering of the steel beam bridge, the subscript is used. The monitoring sections of the steel beams are numbered along the bridge direction, among which, subscript The cross-sectional numbering of the steel beam bridge is as follows: ; In step S3, let's assume that we are preparing to assemble the first... Segment, completed the first For segmental assembly, three non-collinear points are selected as reference points from the alignment monitoring points of the assembled steel beam segments. Let's assume these are selected... , , Then the coordinate matrix of the reference point at the reference position can be obtained. and the coordinate matrix of the position after the push. for: ; ; In the formula, superscript The superscript indicates the reference position of the steel beam. This is the actual position of the steel beam after it has been pushed into place. In step S3, one point is selected from the alignment monitoring points of the steel beam segment to be assembled as a calculation point. Here, it is assumed that one point is selected. Then the coordinate matrix of the calculation point at the reference position can be obtained. and the coordinate matrix of the position after the push. : ; ; In the formula, superscript This represents the theoretical assembly position of the steel beam.
[0008] Preferably, in step S4, the centroid coordinates of the three reference points of the assembled steel beam segment at the reference position and the position after jacking are calculated respectively, to obtain the coordinate matrix of the reference points at the reference position. and the centroid coordinate matrix of the position after the push : ; .
[0009] Preferably, in step S5, a centered coordinate matrix of the three reference points of the assembled steel beam segments is constructed at the reference positions. and the centered coordinate matrix of the position after the push : ; .
[0010] Preferably, in step S6, based on the reference point centering matrix, a rotation matrix is obtained through singular value decomposition to transform the reference position to the theoretical position to be pieced together. ,include: calculate : ; right Perform singular value decomposition and solve to obtain left singular vector and right singular vector : calculate Solve for its eigenvectors , , The left singular vector can be obtained. for: ; calculate Solve for its eigenvectors , , for: ; Calculate the rotation matrix : .
[0011] Preferably, in step S7, the translation value from the reference position to the theoretical position to be assembled is calculated: .
[0012] Preferably, in step S8, the theoretical coordinates of the calculation point to be assembled are obtained based on the rotation matrix, translation value, coordinates of the reference point at the reference position and the position after jacking, coordinates of the calculation point at the reference position, and the assembly error of the first segment of steel beam. ,Right now: ; In the formula, This is the average of the assembly errors at the three reference points, i.e.: .
[0013] Preferably, in step S9, after the steel beam welding is completed and before the jacking begins, measurements are taken at each monitoring point to obtain the... The measured coordinates of the segmental steel beam after welding are as follows: ; In the formula, superscript This shows the actual position of the steel beam after welding.
[0014] Preferably, in step S10, the first The assembly error is obtained by subtracting the theoretical coordinates to be assembled from the measured coordinates of each alignment monitoring point of the segmental steel beam after welding. The calculation formula is as follows: .
[0015] Preferably, in step S11, the first segment of the steel beam is jacked up, and the coordinates of each alignment monitoring point after jacking up are measured to obtain the measured coordinates of the first segment of the steel beam after jacking up: .
[0016] Compared with the prior art, the beneficial effects of the present invention are: Compared with common geometric-based traditional alignment control methods, this invention uses singular value decomposition to obtain the rotation and translation parameters of the steel beam. In cases where the horizontal and vertical curves of bridge design are complex, the calculation steps and parameter substitution are simpler and clearer. In practice, this method only requires selecting any 3 non-collinear points from the linear monitoring points of the assembled segments to calculate the coordinates of any linear monitoring point of the segment to be assembled. The calculation method is more flexible when there are many horizontal and vertical blocks in the steel beam assembly segments. Attached Figure Description
[0017] The accompanying drawings are provided to further illustrate the invention and form part of the specification. They are used in conjunction with embodiments of the invention to explain the invention and do not constitute a limitation thereof. In the drawings: Figure 1 This is a flowchart of a method for controlling the alignment of steel beams during jacking construction, according to the present invention. Figure 2 This is a schematic diagram showing the arrangement of linear monitoring points in this invention; Figure 3 This is a schematic diagram showing the arrangement of reference points and calculation points in this invention. Detailed Implementation
[0018] The technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.
[0019] like Figure 1 As shown, a method for controlling the alignment of steel beams during jacking construction includes: Step S1: Divide the steel beam into individual segments, determine the model and quantity of each individual steel beam segment, and set up monitoring points for the steel beam alignment.
[0020] In this embodiment, two monitoring sections are arranged along the bridge direction for each steel beam segment, located 0.1m from the front and rear beam ends respectively. Two linear monitoring points are arranged on each monitoring section, for a total of four linear monitoring points. The line connecting the linear monitoring points on the left and right sides of each steel beam segment is parallel to the central axis of the steel beam segment, and the arrangement is as follows: Figure 2 As shown; Assume the steel beam is divided into sections along the bridge direction. The bridge is divided into segments, transversely into... Given a segment, the control points for the steel beam alignment of each segment can be numbered as follows: ; In the formula, the subscript The subscript is used to number the steel beam construction segments along the bridge direction. For the transverse construction segment numbering of the steel beam bridge, the subscript is used. The monitoring sections of the steel beams are numbered along the bridge direction, among which, subscript The cross-sectional numbering of the steel beam bridge is as follows: .
[0021] Step S2: Based on the completed bridge alignment and deflection of the steel beam, obtain the stress-free alignment of the steel beam and calculate the reference coordinates of each alignment monitoring point of the steel beam.
[0022] Step S3: Select 3 non-collinear points from the monitoring points of the assembled steel beam segments as reference points, and select 1 point from the monitoring points of the steel beam segments to be assembled as a calculation point.
[0023] In the embodiment, suppose that the assembly of the first... Segment, completed the first For segmental assembly, three non-collinear points are selected as reference points from the alignment monitoring points of the assembled steel beam segments. Let's assume these are selected... , , Then the coordinate matrix of the reference point at the reference position can be obtained. and the coordinate matrix of the position after the push. for: ; ; In the formula, superscript The superscript indicates the reference position of the steel beam. This is the actual position of the steel beam after it has been pushed into place. One point is selected from the monitoring points of the steel beam segment to be assembled as the calculation point. Here, it is assumed that one point is selected. Then the coordinate matrix of the calculation point at the reference position can be obtained. and the coordinate matrix of the position after the push. : ; ; In the formula, superscript This represents the theoretical assembly position of the steel beam.
[0024] Step S4: Calculate the centroid coordinates of the three reference points of the assembled steel beam segment at the reference position and the position after jacking, and obtain the centroid coordinate matrix of the reference points at the reference position and the position after jacking.
[0025] In this embodiment, the centroid coordinates of the three reference points of the assembled steel beam segment at the reference position and the position after jacking are calculated respectively, and the coordinate matrix of the reference points at the reference position is obtained. and the centroid coordinate matrix of the position after the push : ; .
[0026] Step S5: Construct the centered coordinates of the three reference points of the assembled steel beam segments at their reference positions and their positions after jacking.
[0027] In this embodiment, a centered coordinate matrix of the three reference points of the assembled steel beam segments at their reference positions is constructed respectively. and the centered coordinate matrix of the position after the push : ; .
[0028] Step S6: Based on the reference point centering matrix, obtain the rotation matrix from the reference position to the theoretical position to be pieced together through singular value decomposition.
[0029] In this embodiment, based on the reference point-centered matrix, a rotation matrix is obtained through singular value decomposition to transform the reference position to the theoretical position to be pieced together. ,include: calculate : ; right Perform singular value decomposition and solve to obtain left singular vector and right singular vector : calculate Solve for its eigenvectors , , The left singular vector can be obtained. for: ; calculate Solve for its eigenvectors , , for: ; Calculate the rotation matrix : .
[0030] Step S7: Calculate the translation value from the reference position to the theoretical position to be assembled.
[0031] In this embodiment, the translation value from the reference position to the theoretical position to be pieced together is calculated: .
[0032] Step S8: Based on the rotation matrix, translation value, coordinates of the reference point at the reference position and the position after jacking, coordinates of the calculation point at the reference position, and assembly error of the first segment of steel beam, obtain the theoretical coordinates of the calculation point to be assembled.
[0033] In this embodiment, the theoretical coordinates of the calculation point to be assembled are obtained based on the rotation matrix, translation value, coordinates of the reference point at the reference position and the position after jacking, coordinates of the calculation point at the reference position, and assembly error of the first segment of steel beam. ,Right now: ; In the formula, This is the average of the assembly errors at the three reference points, i.e.: .
[0034] Step S9, repeat steps S3-S8, to calculate the first... The theoretical coordinates of the remaining alignment monitoring points of the segmental steel beam to be assembled, completing the first... The segmental steel beams were assembled, positioned, and welded. The coordinates of each alignment monitoring point were measured after welding to obtain the first... Measured coordinates of the segmental steel beam after welding.
[0035] In this embodiment, after the steel beam is welded and before the jacking begins, measurements are taken at each monitoring point to obtain the results. The measured coordinates of the segmental steel beam after welding are as follows: ; In the formula, superscript This shows the actual position of the steel beam after welding.
[0036] Step S10, for the first The measured coordinates of the segmental steel beam after welding were transformed to obtain the first... Segmental steel beam assembly error.
[0037] In the embodiment, the first The assembly error is obtained by subtracting the theoretical coordinates to be assembled from the measured coordinates of each alignment monitoring point of the segmental steel beam after welding. The calculation formula is as follows: .
[0038] Step S11, push the first For segmental steel beams, the coordinates of each alignment monitoring point after jacking are measured to obtain the first... Measured coordinates after the segmental steel beam is jacked up.
[0039] In this embodiment, the first steel beam segment is jacked up, and the coordinates of each alignment monitoring point are measured after jacking up to obtain the actual measured coordinates of the first steel beam segment after jacking up: .
[0040] Step S12, repeat steps S3-S11, and sequentially perform the assembly, positioning, welding and jacking construction of subsequent steel beam segments and subsequent steel beam segments to complete the beam placement.
[0041] Finally, it should be noted that the above are merely preferred embodiments of the present invention and are not intended to limit the present invention. Although the present invention has been described in detail with reference to the foregoing embodiments, those skilled in the art can still modify the technical solutions described in the foregoing embodiments or make equivalent substitutions for some of the technical features. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of the present invention should be included within the protection scope of the present invention.
Claims
1. A method for controlling the alignment of steel beams during assembly and jacking construction, characterized in that, include: Step S1: Divide the steel beam into individual segments, determine the model and quantity of each individual steel beam segment, and set up monitoring points for the steel beam alignment; Step S2: Based on the completed bridge profile and deflection of the steel beam, obtain the stress-free profile of the steel beam and calculate the reference coordinates of each profile monitoring point of the steel beam. Step S3: Select 3 non-collinear points from the monitoring points of the assembled steel beam segments as reference points, and select 1 point from the monitoring points of the steel beam segments to be assembled as a calculation point; Step S4: Calculate the centroid coordinates of the three reference points of the assembled steel beam segment at the reference position and the position after jacking, and obtain the centroid coordinate matrix of the reference points at the reference position and the position after jacking. Step S5: Construct the centered coordinates of the three reference points of the assembled steel beam segments at their reference positions and their positions after jacking. Step S6: Based on the reference point centering matrix, obtain the rotation matrix from the reference position to the theoretical position to be pieced together through singular value decomposition; Step S7: Calculate the translation value from the reference position to the theoretical position to be pieced together; Step S8: Based on the rotation matrix, translation value, coordinates of the reference point at the reference position and the position after jacking, coordinates of the calculation point at the reference position, and assembly error of the first segment of steel beam, obtain the theoretical coordinates of the calculation point to be assembled. Step S9, repeat steps S3-S8 to calculate the first... The theoretical coordinates of the remaining alignment monitoring points of the segmental steel beam to be assembled, completing the first... The segmental steel beams were assembled, positioned, and welded. The coordinates of each alignment monitoring point were measured after welding to obtain the first... Measured coordinates of segmental steel beams after welding; Step S10, for the first The measured coordinates of the segmental steel beam after welding were transformed to obtain the first... Segmental steel beam assembly error; Step S11, push the first For segmental steel beams, the coordinates of each alignment monitoring point after jacking are measured to obtain the first... Measured coordinates of the segmental steel beam after jacking; Step S12: Repeat steps S3-S11 to sequentially assemble, position, weld, and push the subsequent steel beam segments to complete the beam placement.
2. A method for controlling the alignment of steel beams during jacking construction according to claim 1, characterized in that: In step S1, two monitoring sections are arranged along the bridge direction for each steel beam segment, located at a distance of 0.1m from the front and rear beam ends respectively. Two linear monitoring points are arranged on each monitoring section, for a total of four linear monitoring points. The line connecting the linear monitoring points on the left and right sides of each steel beam segment is parallel to the central axis of the steel beam segment. Assume the steel beam is divided into sections along the bridge direction. The bridge is divided into segments, transversely into... Given a segment, the control points for the steel beam alignment of each segment can be numbered as follows: ； In the formula, the subscript The subscript is used to number the steel beam construction segments along the bridge direction. For the transverse construction segment numbering of the steel beam bridge, the subscript is used. The monitoring sections of the steel beams are numbered along the bridge direction, among which, subscript The cross-sectional numbering of the steel beam bridge is as follows: ; In step S3, let's assume that we are preparing to assemble the first... Segment, completed the first For segmental assembly, three non-collinear points are selected as reference points from the alignment monitoring points of the assembled steel beam segments. Assuming these points are selected... , , Then the coordinate matrix of the reference point at the reference position can be obtained. and the coordinate matrix of the position after the push. for: ； ； In the formula, superscript The superscript indicates the reference position of the steel beam. This is the actual position of the steel beam after it has been pushed into place. In step S3, one point is selected from the alignment monitoring points of the steel beam segment to be assembled as a calculation point. Here, it is assumed that one point is selected. Then the coordinate matrix of the calculation point at the reference position can be obtained. and the coordinate matrix of the position after the push. : ； ； In the formula, superscript This represents the theoretical assembly position of the steel beam.
3. A method for controlling the alignment of steel beams during jacking construction according to claim 2, characterized in that: In step S4, the centroid coordinates of the three reference points of the assembled steel beam segment at the reference position and the position after jacking are calculated respectively, so as to obtain the coordinate matrix of the reference points at the reference position. and the centroid coordinate matrix of the position after the push : ； 。 4. A method for controlling the alignment of steel beams during jacking construction according to claim 3, characterized in that, In step S5, the centered coordinate matrix of the three reference points of the assembled steel beam segments at their reference positions is constructed respectively. and the centered coordinate matrix of the position after the push : ； 。 5. A method for controlling the alignment of steel beams during jacking construction according to claim 4, characterized in that, In step S6, based on the reference point centering matrix, a rotation matrix is obtained through singular value decomposition to transform the reference position to the theoretical position to be pieced together. ,include: calculate : ； right Perform singular value decomposition and solve to obtain left singular vector and right singular vector : calculate Solve for its eigenvectors , , The left singular vector can be obtained. for: ； calculate Solve for its eigenvectors , , The right singular vector can be obtained. for: ； Calculate the rotation matrix : 。 6. A method for controlling the alignment of steel beams during jacking construction according to claim 5, characterized in that, In step S7, the translation value from the reference position to the theoretical position to be assembled is calculated: 。 7. A method for controlling the alignment of steel beams during jacking construction according to claim 6, characterized in that, In step S8, the theoretical coordinates of the calculation point to be assembled are obtained based on the rotation matrix, translation value, coordinates of the reference point at the reference position and the position after jacking, coordinates of the calculation point at the reference position, and assembly error of the first segment of steel beam. ,Right now: ； In the formula, This is the average of the assembly errors at the three reference points, i.e.: 。 8. A method for controlling the alignment of steel beams during jacking construction according to claim 7, characterized in that, In step S9, after the steel beam is welded and before the jacking begins, measurements are taken at each monitoring point to obtain the... The measured coordinates of the segmental steel beam after welding are as follows: ； In the formula, superscript This shows the actual position of the steel beam after welding.
9. A method for controlling the alignment of steel beams during jacking construction according to claim 8, characterized in that, In step S10, the first The assembly error is obtained by subtracting the theoretical coordinates to be assembled from the measured coordinates of each alignment monitoring point of the segmental steel beam after welding. The calculation formula is as follows: 。 10. A method for controlling the alignment of steel beams during jacking construction according to claim 9, characterized in that, In step S11, the first segment of the steel beam is jacked up, and the coordinates of each alignment monitoring point after jacking up are measured to obtain the actual measured coordinates of the first segment of the steel beam after jacking up: 。