Construction method of zipper horizontal pulling force determination model and related equipment

By decomposing the zipper flat tension strength to friction and shear bearing capacity, and building a definite model based on the stress balance conditions and the inclination angle of the tooth head, the problem of inaccurate prediction of the zipper flat tension strength in the prior art is solved, and efficient optimization design of different materials and tooth head structures is achieved.

CN119989826AActive Publication Date: 2025-05-13QUANZHOU INST OF EQUIP MFG +1

Patent Information

Application Number
CN202510459300.4
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2025-04-14
Publication Date
2025-05-13
Estimated Expiration
2045-04-14

AI Technical Summary

Technical Problem

The prior art is difficult to accurately predict the flat tension strength of the zipper, which leads to insufficient optimization of the tooth head structure and is prone to problems such as zipper falling off, breaking, missing and deformation of the tooth head.

Method used

By decomposing the zipper flat tension force to make the friction and shear bearing capacity on the contact surface between the tooth head and the alveolar, and constructing a zipper flat tension force determination model based on the stress balance condition and the inclination angle of the tooth head. The model combines simulation data from finite element analysis for reverse calibration, optimizes the initial coefficient combination, and establishes the target coefficient combination.

Benefits of technology

It significantly reduces the dependence of physical experiments, improves the accuracy of zipper flat tension strength prediction and the efficiency of zipper optimization design, and is suitable for different materials and tooth head structures.

✦ Generated by Eureka AI based on patent content.

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Abstract

The invention provides a construction method of a zipper horizontal pulling strength determination model and related equipment, and the method comprises the steps: constructing a first expression of the zipper horizontal pulling strength according to the friction force and the shear bearing force of the zipper horizontal pulling strength decomposition on the contact surface of a tooth head and a tooth groove, the shear bearing capacity is obtained according to the effective contact width of the tooth head, the effective occlusion depth of the tooth socket and the shear strength expression of the zipper material; based on the stress balance condition, a second expression of the horizontal pulling strength of the zipper is constructed according to the dip angle of the tooth head, the friction force and the normal force corresponding to the friction force; the first expression and the second expression are combined to construct a zipper horizontal pulling strength determination model, the zipper horizontal pulling strength determination model suitable for different materials and different tooth head structures is constructed, and the efficiency of horizontal pulling strength prediction and zipper optimization design is improved.
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Description

Technical Field

[0001] The present application relates to the technical field of zipper parameter design, and in particular to a method for constructing a zipper flat-pull strength determination model and related equipment. Background Art

[0002] Zipper tensile strength is an indicator to measure the tensile strength, abrasion resistance, crack resistance, and material and process matching of zippers. At present, the industry mainly relies on experimental testing to obtain this indicator. Physical testing requires a large number of samples, and there are limitations such as time-consuming experimental process, high cost and low efficiency. Due to the lack of an accurate zipper tensile strength calculation model, the zipper tooth structure is not optimized enough, which makes it easy for the zipper slider to fall off and break, the tooth head to be missing and deformed, the zipper to fail to bite, and the zipper tape edge to crack or the stitching to fall off. Summary of the invention

[0003] The present application provides a method for constructing a zipper flat pull strength determination model and related equipment, constructing a zipper flat pull strength determination model suitable for different materials and different tooth head structures, thereby improving the efficiency of flat pull strength prediction and zipper optimization design.

[0004] In a first aspect, the present application provides a method for constructing a zipper flat pull strength determination model, the method comprising: According to the friction force and shear bearing capacity on the contact surface between the tooth head and the tooth socket decomposed by the zipper flat pull strength, the first expression of the zipper flat pull strength is constructed, and the shear bearing capacity is expressed according to the effective contact width of the tooth head, the effective bite depth of the tooth socket and the shear strength of the zipper material; based on the force balance condition, the second expression of the zipper flat pull strength is constructed according to the inclination angle of the tooth head, the friction force, and the normal force corresponding to the friction force; the zipper flat pull strength determination model is constructed by combining the first expression and the second expression.

[0005] In some embodiments of the first aspect, a zipper flat pull strength determination model is constructed by combining the first expression and the second expression, including: constructing an initial zipper flat pull strength determination model by combining the first expression and the second expression; obtaining a relevant simulation data set of the zipper subjected to the zipper flat pull strength obtained based on finite element analysis, the relevant simulation data set including the simulated zipper flat pull strength of the zipper, and the simulated effective contact width corresponding to the simulated zipper flat pull strength, the simulated effective bite depth of the tooth socket, the simulated shear strength of the zipper material and the simulated inclination angle of the tooth head; reverse calibrating the initial coefficient combination of the initial zipper flat pull strength model according to the simulation data set to obtain the target coefficient combination, and establishing the zipper flat pull strength determination model.

[0006] In some embodiments of the first aspect, the target coefficient combination includes a target bite coefficient and a target friction coefficient.

[0007] In some embodiments of the first aspect, a first expression for the flat pull strength of the zipper is as follows:

[0008] in, Indicates the zipper's flat pull strength. is the shear bearing capacity, Indicates the effective occlusal depth of the alveolar socket. Indicates the shear strength of the zipper material. Indicates the effective contact width of the tooth head. represents the friction force, represents the initial friction coefficient, Represents the normal force.

[0009] In some embodiments of the first aspect, a second expression for the zipper flat pull strength is as follows:

[0010] in, Indicates the inclination angle of the tooth head. Represents the initial bite coefficient.

[0011] In some embodiments of the first aspect, the zipper flat pull strength determination model is as follows:

[0012] in, represents the target bite coefficient, Represents the target friction coefficient.

[0013] In some embodiments of the first aspect, after constructing the zipper flat pull strength determination model, the method also includes: obtaining the effective contact width of the tooth head, the effective bite depth of the tooth socket, the shear strength of the zipper material and the inclination angle of the tooth head, inputting the zipper flat pull strength determination model, and outputting the zipper flat pull strength.

[0014] In some embodiments of the first aspect, after constructing the zipper flat pull strength determination model, the method also includes: obtaining a determination model of the effective contact width, the effective bite depth of the tooth socket, the shear strength of the zipper material, or the inclination angle of the tooth head based on the zipper flat pull strength determination model transformation.

[0015] In a second aspect, the present application provides an electronic device, including: a processor and a memory; The memory is coupled to the processor, the memory is used to store computer program codes, and the processor calls the computer program codes to enable the electronic device to execute the method as described in the first aspect.

[0016] The present application provides a computer-readable storage medium in a third aspect, on which a computer program is stored. When the computer program is executed by a processor, the method of the first aspect is implemented.

[0017] It can be understood that the method for constructing a zipper flat-pull strength determination model and related equipment provided in the present application, by decomposing the zipper flat-pull strength into the friction force and shear bearing capacity on the contact surface between the tooth head and the tooth socket (the shear bearing capacity is expressed based on the effective contact width of the tooth head, the effective bite depth of the tooth socket and the shear strength of the zipper material), and based on the force balance condition and the inclination angle of the tooth head, the mechanical relationship between the flat-pull strength and the friction force and the normal force corresponding to the friction force is considered to construct a zipper flat-pull strength determination model, taking into account the geometric parameters of the zipper and the mechanical properties of the materials. The zipper flat-pull strength determination model is suitable for different materials (brass, stainless steel, etc.) and different tooth head structures (trapezoidal, semicircular, etc.), significantly reducing dependence on physical experiments, and improving the efficiency of flat-pull strength (i.e., zipper strength) prediction and zipper optimization design. BRIEF DESCRIPTION OF THE DRAWINGS

[0018] The accompanying drawings, which are incorporated in and constitute a part of this specification, illustrate embodiments consistent with the present application and, together with the description, serve to explain the principles of the present application.

[0019] Figure 1 A schematic diagram of a process for constructing a zipper flat pull strength determination model provided in an embodiment of the present application; Figure 2 A diagram of an application scenario of a method for constructing a zipper flat pull strength determination model provided in an embodiment of the present application; Figure 3 Another application scenario diagram of the method for constructing a zipper flat pull strength determination model provided in an embodiment of the present application; Figure 4 A schematic diagram of the structure of an electronic device provided in an embodiment of the present application.

[0020] The above drawings have shown clear embodiments of the present application, which will be described in more detail later. These drawings and text descriptions are not intended to limit the scope of the present application in any way, but to illustrate the concept of the present application to those skilled in the art by referring to specific embodiments. DETAILED DESCRIPTION

[0021] Here, exemplary embodiments will be described in detail, and examples thereof are shown in the accompanying drawings. When the following description refers to the drawings, unless otherwise indicated, the same numbers in different drawings represent the same or similar elements. The implementations described in the following exemplary embodiments do not represent all implementations consistent with the present application.

[0022] The terms "first", "second", etc. involved in this application are used for descriptive purposes only and should not be understood as indicating or implying relative importance or implicitly indicating the number of the indicated technical features.

[0023] The following specific embodiments are used to describe in detail the technical solution of the present application and how the technical solution of the present application solves the technical problem. The following specific embodiments can be combined with each other, and the same or similar concepts or processes may not be described in detail in some embodiments.

[0024] See also Figure 1 and Figure 2 , Figure 1 The present invention provides a schematic flow chart of a method for constructing a zipper flat pull strength determination model. The execution subject of the method can be an electronic device, including a desktop computer, a server, a smart phone or a laptop computer. Figure 1 As shown, the construction method may include the following steps: Step S110: constructing a first expression for the zipper's flat-pull strength by decomposing the friction force and the shear bearing capacity on the contact surface between the tooth head and the tooth groove according to the zipper's flat-pull strength.

[0025] like Figure 2 As shown, the zipper includes chain teeth, and the chain teeth include a tooth head and a tooth groove. When the tooth head of one chain tooth and the tooth groove of another chain tooth are engaged, the zipper is closed, and a pulling force is applied to the closed zipper in the horizontal direction until the zipper breaks or the chain teeth are separated. The maximum pulling force of the zipper is the flat pull strength of the zipper. At the same time, the contact surface between the tooth head and the tooth groove (the contact surface is an arc surface) will generate friction and shear bearing capacity. The tooth groove will flip due to the extrusion of the tooth head, which will cause the tooth head to slip. The shear bearing capacity is the ultimate bearing capacity of the tooth groove wall to resist the extrusion and bending of the tooth head. Friction force can also cause the tooth head to slip. Friction force is the resistance to the relative sliding of the tooth head and the tooth groove. The shear bearing capacity and friction force can be regarded as two forces decomposed from the flat pull strength of the zipper.

[0026] For example, in combination Figure 3 As shown, the first expression of the zipper flat pull strength is as follows:

[0027] in, Indicates the flat pull strength of the zipper, in N. Indicates shear bearing capacity in N. Indicates the effective occlusal depth of the alveolar socket, in mm. Indicates the shear strength of the zipper material, in MPa. Indicates the effective contact width of the tooth head, in mm. Indicates the friction force, in N, Represents the initial friction coefficient, which can be preset as an empirical value. Represents the normal force, unit is N. It can be understood that the shear bearing capacity According to the effective contact width of the tooth head , effective occlusal depth of the alveolar and the shear strength of the zipper material The actual direction of the zipper's flat pulling force calculated based on the sum of shear bearing capacity and friction force is consistent with the ideal direction, with an accuracy of more than 80%.

[0028] Step S120: Based on the force balance condition, a second expression of the zipper flat pulling strength is constructed according to the inclination angle of the tooth head, the friction force, and the normal force corresponding to the friction force.

[0029] like Figure 3 As shown, the tension (or zipper flat pull strength) ) acts on the zipper, a bite force is generated between the tooth socket and the tooth head (that is, the total force of the interaction between the tooth head and the tooth socket) (not shown in the figure), and the zipper flat pull strength and the bite force meet the force balance condition, that is, the zipper flat pull strength is equal to the bite force, and the bite force can be decomposed into the friction force and the normal force of the contact surface. Therefore, according to the force balance condition and the force decomposition relationship, an expression between the zipper flat pull strength, the friction force and the normal force can be constructed, that is, the second expression.

[0030] For example, Figure 3 As shown in the force diagram, the normal force The size of the tooth is affected by the inclination angle of the tooth head. The influence of the zipper can be calculated by combining the principles of mechanics and trigonometric functions to obtain the second expression of the zipper's horizontal pulling strength as shown below:

[0031] in, Indicates the inclination angle of the tooth head, unit: °, Represents the initial bite coefficient, which can be set as an empirical value.

[0032] Step S130: A zipper flat pull strength determination model is constructed by combining the first expression and the second expression.

[0033] Exemplarily, the zipper flat pull strength determination model formula is as follows:

[0034] in, represents the target bite coefficient, It represents the target friction coefficient. The initial bite coefficient and the initial friction coefficient can be optimized by the relevant algorithm to obtain the target bite coefficient and the target friction coefficient.

[0035] It can be understood that the two factors that have the greatest impact on the flat pull strength of a zipper are the deformation and flipping of the tooth socket due to the normal force, and the tooth head slippage due to the friction force. The zipper flat pull strength determination model obtained by combining the two expressions in the embodiment of the present application can comprehensively measure the critical value of the zipper flat pull strength when the zipper has tooth socket deformation and flipping and the tooth head slippage, while considering the influence of the tooth head inclination angle on the friction force. Among them, the accuracy of the model can be further corrected by the target bite coefficient.

[0036] In some embodiments, after constructing the zipper flat pull strength determination model, the construction method further includes: The effective contact width of the tooth head, the effective bite depth of the tooth socket, the shear strength of the zipper material and the inclination angle of the tooth head are obtained, and the zipper flat pull strength determination model is input to output the zipper flat pull strength.

[0037] It can be understood that in the above technical scheme, the zipper flat pull strength determination model is constructed by decomposing the friction force and shear bearing capacity on the contact surface between the tooth head and the tooth socket by the flat pull strength (the shear bearing capacity is expressed according to the effective contact width of the tooth head, the effective bite depth of the tooth socket and the shear strength of the zipper material), and based on the force balance condition and the inclination angle of the tooth head, the mechanical relationship between the flat pull strength and the friction force and the normal force corresponding to the friction force is considered. The geometric parameters of the zipper and the mechanical properties of the materials are taken into account. The zipper flat pull strength determination model is suitable for different materials (brass, stainless steel, etc.) and different tooth head structures (trapezoidal, semicircular, etc.), which significantly reduces the dependence on physical experiments and improves the efficiency of flat pull strength (i.e., zipper strength) prediction and zipper optimization design.

[0038] In some embodiments, the target coefficient may be optimized by finite element analysis, that is, step S120: combining the first expression and the second expression to construct a zipper flat pull strength determination model, including: Step S121: construct an initial zipper flat pull strength determination model by combining the first expression and the second expression. The difference between the initial zipper flat pull strength determination model and the zipper flat pull strength determination model is whether the bite coefficient and the friction coefficient are optimized.

[0039] Step S122: Acquire a set of simulation data related to the zipper being subjected to the horizontal pulling force obtained based on finite element analysis.

[0040] Specifically, in simulation software such as Abaqus, a simulation model for applying zipper flat pull force to a zipper is established by finite element analysis method. It includes geometric modeling, that is, establishing a geometric model of the zipper according to the size of the specified model of zipper. Meshing, that is, refining the meshing of the key areas of the zipper to ensure that the mesh accuracy is high enough to accurately simulate the mechanical behavior of applying zipper flat pull force to the zipper. Physical property definition, that is, defining the zipper tooth parameters and material mechanical properties. The chain tooth parameters include the effective contact width of the simulated tooth head, the effective bite depth of the simulated tooth groove, and the inclination angle of the simulated tooth head. Material mechanical properties include the shear strength of the simulated zipper material. Loading conditions, that is, setting the loading conditions and boundary conditions of the zipper, such as the friction applied and between the contact surfaces of each component. Run the simulation model and output the simulated zipper flat pull force.

[0041] Next, the zipper tooth parameters and material mechanical properties are changed, the simulation model is repeatedly run, and the zipper flat pull strength is output until the stop condition is reached (the stop condition can be that the number of changes in the zipper tooth parameters and material mechanical properties is greater than a threshold), and the relevant simulation data set of the zipper subjected to the zipper flat pull strength is obtained. The relevant simulation data set includes the simulated zipper flat pull strength of the zipper, as well as the simulated effective contact width corresponding to the simulated zipper flat pull strength, the simulated effective bite depth of the tooth socket, the simulated shear strength of the zipper material, and the inclination angle of the simulated tooth head.

[0042] Step S123: reversely calibrate the initial coefficient combination of the initial zipper flat pull strength model according to the simulation data set, obtain the target coefficient combination, and establish the zipper flat pull strength determination model.

[0043] The reverse calibration can be to construct the objective function of the initial zipper flat pull strength model using the least squares method, and then use the numerical optimization algorithm and the simulation data set to solve the objective function to obtain the target coefficient combination.

[0044] Specifically, the objective function is constructed with the goal of minimizing the residual sum of squares between the simulated zipper flat pull strength in the simulation data set and the predicted zipper flat pull strength calculated by the initial zipper flat pull strength model. The predicted zipper flat pull strength is obtained by substituting the simulated effective contact width, the effective bite depth of the simulated tooth socket, the shear strength of the simulated zipper material and the inclination angle of the simulated tooth head in the simulation data set into the initial zipper flat pull strength model, and outputting the predicted zipper flat pull strength. Then, the simulation data set is input into the objective function. Based on the numerical optimization algorithm, when the residual sum of squares between the simulated zipper flat pull strength and the predicted zipper flat pull strength is within a preset range, the target coefficient combination is obtained.

[0045] Numerical optimization algorithms include gradient descent method and maximum likelihood estimation. It can be understood that each time a set of simulation data and the corresponding predicted zipper pull strength are input into the objective function, the residual sum of squares between the corresponding simulated zipper pull strength and the predicted zipper pull strength can be calculated. In this way, a residual sum of squares can be obtained for each iteration. After multiple iterations, when the residual sum of squares is within the preset range, the iteration is stopped. At this time, the initial coefficient combination corresponding to the residual sum of squares (i.e., the initial bite coefficient and the initial friction coefficient) is the target coefficient combination (i.e., the target bite coefficient and the target friction coefficient). The value range of the target bite coefficient can be 0.8~1.2.

[0046] In one application scenario, the target bite coefficient obtained by step S122 is k=1.02. The target bite coefficient of the zipper flat pull strength determination model of the brass zipper is determined to be k=1.02. After experimental testing, the error between the zipper flat pull strength calculated by the zipper flat pull strength determination model of the brass zipper and the zipper flat pull strength obtained by the experiment is 4.5%. In another application scenario, the target bite coefficient obtained by step S122 is k=1.15. The target bite coefficient of the zipper flat pull strength determination model of the stainless steel zipper is determined to be k=1.15. After experimental testing, the error between the zipper flat pull strength calculated by the zipper flat pull strength determination model of the stainless steel zipper and the zipper flat pull strength obtained by the experiment is 3.8%.

[0047] It can be understood that by optimizing the initial coefficient combination to obtain the target coefficient combination, the accuracy of the zipper flat pull strength can be further improved, the error of the zipper flat pull strength can be controlled within 5%, and the stability of the zipper flat pull strength determination model can be ensured.

[0048] In some embodiments, after constructing the zipper flat pull strength determination model, the construction method also includes: based on the zipper flat pull strength determination model, transforming the determination model to obtain the effective contact width, the effective bite depth of the tooth socket, the shear strength of the zipper material or the inclination angle of the tooth head.

[0049] Figure 4 This is a schematic diagram of the structure of the electronic device provided in this application. Figure 4 As shown, the electronic device 10 includes: Processor 11, memory 12 and bus 13; The memory 12 is used to store the computer program code of the processor 11; The processor 11 is configured to execute the technical solution of the method for constructing a zipper flat pull strength determination model in any of the aforementioned method embodiments by executing the computer program code.

[0050] Optionally, the memory 12 may be independent or integrated with the processor 11 .

[0051] The memory 12 is connected to the processor 11 via the bus 13 and completes the communication between them.

[0052] Optionally, the memory 12 may include a random access memory (RAM), and may also include a non-volatile memory (non-volatile memory), such as at least one disk memory.

[0053] The bus 13 may be a peripheral component interconnect (PCI) bus or an extended industry standard architecture (EISA) bus, etc. The bus may be divided into an address bus, a data bus, a control bus, etc. For ease of representation, only one thick line is used in the figure, but it does not mean that there is only one bus or one type of bus.

[0054] The above-mentioned processor can be a general-purpose processor, including a central processing unit CPU, a network processor (NP), etc.; it can also be a digital signal processor DSP, an application-specific integrated circuit ASIC, a field programmable gate array FPGA or other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components.

[0055] The electronic device 10 is used to execute the technical solution provided in any of the aforementioned method embodiments, and its implementation principle and technical effect are similar and will not be described in detail here.

[0056] The present application also provides a computer-readable storage medium having a computer program stored thereon. When the computer program is executed by a processor, the technical solution of the method for constructing a zipper flat-pull strength determination model as described above is implemented.

[0057] Those skilled in the art can understand that all or part of the steps of implementing the above-mentioned method embodiments can be completed by hardware related to program instructions. The aforementioned program can be stored in a computer-readable storage medium. When the program is executed, the steps of the above-mentioned method embodiments are executed; and the aforementioned storage medium includes: ROM, RAM, disk or optical disk and other media that can store program codes.

[0058] 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 it. 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 replace some or all of the technical features therein with equivalents. However, these modifications or replacements do not cause the essence of the corresponding technical solutions to deviate from the scope of the technical solutions of the embodiments of the present application.

Claims

1. A method for constructing a zipper flat pull strength determination model, characterized in that: The method comprises: According to the decomposition of the friction force and shear bearing capacity on the contact surface between the tooth head and the tooth groove of the zipper flat pull strength, a first expression of the zipper flat pull strength is constructed, wherein the shear bearing capacity is expressed according to the effective contact width of the tooth head, the effective bite depth of the tooth groove and the shear strength of the zipper material; Based on the force balance condition, a second expression of the zipper flat pulling strength is constructed according to the inclination angle of the tooth head, the friction force, and the normal force corresponding to the friction force; The first expression and the second expression are combined to construct a model for determining the zipper's horizontal pulling strength.

2. The method according to claim 1, characterized in that The method of combining the first expression and the second expression to construct a zipper flat pull strength determination model includes: Combining the first expression and the second expression to construct a model for determining the initial zipper flat pull strength; Acquire a set of simulation data related to the zipper subjected to a flat pull force obtained based on finite element analysis, wherein the set of simulation data includes a simulated flat pull force of the zipper, and a simulated effective contact width corresponding to the simulated flat pull force, a simulated effective bite depth of a tooth socket, a simulated shear strength of a zipper material, and a simulated tooth head inclination angle; The initial coefficient combination of the initial zipper flat pull strength model is reversely calibrated according to the simulation data set to obtain the target coefficient combination, and the zipper flat pull strength determination model is established.

3. The method according to claim 2, characterized in that The target coefficient combination includes a target bite coefficient and a target friction coefficient.

4. The method according to claim 1 or 2, characterized in that: The first expression of the zipper flat pull strength is as follows: in, Indicates the zipper's flat pull strength. is the shear bearing capacity, Indicates the effective occlusal depth of the alveolar socket. Indicates the shear strength of the zipper material. Indicates the effective contact width of the tooth head. represents the friction force, represents the initial friction coefficient, Represents the normal force.

5. The method according to claim 1 or 2, characterized in that: The second expression of the zipper flat pull strength is as follows: in, Indicates the inclination angle of the tooth head. Represents the initial bite coefficient.

6. The method according to claim 1 or 2, characterized in that: The zipper flat pull strength determination model is as follows: in, represents the target bite coefficient, Represents the target friction coefficient.

7. The method according to claim 1, characterized in that After the zipper flat pull strength determination model is constructed, the method further includes: The effective contact width of the tooth head, the effective bite depth of the tooth socket, the shear strength of the zipper material and the inclination angle of the tooth head are obtained, and the zipper flat pull strength determination model is input to output the zipper flat pull strength.

8. The method according to claim 1, characterized in that After the zipper flat pull strength determination model is constructed, the method further includes: Based on the zipper flat pull strength determination model transformation, a determination model for the effective contact width, the effective bite depth of the tooth socket, the shear strength of the zipper material or the inclination angle of the tooth head is obtained.

9. An electronic device, characterized in that: include: Processor and memory; The memory is coupled to the processor, and the memory is used to store computer program codes. The processor calls the computer program codes to enable the electronic device to perform the method according to any one of claims 1 to 8.

10. A computer-readable storage medium, characterized in that: The computer-readable storage medium stores a computer program, and when the computer program is executed by a processor, the method according to any one of claims 1 to 8 is implemented.

Citation Information

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