Method for calculating road width of interchange variable-speed vehicle
By dividing characteristic sections and calculating parameters of interoperable interchange transmission lanes, the problem of difficulty in calculating the main line width of the transmission lane in the prior art is solved, efficient and accurate calculation of the width width is achieved, and design efficiency and reliability are improved.
Patent Information
- Application Number
- CN202411820461.3
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2024-12-11
- Publication Date
- 2025-03-07
AI Technical Summary
In the design of interchange interchange, it is difficult for the prior art to directly calculate the width of the main line in the variable speed lane, resulting in low efficiency in manual measurement, drawing and verification, prone to errors, and difficult to change.
By dividing the characteristic sections of the interoperable interchange transmission lane, a ramp edge sequence is generated, and the transmission segment pile number, main slave route direction, additional orientation and additional orientation are calculated based on the route design parameters, and the intersection coordinates of the main line pile normal and the ramp edge side side of the additional orientation are then calculated, and the width of the additional orientation side is finally calculated.
It realizes efficient calculation of the width of any position of the speed-changing lane, improves the efficiency and accuracy of road width calculation, reduces manual operation, and improves the reliability and flexibility of the design.
Smart Images
Figure CN119580497A_ABST
Abstract
Description
Technical Field
[0001] The invention relates to the technical field of interchange design, and in particular to a method for calculating the width of a variable-speed lane of an interchange. Background Art
[0002] As one of the main traffic hub structures, the design of the interchange has an important impact on traffic efficiency and road safety. In the speed change lane, the main line and the ramp merge and diverge, and the outer side width of the main line changes with the direction of the ramp and the change of the outer side width. The coordinates of the outer edge of the main line width cannot be directly calculated using the plane parameters and width parameters of the route itself.
[0003] In design scenarios such as the layout of the upper structure of interchange bridges and the calculation of pavement engineering quantities, since it is difficult to directly calculate the width of the main line in the speed change lane, manual measurement, drawing, and frame drawing are usually performed on the CAD plan. Such operations are extremely labor-intensive and difficult to verify in terms of accuracy, resulting in outstanding problems such as low efficiency, easy errors, and difficulty in making changes. Summary of the invention
[0004] In view of the above-mentioned deficiencies in the prior art, the present invention provides a method for calculating the width of a variable-speed lane of an interchange.
[0005] In order to achieve the above-mentioned object of the invention, the technical solution adopted by the present invention is: A method for calculating the width of a variable-speed lane of an interchange comprises the following steps: Divide the ramp within the speed change section of the interchange speed change lane into characteristic sections and generate a ramp edge sequence; Calculate the speed change section pile number, main and slave route directions, additional orientation and additional orientation according to route design parameters; According to the speed change section pile number, the main and slave route directions, the additional orientation and the additional orientation, the coordinates of the intersection point between the normal line of the main line pile number and the ramp edge line on the additional orientation side are calculated; The road width on the additional azimuth side is calculated based on the coordinates of the intersection of the normal line of the main line pile number and the ramp edge line on the additional azimuth side.
[0006] As a preferred embodiment, the ramp within the speed change section of the interchange speed change lane is divided into characteristic sections to generate a ramp edge line sequence, specifically including: For the ramps within the speed change section of the speed change lane of the interchange, the edge line coordinates of the added azimuth side are calculated according to the set step length; Generate a ramp edge sequence based on the edge coordinates of the attached orientation side.
[0007] Preferably, calculating the speed change section pile number specifically includes: According to the ramp pile number and coordinate point at the junction, the foot of the ramp pile number on the main line element is calculated by using the binary method to obtain the corresponding main line junction pile number. According to the plane line element parameters of the main line and the ramp, the improved dichotomy method is used to calculate the main line small nose endpoint pile number and the main line large nose endpoint pile number as well as the small nose endpoint pile number and large nose endpoint pile number corresponding to the ramp.
[0008] Preferably, calculating the master-slave route directions specifically includes: According to the information of the main and slave routes, the direction vector from the main line with small mileage to large mileage and the direction vector from the ramp with small mileage to large mileage are constructed, which can be expressed as:
[0009]
[0010] in, is the direction vector from small mileage to large mileage of the main line, is the direction vector from small mileage to large mileage of the ramp, It is the small nose endpoint of the main line. As the main line big nose endpoint, is the pile number of the small nose end point of the main line, is the main line big nose end point pile number, is the small nose point of the ramp, is the ramp nose endpoint, is the ramp nose end point pile number, It is the ramp nose end point pile number; The direction of the main and slave routes is determined according to the direction vector from the main line from small mileage to large mileage and the direction vector from the ramp from small mileage to large mileage, which is expressed as:
[0011] in, Direction of the master and slave routes.
[0012] Preferably, calculating the additional orientation specifically includes: According to the nose information of the main and slave routes, the direction vector and the azimuth auxiliary vector of the main line are constructed, which can be expressed as:
[0013]
[0014] in, is the direction vector from small mileage to large mileage of the main line, It is the small nose endpoint of the main line. As the main line big nose endpoint, is the pile number of the small nose end point of the main line, is the main line big nose end point pile number, is the auxiliary vector of orientation, is the small nose point of the ramp, It is the nose end point of the ramp; The direction vector of the main line is cross-multiplied with the auxiliary azimuth vector to determine the additional azimuth, which is expressed as:
[0015] in, For additional location.
[0016] Preferably, calculating the additional position specifically includes: Multiply the master and slave route directions by the additional orientation to determine the additional orientation, expressed as:
[0017] in, To be attached, For the master-slave route direction, For additional location.
[0018] As a preferred method, the coordinates of the intersection of the main line pile number normal line and the ramp edge line on the additional orientation side are calculated according to the speed change section pile number, the main and slave route directions, the additional orientation and the additional orientation, specifically including: According to the speed change section pile number, the main and slave route directions, the additional orientation and the additional orientation, the coordinates of two adjacent points where the normal line of the main line pile number intersects with the ramp edge line on the additional orientation side are calculated; According to the coordinates of two adjacent points where the normal line of the main line pile number intersects with the ramp sideline on the additional azimuth side, the coordinates of the intersection point of the normal line of the main line pile number and the ramp sideline on the additional azimuth side are calculated.
[0019] The present invention has the following beneficial effects: The present invention divides the characteristic sections of the interchange connection part, calculates the characteristic point pile number, the main and slave route directions, the additional orientation and the additional orientation according to the route design parameters, and realizes the calculation of the width of the speed change lane at any position, thereby improving the efficiency and accuracy of the road width calculation. BRIEF DESCRIPTION OF THE DRAWINGS
[0020] Figure 1 A schematic diagram of a flow chart of a method for calculating the width of a variable-speed lane of an interchange; Figure 2 This is a schematic diagram of the speed change lane structure; Figure 3 Schematic diagram of the position relationship of the diverging and converging points; Figure 4 Schematic diagram of the foot of the perpendicular from a point to the midline for the bisection method; Figure 5 This is a schematic diagram of nose tip calculation; Figure 6It is a schematic diagram of direction and orientation combination; Figure 7 Schematic diagram for solving the width of any pile in the speed change lane. DETAILED DESCRIPTION
[0021] The specific implementation modes of the present invention are described below to facilitate those skilled in the art to understand the present invention. However, it should be clear that the present invention is not limited to the scope of the specific implementation modes. For those of ordinary skill in the art, as long as various changes are within the spirit and scope of the present invention as defined and determined by the attached claims, these changes are obvious, and all inventions and creations utilizing the concept of the present invention are protected.
[0022] like Figure 1 As shown, an embodiment of the present invention provides a method for calculating the width of a variable-speed lane of an interchange, comprising the following steps S1 to S4: S1. Divide the ramp within the speed change section of the interchange speed change lane into characteristic sections to generate a ramp edge line sequence; In an optional embodiment of the present invention, the speed change lane is an additional lane connecting the main line and the ramp in the interchange, and vehicles perform speed change, divergence, merging and lane transfer operations in this section. The deceleration lane is located at the divergence connection, and the acceleration lane is located at the merging connection. The speed change lane consists of a gradient section, a speed change section and a nose end. When the lane is unbalanced, it also includes an auxiliary lane, such as Figure 2 shown.
[0023] Among the above parts, the width of the auxiliary lane, the gradient section, and the nose can be obtained by changing the standard width of the main line in a certain widening form. The width of the speed change section needs to be obtained by solving a series of parameters such as the coordinates of the main line and the side piles in the ramp.
[0024] Step S1 divides the ramp within the speed change section of the interchange speed change lane into characteristic sections to generate a ramp edge line sequence, specifically including: For the ramps within the speed change section of the speed change lane of the interchange, the edge line coordinates of the added azimuth side are calculated according to the set step length; Generate ramp edge sequence based on edge coordinates of attached orientation side .
[0025] S2. Calculate the speed change section pile number, the main and slave route directions, the additional orientation and the additional orientation according to the route design parameters; In an optional embodiment of the present invention, the starting and ending range of the deceleration section is from the starting point of the deceleration lane to the small nose end, and the starting and ending range of the acceleration section is from the small nose end to the end point of the acceleration lane. In this paper, the starting point of the deceleration lane is defined as the diverging point, and the end point of the acceleration lane is defined as the merging point. Therefore, solving the speed change section pile number range is to solve the diverging (merging) point pile number and the nose end pile number.
[0026] In this embodiment, when calculating the stake number of the diverging (merging) point, the stake number and coordinate point of the ramp at the diverging (merging) point are calculated. , calculate the foot of its perpendicular to the main line element , that is, to obtain the corresponding main line branch (merge) point pile number ,like Figure 3 shown.
[0027] The process of solving the pile number from the known points outside the line is also called pile number back calculation. This embodiment adopts the binary calculation method, such as Figure 4 The algorithm steps are as follows: The point to be found outside the line is The starting and ending points of the horizontal curve are and , please To flat curve The vertical foot The coordinates and stake number of 0. Take a flat curve Middle station point , past Draw a tangent line along the direction of the route and its intersection with The angle between the points is ,like , then the foot lie in and Between points, take and The middle pile number As the next bisection point, repeat the above algorithm until and Spacing meets accuracy requirements , that is, to find the foot point and its corresponding pile number. , then the foot lie in and Between points, take and The middle pile number The algorithm is the same for the next bisection point.
[0028] In this embodiment, when calculating the nose pile numbers, the main line nose end point can be calculated according to the plane line element parameters of the main line and the ramp according to the improved dichotomy method. (Pile No. and the main line big nose endpoint (Pile No. ), and the corresponding small nose end point of the ramp (Pile No. and large nose point (Pile No. ,like Figure 5 shown.
[0029] In this embodiment, the direction of the main and slave routes refers to the direction relationship between the main line and the ramp within the connection area. The main line direction vector from small mileage to large mileage is constructed using the calculated main and slave route big and small nose information. m and the ramp direction vector from small mileage to large mileage n It is expressed as:
[0030]
[0031] in, is the direction vector from small mileage to large mileage of the main line, is the direction vector from small mileage to large mileage of the ramp, It is the small nose endpoint of the main line. As the main line big nose endpoint, is the pile number of the small nose end point of the main line, is the main line big nose end point pile number, is the small nose point of the ramp, is the ramp nose endpoint, is the ramp nose end point pile number, It is the ramp nose end point pile number; like Figure 6 As shown in Figure 1, there are 8 combinations of the direction of the main line and ramp, the position relationship between the left and right sides, and the state of merging and dividing. m With vector n When the angle is acute, the master and slave routes are in the same direction. When the angle is obtuse, the master and slave routes are in opposite directions. This is irrelevant to the position relationship between the left and right sides and the state of the divergence and confluence. R Vector m · n The positive and negative sign of the dot product result is determined as follows:
[0032] in, Direction of the master and slave routes.
[0033] In addition to the above vector calculation method, the trend of the main line and the ramp nose can also be used for calculation: if the difference in pile numbers of the main line nose and the ramp nose is the same, then the two are in the same direction, otherwise they are in opposite directions. The calculation formula is as follows:
[0034] In this embodiment, the additional orientation refers to the orientation of the ramp on the main line within the connection area. The direction vectors of the main line are constructed respectively using the information of the main and slave routes calculated above. mThe auxiliary vectors of the orientation of o It is expressed as:
[0035]
[0036] in, is the direction vector from small mileage to large mileage of the main line, It is the small nose endpoint of the main line. As the main line big nose endpoint, is the stake number of the small nose end point of the main line, is the main line big nose end point pile number, is the auxiliary vector of orientation, is the small nose point of the ramp, It is the nose end point of the ramp; Then add the position Sa Vector m o The positive and negative signs of the cross product results are directly determined and expressed as:
[0037] in, For additional location. Sa A value of 1 indicates that the speed change lane and the additional ramp are located on the right side of the main line, and -1 indicates that the speed change lane and the additional ramp are located on the left side of the main line.
[0038] In this embodiment, the additional position refers to the side of the connecting part where the ramp is provided to the main line as a speed change lane. Figure 6 The analysis of the combination of the two shows that: ① The main and the secondary routes are in the same direction, the ramp is located on the right side of the main line, and the additional direction is on the right side ( Figure 6 a. Figure 6 b);② The main and subordinate routes are in the same direction, and the ramp is located on the left side of the main line, and the additional direction is the left side ( Figure 6 c. Figure 6 d); ③ The main and slave routes are reversed, the ramp is located on the right side of the main line, and the additional direction is the left side ( Figure 6 e. Figure 6 f); ④ The main and subordinate routes are reversed, the ramp is located on the left side of the main line, and the additional direction is the right side ( Figure 6 g. Figure 6 h).
[0039] Therefore, the additional direction is determined by the direction of the main and slave routes and the additional direction, and is independent of the divergence and confluence state. The calculation formula is as follows:
[0040] in, To be attached, For the master-slave route direction, For additional location. A value of 1 means that the right side of the ramp will be added as a speed change lane. A value of -1 indicates that the left side of the ramp is added.
[0041] S3, calculating the coordinates of the intersection of the main line pile number normal line and the ramp side line on the additional direction side according to the speed change section pile number, the main and slave route directions, the additional direction and the added direction; In an optional embodiment of the present invention, step S3 calculates the coordinates of the intersection of the main line pile number normal line and the ramp edge line on the additional orientation side according to the speed change section pile number, the main and slave route directions, the additional orientation and the additional orientation, specifically including: According to the speed change section pile number, the main and slave route directions, the additional orientation and the additional orientation, the coordinates of two adjacent points where the normal line of the main line pile number intersects with the ramp edge line on the additional orientation side are calculated; According to the coordinates Ti and Ti+1 of the two adjacent points where the normal line of the main line pile number intersects with the ramp edge line on the additional azimuth side, the coordinate T of the intersection point of the normal line of the main line pile number and the ramp edge line on the additional azimuth side is calculated, as follows: Figure 7 shown.
[0042] S4. Calculate the road width on the additional azimuth side based on the coordinates of the intersection of the main line pile number normal line and the ramp edge line on the additional azimuth side.
[0043] The present invention aims to solve the prominent problems of low efficiency, easy errors and difficult changes in design scenarios such as bridge superstructure layout. By dividing the characteristic sections of the interchange connection part, the characteristic point pile number, main and slave route directions, additional orientation and attached orientation are calculated according to the route design parameters, and the width of the speed change lane at any position can be calculated. The graphics are driven by data to empower the digitalization of the project.
[0044] The present invention is described with reference to flowcharts and / or block diagrams of methods, devices (systems), and computer program products according to embodiments of the present invention. It should be understood that each process and / or block in the flowchart and / or block diagram, as well as the combination of processes and / or blocks in the flowchart and / or block diagram, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, a special-purpose computer, an embedded processor, or other programmable data processing device to produce a machine, so that the instructions executed by the processor of the computer or other programmable data processing device generate instructions for implementing the processes in the flowchart and / or block diagram. Figure 1 A process or multiple processes and / or boxes Figure 1 A device that provides the functions specified in a block or multiple blocks.
[0045] These computer program instructions may also be stored in a computer-readable memory capable of directing a computer or other programmable data processing device to operate in a specific manner, so that the instructions stored in the computer-readable memory produce an article of manufacture comprising an instruction device, which implements the process Figure 1 A process or multiple processes and / or boxes Figure 1 A function specified in one or more boxes.
[0046] These computer program instructions can also be loaded onto a computer or other programmable data processing device so that a series of operating steps are executed on the computer or other programmable device to produce a computer-implemented process, thereby providing instructions for implementing the process. Figure 1 A process or multiple processes and / or boxes Figure 1 The steps for the functions specified in one or more boxes.
[0047] The present invention uses specific embodiments to illustrate the principles and implementation methods of the present invention. The description of the above embodiments is only used to help understand the method of the present invention and its core idea. At the same time, for those skilled in the art, according to the idea of the present invention, there will be changes in the specific implementation methods and application scope. In summary, the content of this specification should not be understood as a limitation on the present invention.
[0048] Those skilled in the art will appreciate that the embodiments described herein are intended to help readers understand the principles of the present invention, and should be understood that the protection scope of the present invention is not limited to such specific statements and embodiments. Those skilled in the art can make various other specific variations and combinations that do not deviate from the essence of the present invention based on the technical revelations disclosed by the present invention, and these variations and combinations are still within the protection scope of the present invention.
Claims
1. A method for calculating the width of a variable-speed lane of an interchange, characterized in that: The following steps are involved: Divide the ramp within the speed change section of the interchange speed change lane into characteristic sections and generate a ramp edge sequence; Calculate the speed change section pile number, main and slave route directions, additional orientation and additional orientation according to route design parameters; According to the speed change section pile number, the main and slave route directions, the additional orientation and the additional orientation, the coordinates of the intersection point between the normal line of the main line pile number and the ramp edge line on the additional orientation side are calculated; The road width on the additional azimuth side is calculated based on the coordinates of the intersection of the normal line of the main line pile number and the ramp edge line on the additional azimuth side.
2. The method for calculating the width of a variable-speed lane of an interchange according to claim 1, characterized in that: The ramp within the speed change section of the interchange speed change lane is divided into characteristic sections to generate a ramp edge line sequence, including: For the ramps within the speed change section of the speed change lane of the interchange, the edge line coordinates of the added azimuth side are calculated according to the set step length; Generate a ramp edge sequence based on the edge coordinates of the attached orientation side.
3. The method for calculating the width of a speed-changing lane of an interchange according to claim 1, characterized in that: Calculation of speed change section pile number specifically includes: According to the ramp pile number and coordinate point at the junction, the foot of the ramp pile number on the main line element is calculated by using the binary method to obtain the corresponding main line junction pile number. According to the plane line element parameters of the main line and the ramp, the improved dichotomy method is used to calculate the main line small nose endpoint pile number and the main line large nose endpoint pile number as well as the small nose endpoint pile number and large nose endpoint pile number corresponding to the ramp.
4. The method for calculating the width of a variable-speed lane of an interchange according to claim 1, characterized in that: Calculating the master-slave route direction specifically includes: According to the information of the main and slave routes, the direction vector from the main line with small mileage to large mileage and the direction vector from the ramp with small mileage to large mileage are constructed, which can be expressed as: in, is the direction vector from small mileage to large mileage of the main line, is the direction vector from small mileage to large mileage of the ramp, It is the small nose endpoint of the main line. As the main line big nose endpoint, is the pile number of the small nose end point of the main line, is the main line big nose end point pile number, is the small nose point of the ramp, is the ramp nose endpoint, is the ramp nose end point pile number, It is the ramp nose end point pile number; The direction of the main and slave routes is determined according to the direction vector from the main line from small mileage to large mileage and the direction vector from the ramp from small mileage to large mileage, which is expressed as: in, Direction of the master and slave routes.
5. The method for calculating the width of a variable-speed lane of an interchange according to claim 1, characterized in that: Calculating the additional orientation specifically includes: According to the nose information of the main and slave routes, the direction vector and the azimuth auxiliary vector of the main line are constructed, which can be expressed as: in, is the direction vector from small mileage to large mileage of the main line, It is the small nose endpoint of the main line. As the main line big nose endpoint, is the pile number of the small nose end point of the main line, is the main line big nose end point pile number, is the auxiliary vector of orientation, is the small nose point of the ramp, It is the nose end point of the ramp; The direction vector of the main line is cross-multiplied with the auxiliary azimuth vector to determine the additional azimuth, which is expressed as: in, For additional location.
6. The method for calculating the width of a variable-speed lane of an interchange according to claim 1, characterized in that: Calculating the attached position specifically includes: Multiply the master and slave route directions by the additional orientation to determine the additional orientation, expressed as: in, To be attached, For the master-slave route direction, For additional location.
7. The method for calculating the width of a variable-speed lane of an interchange according to claim 1, characterized in that: According to the speed change section pile number, the main and slave route directions, the additional orientation and the additional orientation, the coordinates of the intersection point between the main line pile number normal line and the ramp edge line on the additional orientation side are calculated, including: According to the speed change section pile number, the main and slave route directions, the additional orientation and the additional orientation, the coordinates of two adjacent points where the normal line of the main line pile number intersects with the ramp edge line on the additional orientation side are calculated; According to the coordinates of two adjacent points where the normal line of the main line pile number intersects with the ramp sideline on the additional azimuth side, the coordinates of the intersection point of the normal line of the main line pile number and the ramp sideline on the additional azimuth side are calculated.