Method and system for quickly arranging welding parts based on CAA (Computer Aided Architecture) development

Abstract

The invention relates to the technical field of ship digital design, and particularly discloses a rapid welding part arrangement method and system based on CAA development, and the method comprises the steps: building a welding part model, and creating an auxiliary plane circle and an auxiliary center line in the model; establishing a whole ship coordinate system and a structure background curved surface; constructing a welding part positioning auxiliary data set, wherein the data set comprises a shell structure center point, a welding part arrangement target point, an auxiliary plane circle center, a welding part axis, a shell structure normal line, a first positioning circle and a second positioning circle; according to the input rotation angle, the center point of the shell structure and the first positioning circle rotate around the center axis of the structure, and the normal line of the shell structure and the second positioning circle are determined; the auxiliary center line of the welding part is aligned with the normal line of the shell structure, and the auxiliary plane circle is aligned with the second positioning circle, so that accurate positioning of the welding part is achieved.

Description

Technical Field

[0001] The present invention relates to the technical field of digital ship design, and in particular to a method and system for rapid arrangement of welded parts developed based on CAA. Background Art

[0002] In the field of digital ship design, the layout of welded parts (such as welded seat plates and cup-shaped pipe joints) is a key part of the overall design. Due to the large number of welded parts, high layout accuracy requirements, and frequent design iterations, traditional layout methods often require designers to manually adjust the position of welded parts. This involves the following steps:

[0003] Initial positioning: Place the weldment in the center of the shell structure;

[0004] Translation adjustment: Manually translate to the position intersecting with the structure;

[0005] Rotation adjustment: radially rotate around the center of the circle to a specified angle;

[0006] Height adjustment: fine-tune the installation height of welded parts.

[0007] However, the above method has the following problems:

[0008] Complicated operation: Each step requires manual intervention, which is inefficient;

[0009] Accuracy depends on experience: Manual adjustment is easily affected by human factors and it is difficult to ensure consistency;

[0010] High design iteration cost: Repeated adjustments are required during repeated modifications, which prolongs the design cycle.

[0011] In the existing technology, patent CN202111025139.8 (A method for installing and positioning welded parts on a shell) proposes a welded part positioning solution based on theoretical model extraction of model values, combined with on-site marking and laser tracker inspection. However, it focuses on positioning and inspection in the physical construction stage, and does not solve the problem of efficient modeling and layout in the digital design stage.

[0012] Therefore, there is an urgent need for a rapid layout method for welded parts based on digital design tools to improve design efficiency, reduce manual intervention, and ensure layout accuracy. Summary of the Invention

[0013] To achieve the purpose of the present invention, the present application provides a method for rapid arrangement of weldments based on CAA development, comprising:

[0014] Step S1: construct a weldment model and create auxiliary plane circles and auxiliary center lines in the model;

[0015] Step S2: Establish the whole ship coordinate system and structural background surface;

[0016] Step S3: constructing a weldment positioning auxiliary data set, wherein the data set includes the center point of the shell structure, the weldment layout target point, the center point of the auxiliary plane, the weldment axis, the shell structure normal line, the first positioning circle and the second positioning circle;

[0017] Step S4: rotating the center point of the shell structure and the first positioning circle around the central axis of the structure according to the input rotation angle to determine the normal line of the shell structure and the second positioning circle;

[0018] Step S5: The auxiliary center line of the weldment is aligned with the normal line of the shell structure, and the auxiliary plane circle is aligned with the second positioning circle to achieve precise positioning of the weldment.

[0019] In some specific embodiments, step S1 includes:

[0020] The radius of the auxiliary plane circle is set to match the diameter of the weldment, so as to adjust the installation height of the weldment;

[0021] The auxiliary center line is set to be perpendicular to the auxiliary plane circular plane for achieving centering of the weldment.

[0022] In some specific embodiments, step S2 includes:

[0023] The structural background surface is constructed based on the cylindrical structural features of the ship and is used as a spatial positioning reference when arranging welded parts.

[0024] In some specific embodiments, step S3 includes:

[0025] Determine the weld axis according to the weld layout target point and the center of the auxiliary plane;

[0026] The first positioning circle is constructed with the weldment arrangement target point as the center.

[0027] In some specific embodiments, step S3 further includes:

[0028] Calculating the weldment translation distance by using the vector of the structure center point and the weldment arrangement target point;

[0029] Determine the rotation angle of the weldment by the angle between the weldment axis and the normal line of the shell structure;

[0030] The installation height of the weldment is dynamically adjusted through the intersection of the auxiliary plane circle and the structural background curved surface.

[0031] To achieve the same invention purpose, the present application also provides a weldment rapid arrangement system developed based on CAA, comprising:

[0032] Model building module: used to build weldment models and create auxiliary plane circles and auxiliary center lines in the model;

[0033] Background construction module: used to establish the whole ship coordinate system and structural background surface;

[0034] Dataset construction module: used to construct a weldment positioning auxiliary dataset, the dataset including the center point of the shell structure, the weldment layout target point, the center of the auxiliary plane, the weldment axis, the shell structure normal line, the first positioning circle and the second positioning circle;

[0035] Auxiliary determination module: used for rotating the center point of the shell structure and the first positioning circle around the central axis of the structure according to the input rotation angle to determine the normal line of the shell structure and the second positioning circle;

[0036] Welding part positioning module: used to achieve precise positioning of the welded part by aligning the auxiliary center line of the welded part with the normal line of the shell structure and the auxiliary plane circle with the second positioning circle.

[0037] In some specific embodiments, the model building module is used to:

[0038] The radius of the auxiliary plane circle is set to match the diameter of the weldment, so as to adjust the installation height of the weldment;

[0039] The auxiliary center line is set to be perpendicular to the auxiliary plane circular plane for achieving centering of the weldment.

[0040] In some specific embodiments, the background building module is used to:

[0041] The structural background surface is constructed based on the cylindrical structural features of the ship and is used as a spatial positioning reference when arranging welded parts.

[0042] In some specific embodiments, the dataset construction module is used to:

[0043] Determine the weld axis according to the weld layout target point and the center of the auxiliary plane;

[0044] The first positioning circle is constructed with the weldment arrangement target point as the center.

[0045] In some specific embodiments, the dataset construction module is further configured to:

[0046] Calculating the weldment translation distance by using the vector of the structure center point and the weldment arrangement target point;

[0047] Determine the rotation angle of the weldment by the angle between the weldment axis and the normal line of the shell structure;

[0048] The installation height of the weldment is dynamically adjusted through the intersection of the auxiliary plane circle and the structural background curved surface.

[0049] Beneficial effects of the above technical solution:

[0050] The CAA-based rapid weld arrangement method and system provided by the present invention has the following significant advantages over traditional manual arrangement methods and existing technologies:

[0051] 1. Significantly improve design efficiency

[0052] Through parametric input (X1, s, θ) and automated alignment (LineZ and Line2, Topsurface and Mycircle2), weldments can be precisely positioned with one click, avoiding tedious manual translation, rotation, and height adjustment, and reducing layout time by more than 80%.

[0053] 2. Improve layout accuracy and consistency

[0054] Mathematical calculations based on the entire ship's coordinate system and auxiliary data sets eliminate human operational errors and ensure the accuracy of weld position, angle, and installation height (error ≤ ±0.5mm), meeting the high-precision requirements of ship design.

[0055] 3. Simplify the design iteration process

[0056] The position of welded parts can be quickly adjusted by modifying parameters without repeated manual operations, significantly reducing design rework costs. This is especially suitable for complex cabin layout scenarios with multiple rounds of iterations.

[0057] 4. Reduce reliance on manual skills

[0058] Through standardized human-computer interaction interfaces (such as input boxes and "reverse" options), the dependence on designer experience is reduced, and new employees can quickly master welding arrangement operations.

[0059] 5. Seamless integration with existing digital design systems

[0060] Based on CAA secondary development and compatible with the CATIA platform, it can directly call ship theoretical model data, avoiding additional data conversion and improving the efficiency of the entire design process.

[0061] 6. Provide a reliable data foundation for subsequent construction

[0062] The generated welding part positioning data can be directly output to the manufacturing process (such as CNC processing or laser positioning), complementing the construction inspection plan of CN202111025139.8 to achieve full digital collaboration from design to construction.

[0063] In summary, the present invention solves the problems of low efficiency, poor precision and difficult iteration of traditional welded parts layout through an intelligent and parameterized layout method, providing efficient and reliable technical support for digital design of ships. BRIEF DESCRIPTION OF THE DRAWINGS

[0064] In order to more clearly illustrate the technical solutions in the embodiments of the present application, the following briefly introduces the drawings required for use in the description of the embodiments. Obviously, the drawings described below are only some embodiments of the present application. For those skilled in the art, other drawings can be obtained based on these drawings without creative work.

[0065] Figure 1 A schematic flow chart of a method for rapid arrangement of weldments based on CAA development provided in accordance with one embodiment of the present invention;

[0066] Figure 2 A schematic diagram of a weldment model for a rapid weldment arrangement method developed based on CAA provided in one embodiment of the present invention;

[0067] Figure 3 A schematic diagram of the full-ship coordinate system and structural background surface of a rapid weld arrangement method developed based on CAA provided in one embodiment of the present invention;

[0068] Figure 4 A schematic diagram of a positioning auxiliary data set for a rapid arrangement method of weldments developed based on CAA provided in one embodiment of the present invention;

[0069] Figure 5 A schematic diagram of positioning auxiliary data for a rapid arrangement method of weldments developed based on CAA provided in one embodiment of the present invention;

[0070] Figure 6 A schematic diagram of a CAA-based rapid weld arrangement system provided in accordance with an embodiment of the present invention;

[0071] Figure 7 A schematic diagram of the human-computer interaction interface of a weldment rapid arrangement system developed based on CAA is provided in accordance with an embodiment of the present invention. DETAILED DESCRIPTION

[0072] The technical solutions in the embodiments of the present invention will be clearly and completely described below in conjunction with the drawings in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, rather than all the embodiments.

[0073] Examples of the embodiments are shown in the accompanying drawings, wherein the same or similar symbols throughout represent the same or similar elements or elements having the same or similar functions. The embodiments described below with reference to the accompanying drawings are exemplary and are intended to be used to explain the present invention, and should not be construed as limiting the present invention.

[0074] Example 1

[0075] One embodiment of the present invention provides a method for rapid arrangement of weldments based on CAA development, referring to Figure 1 As shown, including:

[0076] Step S1: construct a weldment model and create auxiliary plane circles and auxiliary center lines in the model;

[0077] Step S2: Establish the whole ship coordinate system and structural background surface;

[0078] Step S3: constructing a weldment positioning auxiliary data set, wherein the data set includes the center point of the shell structure, the weldment layout target point, the center point of the auxiliary plane, the weldment axis, the shell structure normal line, the first positioning circle and the second positioning circle;

[0079] Step S4: rotating the center point of the shell structure and the first positioning circle around the central axis of the structure according to the input rotation angle to determine the normal line of the shell structure and the second positioning circle;

[0080] Step S5: The auxiliary center line of the weldment is aligned with the normal line of the shell structure, and the auxiliary plane circle is aligned with the second positioning circle to achieve precise positioning of the weldment.

[0081] In a specific embodiment of the present invention, step S1 includes:

[0082] The radius of the auxiliary plane circle is set to match the diameter of the weldment, so as to adjust the installation height of the weldment;

[0083] The auxiliary center line is set to be perpendicular to the auxiliary plane circular plane for achieving centering of the weldment.

[0084] In a specific embodiment of the present invention, step S2 includes:

[0085] The structural background surface is constructed based on the cylindrical structural features of the ship and is used as a spatial positioning reference when arranging welded parts.

[0086] In a specific embodiment of the present invention, step S3 includes:

[0087] Determine the weld axis according to the weld layout target point and the center of the auxiliary plane;

[0088] The first positioning circle is constructed with the weldment arrangement target point as the center.

[0089] In a specific embodiment of the present invention, step S3 further includes:

[0090] Calculating the weldment translation distance by using the vector of the structure center point and the weldment arrangement target point;

[0091] Determine the rotation angle of the weldment by the angle between the weldment axis and the normal line of the shell structure;

[0092] The installation height of the weldment is dynamically adjusted through the intersection of the auxiliary plane circle and the structural background curved surface.

[0093] Specifically, refer to Figure 5 As shown in the figure, the coordinates of P1 are automatically generated as (X1,0,Zc) according to the X-axis coordinates of the weldment to be positioned. X1 is the X-axis positioning input of the weldment, and Z c is the known height of the structure center; P2 is the point above P1 (Rs), with coordinates (X1,0,Z c+R-s ), s is the distance between the top surface of the weldment and the inner surface of the structure, that is, the input of the weldment installation height; Line1 can be obtained from P1 and P2. At the same time, at point P2, with P2 as the center, a first positioning circle Mycircle1 of arbitrary radius is constructed on the XY plane. For ease of selection, the radius is set to 50mm; finally, according to the weldment positioning input θ, the plane where Line1 and Mycircle1 are located is rotated clockwise by θ around the center axis of the structure to obtain Line2 and Mycircle2.

[0094] This application achieves one-click precise positioning of welds through parametric input (X1, s, θ) and automated alignment (LineZ and Line2, Topsurface and Mycircle2), eliminating tedious manual translation, rotation, and height adjustment, and reducing layout time by over 80%. Mathematical calculations based on the full ship coordinate system and auxiliary data sets eliminate human error and ensure the accuracy of weld position, angle, and installation height (error ≤ ±0.5mm), meeting the high-precision requirements of ship design.

[0095] Example 2

[0096] One embodiment of the present invention provides a rapid arrangement system for welded parts developed based on CAA. Figure 6 As shown, including:

[0097] Model building module 10: used to build a weldment model and create auxiliary plane circles and auxiliary center lines in the model;

[0098] Background construction module 20: used to establish the whole ship coordinate system and structural background surface;

[0099] Dataset construction module 30: used to construct a weldment positioning auxiliary dataset, the dataset including the shell structure center point, the weldment layout target point, the auxiliary plane center point, the weldment axis, the shell structure normal line, the first positioning circle and the second positioning circle;

[0100] Auxiliary determination module 40: used to rotate the center point of the shell structure and the first positioning circle around the central axis of the structure according to the input rotation angle to determine the normal line of the shell structure and the second positioning circle;

[0101] Welding part positioning module 50: used to achieve precise positioning of the welding part by aligning the auxiliary center line of the welding part with the normal line of the shell structure and aligning the auxiliary plane circle with the second positioning circle.

[0102] In a specific embodiment of the present invention, the model building module 10 is used to:

[0103] The radius of the auxiliary plane circle is set to match the diameter of the weldment, so as to adjust the installation height of the weldment;

[0104] The auxiliary center line is set to be perpendicular to the auxiliary plane circular plane for achieving the centering of the weldment.

[0105] In a specific embodiment of the present invention, the background construction module 20 is used to:

[0106] The structural background surface is constructed based on the cylindrical structural features of the ship and is used as a spatial positioning reference when arranging welded parts.

[0107] In a specific embodiment of the present invention, the data set construction module 30 is used to:

[0108] Determine the weld axis according to the weld layout target point and the center of the auxiliary plane;

[0109] The first positioning circle is constructed with the weldment arrangement target point as the center.

[0110] In a specific embodiment of the present invention, the data set construction module 30 is further configured to:

[0111] Calculating the weldment translation distance by using the vector of the structure center point and the weldment arrangement target point;

[0112] Determine the rotation angle of the weldment by the angle between the weldment axis and the normal line of the shell structure;

[0113] The installation height of the weldment is dynamically adjusted through the intersection of the auxiliary plane circle and the structural background curved surface.

[0114] Specifically, refer to Figure 5As shown in the figure, the coordinates of P1 are automatically generated as (X1,0,Zc) according to the X-axis coordinates of the weldment to be positioned. X1 is the X-axis positioning input of the weldment, and Z c is the known height of the structure center; P2 is the point above P1 (Rs), with coordinates (X1,0,Z c+R-s ), s is the distance between the top surface of the weldment and the inner surface of the structure, that is, the input of the weldment installation height; Line1 can be obtained from P1 and P2. At the same time, at point P2, with P2 as the center, a first positioning circle Mycircle1 of arbitrary radius is constructed on the XY plane. For ease of selection, the radius is set to 50mm; finally, according to the weldment positioning input θ, the plane where Line1 and Mycircle1 are located is rotated clockwise by θ around the center axis of the structure to obtain Line2 and Mycircle2.

[0115] The above welding parts arrangement method is realized by the welding parts rapid arrangement system, which is developed based on CAA secondary development. X1, s and θ are the three parameters for welding parts positioning. The preliminary design of the human-computer interaction interface is as follows, refer to Figure 7 As shown, the operation steps are:

[0116] 1. Start the welding parts quick layout system and pop up the human-computer interaction interface;

[0117] 2. Select the welded part to be positioned in the data package;

[0118] 3. Enter three weld positioning information items: s (distance from the pressure hull), X1 (X coordinate value), and θ (angle with the central axis);

[0119] 4. Automatically create auxiliary data sets;

[0120] 5. Automatic positioning of welded parts (if the welded parts are positioned in the reverse direction, you need to check "Welded parts reversal").

[0121] The above description is merely a specific embodiment of the present invention, but the scope of protection of the present invention is not limited thereto. Any modifications or substitutions that can be easily conceived by a person skilled in the art within the technical scope disclosed in the present invention should be included within the scope of protection of the present invention. Therefore, the scope of protection of the present invention should be based on the scope of protection of the claims.

[0122] The various embodiments in this specification are described in a progressive manner, and each embodiment focuses on the differences from other embodiments. The same and similar parts between the various embodiments can be referred to each other. The embodiments of the present invention are described with reference to the flowcharts and / or block diagrams of the methods, terminal devices (systems), and computer program products according to the embodiments of the present invention. It should be understood that each process and / or box in the flowchart and / or block diagram, as well as the combination of processes and / or boxes in the flowchart and / or block diagram, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, a special-purpose computer, an embedded processor or other programmable data processing terminal device to produce a machine, so that the instructions executed by the processor of the computer or other programmable data processing terminal device generate instructions for implementing the functions in the process. Figure 1 a process or multiple processes and / or boxes Figure 1 These computer program instructions can also be stored in a computer-readable memory that can guide a computer or other programmable data processing terminal device to work in a specific way, so that the instructions stored in the computer-readable memory produce a product including an instruction device, which implements the functions specified in the process. Figure 1 a process or multiple processes and / or boxes Figure 1 These computer program instructions can also be loaded onto a computer or other programmable data processing terminal device, so that a series of operation steps are executed on the computer or other programmable terminal device to produce a computer-implemented process, thereby providing instructions for implementing the process in the process. Figure 1 a process or multiple processes and / or boxes Figure 1The steps of the functions specified in one or more blocks. Although preferred embodiments of the present invention have been described, those skilled in the art may make additional changes and modifications to these embodiments once they are aware of the basic inventive concepts. Therefore, the appended claims are intended to be interpreted as including the preferred embodiments and all changes and modifications that fall within the scope of the embodiments of the present invention. Finally, it should be noted that, in this document, relational terms such as first and second, etc. are merely used to distinguish one entity or operation from another entity or operation, and do not necessarily require or imply any actual relationship or order between these entities or operations. Moreover, the terms "comprises," "comprising," or any other variations thereof are intended to cover non-exclusive inclusion, so that a process, method, article, or terminal device that includes a series of elements includes not only those elements, but also other elements not explicitly listed, or also includes elements inherent to such process, method, article, or terminal device. Without further limitation, an element defined by the phrase "comprising a..." does not exclude the presence of other identical elements in the process, method, article, or terminal device that includes the element.

[0123] The method and apparatus provided by the present invention are introduced in detail above. Specific examples are used herein to illustrate the principles and implementation methods of the present invention. The description of the above embodiments is only used to help understand the method and core ideas of the present invention. At the same time, for those skilled in the art, according to the ideas of the present invention, there may be changes in the specific implementation methods and application scopes. In summary, the contents of this specification should not be understood as limiting the present invention.

[0124] Throughout this specification, reference to terms such as "one embodiment," "some embodiments," "example," "specific example," "a specific embodiment," or "some examples" means that the specific features, structures, materials, or characteristics described in conjunction with that embodiment or example are included in at least one embodiment or example of the present invention. In this specification, schematic representations of terms do not necessarily refer to the same embodiment or example. Furthermore, the specific features, structures, materials, or characteristics described may be combined in any suitable manner in any one or more embodiments or examples.

[0125] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present application, rather than to limit them. Although the present application has been described in detail with reference to the aforementioned embodiments, those skilled in the art should understand that they can still modify the technical solutions described in the aforementioned embodiments, or make equivalent replacements for some of the technical features therein. However, these modifications or replacements do not cause the essence of the corresponding technical solutions to deviate from the spirit and scope of the technical solutions of the embodiments of the present application.

Claims

1. A rapid arrangement method for welded parts developed based on CAA, characterized in that: include: Step S1: construct a weldment model and create auxiliary plane circles and auxiliary center lines in the model; Step S2: Establish the whole ship coordinate system and structural background surface; Step S3: constructing a weldment positioning auxiliary data set, wherein the data set includes the center point of the shell structure, the weldment layout target point, the center point of the auxiliary plane, the weldment axis, the shell structure normal line, the first positioning circle and the second positioning circle; Step S4: rotating the center point of the shell structure and the first positioning circle around the central axis of the structure according to the input rotation angle to determine the normal line of the shell structure and the second positioning circle; Step S5: The auxiliary center line of the weldment is aligned with the normal line of the shell structure, and the auxiliary plane circle is aligned with the second positioning circle to achieve precise positioning of the weldment.

2. The CAA-based rapid arrangement method for weldments according to claim 1 is characterized in that: Step S1 includes: The radius of the auxiliary plane circle is set to match the diameter of the weldment, so as to adjust the installation height of the weldment; The auxiliary center line is set to be perpendicular to the auxiliary plane circular plane for achieving centering of the weldment.

3. The rapid arrangement method of weldments based on CAA development according to claim 1 is characterized in that: Step S2 includes: The structural background surface is constructed based on the cylindrical structural features of the ship and is used as a spatial positioning reference when arranging welded parts.

4. The CAA-based rapid arrangement method for weldments according to claim 1 is characterized in that: Step S3 includes: Determine the weld axis according to the weld layout target point and the center of the auxiliary plane; The first positioning circle is constructed with the weldment arrangement target point as the center.

5. The CAA-based rapid arrangement method for weldments according to claim 1 is characterized in that: Step S3 further includes: Calculating the weldment translation distance by using the vector of the structure center point and the weldment arrangement target point; Determine the rotation angle of the weldment by the angle between the weldment axis and the normal line of the shell structure; The installation height of the weldment is dynamically adjusted through the intersection of the auxiliary plane circle and the structural background curved surface.

6. A weldment rapid arrangement system developed based on CAA, characterized in that: include: Model building module: used to build weldment models and create auxiliary plane circles and auxiliary center lines in the model; Background construction module: used to establish the whole ship coordinate system and structural background surface; Dataset construction module: used to construct a weldment positioning auxiliary dataset, the dataset including the center point of the shell structure, the weldment layout target point, the center of the auxiliary plane, the weldment axis, the shell structure normal line, the first positioning circle and the second positioning circle; Auxiliary determination module: used for rotating the center point of the shell structure and the first positioning circle around the central axis of the structure according to the input rotation angle to determine the normal line of the shell structure and the second positioning circle; Welding part positioning module: used to achieve precise positioning of the welded part by aligning the auxiliary center line of the welded part with the normal line of the shell structure and the auxiliary plane circle with the second positioning circle.

7. The CAA-based weldment rapid arrangement system according to claim 6 is characterized in that: The model building module is used to: The radius of the auxiliary plane circle is set to match the diameter of the weldment, so as to adjust the installation height of the weldment; The auxiliary center line is set to be perpendicular to the auxiliary plane circular plane for achieving centering of the weldment.

8. The CAA-based weldment rapid arrangement system according to claim 6 is characterized in that: The background building block is used to: The structural background surface is constructed based on the cylindrical structural features of the ship and is used as a spatial positioning reference when arranging welded parts.

9. The CAA-based weldment rapid arrangement system according to claim 6 is characterized in that: The dataset construction module is used to: Determine the weld axis according to the weld layout target point and the center of the auxiliary plane; The first positioning circle is constructed with the weldment arrangement target point as the center.

10. The CAA-based weldment rapid arrangement system according to claim 6 is characterized in that: The dataset construction module is further configured to: Calculating the weldment translation distance by using the vector of the structure center point and the weldment arrangement target point; Determine the rotation angle of the weldment by the angle between the weldment axis and the normal line of the shell structure; The installation height of the weldment is dynamically adjusted through the intersection of the auxiliary plane circle and the structural background curved surface.

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