A high-speed maglev track positioning design method

Abstract

The present application relates to the technical field of high-speed maglev railway construction, in particular to a high-speed maglev track positioning design method, comprising the following steps: a high-speed maglev line is divided into n single-line type line units, and a local coordinate system is created at the starting point of each line unit; a whole space curve equation set SC of the high-speed maglev line is obtained according to the line type equation of each line unit; the position coordinates K'=(X ik ,Y ik ,Z ik ,α ik ,β ik ,γ ik ) of the positioning point k of the track component of the i-th line unit in the corresponding local coordinate system are converted into the position coordinates K=(X k ,Y k ,Z k ,α k ,β k ,γ k ) in the global coordinate system; and the track components are arranged according to the position coordinates in the global coordinate system of the corresponding positioning points, and the positioning design of the high-speed maglev track is completed. The present positioning design method solves the problem of the lack of accurate positioning coordinate information in the design of track components for high-speed maglev railway construction in the prior art.

Description

Technical Field

[0001] This invention relates to the technical field of high-speed maglev railway construction, and in particular to a high-speed maglev track positioning design method. Background Technology

[0002] High-speed maglev lines are designed for speeds exceeding 400 km / h and employ long stator drive technology. Functional components are connected to the track beams via bolts, providing load-bearing and guiding functions. The stator, installed inside the functional components, provides levitation and driving functions. High-speed maglev lines are constructed by orderly splicing track beams of a certain length, functional components, and the stator according to theoretical spatial curves, resulting in high smoothness. To improve the smoothness of high-speed maglev lines, compared to traditional railways, two relatively special transition curves—a sine wave and a single-wave sine wave—are used. These transition curves, compared to traditional cubic parabolic transition curves, ensure continuous function values ​​at different line transition points. However, the function expression is extremely complex, belonging to multi-layered composite functions requiring integration. High-precision positioning of track components (functional components and the stator) is challenging, and construction is difficult. Furthermore, if the track beams, functional components, and stator are simply spliced ​​end-to-end, it will cause a significant deviation between the track components (functional components and stator) and the ideal spatial curve of the maglev line, failing to meet the high smoothness design requirements of high-speed maglev lines. To reduce the form and position deviations caused by the track beams and track components fitting the line with a straight line and to improve the line fitting effect, the track beams, functional components, and stator are arranged according to the "half-sagittal height" principle. When arranging the track components, the impact of factors such as temperature changes and magnetic field distribution on track engineering and vehicle operating performance must also be considered. It is evident that the design of a high-speed maglev system is a complex engineering project.

[0003] However, the design of track components for high-speed maglev railway construction in China lacks precise positioning coordinate information, which is detrimental to the precision control of the installation and construction of high-speed maglev functional components and stators. Summary of the Invention

[0004] The purpose of this invention is to solve the problem of the lack of precise positioning coordinate information in the design of track components for the construction of high-speed maglev railways in the existing technology, and to provide a high-speed maglev track positioning design method.

[0005] To achieve the above objectives, the technical solution adopted by the present invention is as follows:

[0006] A high-speed maglev track positioning design method includes the following steps:

[0007] High-speed maglev lines are classified according to their alignment. Each line segment is a single line type, and a local coordinate system is created at the starting point of each line segment.

[0008] Get the Linear equations of line segments ,in , obtain the Local coordinate system of line segment unit The coordinate axes relative to the global coordinate system Angles between corresponding coordinate axes , and ,according to , , and Obtain the overall spatial curve equations of high-speed maglev lines ;

[0009] According to the Positioning points of track components on section line unit To the corresponding local coordinate system origin Mileage along the direction of the high-speed maglev line , obtain the Positioning points of track components in a section of track Position coordinates in the corresponding local coordinate system ,in ,according to and the Positioning points of track components in a section of track To the origin of the global coordinate system Mileage ,Will Convert to position coordinates in the global coordinate system ,in It is a point Around the local coordinate system Angle of axis It is a point Around the local coordinate system Angle of axis It is a point Around the local coordinate system Angle of axis It is a point Around the global coordinate system Angle of axis It is a point Around the global coordinate system Angle of axis It is a point Around the global coordinate system Angle of the axis;

[0010] The track components of each line unit are arranged according to the position coordinates of their corresponding positioning points in the global coordinate system to complete the positioning design of the high-speed maglev track.

[0011] High-speed maglev lines include simple alignments such as straight lines, spiral transition curves, vertical curves, single-wave sinusoidal transition curves, or planar circular curves. A single alignment type refers to one of these types. When the alignment equation of a certain line segment is obtained, the starting and ending coordinates of that segment in the corresponding local coordinate system can also be obtained. According to the... Determination of key parameters such as alignment type, gradient, and length of a section of track. Find the solution. Afterwards, Sequential translation and rotation are used to obtain the local coordinate system and line type equations of other segments. The segmented linear equations form the overall spatial curve equation system of the high-speed maglev line. In obtaining the first Positioning points of track components in a section of track At that time, the first A track segment unit may contain at least one track component, but each track component requires corresponding positioning points. Positioning points of track components in a section of track To the origin of the global coordinate system Mileage That is, along the origin of the high-speed maglev line. To the location point The distance traveled. The positioning point. Coordinates in the local coordinate system Convert to coordinates in the global coordinate system through translation and rotation. At that time, based on the positioning point To the origin of the global coordinate system Mileage Determine the location point Need to be brought in Which segment, and thus perform coordinate transformation.

[0012] As a preferred embodiment of the present invention, the first Coordinate axes of the local coordinate system of a line segment unit , and and the corresponding local coordinate system The coordinate axes relative to the global coordinate system Angles between corresponding coordinate axes , and All by the first Linear equations of line segments Sure.

[0013] As a preferred embodiment of the present invention, in the case of Convert to First, determine the layout of the track components to determine their positioning points. Distance to the corresponding local coordinate system origin Mileage along the direction of the high-speed maglev line .

[0014] The layout scheme of the track components includes: the spacing between the positioning points of two adjacent track beams; the spacing between the positioning points of two adjacent functional components located within the same beam span; the spacing between the positioning points of two adjacent stators located within the same beam span; the spacing between the positioning points of two functional components located in two adjacent beam spans; and the spacing between the positioning points of two stators located in two adjacent beam spans.

[0015] As a preferred embodiment of the present invention, after arranging the track components of each line unit according to the position coordinates of the corresponding positioning points in the global coordinate system, the beam gaps of the track beam, the spacing between two adjacent functional components, and the spacing between two adjacent stators are checked to see if they meet the standard requirements. If they meet the standard requirements, the positioning design of the high-speed maglev track is completed; if they do not meet the standard requirements, the arrangement scheme of the track components is changed until the standard requirements are met.

[0016] Non-compliance with standard requirements includes: contact between the inner stators of the high-speed maglev track; beam gaps in the track beams smaller than specified; and spacing between adjacent functional components smaller than required. This is because the track component layout was determined based on positioning points, without considering the actual lengths of the stators, track beam functional components, and track beams; therefore, verification is necessary. When changing the track component layout, first modify the layout of the track components that do not meet the standard requirements. If other track components require adaptive modifications, those modifications should also be made accordingly.

[0017] As a preferred embodiment of the present invention, and During the conversion, among them and The relationship is:

[0018]

[0019] in, It is a translation matrix. To revolve around the global coordinate system The first rotation matrix of the axis, To revolve around the global coordinate system The second rotation matrix of the axis, To revolve around the global coordinate system The third rotation matrix of the axis.

[0020] at this time, and All are matrices.

[0021] As a preferred embodiment of the present invention, the first The local coordinate system at the starting point of a line segment revolves around the global coordinate system. Angle of axis , No. The local coordinate system at the starting point of a line segment revolves around the global coordinate system. Angle of axis and the The local coordinate system at the starting point of a line segment revolves around the global coordinate system. Angle of axis The results are obtained using the following formulas:

[0022]

[0023]

[0024]

[0025] in, This refers to the segment number of the high-speed maglev line. , Not greater than The largest integer, Not greater than The largest integer, Not greater than The largest integer.

[0026] As a preferred embodiment of the present invention , and The following formula can be used to obtain:

[0027]

[0028]

[0029]

[0030] in, Not greater than The largest integer, Not greater than The largest integer, Not greater than The largest integer, For the first The local coordinate system at the starting point of a line segment revolves around the global coordinate system. Angle of axis For the first The local coordinate system at the starting point of a line segment revolves around the global coordinate system. Angle of axis For the first The local coordinate system at the starting point of a line segment revolves around the global coordinate system. The angle of the axis.

[0031] As a preferred embodiment of the present invention, when the positioning point When the location point is the positioning point of the stator, the positioning point Located at the center of the high-speed maglev line, the positioning point Points on the inner track of the high-speed maglev line Calculated using the following formula:

[0032]

[0033] in, This refers to the track gauge of a high-speed maglev line. For point The transverse slope angle at which it is located, For high-speed maglev lines in The tangent of the line at that point Projection of the surface and The included angle of the axis.

[0034] Along the high-speed maglev line, from the origin of the global coordinate system To the Positioning points of track components in a section of track Proceed forward, using the left-hand rail as the inner rail. Because some stators need to be designed on both sides of the track, calculate the coordinates of points located on the inner rail of the high-speed maglev line to complete the stator design and positioning.

[0035] As a preferred embodiment of the present invention, when the positioning point When the location point is the positioning point of the stator, the positioning point Located at the center of the high-speed maglev line, the positioning point Points on the outer track of the high-speed maglev line Calculated using the following formula:

[0036]

[0037] in, This refers to the track gauge of a high-speed maglev line. For point The transverse slope angle at which it is located, For high-speed maglev lines in The tangent of the line at that point Projection of the surface and The included angle of the axis.

[0038] Along the high-speed maglev line, from the origin of the global coordinate system To the Positioning points of track components in a section of track Move forward, using the right-hand rail as the outer rail.

[0039] As a preferred embodiment of the present invention, the first Positioning points of track components in a section of track To the origin of the global coordinate system Mileage Obtained through the following formula:

[0040]

[0041] in, This refers to the section number of the high-speed maglev line. , For the first The length of the line segment unit, For positioning points To the origin of the corresponding local coordinate system Mileage.

[0042] In summary, due to the adoption of the above technical solution, the beneficial effects of the present invention are:

[0043] A high-speed maglev track positioning design method, which divides the high-speed maglev line into... Given a single line type, obtain the line type equation for each segment. and local coordinate system ,according to , , and Obtain the overall spatial curve equations of high-speed maglev lines . No. A section of track unit includes track components, and its positioning points To the origin of the global coordinate system Mileage According to mileage Determine the location point Need to be brought in Which section will be the first? Positioning points of track components in a section of track In the local coordinate system The position coordinates below Convert to position coordinates in the global coordinate system Then, the track components of each segment are arranged according to their position coordinates in the global coordinate system, completing the positioning design of the high-speed maglev track. This positioning design method solves the problem of insufficient precise positioning coordinate information in the design of track components for high-speed maglev railway construction in existing technologies. Attached Figure Description

[0044] Figure 1 This is a flowchart illustrating the steps of a high-speed maglev track positioning design method in Example 1;

[0045] Figure 2 This is a segmented diagram of a high-speed maglev track in Example 1;

[0046] Figure 3 This is a diagram showing the spatial curve fitting of the entire route of a high-speed maglev track in modeling software.

[0047] Figure 4 yes Figure 3 Detailed images;

[0048] Figure 5 This is a diagram showing the arrangement of the track components at the beam end;

[0049] Figure 6 This is a diagram showing the arrangement of track components inside a section of track beam;

[0050] Figure 7 This is a diagram showing the arrangement of the stator inside a section of track beam;

[0051] Figure 8 This is a diagram showing the arrangement of the stator at the beam end.

[0052] Icons: 1- Track beam, 2- Functional component, 3- Stator. Detailed Implementation

[0053] The present invention will now be described in detail with reference to the accompanying drawings.

[0054] To make the objectives, technical solutions, and advantages of this invention clearer, the invention will be further described in detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative and not intended to limit the invention.

[0055] In the following description of specific embodiments, terms such as "up," "down," "left," "right," "center," "inner," and "outer" indicating orientation or positional relationships are used based on the orientation or positional relationships shown in the accompanying drawings, or the orientation or positional relationship in which the device / apparatus is typically placed during use. These terms are merely for ease of description or simplification of the description in the specific embodiments, to facilitate quick understanding of the solution by those skilled in the art, and do not indicate or imply that a particular device / component / element must have a specific orientation, or be constructed and operated in a specific positional relationship. Therefore, they should not be construed as limitations on the present invention.

[0056] The terms "horizontal" and "vertical" do not imply that the corresponding device / component / element must be absolutely horizontal, vertical, or suspended, but rather that it can be slightly tilted. For example, "horizontal" simply means that its direction is more horizontal relative to "vertical," not that the structure must be completely horizontal, but can be slightly tilted. Alternatively, it can be simplified to mean that the corresponding device / component / element, when set in a specific direction such as "horizontal" or "vertical," can have an error / deviation of ±10% relative to that direction, more preferably within ±8%, more preferably within ±6%, more preferably within ±5%, and more preferably within ±4%. As long as the corresponding device / component / element is within the error / deviation range, it can still achieve its function in the present invention.

[0057] The terms “first,” “second,” “third,” etc., are merely used to distinguish identical or similar components and should not be interpreted as emphasizing or implying the relative importance of a particular component.

[0058] The terms “set up,” “install,” “connect,” and “link” should be interpreted broadly. For example, they can refer to fixed connections, detachable connections, or integral connections. They can refer to common connection methods in the field, such as welding, riveting, bolting, and threaded connections. They can refer to direct connections or indirect connections through an intermediate medium. They can refer to the internal connection between two components.

[0059] Example 1

[0060] like Figure 1 As shown, a high-speed maglev track positioning design method includes the following steps:

[0061] S1. Based on the alignment of the high-speed maglev line, the high-speed maglev line is divided into... Each line segment is a single line type, and a local coordinate system is created at the starting point of each line segment.

[0062] The creation of the local coordinate system begins with the first... Taking the local coordinate system of a line segment unit as an example, the origin is located at the first... Starting point of the line segment unit With the first The extension of the starting point of a line segment unit is in the opposite direction to the positive direction. For the first The normal to the location of the starting point of the line segment unit, and The axis lies in the horizontal plane; Perpendicular to and The plane in which it is located.

[0063] High-speed maglev lines include simple line types such as straight lines, spiral transition curves, vertical curves, single-wave sinusoidal transition curves, or planar circular curves. A single line type is one of these line types.

[0064] S2, Obtain the first Linear equations of line segments ,in , obtain the Local coordinate system of line segment unit The coordinate axes relative to the global coordinate system Angles between corresponding coordinate axes , and and the coordinates of the endpoint of each line unit , , The overall spatial curve equation set of the high-speed maglev line is obtained by sequentially translating and rotating the spatial curves determined by the linear equations of each line unit. ;

[0065] in, The segmented linear equations form the overall spatial curve equation system of the high-speed maglev line. In this embodiment, the track component includes a track beam, functional components, and a stator. A section of track unit includes at least one track component (of any type).

[0066] S3, according to the first Positioning points of track components on section line unit Distance from the origin of the local coordinate system Mileage along the route , obtain the Positioning points of track components in a high-speed maglev line unit In the corresponding local coordinate system Position coordinates ,in Based on the positioning points of the track components on the overall spatial curve To the origin of the global coordinate system Mileage Determine which track segment the corresponding track component belongs to, and obtain the corresponding track segment equation. , , and as well as , , ,in , and All are the first The coordinate axes of the local coordinate system of a line segment unit. for axis relative to The included angle of the axis, for axis relative to The included angle of the axis, for axis relative to The included angle of the axes. Transformed into position coordinates in the global coordinate system through translation and rotation. ,in It is a point Around the local coordinate system Angle of axis It is a point Around the local coordinate system Angle of axis It is a point Around the local coordinate system Angle of axis It is a point Around the global coordinate system Angle of axis It is a point Around the global coordinate system Angle of axis It is a point Around the global coordinate system Angle of the axis;

[0067] S301, No. Positioning points of track components in a section of track To the origin of the global coordinate system Mileage Obtained through the following formula:

[0068]

[0069] in, This refers to the section number of the high-speed maglev line. This represents the length of the corresponding segment.

[0070] According to the Positioning points of track components in a section of track To the origin of the global coordinate system Mileage Determine the location point Need to be brought in Which segment (i.e., the corresponding line unit's line shape equation) This allows for coordinate transformation.

[0071] S302, proceed and During the conversion, among them and The relationship is:

[0072]

[0073] in, It is a translation matrix. To revolve around the global coordinate system The first rotation matrix of the axis, To revolve around the global coordinate system The second rotation matrix of the axis, To revolve around the global coordinate system The third rotation matrix of the axis. , and The specific matrix expression and , and There is a relationship between their size (or quadrant), as given below when... , and All less than The corresponding expression for time:

[0074]

[0075]

[0076]

[0077]

[0078] in, For the first The x-coordinate of the endpoint of a line segment in the global coordinate system is also the x-coordinate of the first line segment. The x-coordinate of the starting point of the line segment unit in the global coordinate system; For the first The ordinate value of the endpoint of a line segment in the global coordinate system is also the first... The ordinate value of the starting point of the line segment unit in the global coordinate system; For the first The height coordinates of the endpoint of a line segment in the global coordinate system are also the values ​​of the first segment's endpoint. The height coordinates of the starting point of the line segment unit in the global coordinate system. For the first The local coordinate system at the starting point of a line segment revolves around the global coordinate system. Angle of axis For the first The local coordinate system at the starting point of a line segment revolves around the global coordinate system. Angle of axis For the first The local coordinate system at the starting point of a line segment revolves around the global coordinate system. The angle of the axis.

[0079] , and The following formula can be used to obtain:

[0080]

[0081]

[0082]

[0083] in, This refers to the segment number of the high-speed maglev line. , Not greater than The largest integer, Not greater than The largest integer, Not greater than The largest integer. In this embodiment, , and All measurements are expressed in radians.

[0084] , and The following formula can be used to obtain:

[0085]

[0086]

[0087]

[0088] in, Not greater than The largest integer, Not greater than The largest integer, Not greater than The largest integer.

[0089] Since stator 3 needs to be installed on both sides of track beam 1, the positioning points need to be calculated separately. The coordinates of the points inside and outside the corresponding track beam 1 in the global coordinate system.

[0090] When the positioning point When the positioning point is the location point of stator 3, the positioning point Located at the center of the high-speed maglev line (i.e., the positioning point) When the distance to the two rails is equal, the positioning point Points on the inner track of the high-speed maglev line Calculated using the following formula:

[0091]

[0092] in, This refers to the track gauge of a high-speed maglev line. For point The transverse slope angle at which it is located, For high-speed maglev lines in The tangent of the line at that point Projection of the surface and The included angle of the axis.

[0093] When the positioning point When the positioning point is the location point of stator 3, the positioning point Located at the center of the high-speed maglev line, the positioning point Points on the outer track of the high-speed maglev line Calculated using the following formula:

[0094]

[0095] in, This refers to the track gauge of a high-speed maglev line. For point The transverse slope angle at which it is located, For high-speed maglev lines in The tangent of the line at that point Projection of the surface and The included angle of the axis.

[0096] S4. Arrange the track components of each line unit according to the position coordinates of the corresponding positioning points in the global coordinate system, and verify whether the beam joints of track beam 1, the spacing between two adjacent functional components 2, and the spacing between two adjacent stators 3 meet the requirements. If they meet the standard requirements, the positioning design of the high-speed maglev track is completed; if they do not meet the corresponding requirements, change the arrangement scheme of track beam 1, functional components 2 and stators 3, such as shortening the length of stators 3, until the standard requirements are met.

[0097] The following situations do not meet the corresponding requirements: there is contact between the inner stators 3 of the high-speed maglev track; the beam gap of the track beam 1 is smaller than the specification requirement; the distance between two adjacent functional components 2 is smaller than the corresponding requirement.

[0098] In Convert to First, the layout scheme of the track components needs to be determined. The layout scheme of the track components includes the spacing between two adjacent track beams 1; the spacing between two adjacent functional components 2 located in the same beam span; the spacing between two adjacent stators 3 located in the same beam span; the spacing between two functional components 2 located in two adjacent beam spans; and the spacing between two stators 3 located in two adjacent beam spans.

[0099] In this embodiment, as Figure 2 As shown, a high-speed maglev track was defined, divided into 17 segments. The track type and main parameters of each segment are shown in the table below. Fitting was performed in modeling software, and the relevant track components were located using the methods described above. Figure 3 This demonstrates the spatial curve fitting of the entire high-speed maglev track in the corresponding modeling software. Figure 4 yes Figure 3 Detailed images. Figure 5 The arrangement of the track components at the beam end is shown. Figure 6 The arrangement of track components inside a section of track beam 1 is shown. Figure 7 The arrangement of stator 3 inside a section of track beam 1 is shown; Figure 8 The arrangement of stator 3 is shown at the end of the beam.

[0100] This high-speed maglev track positioning design method enables the determination of high-precision position coordinates of track beam 1, functional component 2, and stator 3, facilitating high-precision installation of the high-speed maglev functional components and stator. Furthermore, the establishment of a 3D model allows for 3D visualization design of the maglev track beam, functional components, and stator, enabling early detection of errors in the positioning information of track beam 1, functional component 2, and stator 3, improving work efficiency, and reducing the risk of interface errors.

[0101]

[0102] The above are merely preferred embodiments of the present invention and are not intended to limit the present invention. Any modifications, equivalent substitutions, and improvements made within the spirit and principles of the present invention should be included within the scope of protection of the present invention.

Claims

1. A high-speed maglev track positioning design method, characterized in that, The method comprises the following steps: According to the line type of the high-speed maglev line, the high-speed maglev line is divided into Segment line units, each of which is a single line type, and a local coordinate system is created at the starting point of each segment line unit; Get the Linear equations of line segments ,in , obtain the Local coordinate system of line segment unit The coordinate axes relative to the global coordinate system Angles between corresponding coordinate axes , and ,according to , , and Obtain the overall spatial curve equations of high-speed maglev lines ; According to the first Positioning points of track components on the section line unit to the origin of the corresponding local coordinate system Mileage along the route direction of the high-speed maglev line , the positioning points of track components on the section line unit are obtained Positioning points of track components on the section line unit Position coordinates in the corresponding local coordinate system wherein , the positioning points of track components on the section line unit are converted into position coordinates in the global coordinate system and the positioning points of track components on the section line unit are converted into position coordinates in the global coordinate system Mileage to the origin of the global coordinate system are converted into position coordinates in the global coordinate system wherein is the angle of point about the axis of the local coordinate system, is the angle of point about the axis of the local coordinate system, is the angle of point about the axis of the local coordinate system, is the angle of point about the axis of the global coordinate system, is the angle of point about the axis of the global coordinate system, is the angle of point about the axis of the global coordinate system.​​​ Arranging the track components of each line unit according to the position coordinates of the corresponding positioning points in the global coordinate system to complete the positioning design of the high-speed maglev track; No. Coordinate axes of the local coordinate system of a line segment unit , and and the corresponding local coordinate system The coordinate axes relative to the global coordinate system Angles between corresponding coordinate axes , and All by the first Linear equations of line segments Sure; No. The local coordinate system at the starting point of a line segment revolves around the global coordinate system. Angle of axis , No. The local coordinate system at the starting point of a line segment revolves around the global coordinate system. Angle of axis and the The local coordinate system at the starting point of a line segment revolves around the global coordinate system. Angle of axis The results are obtained using the following formulas: wherein is a number of segments of the high-speed maglev line, , is a maximum integer not greater than , is a maximum integer not greater than , is a maximum integer not greater than .

2. The high-speed maglev track positioning design method according to claim 1, wherein, In Convert to First, determine the layout of the track components to determine their positioning points. Distance to the corresponding local coordinate system origin Mileage along the direction of the high-speed maglev line .

3. The high-speed maglev track positioning design method of claim 1, wherein, After arranging the track components of each line unit according to the position coordinates of the corresponding positioning points in the global coordinate system, verifying whether the beam joint of the track beam (1), the distance between the two adjacent functional components (2) and the distance between the two adjacent stators (3) meet the standard requirements, if yes, completing the positioning design of the high-speed maglev track; if not, changing the arrangement scheme of the track components until the standard requirements are met.

4. The high-speed maglev track positioning design method according to any one of claims 1-3, characterized in that, Conducting and at the time of conversion, wherein and have the following relationship: wherein, is a translation matrix, is a first rotation matrix around the global coordinate system axis, is a second rotation matrix around the global coordinate system axis, is a third rotation matrix around the global coordinate system axis.

5. The high-speed maglev track positioning design method according to any one of claims 1-3, characterized in that, , and is obtained by the formula: wherein is the largest integer not greater than , is the largest integer not greater than , is the largest integer not greater than , is the angle of the local coordinate system at the start of the th line section unit around the axis of the global coordinate system, is the angle of the local coordinate system at the start of the th line section unit around the axis of the global coordinate system, is the angle of the local coordinate system at the start of the th line section unit around the axis of the global coordinate system.

6. The high-speed maglev track positioning design method according to any one of claims 1-3, characterized in that, When the positioning point is a positioning point of the stator (3), the positioning point is located at the center of the high-speed maglev line, the positioning point is a point on the inner rail of the high-speed maglev line is calculated by the following formula: wherein is the gauge of the high-speed maglev track, is the point at which the track lies, is the angle of the tangent of the track of the high-speed maglev track at is the angle of the projection of the tangent of the track of the high-speed maglev track at is the plane and is the angle of the axis.

7. The high-speed maglev track positioning design method according to any one of claims 1-3, characterized in that, When the positioning point is a positioning point of the stator (3), the positioning point is located at the center of the high-speed maglev line, the positioning point is a point on the outer side rail of the high-speed maglev line is calculated by the following formula: wherein is the gauge of the high-speed maglev track, is the point at which the track lies, is the angle between the tangent to the track at and the projection of the tangent on the plane and the axis.

8. The high-speed maglev track positioning design method according to any one of claims 1-3, characterized in that, Section Point of the track member of the segment line unit Origin of the global coordinate system Mileage is obtained by the following formula: wherein is the number of the section of the high-speed maglev line, , is the number of the section of the high-speed maglev line, is the length of the section line unit.

Images