Jointed broken line type standard model magnetic levitation turnout line shape design method and turnout

Abstract

The application discloses a joint type broken line standard model magnetic levitation turnout line shape design method and a turnout, solves the problem that the existing turnout line shape is difficult to meet the demand of different grade lateral passing speed turnouts in actual engineering, and fills the blank of the joint type broken line high-speed magnetic levitation standard turnout line shape design method. v The method comprises the following steps of S1, determining a lateral passing speed of the turnout ( t ) and a standard model of the turnout, and determining a total switching angle required by the turnout according to the standard model; y n S2, based on the principle of "straight line simulating curve", the optimization solving and screening of the turnout line shape parameters are carried out under the comprehensive constraint conditions of meeting the requirement of a turnout terminal point lateral offset amount ( n ), a turnout beam length modulus constraint and a turnout checking calculation index, wherein the line shape parameters at least comprise a turnout segment number ( l ) and a single segment turnout beam length ( L ); and S3, outputting the line shape parameters meeting all the constraints and the shortest turnout total length as the optimal design.

Description

Technical Field

[0001] This invention belongs to the field of maglev turnouts, specifically relating to a method for designing the alignment of a standard model of articulated polygonal maglev turnout and the turnout itself. Background Technology

[0002] Compared with conventional wheel-rail systems, maglev rail transit features low noise, low energy consumption, high speed, and high efficiency, and is considered a promising new mode of transportation. Maglev turnouts, as a key component for track switching in maglev trains, play a vital role in the safe and stable operation of the train.

[0003] The planar alignment design of turnouts is the first step in turnout design, a crucial prerequisite for ensuring the safe passage of vehicles, and an important basis for the structural design of turnouts. The core of the polygonal turnout alignment design method is "approximating a curve with a straight line," forming a polygonal approximation curve on the turnout's side rails. This is achieved by fitting a circular curve using multiple inscribed regular polygons, or by fitting a transition curve using secants. Polygonal turnouts can be classified according to their lateral passing capacity into "single circular" polygonal turnouts (i.e., transforming a single circle into a straight line using polygonal fitting) and "transition curve-circular curve-transition curve" polygonal turnouts (i.e., transforming a gradual curve into a straight line using polygonal fitting). "Single circular" polygonal turnouts are generally used on lines or in situations where train lateral passing speed requirements are relatively low; medium- and low-speed maglev turnouts typically use a three-segment design. "Gradual curve-gradual curve" polygonal turnouts have a smaller impact angle and are smoother than "single circular" polygonal turnouts, thus accommodating higher train lateral passing speeds. The concrete beams of the turnouts in superconducting maglev trains cannot bend laterally elastically, so they also adopt a polygonal linear design.

[0004] In publicly available literature and materials, there is a lack of specific and feasible alignment design methods for articulated polygonal maglev turnouts. Furthermore, the "High-Speed ​​Maglev Transportation Design Standard" (CJJ / T310-2021) only specifies the turnout alignment parameters for train lateral passing speeds of 98 km / h and 196 km / h, without providing specific alignment design methods. This makes it difficult to meet the design requirements of actual engineering projects for other speed levels and standard turnout models such as #7, #9, #12, #18, and #42. Summary of the Invention

[0005] The technical problem to be solved by this invention is to provide a design method for the alignment of standard maglev turnouts with articulated polygonal lines and the turnouts themselves. The proposed alignment design method guides the alignment design of standard turnouts No. 7, No. 9, No. 12, No. 18 and No. 42, solving the problem that the existing turnout alignments cannot meet the actual engineering requirements for turnouts with different levels of lateral passing speed. At the same time, it fills the gap in the design method of articulated polygonal high-speed maglev standard turnout alignments.

[0006] In a first aspect, the present invention proposes a method for designing the alignment of a standard model maglev turnout with an articulated, polygonal shape, comprising: S1, determining the lateral passing speed of the turnout ( v ) and standard model, determine the total turnout angle required based on the standard model ( t S2, based on the principle of "using straight lines to simulate curves", to meet the lateral offset of the turnout endpoint ( y n The requirements, turnout beam length modulus constraints, and turnout check indexes are used as comprehensive constraints to optimize and filter the turnout alignment parameters. These alignment parameters include at least the number of turnout segments. n ) and the length of a single-segment turnout beam ( l 0); S3, Output satisfies all constraints and the total length of the turnout ( L The shortest linear parameters are taken as the optimal design.

[0007] In some examples, the optimization and filtering described in step S2 can be implemented using any of the following methods: Method 1, Two-parameter traversal method: Traversing the number of turnout segments ( n ) and the length of the single-segment turnout beam ( l For each combination of 0), calculate the lateral offset of the turnout endpoint (0). y n ), and screen out combinations that simultaneously meet the requirements of the turnout endpoint lateral offset, the turnout beam length modulus constraint, and the turnout check index, and select the total turnout length from these combinations ( L The shortest; Method 2, single-parameter solution method: traverse the number of turnout segments ( n ), with the lateral offset of the turnout endpoint ( y n The equation equals the design requirement value. Solve for the length of the single-segment turnout beam that satisfies this equation. l The theoretical value of 0) is obtained, and the total length of the turnout is selected from the solutions that satisfy the turnout beam length module constraint and the turnout check index. L The shortest one.

[0008] In some examples, the turnout check parameters include: maximum kinetic energy loss, maximum unbalanced centrifugal acceleration, maximum unbalanced centrifugal acceleration increment, maximum included angle between adjacent turnout beams, and minimum circular curve radius.

[0009] In some examples, when the turnout is a single-circle polygonal turnout, step 2 is based on the following relationship: radius of the circular curve. Lateral offset at the end of the turnout ,in The angle between adjacent segments, and satisfying the total turn angle. .

[0010] In some examples, when the turnout is a gradual-circular-gradient broken-line turnout, step S2 includes: S2a, based on the lateral passing speed ( v ) and lateral acceleration ( a y Calculate the radius of the circular curve ( R ), and designed a "straight line to replace curve" approach for the transition curve segment, determining its actual fitting chord length ( l 01 ) and the angle between the first chord of the transition curve determined by this design and the angle between adjacent chords; S2b, the circular curve segment and its transition with the transition curve segment are designed using a "straight line instead of curve" approach, based on the selected transition geometry and the total turn angle ( t The actual fitted chord length () l 01 ) and the angle between the inclination angle of the first chord of the transition curve and the angle between adjacent chords, construct and solve for the lateral offset of the turnout endpoint ( y n A system of equations constrained by the circular curve segment is used to determine the parameters of the circular curve segment. n , l 0, i ) and transition angle ( , ).

[0011] In some examples, the "straight-to-curve" design of the transition curve segment described in step S2a includes: based on the minimum transition curve length ( l s min ) Calculate the theoretically fitted chord length ( The actual fitted chord length is obtained by rounding it up to an integer multiple of the standard modulus. l 01 The parameters of the actual transition curve and the angle between the first chord of the transition curve and the adjacent chords are calculated in reverse.

[0012] In some examples, the transition geometry described in step S2b is one of the following four cases: Case 1: Direct connection with equal chord lengths, satisfying... = ,and Case 2: Symmetrical transition with equal chord length, satisfying... = , , Independent of i Case 3: Asymmetrical transition with equal chord length, satisfying... = And satisfy one of the following conditions: (i) ,and To be independent of i (ii) variables; ,and To be independent of i The variables; Case 4: Asymmetric transition with equal chord length, satisfying = ,and and All are independent of i Variables.

[0013] Secondly, the present invention proposes a standard model of articulated polygonal maglev turnout, the side strand shape of which is designed according to the design method described above.

[0014] Thirdly, this invention proposes an application of a linear design method for articulated polygonal maglev turnouts. Based on the design method, one or more of the following can be changed: the single-span length modulus of the turnout beam, the lateral acceleration limit, the lateral acceleration increment limit, and the lateral offset requirement at the turnout endpoint. This method can be applied to the linear design of superconducting maglev articulated polygonal turnouts. Attached Figure Description

[0015] Figure 1 This is a schematic diagram of the design process of the standard model of articulated polygonal turnout in one embodiment of the present invention.

[0016] Figure 2 This is a schematic diagram of the geometric relationship calculation of an articulated single-circle broken-line turnout in one embodiment of the present invention.

[0017] Figure 3 This is a schematic diagram of the design process for a standard single-circle broken-line turnout in one embodiment of the present invention.

[0018] Figure 4 This is a schematic diagram of the overall design process of the standard turnout alignment of the gradual-circular-gradient broken line in one embodiment of the present invention.

[0019] Figure 5 This is a schematic diagram of the "straight line instead of curved line" design for the transition curve segment in one embodiment of the present invention.

[0020] Figure 6 This is a schematic diagram of the circular curve segment and its transition segment with the gradual curve in one embodiment of the present invention, designed to "replace the curve with a straight line". Detailed Implementation

[0021] like Figure 1 As shown, a method for designing the alignment of a standard model maglev turnout with an articulated polygonal shape includes: S1, determining the lateral passing speed of the turnout ( v ) and standard model, determine the total turnout angle required based on the standard model ( t S2, based on the principle of "using straight lines to simulate curves", to meet the lateral offset of the turnout endpoint ( y nThe requirements, turnout beam length modulus constraints, and turnout check indexes are used as comprehensive constraints to optimize and filter the turnout alignment parameters. These alignment parameters include at least the number of turnout segments. n ) and the length of a single-segment turnout beam ( l 0); S3, Output satisfies all constraints and the total length of the turnout ( L The shortest linear parameters are taken as the optimal design.

[0022] 1. Design method for single-circle broken-line turnouts with low lateral passing speed.

[0023] 1.1 Definitions and formulas of geometric relations.

[0024] like Figure 2 As shown, the linearity of a single-circle polygonal turnout can be abstracted as... n Segments of equal length straight lines (length) l 0) Sequentially using fixed angles i The resulting polyline, formed by connecting the lines, is used to fit a line with a radius of... R The circular curve. Let the origin O(0,0) be the starting point of the turnout, the X-axis be along the straight track, and the Y-axis be along the side track. Its geometric parameters are defined and calculated as follows: Circular curve radius R: ,

[0025] In the formula: i The included angle between two adjacent turnout beams (i.e., the deflection angle of adjacent straight segments in a broken line), in radians; β Angle i Generally, it is used to simplify the formula for calculating the radius in geometric relationships; l 0 is the standard length of a single section (span) turnout beam, which is the basic module of the design. In normal-conducting maglev, its value must be an integer multiple of 1.032 meters.

[0026] Lateral turning distance at the end of the turnout (total lateral offset) y n :

[0027] In the formula: n It is the total number of turnout segments (i.e., the number of broken line segments). Figure 1 Chinese example n= 4.

[0028] Total length L of the turnout:

[0029] x-coordinate of the turnout endpoint n :

[0030] Total turn angle (i.e., the total turn angle of a vehicle traveling from the start to the end of a turnout in its direction of travel):

[0031] Coordinates of the connection points of each segment (i.e., the turn points of the broken line): A1(x1,y1),A2(x2,y2)…An(x n y n ) In the formula, , , , , , For example, A1(x1, y1) is the end point of the first turnout beam.

[0032] Coordinates of the intersection points of each turnout beam and the X-axis: O2(x) o2 ,0),O3(x o3 ,0)...On(x on ,0): , ,

[0033] In the formula, O2, O3, ..., On are the coordinates of the intersection points of the straight lines containing the 2nd, 3rd, ..., nth turnout beams and the X-axis, respectively.

[0034] M1(x m1 (0) represents the coordinates of the endpoint of the straight section (straight track) of the turnout, and the distance from the origin to the endpoint M1 of the straight section:

[0035] 1.2 Standard Model Turnout Alignment Design Method The standard turnout alignment design is based on the premise of "fixed turnout model". Its planar geometry is consistent with the single circular turnout in the previous section. The overall design process is as follows: Figure 3 As shown, there are two specific methods: The steps of the first method (two-parameter traversal method) are as follows: a. Basic parameter input: Specify the turnout lateral passing speed v Determine the turnout model and calculate the corresponding total turnout angle. t .

[0036] b. Parameter traversal: Traverse the number of turnout segments n (From 2 to 10, with a step size of 1). For each n According to the specifications, the length of a single segmentl 0 must be an integer multiple of 1.032m. Therefore, let... l 0 = a × 1.032, iterating through integers a (From 1 to 30) l 0 is taken in increments of 1.032m between 1.032m and 30.96m.

[0037] c. Filtering and Optimization: Calculate each parameter combination ( n , l 0) Corresponding lateral offset of the turnout endpoint y n Filter out those that meet the requirements. y n The parameter solution is ≥3.65m and passes all turnout check parameters. Finally, the total turnout length is selected. L = n × l The shortest set of parameters is taken as the optimal line shape.

[0038] The steps of the second method (single-parameter solution method) are as follows: a. Basic parameter input: Same as the first method.

[0039] b. Parameter traversal: Traverse the number of turnout segments n (From 2 to 10, with a step size of 1). For each n Turnout type (i.e., total turnout angle) t Given that, then the included angles of adjacent angles are... It is known. Will y n =3.65m is used as the equation, and the unknown is solved directly. l 0; or use the radius formula ,Will l 0 represents and The function, then substituted into the equation y n =3.65m, solved inversely And then to obtain l 0.

[0040] c. Filtering and Optimization: Based on the solution obtained in the previous step... l From 0, values ​​that are exactly multiples of 1.032m are selected, and their corresponding alignment parameters are ensured to meet all turnout calculation indicators. Finally, the parameter with the shortest total turnout length is selected as the optimal alignment.

[0041] The first method is... n and l Double-layer traversal of 0 ensures lateral offset at the turnout endpoint. y nIt should be no less than 3.65m, meeting the specification limit requirements. The second method involves traversing... n And solve the equation to make y n Equals 3.65m. Both methods must ensure that the final alignment parameters meet all the following turnout check parameters, with the shortest turnout length as the optimization objective: a. Maximum kinetic energy loss oh =0.65km 2 / h 2 ; b. Maximum unbalanced centrifugal acceleration α =2.0m / s²; c. Maximum unbalanced centrifugal acceleration increment f =2.0m / s³; d. Geometric constraints: Angle between adjacent turnout beam segments i max ≤0.04286 radians, circular curve radius R≥350m; e. Total length of turnout L It must not be less than the length of a single car section l c =24.768m.

[0042] 2. Applicable to the design method of gradual-circular-gradient broken line turnouts with high lateral passing speed.

[0043] The overall process for the alignment design of standard turnouts with a gradual-circular-gradient broken line type is as follows: Figure 4 As shown. The core idea is: given the known turnout type (i.e., the total turnout angle is fixed), the alignment design is completed through parametric modeling and optimization screening, taking into account operating parameters, structural modules, and clearance constraints. This can be broadly categorized into two methods.

[0044] The overall steps of the first method (two-parameter traversal method for circular curve segments) are as follows: a. Curve radius calculation and verification: Calculate the turnout angle based on the turnout model; input the designed lateral passing speed. v and lateral acceleration a y Calculate the radius of the actual circular curve. And ensure that it meets the minimum vehicle design radius requirement of 350m.

[0045] b. Transition curve segment design "replacing curve with straight line": based on minimum transition curve length l s min The equation is fitted using two straight lines of equal length. The length of each straight line segment is... l 01 It must be an integer multiple of 1.032m (i.e. l 01=b1.032, b∈Z + For detailed design methods, please refer to section 2.1 below.

[0046] c. Design and optimization of circular curve segments using straight lines instead of curves: Number of segments traversing the circular curve segment of the turnout n (From 2 to 10, with a step size of 1).

[0047] For each n Iterate through possible single segment lengths l 0. According to the specifications, l 0 should be an integer multiple of 1.032m, that is, let l 0= a ×1.032, traversing integers a (From 1 to 30).

[0048] For each group ( n , l 0), from the formula The included angle between adjacent beams can be calculated. .Will , l 0、 and the parameters of the transition curve obtained from Chapter 2.1 ( , Substitute the total turn angle into the selected transition case (corresponding to cases 1, 2, 3, or 4 in section 2.2). Calculation formula and endpoint lateral offset y n The calculation formula calculates the total lateral offset of the turnout endpoint. y n .

[0049] Filter out all that meet the requirements y n The total length of the turnout is ultimately selected based on the parameter combination that is ≥3.65m and passes all turnout check indexes. L The shortest set of parameters is taken as the optimal line shape.

[0050] The general steps of the second method (single-parameter solution for circular curve segments) are as follows: a. Curve radius calculation and verification: Same as the first method.

[0051] b. Design of the transition curve segment by "replacing the curve with a straight line": Same as the first method.

[0052] c. Design and optimization of circular curve segments using straight lines instead of curves: Number of segments to traverse the circular curve segment of the turnout n (From 2 to 10, with a step size of 1).

[0053] For each n The lateral offset of the endpoint is set to a limit value that must be met, i.e., an equation is established. y n =3.65m. The radius of the circular curve in this equation is... Transition curve parameters ( , and total turnout angle All are known, single segment length l 0 (or the included angle between adjacent beams) Both are determined by the radius formula. (Related factors) become the core unknown.

[0054] The solution can be obtained using any of the following paths. In any path, the transition curve parameters... , All are known quantities, and their values ​​are calculated using the method described in section 2.1, "Design of Transition Curve Segments Using Straight Lines to Substitute for Curve Shapes". Path 1 (Direct Solution): In the equation... y n =3.65m, will l 0 is expressed as about The theoretical value is directly solved by a function of the geometric relationship of the selected transition condition. Path Two (Indirect Solution): Using the relational expression... Substitute into the equation Transform it into something about The equation, first solve Then calculate in reverse .

[0055] Filter from the solution results The solution is found to be an integer multiple of 1.032m, and this set of parameters is ensured to meet all turnout verification indicators. Finally, the parameter with the shortest total turnout length is selected as the optimal alignment.

[0056] The first method uses a double-layer traversal of n and l0 to ensure that the lateral offset of the turnout endpoint is not less than 3.65m, meeting the clearance requirements. The second method uses traversal of n and calculates the length of a single segment based on the lateral offset of the turnout endpoint being equal to 3.65m. The solution is selected based on whether it is a multiple of 1.032m. The alignment parameters of both methods must meet the requirements of the turnout check index, and the alignment parameter with the shortest turnout length is selected as the optimal alignment.

[0057] The first method is... n and l One method performs a global search using a double-layered traversal; the other method performs precise calculations by solving constraint equations. Both methods require satisfying all turnout inspection indicators and aim to minimize the total turnout length as the ultimate optimization objective.

[0058] In any of the optimization methods, the transition curve parameters ( , ), radius of circular curve R Turnout type (total turnout angle τ) and end-point lateral offset constraint ( All of these are known or pre-defined conditions. Transition angle , As a key design variable, its determination is not achieved through independent formula calculations, but rather is embedded within the optimization process of the overall linear parameters: In the first method, by traversing ( n , l 0) And the formula for calculating the total turn angle τ for the corresponding transition case (see Section 2.2) and the endpoint offset equation. By combining the parameters, we can directly select the parameter set that satisfies all constraints. n , , , , During this process, , The value of is determined synchronously as part of this parameter group.

[0059] In the second method, by traversing... n The formula for calculating the total turn angle τ for the corresponding transition case is combined with the endpoint offset equation. Unite and build a (or Solve the equation with as the core unknown. Similarly, , The value is determined by its relationship with t , , , n , The fixed geometric relations (i.e., the cases given in Section 2.2) t The calculation formula is derived during the solution of this equation.

[0060] Therefore, those skilled in the art can uniquely and clearly determine all design parameters based on the specific geometric relationships, constraint equations, and explicit optimization screening process disclosed in the specification.

[0061] 2.1. The design method of "replacing curves with straight lines" for transition curve segments.

[0062] To minimize the size of the turnout, the length of the transition curve section should be reduced. l s Take the minimum value l s minBased on this, the spiral-shaped transition curve is fitted using two straight lines (chords) of equal length, with reference to... Figure 5 .

[0063] Step 1: Determine the initial spiral parameters.

[0064] 1. Input design parameters: lateral passing speed (km / h) is a known input value; lateral acceleration To iterate over the variable, increment the step size within the interval [1.9999, 0.0001]. Values.

[0065] 2. Calculate key parameters, including the radius of the spiral. R Minimum transition curve length l s min and initial spiral parameters A 2 . radius of spiral R : , To ensure comfort, based on the permissible time-varying rate of lateral acceleration. Calculate the minimum transition curve length l s min : , , Initial spiral parameters A 2 Depend on R and l s min It is determined that the equation is satisfied. .

[0066] Step 2: Calculate the length of the theoretically fitted straight line segment (chord).

[0067] This step is based on the minimum transition curve length. Calculate the length of the theoretical straight line segment (chord) that matches it. .

[0068] 1. Calculate the endpoint coordinates: Based on the spiral equation, the calculated length is... The end of the transition curve Theoretical coordinates ( ).

[0069]

[0070]

[0071] 2. Curve Divided into two equal sections and Let the points be equally divided. The corresponding transition curve length is Its coordinates Available for The series representation of points in the same form (representing the series in the formula) Replace with Based on the geometric constraint of equal chord lengths. Establish the equation:

[0072] Solving this equation yields And thus obtain A Point coordinates and theoretical chord length .

[0073] Step 3: Determine the actual parameters and perform verification.

[0074] This step adjusts the theoretical value to the actual value that satisfies the engineering module (an integer multiple of 1.032m) and completes the final calculation.

[0075] 1. Determine the actual chord length : Regarding the theoretical chord length Round up to the nearest multiple of 1.032m to obtain the assumed chord length. .Right now .

[0076] 2. Back-calculate the parameters of the actual transition curve: Actual chord length To constrain the process, the length of the transition curve corresponding to the first chord segment is calculated in reverse. and its endpoint , must meet And the equation of the spiral. Furthermore, from... Back-calculate the length of the entire transition curve and the endpoint After adjustment, the spiral parameters are updated to... .

[0077] 3. Calculate the key angles: ,

[0078] in, The angle of inclination of the first chord segment. It is the angle between the two chord segments.

[0079] 4. The following four key indicators of the design scheme were checked, including: the time-varying rate of lateral acceleration. Kinetic energy loss, maximum included angle of turnout beam (maximum included angle between chords) Length of transition curve Transverse acceleration time-varying rate: .

[0080] When calculating kinetic energy loss, to consider the most unfavorable conditions and ensure a safety margin, the impact angle is taken from two key factors: the transition curve. angle and The larger value in the equation. This principle is based on the realities of on-site engineering: at turnout joints, it may not be possible to install transition rails or angle bisectors to optimize wheel-rail contact geometry. Therefore, the design employs the following conservative method for verification: Method 1: Determine the impact angle Calculate the kinetic energy loss:

[0081] Method 2 (Separate Verification): Simultaneously calculate the kinetic energy loss values ​​corresponding to the two angles, and require that each value meet the limits:

[0082] The above two verification methods are sufficient to satisfy either one, both of which reflect the safety design principle under the condition of not considering special transition devices.

[0083] Maximum angle between chords: .

[0084] Length of transition curve: (Length of a single car section).

[0085] As a simplified calculation method, it can be directly taken And also rounded up to get The subsequent calculation process is the same as step three above.

[0086] 2.2. Design method of "replacing curve with straight line" for circular curve segments.

[0087] The design of the circular curve segment aims to use a segment of a broken line with equal chord length (segment length) Angle between adjacent chords The fitting radius is An arc. For example... Figure 6 As shown, the design needs to connect with the completed transition curve segment design results and consider the transition geometry at the connection point. The core parameters and known conditions involved are as follows: The known inputs include the design results of the transition curve section, track parameters, and turnout model requirements.

[0088] The design results of the transition curve segment include the first chord inclination angle. Angle between chords ,end coordinate( ), actual length of the transition curve chord length .

[0089] Line parameters include the radius of the circular curve. Lateral passing speed .

[0090] The total turnout angle can be determined based on the turnout type. .

[0091] Key design variables include the number of segments in the circular curve segment. Segment length Angle between adjacent segments and the transition angle between the transition curve and the circular curve. and .

[0092] The design constraint is that the total lateral offset at the turnout endpoint must meet the following requirements. .

[0093] To cover different connection geometries, the design method is based on the transition angle. , and The relationship can be discussed in four ways.

[0094] Case 1: Equal chord lengths and direct connection

[0095] In this case, the final chord of the transition curve becomes part of the circular curve, and the two are smoothly and directly connected.

[0096] 1. Parameter calculation: from and traversal According to the formula calculate .

[0097] 2. Composition of total turn angle:

[0098] 3. Lateral offset equation:

[0099] In the equation , , Since they are related variables, a simultaneous solution is required to satisfy the constraints.

[0100] Case 2: Equal chord length and symmetrical transition

[0101] In this case, the two ends of the circular curve pass through equal transition angles. Connect the transition curve, and Independent of .

[0102] 1. Parameter calculation: Same as case 1, from and calculate .

[0103] 2. Composition of total turn angle:

[0104] 3. Lateral offset equation:

[0105] In the equation , (or ), These are related variables.

[0106] Case 3: Equal chord lengths and asymmetrical transition (one end directly connected, with an included angle of...) )

[0107] In this case, one end of the circular curve forms an angle. The transition occurs at one end and the other end has an independent transition angle. connect.

[0108] 1. Parameter calculation: Same as case 1.

[0109] 2. Total turn angle composition: (based on...) (For example) 3. Lateral offset equation:

[0110] In the equation , (or ), These are related variables.

[0111] Case 4: Equal chord length and asymmetrical transition

[0112] This is the most general case, where the transition angles at both ends are unequal and independent of the included angle of the circular curve.

[0113] 1. Parameter calculation: Same as case 1.

[0114] 2. Composition of total turn angle:

[0115] 3. Lateral offset equation:

[0116] In the equation , (or ), , These are related variables.

[0117] In actual design, a solution should be selected based on the engineering objectives (such as striving for structural simplification or alignment optimization), and the corresponding set of equations should be compared with the "turnout check indexes" described in Section 1.2. Combining modular constraints that are integer multiples of 1.032m, and using the first or second optimization method described in Section 2 for solving and filtering, the optimal alignment parameters (n, ...) that satisfy all constraints and have the shortest total turnout length are finally obtained. , , , ).

[0118] In practical design, a solution should be selected based on the engineering objectives (such as striving for structural simplification or alignment optimization), and the corresponding equations should be compared with the general turnout check parameters described in Section 1.2. Combining modular constraints that are integer multiples of 1.032m, the first or second optimization method described in this section (Design of Gradual-Circular-Gradual Broken-Line Turnouts) is used for solving and filtering, ultimately obtaining the optimal alignment parameters (n, ...) that satisfy all constraints and have the shortest total turnout length. , , , ) In summary, the above methods can be used to design the alignment of standard single turnouts with articulated single-circle broken lines and gradual-circle-gradual broken lines. For other types of turnouts derived from single turnouts, such as three-section turnouts, five-section turnouts, and single crossover turnouts, the above methods can also be used to achieve the alignment design.

[0119] Furthermore, by changing the requirements for the single span length of the turnout beam (the length of the turnout beam for superconducting maglev is 9+1.8n, and for conventional maglev it is an integer multiple of 1.032m), the limits for lateral acceleration, the increment of lateral acceleration, and the lateral offset of the turnout endpoint (not less than 3.65m for conventional maglev and not less than 4.025m for superconducting maglev), the linear design of the superconducting maglev articulated polygonal standard turnout can also be realized through the above method. The design principle, method, and process are the same and are also within the scope of protection of this patent.

Claims

1. A method for designing the alignment of a standard model maglev turnout with an articulated, broken-line shape, characterized in that, include: S1. Determine the lateral passing speed of the turnout ( v ) and standard model, determine the total turnout angle required based on the standard model ( τ ); S2. Based on the principle of "using straight lines to approximate curves", to meet the lateral offset of the turnout endpoint ( y n The requirements, turnout beam length modulus constraints, and turnout check indexes are used as comprehensive constraints to optimize and filter the turnout alignment parameters. These alignment parameters include at least the number of turnout segments. n ) and the length of a single-segment turnout beam ( l 0); S3, Output satisfies all constraints and the total length of the turnout ( L The shortest linear parameters are taken as the optimal design.

2. The method according to claim 1, characterized in that, The optimization and filtering described in step S2 can be implemented using any of the following methods: Method 1, Two-Parameter Traversal Method: Traverse the number of turnout segments ( n ) and the length of the single-segment turnout beam ( l For each combination of 0), calculate the lateral offset of the turnout endpoint (0). y n ), and screen out combinations that simultaneously meet the requirements of the turnout endpoint lateral offset, the turnout beam length modulus constraint, and the turnout check index, and select the total turnout length from these combinations ( L The shortest; Method 2, Single-parameter solution method: Traverse the number of turnout segments ( n ), with the lateral offset of the turnout endpoint ( y n The equation equals the design requirement value. Solve for the length of the single-segment turnout beam that satisfies this equation. l The theoretical value of 0) is obtained, and the total length of the turnout is selected from the solutions that satisfy the turnout beam length module constraint and the turnout check index. L The shortest one.

3. The method according to claim 1, characterized in that, The turnout inspection indicators include: maximum kinetic energy loss, maximum unbalanced centrifugal acceleration, maximum unbalanced centrifugal acceleration increment, maximum included angle between adjacent turnout beams, and minimum circular curve radius.

4. The method according to claim 1, characterized in that, When the turnout is a single-circle polygonal turnout, step 2 is based on the following relationship: radius of the circular curve. Lateral offset at the end of the turnout ,in The angle between adjacent segments, and satisfying the total turn angle. .

5. The method according to claim 1, characterized in that, When the turnout is a gradual-circular-gradient broken line turnout, step S2 includes: S2a, based on the lateral passing speed ( v ) and lateral acceleration ( a y Calculate the radius of the circular curve ( R ), and designed a "straight line to replace curve" approach for the transition curve segment, determining its actual fitting chord length ( l 01 ) and the angle between the first chord of the transition curve and the adjacent chord, as determined by the design; S2b, Design the circular curve segment and its transition with the transition curve segment using a "straight line instead of curve" approach, based on the selected transition geometry and the total turn angle ( τ The actual fitted chord length () l 01 ) and the angle between the inclination angle of the first chord of the transition curve and the angle between adjacent chords, construct and solve for the lateral offset of the turnout endpoint ( y n A system of equations constrained by the circular curve segment is used to determine the parameters of the circular curve segment. n , l 0, θ ) and transition angle ( , ).

6. The method according to claim 5, characterized in that, The "straight line instead of curved line" design for the transition curve segment described in step S2a includes: based on the minimum transition curve length ( l s min ) Calculate the theoretically fitted chord length ( The actual fitted chord length is obtained by rounding it up to an integer multiple of the standard modulus. l 01 The parameters of the actual transition curve and the angle between the first chord of the transition curve and the adjacent chords are calculated in reverse.

7. The method according to claim 5, characterized in that, The transition geometry described in step S2b is one of the following four cases: Case 1: Direct connection with equal chord lengths satisfies... = ,and ; Case 2: Symmetrical transition with equal chord length, satisfying... = , , Independent of θ ; Case 3: Asymmetrical transition with equal chord length, satisfying... = And it meets one of the following conditions: (i) ,and To be independent θ Variables; (ii) ,and To be independent θ Variables; Case 4: Asymmetrical transition with equal chord length, satisfying... = ,and and All are independent of θ Variables.

8. A standard model of articulated polygonal maglev turnout, characterized in that, Its side strand shape is designed by the design method according to any one of claims 1 to 7.

9. The maglev turnout according to claim 8, characterized in that, The standard models include turnout models 7#, 9#, 12#, 18# and 42#.

10. An application of a linear design method for an articulated, polygonal maglev turnout, characterized in that, The design method according to any one of claims 1 to 7 is applied to the alignment design of superconducting magnetic levitation articulated broken-line turnouts by changing one or more of the single-span length modulus of the turnout beam, the lateral acceleration limit, the lateral acceleration increment limit, and the lateral offset requirement at the turnout end point.

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