A method and system for reducing error in track curve layout modeling

Abstract

The present invention provides an error reduction method and system for track curve layout modeling, which relates to the field of spatial modeling technology, including: obtaining a layout data set of control point A, and obtaining a spatial coordinate data set of control point A through calculation of the layout data set; using the spatial coordinate data set of control point A, using a binary calculation to obtain a spatial coordinate data set of control point B actually on the curve; constructing a curve layout model of the track plate through the spatial coordinate data set of control point A and the spatial coordinate data set of control point B actually on the curve, and performing curve layout operations of the track plate through the curve layout model. The present invention uses the spatial coordinate data set of control point A to obtain a spatial coordinate data set of control point B actually on the curve through binary calculation, reduces the error between curve layout modeling and actual calculation to below a preset value, significantly improves the design accuracy and construction efficiency of curve layout, and reduces construction errors.

Description

Technical Field

[0001] The present invention relates to the technical field of space modeling, and in particular to a method and system for reducing errors in track curve layout modeling. Background Art

[0002] During the construction and positioning of rail transit projects, since 3D modeling is driven by data, data calculation is processed in an idealized state, and when encountering curved sections, straight lines are used instead of curves. This will result in errors between the actual modeling of the curved sections and the modeling data calculated by the system.

[0003] However, existing modeling methods often fail to take into account the error between curve layout modeling and actual calculation when modeling track curve layout, resulting in errors between the track slab and the modeling design when the track slab is laid out on the curve, making the curve layout insufficiently accurate and the line construction inefficient. Summary of the invention

[0004] In view of this, the purpose of the present invention is to provide an error reduction method and system for track curve layout modeling, which is used to solve the technical problem that the existing modeling method does not take into account the error between curve layout modeling and actual calculation when modeling track curve layout, resulting in insufficient accuracy of curve layout.

[0005] The present invention provides a method for reducing the error of track curve layout modeling, comprising the steps of:

[0006] S1: Set the control point A of the track plate on the curve, obtain the layout data set of the control point A, and obtain the spatial coordinate data set of the control point A through calculation of the layout data set;

[0007] S2: Using the spatial coordinate data set of control point A, the actual spatial coordinate data set of control point B on the curve is obtained by using the dichotomy method;

[0008] S3: constructing a curved layout model of the track slab through the spatial coordinate data set of the control point A and the spatial coordinate data set of the control point B actually on the curve, and performing the curved layout operation of the track slab through the curved layout model.

[0009] Preferred:

[0010] Control point A is the center point of the second rail support of the track plate, and control point B is the center point of the penultimate rail support of the track plate. Both control point A and control point B need to be on the curve.

[0011] Preferred:

[0012] The layout data set of control point A includes: track starting mileage S0, track plate length L, distance from the top of the inner rail to the top of the rail support platform Lngdh , Track superelevation Δh at the corresponding mileage of control point A A , rail top distance Lgd, slope value slopeA of control point A, mileage S of control point A A and the offset Apj from the control point A;

[0013] MileageS A The calculation formula is: A =S0+L;

[0014] The calculation formula of the offset Apj is:

[0015] Preferred:

[0016] The spatial coordinate data set of control point A includes: the coordinates of control point A (x A ,y A ), the height h of control point A A , the superelevation rotation angle Ang of the track plate and the AB projection length L AB ;

[0017] The coordinates of control point A (x A ,y A ) by Mileage S A Substitute into the coordinate system and obtain;

[0018] Height h A The calculation formula is:

[0019]

[0020] The calculation formula of the superelevation rotation angle Ang of the track plate is:

[0021]

[0022] AB projection length L AB The calculation formula is:

[0023]

[0024] Among them, L AB实际长度 is the actual length between control point A and control point B.

[0025] Preferred:

[0026] The actual spatial coordinate data set of control point B on the curve includes: the coordinates of control point B (x B ,y B ), the mileage S of control point B B and the height h of control point B B .

[0027] Preferably, step S2 specifically comprises:

[0028] S21: Get the coordinates of control point A (x A ,y A ), set the range of control point B to [B1, B2];

[0029] S22: Constructing the objective function Where L AB is the projection length of AB;

[0030] S23: Set the center point of the range of control point B as point M, and set the coordinates of point M (x M ,y M ) is substituted into the objective function;

[0031] S24: If or Then update the range of control point B to [(B1+B2)*0.5,B2], and return to step S23; otherwise, update the coordinates (x M ,y M ) as the coordinates of control point B (x B ,y B ), proceed to step S25;

[0032] S25: Through the coordinates of control point B (x B ,y B ) Get the mileage S of control point B B , the mileage S B Substitute into the coordinate system to obtain the elevation h of control point B B .

[0033] A storage medium stores instructions and data for implementing the error reduction method for track curve layout modeling.

[0034] A system for reducing errors in track curve layout modeling includes: a processor and a storage medium; the processor loads and executes instructions and data in the storage medium to implement the method for reducing errors in track curve layout modeling.

[0035] The present invention has the following beneficial effects:

[0036] Through the spatial coordinate data set of control point A, the actual spatial coordinate data set of control point B on the curve is obtained by bisection calculation, and the error between curve layout modeling and actual calculation is reduced to below the preset value, which significantly improves the design accuracy and construction efficiency of curve layout and reduces construction errors.

[0037] The curved layout model of the track slab is constructed by using the spatial coordinate data set of control point A and the spatial coordinate data set of control point B actually on the curve, so that the curved layout model integrates all the information of track design, which is convenient for information sharing and collaborative work in subsequent construction, operation and maintenance and other links.

[0038] During operation, you only need to input the layout data set of control point A to output the curve layout model, realize the automatic construction of the curve layout model, reduce the risk of manual calculation, and improve efficiency. BRIEF DESCRIPTION OF THE DRAWINGS

[0039] Figure 1 This is a flow chart of a method according to an embodiment of the present invention;

[0040] Figure 2 This is a schematic diagram of elevation calculation;

[0041] Figure 3 A schematic diagram showing the error between curve layout modeling and actual calculation;

[0042] Figure 4 Schematic diagram of coordinate calculation of control point B;

[0043] Figure 5 This is a system structure diagram of an embodiment of the present invention;

[0044] The realization of the purpose, functional features and advantages of the present invention will be further explained in conjunction with embodiments and with reference to the accompanying drawings. DETAILED DESCRIPTION

[0045] It should be understood that the specific embodiments described herein are only used to explain the present invention, and are not used to limit the present invention.

[0046] Reference Figure 1 The present invention provides a method for reducing the error of track curve layout modeling, comprising the steps of:

[0047] S1: Set the control point A of the track plate on the curve, obtain the layout data set of the control point A, and obtain the spatial coordinate data set of the control point A through calculation of the layout data set;

[0048] Furthermore, control point A is the center point of the second rail support of the track plate, and control point B is the center point of the penultimate rail support of the track plate. Both control point A and control point B need to be on the curve.

[0049] Specifically, the curve is the center line of the track. During construction positioning, control point A and control point B need to always be on the center line of the track.

[0050] Further:

[0051] The layout data set of control point A includes: track starting mileage S0, track plate length L, distance from the top of the inner rail to the top of the rail support platform L ngdh , Track superelevation Δh at the corresponding mileage of control point A A , rail top distance Lgd, slope value slopeA of control point A, mileage S of control point A A and the offset Apj from the control point A;

[0052] MileageS A The calculation formula is: A =S0+L;

[0053] The calculation formula of the offset Apj is:

[0054] Specifically, the distance L from the top of the inner rail to the top of the rail support platform is ngdh Obtained by adding the distance of the rails and the distance of the fasteners.

[0055] Furthermore,

[0056] The spatial coordinate data set of control point A includes: the coordinates of control point A (x A ,y A ), the height h of control point A A , the superelevation rotation angle Ang of the track plate and the AB projection length L AB ;

[0057] The coordinates of control point A (x A ,y A ) by Mileage S A Substitute into the coordinate system and obtain;

[0058] Specifically, the elevation is calculated as follows: Figure 2 As shown by Figure 2 The relationship between the line segments in can be obtained as follows:

[0059] Further simplify the calculation formula of the available elevation;

[0060] Height h A The calculation formula is:

[0061]

[0062] The calculation formula of the superelevation rotation angle Ang of the track plate is:

[0063]

[0064] AB projection length L AB The calculation formula is:

[0065]

[0066] Among them, L AB实际长度 is the actual length between control point A and control point B.

[0067] S2: Using the spatial coordinate data set of control point A, the actual spatial coordinate data set of control point B on the curve is obtained by using the dichotomy method;

[0068] Furthermore,

[0069] The actual spatial coordinate data set of control point B on the curve includes: the coordinates of control point B (x B ,y B ), the mileage S of control point B B and the height h of control point B B .

[0070] Further, such as Figure 3 As shown in the figure, the control point B obtained by calculation during modeling in the curved section will have an error with the actual calculation result. Figure 3 In the figure, a 4.74-meter-long track plate is placed on a circular arc curve with a radius of 300 meters. Points A and B of the track plate are on the curve. Figure 3 It can be seen that the actual length of point AB on the curve is larger than the length of AB itself.

[0071] If the length of point AB is Lab and the radius of the curve R is 300 meters, we can deduce the actual occupied line length (Lsj). The following is the specific derivation formula:

[0072] Step N1: Connect point A, point B and the center point of the curve to form an isosceles triangle;

[0073] Step N2: Find the base angle α of the isosceles triangle

[0074]

[0075] Step N3: Find the vertex angle θ of the isosceles triangle

[0076] θ=π-2*α

[0077]

[0078] Step N4: Find the arc length corresponding to the vertex angle, which is the actual occupied line length Lsj

[0079]

[0080] Step N5: Through the formula derived from steps N1 to N4, it can be concluded that the length of the 4.74m plate on the 300m radius circular curve is 4.740049305m, with an error of 0.049mm. If you want to reduce the error between the calculated AB length and the actual AB length to within 0.001mm, you can use step S2 to reduce the error between the control point B obtained during modeling and the actual calculation result;

[0081] Step S2 is specifically as follows:

[0082] S21: Get the coordinates of control point A (x A ,y A ), set the range of control point B to [B1, B2];

[0083] Specifically, the range [B1, B2] of control point B satisfies the following conditions:

[0084]

[0085] S22: Constructing the objective function Where L AB is the projection length of AB;

[0086] S23: Set the center point of the range of control point B as point M, and set the coordinates of point M (x M ,y M ) into the objective function;

[0087] S24: If or Then update the range of control point B to [(B1+B2)*0.5,B2], and return to step S23; otherwise, update the coordinates (x M ,y M ) as the coordinates of control point B (x B ,y B ), proceed to step S25;

[0088] Specifically, Figure 3 , repeat steps S23-S24 until Get the coordinates of point B. The coordinate calculation diagram of control point B is as follows Figure 4 As shown;

[0089] S25: Through the coordinates of control point B (x B ,y B ) Get the mileage S of control point B B , the mileage S B Substitute into the coordinate system to obtain the elevation h of control point B B .

[0090] S3: constructing a curved layout model of the track slab through the spatial coordinate data set of the control point A and the spatial coordinate data set of the control point B actually on the curve, and performing the curved layout operation of the track slab through the curved layout model.

[0091] Specifically, the curved layout model of the track slab is implemented using the BIM (Building Information Modeling) model construction system. The automatic data of different elements on the track line, such as the track slab, rails, fasteners, turnout ballast, air-raid doors, and fire-fighting water pipes, as well as the spatial coordinate data set of control point A and the spatial coordinate data set of control point B are input into the BIM model construction system. By integrating advanced computing algorithms and BIM technology, the automation, intelligence, and visualization of the curved layout design are achieved. Through advanced automated computing algorithms, the automated layout design calculation of the track slab in the complex rail network and the BIM construction of rails, turnout ballast, air-raid doors, and fire-fighting water pipes are realized, which greatly improves the efficiency and safety of rail transit construction and maintenance.

[0092] See also Figure 5 The present invention provides an error reduction system 401, a processor 402 and a storage medium 403 for track curve layout modeling.

[0093] A system 401 for reducing errors in track curve layout modeling: The system 401 for reducing errors in track curve layout modeling implements the method for reducing errors in track curve layout modeling.

[0094] Processor 402: The processor 402 loads and executes the instructions and data in the storage medium 403 to implement the error reduction method for track curve layout modeling.

[0095] Storage medium 403: The storage medium 403 stores instructions and data; the storage medium 403 is used to implement the error reduction method for track curve layout modeling.

[0096] It should be noted that, in this article, the terms "include", "comprises" or any other variations thereof are intended to cover non-exclusive inclusion, so that a process, method, article or system including a series of elements includes not only those elements, but also other elements not explicitly listed, or also includes elements inherent to such process, method, article or system. In the absence of further restrictions, an element defined by the sentence "comprises a ..." does not exclude the existence of other identical elements in the process, method, article or system including the element.

[0097] The serial numbers of the embodiments of the present invention are for descriptive purposes only and do not represent the superiority or inferiority of the embodiments. In a unit claim that lists several means, several of these means may be embodied by the same hardware item. The use of the words first, second, and third, etc. does not indicate any order and these words may be interpreted as identifiers.

[0098] The above are only preferred embodiments of the present invention, and are not intended to limit the patent scope of the present invention. Any equivalent structure or equivalent process transformation made using the contents of the present invention specification and drawings, or directly or indirectly applied in other related technical fields, are also included in the patent protection scope of the present invention.

Claims

1. A method for reducing the error of track curve layout modeling, characterized in that: Includes steps: S1: Set the control point A of the track plate on the curve, obtain the layout data set of the control point A, and obtain the spatial coordinate data set of the control point A through calculation of the layout data set; S2: Using the spatial coordinate data set of control point A, the actual spatial coordinate data set of control point B on the curve is obtained by using the dichotomy method; S3: constructing a curved layout model of the track slab through the spatial coordinate data set of the control point A and the spatial coordinate data set of the control point B actually on the curve, and performing the curved layout operation of the track slab through the curved layout model.

2. The method for reducing the error of track curve layout modeling according to claim 1, characterized in that: Control point A is the center point of the second rail support of the track plate, and control point B is the center point of the penultimate rail support of the track plate. Both control point A and control point B need to be on the curve.

3. The error reduction method for track curve layout modeling according to claim 1 is characterized by: The layout data set of control point A includes: track starting mileage S0, track plate length L, distance from the top of the inner rail to the top of the rail support platform L ngdh , Track superelevation Δh at the corresponding mileage of control point A A , rail top distance Lgd, slope value slopeA of control point A, mileage S of control point A A and the offset Apj from the control point A; MileageS A The calculation formula is: A =S0+L; The calculation formula of the offset Apj is:

4. The method for reducing the error of track curve layout modeling according to claim 3 is characterized in that: The spatial coordinate data set of control point A includes: the coordinates of control point A (x A ,y A ), the height h of control point A A , the superelevation rotation angle Ang of the track plate and the AB projection length L AB ; The coordinates of control point A (x A ,y A ) by Mileage S A Substitute into the coordinate system and obtain; Height h A The calculation formula is: The calculation formula of the superelevation rotation angle Ang of the track plate is: AB projection length L AB The calculation formula is: Among them, L AB实际长度 is the actual length between control point A and control point B.

5. The error reduction method for track curve layout modeling according to claim 1 is characterized by: The actual spatial coordinate data set of control point B on the curve includes: the coordinates of control point B (x B ,y B ), the mileage S of control point B B and the height h of control point B B .

6. The method for reducing the error of track curve layout modeling according to claim 5 is characterized in that: Step S2 is specifically as follows: S21: Get the coordinates of control point A (x A ,y A ), set the range of control point B to [B1, B2]; S22: Constructing the objective function Where L AB is the projection length of AB; S23: Set the center point of the range of control point B as point M, and set the coordinates of point M (x M ,y M ) into the objective function; S24: If ≥ preset error, then update the range of control point B to [(B1+B2)*0.5,B2], and return to step S23; otherwise, update the coordinates (x M ,y M ) as the coordinates of control point B (x B ,y B ), proceed to step S25; S25: Through the coordinates of control point B (x B ,y B ) Get the mileage S of control point B B , the mileage S B Substitute into the coordinate system to obtain the elevation h of control point B B .

7. A storage medium, characterized in that: The storage medium stores instructions and data for implementing the error reduction method for track curve layout modeling as described in any one of claims 1 to 6.

8. A system for reducing the error of track curve layout modeling, characterized by: include: A processor and a storage medium; the processor loads and executes instructions and data in the storage medium to implement the error reduction method for track curve layout modeling as described in any one of claims 1 to 6.

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