CN-121981880-A - Method for drawing disease distribution diagram of main arch ring of hyperbolic arch bridge

CN121981880ACN 121981880 ACN121981880 ACN 121981880ACN-121981880-A

Abstract

The invention discloses a method for drawing a main arch ring disease distribution map of a hyperbolic arch bridge, which comprises arch rib arch wave numbers, a local coordinate system, disease position recording standards, an integral coordinate system, arch rib disease position description standards, arch wave disease position description standards and disease pattern drawing standards. On one hand, the invention establishes a set of local coordinate system based on the horizontal projection plane, which is convenient for recording the disease position, for the main arch ring of the hyperbolic arch bridge, on the other hand, the three-dimensional curved surface is unfolded into a two-dimensional curved surface along the forward bridge direction and the transverse bridge direction, an integral coordinate system reflecting the actual size of the main arch ring is established, and the local disease coordinate is reflected at the actual position of the main arch ring of the hyperbolic arch bridge through coordinate transformation, so that the accurate drawing of the disease of the complex three-dimensional curved surface of the main arch ring of the hyperbolic arch bridge is realized.

Inventors

GUO XUEBING
ZHENG BIAO
LI ANYU
ZHAO JINJING
LIU ZHIHUA
ZHAO XIAOJIN
HAO YANJUN
GAO HAO
WANG ZHENGUO
SUN LIZHOU
YANG YANG
WANG SHUAI
SUN XIAOYING
ZHENG YEXIN
LI KAIXIN
LI YIYANG
GUO HAO
WANG WENHUI
GUO ZHONGJIE
LIU XUQIANG
ZHANG RUIJING
ZHANG XIAOWEI
LI ZHEN
YANG YONGJIE
MA JIAN
LAN BINGYI
WANG NING
LUO HAOYANG
ZHANG ZILIANG

Assignees

山西省智慧交通研究院有限公司
山西省智慧交通实验室有限公司
山西交通科学研究院集团有限公司
山西省交通建设工程质量检测中心（有限公司）

Dates

Publication Date: 20260505
Application Date: 20251227

Claims (7)

1. A method for drawing a disease distribution map of a main arch ring of a hyperbolic arch bridge is characterized by comprising an arch rib arch wave number (1), a local coordinate system (2), a disease position recording standard (3), an integral coordinate system (4), an arch rib disease position description standard (5), an arch wave disease position description standard (6) and a disease pattern drawing standard (7); The arch rib and arch wave numbers (1) are divided into arch ribs and arch waves by a transverse bridge, and the numbers and the horizontal projection plane forward bridge dimension and the horizontal projection plane transverse bridge dimension are recorded in sequence from right to left; The local coordinate system (2) takes a horizontal projection surface of the bottom surface of the main arch ring as a position recording surface of the component and the disease, and the local coordinate system (2) of the bottom surface of the main arch ring is built on the horizontal projection surface; The disease position recording standard (3) is used for describing the position of the disease in the local coordinate system (2) and preliminarily determining the spatial position of the disease; The integral coordinate system (4) is used for stretching each arch rib and each arch wave of the bottom surface of the main arch ring which is actually a three-dimensional space curved surface into independent two-dimensional planes along the forward bridge direction and the transverse bridge direction, splicing the independent two-dimensional planes into an integral two-dimensional plane according to the original space position sequence, establishing the integral coordinate system of the bottom surface of the main arch ring on the integral two-dimensional plane, and determining the actual space position of diseases on the basis of the integral coordinate system; The arch rib disease position description standard (5) is used for converting arch rib disease coordinates recorded on the local coordinate system (2) by the disease position recording standard (3) into coordinates on the integral coordinate system (4); The arch wave disease position description standard (6) is used for converting arch wave disease coordinates recorded on the local coordinate system (2) by the disease position recording standard (3) into coordinates on the whole coordinate system (4); and the disease pattern drawing standard (7) is used for drawing diseases according to the converted coordinates on the integral coordinate system (4).
2. The method for drawing the disease distribution map of the main arch ring of the hyperbolic arch bridge is characterized in that the bottom surface of the main arch ring is provided with the local coordinate system (2), the forward direction is taken as the X direction, the transverse direction is taken as the Y direction, the right and left sides are determined based on the increasing direction facing the X direction, the right side end point of the side edge of the small pile is taken as the origin, the forward direction dimension Lxi of each arch rib arch wave horizontal projection surface in the arch wave number (1) is taken as the X direction boundary of each arch rib arch wave, the transverse direction dimension Ly of the horizontal projection surface is taken as the Y direction boundary, and the transverse direction dimension Lyi of each arch rib arch wave horizontal projection surface is taken as the Lyi.
3. A method for drawing a main arch ring fault distribution map of a hyperbolic bridge according to claim 1 is characterized by establishing a fault position record standard (3), defining each folding point along the circumference of two end points, middle points and surface faults of a line fault as a node, projecting each node on a horizontal plane, defining the distance from a small pile number side boundary of a horizontal projection surface as an abscissa X in the range of the local coordinate system (2), defining the distance from the projection point of each node to a right side boundary of the horizontal projection surface as an ordinate y, forming the coordinate (X, y) of the node, defining the node with the minimum abscissa X as a starting point X1, sequentially defining the node configuration sequence number along the line fault towards the large pile number side or the left side as a node configuration sequence number as Xi, defining the node with the minimum abscissa as the starting point X1, sequentially defining the node configuration sequence number along the direction of Zhou Changshun as a node configuration sequence number as Xi, defining the node with the minimum ordinate as a node X1 if a plurality of nodes with the minimum ordinate, defining the node with the minimum ordinate as a node X1 and defining the node with the minimum ordinate as a right side boundary, and defining the node as a node i ,y i as a coordinate, and recording two-point vertex of any special fault when two vertex pairs are recorded.
4. A method for drawing a main arch ring fault distribution map of a hyperbolic arch bridge according to claim 1 is characterized by establishing the integral coordinate system (4) of the main arch ring bottom surface, stretching the main arch ring bottom surface which is actually a three-dimensional space curved surface into a two-dimensional plane along a forward bridge direction and a transverse bridge direction, wherein the forward bridge direction is taken as an X direction, the transverse bridge direction is taken as a Y direction, the right and left sides are determined based on the increasing direction facing X, the right side end point of the side edge of a small pile number is taken as an origin, the integral of the arc length of each arch rib and each arch wave forward bridge direction arch axis equation between 0 and Lxi is calculated, the integral of the arc length of each arch wave transverse bridge direction arch axis equation between 0 and Lyi 'is calculated for each component at the boundary in the X direction, and the transverse bridge direction dimension Lyi of each arch rib horizontal projection plane is Lyi' and is calculated as the boundary in the Y direction.
5. The method for drawing the main arch ring fault distribution map of the hyperbolic arch bridge is characterized by establishing a arch rib fault position description standard (5), wherein the fault is cooperatively stretched into two-dimensional fault along with the establishment of a whole coordinate system (4), aiming at a coordinate (x i ,y i ) recorded by a certain node under a local coordinate system (2), calculating the arc length integral of an arch axis equation between 0 and x i to be x i ', subtracting the transverse dimension Lyi of all arch horizontal projection surfaces on the right side of a member where the node is positioned from yi, adding the transverse dimension Lyi' of all arch horizontal bridges on the right side of the member where the node is positioned to be yi ', and converting the coordinate (x i ,y i ) recorded by the node under the local coordinate system (2) into the coordinate (x i `,y i ') under the whole coordinate system (4), and converting the coordinate of all nodes on all arch ribs under the whole coordinate system (4).
6. The method for drawing the main arch ring disease distribution map of the hyperbolic arch bridge according to claim 1, wherein the arch wave disease position description standard (6) is established; the disease is developed into two-dimensional disease along with the establishment of the integral coordinate system (4), aiming at the coordinate (x i ,y i ) recorded by a certain node under the local coordinate system (2), the arc length integral of the arch forward bridge direction arch axis equation between 0 and x i is calculated as x i `,y i , the horizontal bridge direction dimension Lyi of the arch horizontal projection surface of all arch ribs on the right side of the component where the node is positioned is y i ', the arc length integral of the arch forward bridge direction arch axis equation between 0 and y i ' is calculated as yi ', yi' plus the horizontal bridge direction dimension Lyi of all arch waves on the right side of the component where the node is positioned and the horizontal bridge direction dimension Lyi of all arch ribs are calculated as yi ', the coordinate (x i ,y i ) recorded by the node under the local coordinate system (2) is converted into the coordinate (x i `,y i ') under the integral coordinate system (4), and all the nodes on all the nodes are converted under the integral coordinate system (4).
7. The method for drawing the disease distribution map of the main arch ring of the hyperbolic arch bridge according to claim 1 is characterized by establishing the disease pattern drawing standard (7), taking an integral two-dimensional plane formed by the integral coordinate system (4) as a base map for drawing the disease distribution map, wherein Lxi 'is the length of each component, along the bridge direction, ly' is wide, and the transverse bridge direction.

Description

Method for drawing disease distribution diagram of main arch ring of hyperbolic arch bridge Technical Field The invention belongs to the technical field of bridge engineering, and particularly relates to a method for drawing a disease distribution diagram of a main arch ring of a hyperbolic arch bridge. Background In bridge inspection business, in order to better serve maintenance management work, it is often necessary to draw the distribution situation of the diseases on the surface of the bridge girder and calculate the size and engineering quantity of the diseases. When drawing the disease distribution diagram, the position of the disease on the surface of the bridge girder needs to be known. In bridge inspection reports, information of the spatial positions of diseases is often required to be displayed in the form of two-dimensional pictures. The bridge girder is a three-dimensional space structure, the common practice is to split the outer surface of the bridge girder into independent two-dimensional surfaces, and the positions of diseases are recorded on each surface independently, so that the distribution condition of the diseases on the surface of the bridge girder is obtained. The traditional method can only be applied to main beams with flat surfaces and regular shapes, generally can only be applied to rectangular surfaces, and has the following defects that (1) a coordinate system cannot be directly established on a curved surface, the size of a main arch ring cannot be described, particularly, the complicated hyperboloid of the arch wave of the hyperbolic arch bridge cannot be recorded, most of diseases on the main arch ring are three-dimensional, namely, the transverse bridge extends to three directions of the transverse bridge, the forward bridge and the vertical direction, the specific position and the size of the diseases cannot be described by the traditional method, and (3) the three-dimensional space position cannot be converted into a two-dimensional plane position and expanded into a two-dimensional distribution diagram and the like. Disclosure of Invention In order to overcome the defects of the prior art, the invention provides a method for drawing a disease distribution map of a main arch ring of a hyperbolic arch bridge, which is characterized in that a set of local coordinate system based on a horizontal projection plane is established for the main arch ring of the hyperbolic arch bridge, wherein the local coordinate system is convenient for recording the disease position, and a three-dimensional curved surface is unfolded into a two-dimensional curved surface along the forward direction and the transverse direction, an integral coordinate system reflecting the actual size of the main arch ring is established, and the local disease coordinate is reflected in the actual position of the main arch ring of the hyperbolic arch bridge through coordinate transformation, so that the accurate drawing of the disease of the complex three-dimensional curved surface of the main arch ring of the hyperbolic arch bridge is realized. The method for drawing the main arch ring disease distribution diagram of the hyperbolic arch bridge comprises arch rib arch wave numbers, a local coordinate system, a disease position recording standard, an integral coordinate system, arch rib disease position description standards, arch wave disease position description standards and disease pattern drawing standards. And the arch rib and arch wave numbers are divided into arch ribs and arch waves by the transverse bridge, and the numbers, the horizontal projection plane forward bridge dimension and the horizontal projection plane transverse bridge dimension are recorded sequentially from right to left. And the local coordinate system takes a horizontal projection surface of the bottom surface of the main arch ring as a position recording surface of the component and the diseases, and the local coordinate system of the bottom surface of the main arch ring is established on the horizontal projection surface. 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. And the integral coordinate system is used for stretching all arch ribs and arch waves on the bottom surface of the main arch ring which is actually a three-dimensional space curved surface into independent two-dimensional planes along the forward bridge direction and the transverse bridge direction, splicing all the independent two-dimensional planes into an integral two-dimensional plane according to the original space position sequence, and establishing the integral coordinate system of the bottom surface of the main arch ring on the integral two-dimensional plane. On the basis of which the actual spatial position of the disease is determined. The arch rib disease position description standard is used for converting arch rib