Arch bridge main arch ring bottom surface disease distribution diagram drawing method
By establishing local and global coordinate systems and using horizontal projection and arc length integration methods, the defects of the main arch ring of the arch bridge are transformed into a two-dimensional plane, which solves the problem of inaccurate description of defect location and size in traditional methods and realizes accurate drawing of defect distribution map.
Patent Information
- Application Number
- CN202511872640.6
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-12-12
- Publication Date
- 2026-03-17
AI Technical Summary
Traditional methods cannot accurately describe the location and size of defects in the main arch ring of an arch bridge on a three-dimensional curved surface, nor can they convert three-dimensional spatial locations into two-dimensional planar locations, resulting in inaccurate defect distribution maps.
Establish local and global coordinate systems, unfold the three-dimensional surface into a two-dimensional plane through the horizontal projection plane, and transform the coordinates using the arc length integration method of the arch axis to achieve accurate recording and description of the location of the disease.
It enables precise mapping of defects in the main arch ring of arch bridges, accurately reflecting the location and size of defects on a three-dimensional curved surface on a two-dimensional plane, and providing a fast and accurate method for recording defects.
Smart Images
Figure CN121685251A_ABST
Abstract
Description
TECHNICAL FIELD
[0001] The application belongs to the technical field of bridge engineering, and particularly relates to a method for drawing a disease distribution map of a bottom surface of a main arch ring of an arch bridge. BACKGROUND
[0002] In bridge detection services, it is often necessary to draw the distribution of diseases on the surface of the main girder of the bridge and calculate the size and engineering quantity of the diseases. When drawing the disease distribution map, the position of the disease on the surface of the main girder of the bridge needs to be known. In the bridge detection report, the information of the spatial position of the disease is often displayed in the form of a two-dimensional picture.
[0003] The main girder of the bridge is a three-dimensional space structure, and the usual method is to split the outer surface of the main girder of the bridge into independent two-dimensional surfaces, and record the position of the disease on each surface separately, and then obtain the distribution of the disease on the surface of the main girder of the bridge. The traditional method can only be applied to the main girder with a flat and regular surface, and when facing a three-dimensional curved surface such as an arch bridge, the traditional method has the following shortcomings: (1) a coordinate system cannot be directly established on the curved surface, and the size of the main arch ring cannot be described; (2) the disease on the main arch ring is mostly three-dimensional, that is, it extends in the transverse bridge direction, the longitudinal bridge direction and the vertical direction, and the traditional method cannot describe the specific position and size of the disease; (3) it is impossible to convert the three-dimensional spatial position into a two-dimensional plane position and expand it into a two-dimensional distribution map. SUMMARY
[0004] In order to overcome the defects of the prior art, the application provides a method for drawing a disease distribution map of a bottom surface of a main arch ring of an arch bridge, establishes a local coordinate system based on a horizontal projection plane for conveniently recording the position of the disease, expands the three-dimensional curved surface into a two-dimensional plane to establish an overall coordinate system reflecting the actual size of the main arch ring, and reflects the local disease coordinates at the actual position of the main arch ring of the arch bridge through coordinate transformation, thereby realizing accurate drawing of the disease on the three-dimensional curved surface.
[0005] The technical scheme adopted by the application is as follows: The method for drawing a disease distribution map of a bottom surface of a main arch ring of an arch bridge provided by the application comprises a local coordinate system, a disease position recording standard, an overall coordinate system, a disease position description standard and a disease style drawing standard.
[0006] The local coordinate system takes the horizontal projection plane of the bottom surface of the main arch ring as the position recording plane of the disease and the component, and establishes the local coordinate system of the bottom surface of the main arch ring on the horizontal projection plane.
[0007] The disease position recording standard is used to describe the position of the disease in the local coordinate system, and preliminarily determines the spatial position of the disease.
[0008] The whole coordinate system, the main arch ring bottom surface of the actual three-dimensional space surface is stretched along the bridge direction to a two-dimensional plane, and the whole coordinate system of the main arch ring bottom surface is established on the two-dimensional plane. The two-dimensional plane is used as the base map for drawing the disease distribution map, and the actual spatial position of the disease is determined on this basis.
[0009] The disease position description standard is used to convert the disease coordinates recorded on the local coordinate system through the disease position recording standard into coordinates on the whole coordinate system.
[0010] The disease pattern drawing standard is used to draw the disease on the whole coordinate system according to the converted coordinates.
[0011] The local coordinate system of the main arch ring bottom surface is established, wherein the bridge direction is the X direction, the transverse bridge direction is the Y direction, the left and right are determined based on the X increasing direction, the right end point of the small stake side edge is the origin, the length Lx of the bridge direction of the horizontal projection plane is the X direction boundary, and the length Ly of the transverse bridge direction of the horizontal projection plane is the Y direction boundary.
[0012] The disease position recording standard is established. The two end points and the intermediate points of linear diseases and the turning points along the circumference of surface diseases are defined as nodes. The nodes are projected on the horizontal plane. In the local coordinate system, the distance from the projection point of each node to the small stake side boundary of the horizontal projection plane is defined as the horizontal coordinate x, and the distance from the projection point of each node to the right boundary of the horizontal projection plane is defined as the vertical coordinate y, to form the coordinates (x, y) of each node. For linear diseases, the node with the smallest horizontal coordinate x is defined as the starting point X1, and the nodes are sequentially numbered as Xi along the linear disease towards the large stake side or the left side. For surface diseases, the node with the smallest horizontal coordinate is defined as the starting point X1, and the nodes are sequentially numbered as Xi in the clockwise direction along the circumference. If there are multiple nodes with the smallest horizontal coordinate, the node with the smallest vertical coordinate is defined as the starting point X1. The coordinates of each node are (x i ,y i ). Specifically, when the surface disease is a rectangle parallel to the bridge direction, only the coordinates of any two opposite vertex nodes can be recorded.
[0013] The disease node coordinates and serial numbers are recorded according to the local coordinate system and the disease position recording standard.
[0014] The whole coordinate system of the main arch ring bottom surface is established. After stretching to a two-dimensional plane, the bridge direction is the X direction, the transverse bridge direction is the Y direction, the left and right are determined based on the X increasing direction, the right end point of the small stake side edge is the origin, the arc length integral of the arch axis equation from 0 to Lx is Lx`, which is the X direction boundary, and Ly is the Y direction boundary.
[0015] Establish the standard for describing the location of the disease. The disease is extended into a two-dimensional disease along with the establishment of the overall coordinate system. The coordinates (x, y, y) of a certain node are recorded in the local coordinate system. i ,y i Find the equation of the arch axis from 0 to x. i The integral of the arc length between them is x i `, the coordinates (x) recorded by the node in the local coordinate system i ,y i That is, converting to coordinates (x, y) in the global coordinate system. i `,y i Transform the coordinates of all nodes in the global coordinate system.
[0016] Establish the standard for drawing the aforementioned disease patterns. The bottom surface of the main arch ring, which is actually a three-dimensional curved surface, is stretched into a two-dimensional plane along the bridge direction as the base map for drawing the disease distribution map. Lx` is the length along the bridge direction, and Ly is the width across the bridge direction.
[0017] Preferably, the background map is white with black text and black lines. Different types of diseases are drawn and distinguished according to different legends (including colors and styles).
[0018] The standard for recording the location of defects can record and draw irregular lines and surfaces of defects, and can be used to calculate engineering quantities (length, width, and area).
[0019] The method for drawing the distribution map of defects on the bottom surface of the main arch ring of an arch bridge provided by this invention has the following advantages: (1) By projecting the three-dimensional curved surface onto the horizontal plane, a horizontal two-dimensional projection surface is obtained. Local coordinates are established on this two-dimensional plane and the location of the disease is recorded on this basis, providing a convenient and quick way to record the disease.
[0020] (2) By unfolding the three-dimensional surface in the horizontal plane to establish a global coordinate system, the true dimensions of the three-dimensional surface were obtained. The coordinates in the local coordinate system were transformed into the coordinates in the global coordinate system by using the arc length integral method of the arch axis, and the precise location and size of the disease in space were obtained.
[0021] (3) By recording the position and coordinate transformation of each key node, the irregular disease on the regular three-dimensional surface can be quickly recorded and accurately described. Attached Figure Description
[0022] Figure 1 : Schematic diagram of local coordinate system defects converted to global coordinate system defects. Detailed Implementation
[0023] To make the technical problems solved by the present invention, the technical solutions and the beneficial effects clearer, the present invention will be further described in detail below.
[0024] The arch bridge main arch rib bottom surface disease distribution map drawing method provided by the application contains 7 steps: S1: Establish a local coordinate system of the main arch rib bottom surface. Project the main arch rib on the horizontal plane to obtain a two-dimensional horizontal projection plane, wherein the bridge longitudinal direction is the X direction, the bridge transverse direction is the Y direction, the left and right are determined based on the X increasing direction, the right end point of the small pile number side edge is the origin, the bridge longitudinal dimension Lx of the horizontal projection plane is the X direction boundary, and the bridge transverse dimension Ly of the horizontal projection plane is the Y direction boundary.
[0025] S2: Establish a disease position record standard. The two end points and the intermediate points of the linear disease and the fold points along the circumference of the surface disease are defined as nodes. Project the nodes on the horizontal plane. In the local coordinate system, the distance of the node projection point from the small pile number side boundary of the horizontal projection plane is defined as the abscissa x, and the distance of the node projection point from the right boundary of the horizontal projection plane is defined as the ordinate y, to form the coordinates (x, y) of the node. For linear disease, the node with the smallest abscissa x is defined as the starting point X1, and the nodes are sequentially numbered along the linear disease towards the large pile number side or the left side as Xi. For surface disease, the node with the smallest abscissa is defined as the starting point X1, and the nodes are sequentially numbered in the clockwise direction along the circumference as Xi. If there are multiple nodes with the smallest abscissa, the node with the smallest ordinate is defined as the starting point X1. The coordinates of each node are (x i ,y i ).
[0026] S3: Record the coordinates and serial numbers of the nodes of the disease in the local coordinate system based on the above local coordinate system and disease position record standard description method.
[0027] S4: Establish a global coordinate system of the main arch rib bottom surface. Stretch the three-dimensional curved surface into a two-dimensional plane, wherein the bridge longitudinal direction is the X direction, the bridge transverse direction is the Y direction, the left and right are determined based on the X increasing direction, the right end point of the small pile number side edge is the origin, the arc length integral of the arch axis equation between 0 and Lx is Lx`, which is the X direction boundary, and Ly is the Y direction boundary. The specific steps for solving the arc length integral are as follows: S4-1: Determine the explicit expression of the arch axis equation.
[0028] S4-2: Establish the arc length differential expression.
[0029] S4-3: Establish the arc length integral expression.
[0030] S4-4: Solve the integral.
[0031] S5: Establish the standard of disease position description. Disease is cooperatively expanded to two-dimensional disease with the establishment of the overall coordinate system. According to the method of S4, the coordinates (x i ,y i ) recorded by a node in the local coordinate system are solved to be the arc length integral of the arch axis equation from 0 to x i , which is x i `, and the coordinates (x i ,y i ) recorded by the node in the local coordinate system are converted to the coordinates (x i `,y i ) in the overall coordinate system.
[0032] S6: Convert the coordinates of all nodes in the local coordinate system to the coordinates in the overall coordinate system according to S5.
[0033] S7: Establish the standard of disease pattern drawing, draw the disease distribution map, and the steps are as follows: S7-1: Draw the base map layer. The two-dimensional plane expanded in S4 is used as the base map layer, Lx` is the length, the bridge direction, Ly is the width, the cross-bridge direction. The picture is white, and the base map frame is drawn with black lines.
[0034] S7-2: Draw nodes. According to the coordinates (x i `,y i ) of each node in the overall coordinate system obtained by S5, draw the nodes in the disease layer.
[0035] S7-3: Draw the disease. For linear disease, connect the nodes in order according to the recorded node number to obtain the position and shape of the final linear disease. For surface disease, connect the nodes in order according to the recorded node number, and finally connect the end point and the starting point to obtain the position and shape of the final surface disease.
[0036] S7-4: Define the disease pattern. Different diseases are set as different legends according to the type, including different colors, styles, etc.
[0037] S7-5: Fill in the disease. Fill in each disease according to the disease pattern defined in S7-4. The linear disease only has color and does not need to be filled.
Claims
1. A method for drawing a disease distribution map of the bottom surface of a main arch of an arch bridge, characterized in that: The system comprises a local coordinate system, a disease position recording standard, a whole coordinate system, a disease position description standard and a disease pattern drawing standard, and is used for recording and drawing irregular linear and surface diseases and calculating engineering quantities including length, width and area. The local coordinate system takes the horizontal projection plane of the bottom surface of the main arch ring as the position recording plane of the component and the disease, and establishes the local coordinate system of the bottom surface of the main arch ring on the horizontal projection plane. The disease position recording standard is used for describing the position of the disease in the local coordinate system and preliminarily determining the spatial position of the disease. The whole coordinate system stretches the bottom surface of the main arch ring, which is actually a three-dimensional spatial curved surface, into a two-dimensional plane along the bridge longitudinal direction, establishes the whole coordinate system of the bottom surface of the main arch ring on the two-dimensional plane, takes the two-dimensional plane as the base map for drawing the disease distribution map, and determines the actual spatial position of the disease on the basis. The disease position description standard is used for converting the disease coordinates recorded on the local coordinate system by the disease position recording standard into the coordinates on the whole coordinate system. The disease pattern drawing standard is used for drawing the disease on the whole coordinate system according to the converted coordinates.
2. The method for drawing a disease distribution map of the bottom surface of a main arch ring of an arch bridge according to claim 1, characterized in that: The local coordinate system of the bottom surface of the main arch ring is established, wherein the bridge longitudinal direction is taken as the X direction, the bridge transverse direction is taken as the Y direction, the right side end point of the small stake number side is taken as the origin based on the determination of left and right directions facing the increasing direction of the X direction, the bridge longitudinal dimension Lx of the horizontal projection plane is taken as the X direction boundary, and the bridge transverse dimension Ly of the horizontal projection plane is taken as the Y direction boundary.
3. The method for drawing a disease distribution map of the bottom surface of a main arch ring of an arch bridge according to claim 1, characterized in that: The disease position record standard is established: two end points and intermediate points of linear disease and each fold point along the circumference of surface disease are defined as nodes; each node is projected on a horizontal plane; in the local coordinate system, the distance from the projection point of each node to the small post number side boundary of the horizontal projection plane is defined as the horizontal coordinate x, and the distance from the projection point of each node to the right boundary of the horizontal projection plane is defined as the vertical coordinate y, to form the coordinates (x, y) of the node; for linear disease, the node with the smallest horizontal coordinate x is defined as the starting point X1, and the nodes are sequentially configured with serial numbers Xi along the linear disease towards the large post number side or the left side; for surface disease, the node with the smallest horizontal coordinate is defined as the starting point X1, and the nodes are sequentially configured with serial numbers Xi in the clockwise direction along the circumference; if there are multiple nodes with the smallest horizontal coordinate, the node with the smallest vertical coordinate is defined as the starting point X1; the coordinates of each node are (x i ,y i ); when the surface disease is a rectangle parallel to the longitudinal direction of the bridge, only the coordinates of any two opposite vertex nodes can be recorded.
4. The method for drawing a disease distribution map of the bottom surface of a main arch ring of an arch bridge according to claim 1, characterized in that: The disease node coordinates and serial numbers are recorded according to the local coordinate system and the disease position recording standard.
5. The method for drawing a disease distribution map of the bottom surface of a main arch ring of an arch bridge according to claim 1, characterized in that: The whole coordinate system of the bottom surface of the main arch ring is established: after being stretched into a two-dimensional plane, wherein the bridge longitudinal direction is taken as the X direction, the bridge transverse direction is taken as the Y direction, the right side end point of the small stake number side is taken as the origin based on the determination of left and right directions facing the increasing direction of the X direction, the arc length integral of the arch axis equation between 0 and Lx is taken as Lx', which is the X direction boundary, and Ly is the Y direction boundary.
6. The method for drawing a disease distribution map of the bottom surface of a main arch ring of an arch bridge according to claim 1, characterized in that: The disease position description standard is established: the disease is cooperatively expanded to two-dimensional disease along with the establishment of the overall coordinate system; the coordinates (x i ,y i ) recorded by a node in the local coordinate system are integrated into the arc length of the arch axis equation between 0 and Xi i , and the coordinates (x i ,y i ) recorded by the node in the local coordinate system are converted into the coordinates (x i `,y i ) in the overall coordinate system; and the coordinates of all nodes in the overall coordinate system are converted.
7. The method for drawing a disease distribution map of the bottom surface of a main arch ring of an arch bridge according to claim 1, characterized in that: The disease pattern drawing standard is established: the bottom surface of the main arch ring, which is actually a three-dimensional spatial curved surface, is stretched into a two-dimensional plane along the bridge longitudinal direction as the base map for drawing the disease distribution map, Lx' is the length, the bridge longitudinal direction, and Ly is the width, the bridge transverse direction.