Parametric modeling method and system for three-centered circular hat brim bevel type portal

Abstract

The present application relates to a kind of three heart circle hat brim bevelled type portal parameterized modeling method and system.Hand modeling of three heart circle hat brim bevelled type portal exists low efficiency, precision is not high, modification difficulty and other problems.This method obtains the basic parameters of bevel segment lining and hat brim of three heart circle hat brim bevelled type portal;Using the basic parameters of bevel segment lining and hat brim establishes the space curve control equation of four contour lines;According to four contour lines lofting generation space surface, suture obtains hat brim three-dimensional entity model;According to the basic parameters of bevel segment lining, generate bevel segment tunnel three-dimensional entity model;The three-dimensional entity model of hat brim and bevel segment tunnel three-dimensional entity model are combined, and three heart circle hat brim bevelled type portal three-dimensional entity model is obtained.Compared with traditional from two-dimensional design drawing, this method is faster, precision is improved and easy to modify, and the modeling efficiency and model quality are improved.

Description

Technical Field

[0001] This invention relates to the field of three-dimensional modeling technology for tunnel engineering, specifically to a parametric modeling method and system for a three-centered circular cap-shaped oblique-cut tunnel portal. Background Technology

[0002] A tunnel portal with a beveled apex is a structure installed at the tunnel entrance that effectively reduces the micro-air waves generated by railway operation, thereby mitigating the environmental impact at the tunnel entrance. It also has the advantages of being aesthetically pleasing, economical, and blending in with the surrounding environment. However, tunnel portals with beveled apexs are generally composed of irregular ruled curved surfaces, making them impossible to model using simple shape creation and Boolean operations.

[0003] Currently, the widely used manual modeling method refers to manually drawing the outline and curved surfaces of the arched doorway based on the three views of the arch structure in the two-dimensional design drawings using graphics software such as AutoCAD and MicroStation. This involves cutting, stitching, and combining these elements to generate a three-dimensional solid model. This method has the following drawbacks: ① Manual modeling is inefficient, requiring a significant amount of time and effort, and is prone to errors and deviations; ② Modification is difficult; if design parameters or specifications change, the outline and curved surfaces need to be redrawn or adjusted; ③ For three-centered circular doorway structures, the transition surfaces and splicing between the arch and the side walls need to be considered, making the manual modeling process exceptionally complex.

[0004] Therefore, it is necessary to propose a parametric modeling method suitable for three-centered circular awning beveled doorways, which can automatically generate three-dimensional solid models of awning beveled doorways according to different design parameters, overcoming the shortcomings of existing methods. Summary of the Invention

[0005] The purpose of this invention is to provide a parametric modeling method and system for a three-centered circular brim oblique-cut entrance, so as to solve the problems of low efficiency, low accuracy and high difficulty in modification that exist in manual modeling.

[0006] To achieve the above objectives, the technical solution adopted by the present invention is as follows:

[0007] A parametric modeling method for a three-centered, rounded, obliquely cut entrance archway, the method comprising:

[0008] Obtain the lining foundation parameters of the oblique section and the cap-shaped foundation parameters of the three-centered circular cap-shaped archway;

[0009] Using the foundation parameters of the oblique section lining and the brim foundation, spatial curve control equations for four contour lines are established. The four contour lines include the inner contour line of the oblique section lining, the outer contour line of the oblique section lining, the inner contour line of the brim, and the outer contour line of the brim.

[0010] Spatial surfaces are generated by lofting from four contour lines and then stitched together to obtain a three-dimensional solid model of the brim;

[0011] Based on the foundation parameters of the lining of the oblique section, a three-dimensional solid model of the tunnel body of the oblique section is generated;

[0012] By combining the 3D solid model of the brim and the 3D solid model of the oblique section of the tunnel, a 3D solid model of the three-centered circular brim oblique tunnel entrance is obtained.

[0013] Furthermore, the lining foundation parameters for the oblique section include the centerline spacing a, the distance from the centerline to the side ditch b, the top surface width of the ditch c, the height from the rail surface to the arch top h, the height from the rail surface to the top surface of the ditch h0, the 1 / 2 angle of the arch θ1, the radius of the arch r1, the radius of the sidewall r2, and the lining thickness d.

[0014] Furthermore, the basic parameters of the brim include the included angle θ of the outer side of the brim. wc , the outer slant length of the brim L wc θ, the angle between the inner sides of the brim nc , the inner slant length of the brim L nc , Slope of the oblique section 1:k, Distance f from the oblique section to the opening.

[0015] Furthermore, using the foundation parameters of the oblique section lining and the cap brim foundation, spatial curve control equations for the four contour lines are established, including:

[0016] The three-centered round brim oblique-cut doorway is divided into the left side wall, the arch and the right side wall;

[0017] Divide the brim into 6 groups, with the inner and outer contours of each group lying on the same elliptical cone, resulting in 6 elliptical cones, namely:

[0018] Group I, the left side wall of the inner contour line of the brim and the left side wall of the inner contour line of the oblique section lining;

[0019] Group II, the arch of the inner contour line of the brim and the arch of the inner contour line of the oblique section lining;

[0020] Group III, the right side wall of the inner contour line of the brim and the right side wall of the inner contour line of the oblique section lining;

[0021] Group IV, the left side wall of the outer contour line of the brim and the left side wall of the outer contour line of the oblique section lining;

[0022] Group V, the arch of the outer contour of the brim and the arch of the outer contour of the oblique section lining;

[0023] Group VI, the right side wall of the outer contour line of the brim and the right side wall of the outer contour line of the oblique section lining;

[0024] According to the grouping, the three-dimensional space curve control equations of all contour lines in each group are calculated;

[0025] By combining the left sidewall, arch, and right sidewall of the contour lines, the spatial curve control equations of the four contour lines are obtained.

[0026] Furthermore, according to the grouping, the three-dimensional space curve governing equations for all contour lines in each group are calculated, including:

[0027] Calculate and convert the brim length L new :

[0028]

[0029] in:

[0030] h1' is the height of the center of the lining contour circle of each group from the top surface of the tunnel trench.

[0031] r' is the lining contour radius corresponding to each group;

[0032] θ k For the slope of the oblique section, θ k =arctan(1 / k);

[0033] θ' m The included angle of the brim for each group;

[0034] w' represents the distance between the center of each group and the centerline of the tunnel.

[0035] L' represents the brim length corresponding to each group;

[0036] Calculate the angle θ between the sloping surface of the cap and the tunnel axis. B :

[0037]

[0038]

[0039]

[0040]

[0041] in:

[0042] b 11 The length from the top of the ditch at the opening to the top of the cap arch in the side view;

[0043] b 12 It is the length of the line segment from the top surface of the trench at the opening to the top of the cap arch in the side view, and parallel to the lining slope.

[0044] b 13 Connect the endpoints of b11 and b12 on the brim in the side view;

[0045] Calculate the characteristic parameters of the elliptical cone, including the major axis b of the ellipse at the base of the cone. yz minor axis a yz elliptical cone height h yz :

[0046]

[0047] b yz =p·cos(θ′) m -θ k )

[0048]

[0049] h yz =p·sin(θ′) m -θ k )

[0050] in:

[0051] p is the distance between the vertex of the elliptic cone and the endpoint of the major axis of the base of the elliptic cone;

[0052] Calculate the control parameters of the elliptical curve of the brim outline formed by cutting the elliptical cone, including the coordinates of the ellipse center E(x,y,z), the major axis B, the minor axis A, and the three-dimensional rotation angle θ. E :

[0053] θ cut =θ B -θ k

[0054] θ t =arctan(h yz / b yz )

[0055]

[0056] l x =(h yz -b yz ·tanθ cut )·a yz / h yz

[0057] l y =b yz / cosθ cut -B

[0058]

[0059]

[0060]

[0061] in:

[0062] θ cut The angle between the plane containing the brim outline and the base of the elliptical cone;

[0063] θ t The angle between the height of the elliptic cone and the major axis of the base of the elliptic cone;

[0064] l x The length of the projection of the ellipse outline of the brim onto the base of the elliptical cone;

[0065] l y The width of the projection of the ellipse outline of the brim onto the base of the elliptical cone;

[0066] θ Ex Let be the angle by which the ellipse outlining the brim of the hat is rotated about the X-axis in the spatial coordinate system.

[0067] θ Ey The angle by which the ellipse outlining the brim of the hat is rotated about the Y-axis in the spatial coordinate system;

[0068] θ Ez The angle by which the ellipse outlining the brim of the hat is rotated about the Z-axis in the spatial coordinate system;

[0069] Calculate the curve governing equations of the oblique section lining outline, including the major axis B' and minor axis A' of the ellipse, the coordinates of the ellipse center E'(x',y',z'), and the three-dimensional rotation angle θ. E ′:

[0070] A'=r′

[0071]

[0072]

[0073]

[0074] in:

[0075] θ′ EX The angle by which the ellipse of the obliquely cut lining contour line rotates about the X-axis in the spatial coordinate system;

[0076] θ′ EY The angle by which the ellipse of the obliquely cut lining contour line rotates about the Y-axis in the spatial coordinate system;

[0077] θ′ EZ The angle by which the ellipse of the obliquely cut lining contour line rotates about the Z-axis in the spatial coordinate system;

[0078] Substituting the known parameters from group I to group VI, we obtain the three-dimensional spatial curve control equations for all contour lines in each group.

[0079] Furthermore, the known parameters for groups I through VI include:

[0080] Group I: L′=L nc ,θ′ m =θ nc ,r′=r2,h′1=h-r1+(r1-r2)cosθ1-h0,w′=(r1-r2)·sinθ1

[0081] Group II: L′=L nc ,θ′ m =θ nc ,r′=r1,h′1=h-r1-h0,w′=0

[0082] Group III: L′=L nc ,θ′ m =θ nc ,r′=r2,h′1=h-r1+(r1-r2)cosθ1-h0,w′=-(r1-r2)·sinθ1

[0083] Group IV: L′=L wc ,θ′ m =θ wc , r′=r2+d, h′1=h-r1+(r1-r2)cosθ1-h0, w′=(r1-r2)·sinθ1

[0084] Group V: L′=L wc ,θ′ m =θ wc ,r′=r1+d,h′1=h-r1-h0,w′=0

[0085] Group VI: L′=L wc ,θ′ m =θ wc , r′=r2+d, h′1=h-r1+(r1-r2)cosθ1-h0, w′=-(r1-r2)·sinθ1

[0086] Furthermore, based on the foundation parameters of the inclined section lining, a three-dimensional solid model of the inclined section tunnel is generated, including:

[0087] Based on the foundation parameters of the inclined section lining, draw the tunnel cross-section diagram on a two-dimensional plane;

[0088] The tunnel cross-section diagram is stretched along the tunnel axis to obtain a three-dimensional solid model;

[0089] Specify the location of the oblique cut section of the tunnel entrance on the 3D solid model, and cut the 3D solid model along the oblique cut angle to obtain the 3D solid model of the oblique cut section of the tunnel body.

[0090] On the other hand, a parametric modeling system for a three-centered circular brim beveled doorway is provided, the system being used to implement the method, including:

[0091] The acquisition module is used to acquire the lining foundation parameters of the oblique section and the cap-shaped foundation parameters of the three-centered circular cap-shaped archway.

[0092] A module is established to create spatial curve control equations for four contour lines using the base parameters of the oblique section lining and the base parameters of the brim. The four contour lines include the inner contour line of the oblique section lining, the outer contour line of the oblique section lining, the inner contour line of the brim, and the outer contour line of the brim.

[0093] The stitching module is used to generate a spatial surface by lofting based on four contour lines, and then stitching it together to obtain a three-dimensional solid model of the brim.

[0094] The generation module is used to generate a three-dimensional solid model of the inclined section tunnel body based on the foundation parameters of the inclined section lining.

[0095] The combination module is used to combine the 3D solid model of the brim and the 3D solid model of the oblique section of the tunnel body to obtain a 3D solid model of the three-centered circular brim oblique tunnel entrance.

[0096] Compared with the prior art, the beneficial effects of the present invention are as follows:

[0097] The method of this invention addresses the problem of complex curved surfaces and difficult modeling of oblique-cut portals in railway tunnels. It involves obtaining the lining contour and basic parameters of the oblique-cut portal; calculating the spatial curve control equations of four contour lines based on the basic parameters; generating a spatial surface by lofting the four contour lines and stitching them together to obtain a three-dimensional solid model of the portal; generating a three-dimensional solid model of the tunnel body of the oblique-cut section based on the lining contour parameters; and combining the three-dimensional solid models of the portal and the oblique-cut section.

[0098] The method of this invention realizes three-dimensional parametric modeling of the cap-shaped oblique cut portal, which is applicable to the three-centered circular lining section of railway tunnels. When the radius of the arch and the side wall are the same, it is also applicable to the single-centered circular lining section. Compared with the traditional modeling from two-dimensional design drawings, the modeling is faster, more accurate and easier to modify, thus improving the modeling efficiency and model quality. Attached Figure Description

[0099] To more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For those skilled in the art, other embodiments can be obtained from these drawings without creative effort.

[0100] Figure 1This is a flowchart of the method of the present invention.

[0101] Figure 2 This is a schematic diagram of the components of the slanted-cut archway and the outline of the brim.

[0102] Figure 3 A schematic diagram showing the parameters for the tunnel lining profile and cap structure (including front and side views).

[0103] Figure 4 A schematic diagram showing the grouping and coding of the brim outline.

[0104] Figure 5 This is a schematic diagram showing the relationship between the outline of the hat brim and the elliptical cone it belongs to.

[0105] Figure 6 The resulting three-dimensional solid model is obtained by stitching. Detailed Implementation

[0106] To facilitate understanding of the present invention, a more complete description will be given below with reference to the accompanying drawings. Preferred embodiments of the invention are shown in the drawings. However, the invention can be implemented in many different forms and is not limited to the embodiments described herein. Rather, these embodiments are provided to provide a thorough and complete understanding of the disclosure of the invention.

[0107] It should be noted that similar labels and letters indicate similar items; therefore, once an item is defined in one embodiment, it does not need to be further defined and explained in subsequent embodiments. The values ​​for certain parameters are based on suggested values ​​from existing standards and other sources, so specific calculation processes are not required.

[0108] It should also be noted that although the order of steps is mentioned in the method description, in some cases, steps may be performed in a different order than that described here, and this should not be interpreted as a restriction on the order of steps.

[0109] This invention provides a parametric modeling method for a three-centered circular brim beveled doorway, specifically for modeling this type of doorway. Figure 1 The method includes:

[0110] S1: Obtain the lining foundation parameters of the oblique section and the brim foundation parameters of the three-centered circular brim oblique cut-type portal.

[0111] The railway tunnel portal with a slanted, cap-shaped opening consists of several parts: a frustum-shaped cap-shaped structure (Ⅰ), the tunnel body arch wall lining (Ⅱ), the invert arch lining (Ⅲ), the side ditch / groove (Ⅳ), and the invert arch filling (⤩). Figure 2As shown. The frustum-shaped brim is located on the oblique cut surface of the arch wall lining, while the structural parameters of the inverted arch lining III, the side ditch IV, and the inverted arch infill V do not affect the brim structure I, which is a conventional design element. This invention mainly utilizes the characteristics and advantages of parametric modeling of the arch wall lining and the brim structure. For example... Figure 3 As shown, the basic parameters specifically include:

[0112] The parameters of the lining foundation for the oblique section include the centerline spacing a, the distance from the centerline to the side ditch b, the top surface width of the ditch c, the height from the rail surface to the arch top h, the height from the rail surface to the top surface of the ditch h0, the 1 / 2 angle of the arch θ1, the radius of the arch r1, the radius of the sidewall r2, and the lining thickness d.

[0113] Basic parameters of the brim include the included angle θ of the outer side of the brim. wc , the outer slant length of the brim L wc θ, the angle between the inner sides of the brim nc , the inner slant length of the brim L nc , Slope of the oblique section 1:k, Distance f from the oblique section to the opening.

[0114] The above parameters are obtained based on the design principles of specific tunnel projects.

[0115] S2: Establish spatial curve control equations for four contour lines using the foundation parameters of the oblique-cut lining section and the brim foundation. The four contour lines include the inner contour line C of the oblique-cut lining section, the outer contour line D of the oblique-cut lining section, the inner contour line A of the brim, and the outer contour line B of the brim. (Includes:)

[0116] S21: Divide the three-centered round brim oblique-cut doorway into the left side wall, the arch and the right side wall;

[0117] S22: Divide the brim into 6 groups, with the inner and outer contours of each group lying on the same elliptical cone, resulting in 6 elliptical cones, namely:

[0118] Group I, the left side wall A-1 of the inner contour line A of the brim and the left side wall C-1 of the inner contour line C of the oblique section lining;

[0119] Group II, the arch A-2 of the inner contour line A of the brim and the arch C-2 of the inner contour line C of the oblique section lining;

[0120] Group III, the right side wall A-3 of the inner contour line A of the brim and the right side wall C-3 of the inner contour line C of the oblique section lining;

[0121] Group IV, the left side wall B-1 of the outer contour line B of the brim and the left side wall D-1 of the outer contour line D of the oblique section lining;

[0122] Group V, the arch B-2 of the outer contour line B of the brim and the arch D-2 of the outer contour line D of the oblique section lining;

[0123] Group VI, the right side wall B-3 of the outer contour line B of the brim and the right side wall D-3 of the outer contour line D of the oblique section lining.

[0124] Taking Group II as an example, the brim outline A-2 and the oblique section lining outline C-2 lie on the same elliptical cone surface, see [reference]. Figure 5 As shown.

[0125] S23: Based on the grouping, the three-dimensional spatial curve control equations for all contour lines in each group are calculated. A common solution method is used for all six groups of contour lines. This includes:

[0126] S231: Calculate the converted brim length L new :

[0127]

[0128] in:

[0129] h1' is the height of the center of the lining contour circle of each group from the top surface of the tunnel trench.

[0130] r' is the lining contour radius corresponding to each group;

[0131] θ k For the slope of the oblique section, θ k =arctan(1 / k);

[0132] θ' m The included angle of the brim for each group;

[0133] w' represents the distance between the center of each group and the centerline of the tunnel.

[0134] L' represents the brim length corresponding to each group;

[0135] The center of the arc of the sidewall in the three-centered circular lining section is not on the tunnel centerline. To ensure a smooth transition between the arch of the cap structure and the curve of the sidewall, the length of the cap in the sidewall contour calculation needs to be corrected. The above formula is a general formula. It can be seen that the distance w′ from the center of the arch to the tunnel centerline is 0, leading to a calculation result L... new =L′, meaning the arch does not require correction. Similarly, for a single-centered circular cross-section, the correction result for both the arch and the sidewall is the initial cap length L′.

[0136] S232: Calculate the angle θ between the cap brim and the tunnel axis. B :

[0137]

[0138]

[0139]

[0140]

[0141] in:

[0142] b 11 The length from the top of the ditch at the opening to the top of the cap arch in the side view;

[0143] b 12 It is the length of the line segment from the top surface of the trench at the opening to the top of the cap arch in the side view, and parallel to the lining slope.

[0144] b 13 Connect the endpoints of b11 and b12 on the brim in the side view;

[0145] S233: Calculate the characteristic parameters of the elliptical cone, including the major axis b of the ellipse at the base of the cone. yz minor axis a yz elliptical cone height h yz :

[0146]

[0147] b yz =p·cos(θ′) m -θ k )

[0148]

[0149] h yz =p·sin(θ′) m -θ k )

[0150] Where p is the distance between the vertex of the elliptic cone and the endpoint of the major axis of the base of the elliptic cone;

[0151] S234: Calculate the control parameters of the elliptical curve of the brim outline formed by the cutting of the elliptical cone, including the coordinates of the ellipse center E(x,y,z), the major axis B, the minor axis A, and the three-dimensional rotation angle θ. E :

[0152] θ cut =θ B -θ k

[0153] θ t =arctan(h yz / b yz )

[0154]

[0155] l x =(h yz -byz ·tanθ cut )·a yz / h yz

[0156] l y =b yz / cosθ cut -B

[0157]

[0158]

[0159]

[0160] in:

[0161] θ cut The angle between the plane containing the brim outline and the base of the elliptical cone;

[0162] θ t The angle between the height of the elliptic cone and the major axis of the base of the elliptic cone;

[0163] l x The length of the projection of the ellipse outline of the brim onto the base of the elliptical cone;

[0164] l y The width of the projection of the ellipse outline of the brim onto the base of the elliptical cone;

[0165] θ Ex Let be the angle by which the ellipse outlining the brim of the hat is rotated about the X-axis in the spatial coordinate system.

[0166] θ Ey The angle by which the ellipse outlining the brim of the hat is rotated about the Y-axis in the spatial coordinate system;

[0167] θ Ez Let be the angle by which the ellipse outlining the brim rotates around the Z-axis in the spatial coordinate system.

[0168] S235: Calculate the curve governing equations for the oblique section lining outline, including the major axis B' and minor axis A' of the ellipse, the coordinates of the ellipse center E'(x',y',z'), and the three-dimensional rotation angle θ. E ′:

[0169] A'=r′

[0170]

[0171]

[0172]

[0173] in:

[0174] θ′ EX The angle by which the ellipse of the obliquely cut lining contour line rotates about the X-axis in the spatial coordinate system;

[0175] θ′ EY The angle by which the ellipse of the obliquely cut lining contour line rotates about the Y-axis in the spatial coordinate system;

[0176] θ′ EZ The angle by which the ellipse of the obliquely cut lining contour line rotates around the Z-axis in the spatial coordinate system.

[0177] Substituting the known parameters from group I to group VI, we obtain the three-dimensional spatial curve control equations for all contour lines in each group.

[0178] The known parameters for groups I through VI include:

[0179] Group I: L′=L nc ,θ′ m =θ nc ,r′=r2,h′1=h-r1+(r1-r2)cosθ1-h0,w′=(r1-r2)·sinθ1

[0180] Group II: L′=L nc ,θ′ m =θ nc ,r′=r1,h′1=h-r1-h0,w′=0

[0181] Group III: L′=L nc ,θ′ m =θ nc ,r′=r2,h′1=h-r1+(r1-r2)cosθ1-h0,w′=-(r1-r2)·sinθ1

[0182] Group IV: L′=L wc ,θ′ m =θ wc , r′=r2+d, h′1=h-r1+(r1-r2)cosθ1-h0, w′=(r1-r2)·sinθ1

[0183] Group V: L′=L wc ,θ′ m =θ wc ,r′=r1+d,h′1=h-r1-h0,w′=0

[0184] Group VI: L′=L wc ,θ′ m =θ wc, r′=r2+d, h′1=h-r1+(r1-r2)cosθ1-h0, w′=-(r1-r2)·sinθ1

[0185] S24: Combine the left sidewall, arch, and right sidewall of the contour lines to obtain the spatial curve control equations of the four contour lines.

[0186] S3: Lofting based on the four contour lines generates a spatial surface, which is then stitched together to obtain a 3D solid model of the brim, such as... Figure 6 As shown.

[0187] S4: Generate a 3D solid model of the inclined section tunnel body based on the foundation parameters of the inclined section lining. This includes:

[0188] S41: Draw the tunnel cross-section diagram on a two-dimensional plane based on the foundation parameters of the inclined section lining;

[0189] S42: Extrude the tunnel cross-section diagram along the tunnel axis to obtain a three-dimensional solid model;

[0190] S43: Specify the position of the oblique section of the tunnel entrance on the 3D solid model, cut the 3D solid model along the oblique angle, and obtain the 3D solid model of the oblique section tunnel body.

[0191] S5: Combine the 3D solid model of the brim and the 3D solid model of the obliquely cut section of the tunnel to obtain a 3D solid model of a three-centered circular brim obliquely cut tunnel entrance, as follows: Figure 6 As shown.

[0192] The model generation process of this invention is entirely parameterized, requiring only the support of a 3D graphics engine. The method employs parametric modeling, where updating the model only requires modifying the relevant parameters. Furthermore, the data in parametric modeling is interconnected; modifying one parameter affects other related parameters, thus maintaining the consistency and rationality of the model.

[0193] On the other hand, the present invention provides a parametric modeling system for a three-centered circular brim beveled doorway, the system being used to implement the above-described method, including:

[0194] The acquisition module is used to acquire the lining foundation parameters of the oblique section and the brim foundation parameters of the three-centered circular brim oblique cut-type portal, corresponding to S1 of the above method;

[0195] A module is established to establish the spatial curve control equations of four contour lines using the basic parameters of the oblique section lining and the basic parameters of the brim. The four contour lines include the inner contour line of the oblique section lining, the outer contour line of the oblique section lining, the inner contour line of the brim, and the outer contour line of the brim, corresponding to S2 of the above method.

[0196] The stitching module is used to generate a spatial surface by lofting based on four contour lines and stitching it to obtain a three-dimensional solid model of the brim, corresponding to S3 of the above method;

[0197] The generation module is used to generate a three-dimensional solid model of the tunnel body of the inclined section based on the foundation parameters of the inclined section lining, corresponding to S4 of the above method;

[0198] The combination module is used to combine the three-dimensional solid model of the brim and the three-dimensional solid model of the oblique section of the tunnel body to obtain the three-dimensional solid model of the three-centered circular brim oblique tunnel entrance, corresponding to S5 of the above method.

[0199] Those skilled in the art will understand that all or part of the functions of the embodiments of the present invention can be implemented by hardware or by computer program. When all or part of the functions in the above embodiments are implemented by computer program, the program can be stored in a computer-readable storage medium, which may include: read-only memory, random access memory, disk, optical disk, hard disk, etc., and the program is executed by a computer to achieve the above functions. For example, the program can be stored in the memory of a device, and when the program in the memory is executed by the processor, all or part of the above functions can be achieved. In addition, when all or part of the functions in the above embodiments are implemented by computer program, the program can also be stored in a storage medium such as a server, another computer, disk, optical disk, flash drive, or portable hard drive, and can be downloaded or copied to the memory of a local device, or the system of the local device can be updated. When the program in the memory is executed by the processor, all or part of the functions in the above embodiments can be achieved.

[0200] The above examples illustrate the present invention only to aid in understanding it and are not intended to limit the scope of the invention. Those skilled in the art can make various simple deductions, modifications, or substitutions based on the principles of this invention.

Claims

1. A parametric modeling method for a three-centered circular brim oblique-cut entrance, characterized by: The method includes: Obtain the lining foundation parameters of the oblique section and the cap-shaped foundation parameters of the three-centered circular cap-shaped archway; Using the foundation parameters of the oblique section lining and the brim foundation, spatial curve control equations for four contour lines are established. The four contour lines include the inner contour line of the oblique section lining, the outer contour line of the oblique section lining, the inner contour line of the brim, and the outer contour line of the brim. Spatial surfaces are generated by lofting from four contour lines and then stitched together to obtain a three-dimensional solid model of the brim; Based on the foundation parameters of the lining of the oblique section, a three-dimensional solid model of the tunnel body of the oblique section is generated; The three-dimensional solid model of the brim and the three-dimensional solid model of the oblique section of the tunnel are combined to obtain a three-dimensional solid model of the three-centered circular brim oblique tunnel entrance. in: Using the parameters of the oblique section lining foundation and the brim foundation, spatial curve control equations for four contour lines are established, including: The three-centered round brim oblique-cut doorway is divided into the left side wall, the arch and the right side wall; Divide the brim into 6 groups, with the inner and outer contours of each group lying on the same elliptical cone, resulting in 6 elliptical cones, namely: Group I, the left side wall of the inner contour line of the brim and the left side wall of the inner contour line of the oblique section lining; Group II, the arch of the inner contour line of the brim and the arch of the inner contour line of the oblique section lining; Group III, the right side wall of the inner contour line of the brim and the right side wall of the inner contour line of the oblique section lining; Group IV, the left side wall of the outer contour line of the brim and the left side wall of the outer contour line of the oblique section lining; Group V, the arch of the outer contour of the brim and the arch of the outer contour of the oblique section lining; Group VI, the right side wall of the outer contour line of the brim and the right side wall of the outer contour line of the oblique section lining; According to the grouping, the three-dimensional space curve control equations of all contour lines in each group are calculated; By combining the left sidewall, arch, and right sidewall of the contour lines respectively, we obtain the spatial curve control equations of the four contour lines. Based on the grouping, the three-dimensional space curve control equations for all contour lines in each group were calculated, including: Calculate and convert the brim length L new : in: h1' is the height of the center of the lining contour circle of each group from the top surface of the tunnel trench. r' is the lining contour radius corresponding to each group; The slope of the oblique section. =arctan(1 / k); θ' m The included angle of the brim for each group; w' represents the distance between the center of each group and the centerline of the tunnel. L' represents the brim length corresponding to each group; Calculate the angle between the sloping surface of the cap and the tunnel axis. : in: The length from the top of the ditch at the opening to the top of the cap arch in the side view; It is the length of the line segment from the top surface of the trench at the opening to the top of the cap arch in the side view, and parallel to the lining slope. Connect the endpoints of b11 and b12 on the brim in the side view; Calculate the characteristic parameters of the elliptical cone, including the major axis b of the ellipse at the base of the cone. yz minor axis a yz elliptical cone height h yz : in: p is the distance between the vertex of the elliptic cone and the endpoint of the major axis of the base of the elliptic cone; Calculate the control parameters of the elliptical curve of the brim outline formed by cutting the elliptical cone, including the coordinates of the ellipse center E(x,y,z), the major axis B, the minor axis A, and the three-dimensional rotation angle. : in: The angle between the plane containing the brim outline and the base of the elliptical cone; The angle between the height of the elliptic cone and the major axis of the base of the elliptic cone; The length of the projection of the ellipse outline of the brim onto the base of the elliptical cone; The width of the projection of the ellipse outline of the brim onto the base of the elliptical cone; Let be the angle by which the ellipse outlining the brim of the hat is rotated about the X-axis in the spatial coordinate system. The angle by which the ellipse outlining the brim of the hat is rotated about the Y-axis in the spatial coordinate system; The angle by which the ellipse outlining the brim of the hat is rotated about the Z-axis in the spatial coordinate system; Calculate the curve governing equations of the oblique section lining outline, including the major axis B' and minor axis A' of the ellipse, the coordinates of the ellipse center E'(x',y',z'), and the three-dimensional rotation angle. : in: The angle by which the ellipse of the obliquely cut lining contour line rotates about the X-axis in the spatial coordinate system; The angle by which the ellipse of the obliquely cut lining contour line rotates about the Y-axis in the spatial coordinate system; The angle by which the ellipse of the obliquely cut lining contour line rotates about the Z-axis in the spatial coordinate system; Substituting the known parameters from group I to group VI, we obtain the three-dimensional spatial curve control equations for all contour lines in each group; Based on the foundation parameters of the inclined section lining, a three-dimensional solid model of the inclined section tunnel body is generated, including: Based on the foundation parameters of the inclined section lining, draw the tunnel cross-section diagram on a two-dimensional plane; The tunnel cross-section diagram is stretched along the tunnel axis to obtain a three-dimensional solid model; Specify the position of the obliquely cut section of the tunnel entrance on the 3D solid model, and cut the 3D solid model along the oblique angle to obtain the 3D solid model of the obliquely cut section of the tunnel body. The parameters of the lining foundation for the oblique section include the centerline spacing a, the distance from the centerline to the side ditch b, the top surface width of the ditch c, the height from the rail surface to the arch top h, the height from the rail surface to the top surface of the ditch h0, the 1 / 2 angle of the arch θ1, the radius of the arch r1, the radius of the sidewall r2, and the lining thickness d.

2. The parametric modeling method for a three-centered circular brim oblique-cut entrance according to claim 1, characterized in that: Basic parameters of the brim include the included angle θ of the outer side of the brim. wc , the outer slant length of the brim L wc θ, the angle between the inner sides of the brim nc , the inner slant length of the brim L nc , Slope of the oblique section 1:k, Distance f from the oblique section to the opening.

3. The parametric modeling method for a three-centered circular brim oblique-cut entrance according to claim 2, characterized in that: The known parameters for groups I through VI include: Group I: Group II: Group III: Group IV: Group V: Group VI: .

4. A parametric modeling system for a three-centered circular brim beveled archway, characterized in that: The system is used to implement the method according to any one of claims 1-3, comprising: The acquisition module is used to acquire the lining foundation parameters of the oblique section and the cap-shaped foundation parameters of the three-centered circular cap-shaped archway. A module is established to create spatial curve control equations for four contour lines using the base parameters of the oblique section lining and the base parameters of the brim. The four contour lines include the inner contour line of the oblique section lining, the outer contour line of the oblique section lining, the inner contour line of the brim, and the outer contour line of the brim. The stitching module is used to generate a spatial surface by lofting based on four contour lines, and then stitching it together to obtain a three-dimensional solid model of the brim. The generation module is used to generate a three-dimensional solid model of the inclined section tunnel body based on the foundation parameters of the inclined section lining. The combination module is used to combine the 3D solid model of the brim and the 3D solid model of the oblique section of the tunnel body to obtain a 3D solid model of the three-centered circular brim oblique tunnel entrance.

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