A method for constructing a flat pull strength determination model of a zipper and related equipment

Abstract

The present application provides a method for constructing a zipper flat pull strength determination model and related equipment. The method includes: decomposing the flat pull strength of the zipper into the frictional force and shear bearing capacity on the contact surface between the tooth head and the tooth groove, constructing a first expression for the flat pull strength of the zipper, and the shear bearing capacity is obtained according to the effective contact width of the tooth head, the effective biting depth of the tooth groove and the shear strength of the zipper material; based on the force balance condition, constructing a second expression for the flat pull strength of the zipper according to the inclination angle of the tooth head, the frictional force and the normal force corresponding to the frictional force; combining the first expression and the second expression to construct a zipper flat pull strength determination model, and constructing a zipper flat pull strength determination model applicable to different materials and different tooth head structures, so as to improve the prediction of the flat pull strength and the efficiency of zipper optimization design.

Description

Technical Field

[0001] This application relates to the technical field of zipper parameter design, and particularly to a method for constructing a zipper flat tensile strength determination model and related equipment. Background Art

[0002] The flat tensile strength of a zipper is an index to measure the tensile strength, wear resistance, anti-cracking, and the matching degree of materials and processes of the zipper. At present, the industry mainly relies on experimental tests to obtain this index. Physical tests require a large number of samples, and there are limitations such as time-consuming experiments, high costs, and low efficiency. Due to the lack of an accurate zipper flat tensile strength calculation model, the tooth head structure of the zipper is not optimized enough, and situations such as the pull head of the zipper falling off and breaking, tooth head missing and deforming, the zipper unable to bite, and the edge of the zipper tape cracking or the stitches falling off are likely to occur. Summary of the Invention

[0003] This application provides a method for constructing a zipper flat tensile strength determination model and related equipment, constructs a zipper flat tensile strength determination model applicable to different materials and different tooth head structures, and improves the prediction of flat tensile strength and the efficiency of zipper optimization design.

[0004] In the first aspect of this application, a method for constructing a zipper flat tensile strength determination model is provided, and the method includes:

[0005] According to the frictional force and shear bearing capacity decomposed by the zipper flat tensile strength on the contact surface between the tooth head and the tooth socket, a first expression of the zipper flat tensile strength is constructed, and the shear bearing capacity is obtained according to the effective contact width of the tooth head, the effective biting depth of the tooth socket, and the shear strength of the zipper material; based on the force balance condition, a second expression of the zipper flat tensile strength is constructed according to the inclination angle of the tooth head, the frictional force, and the normal force corresponding to the frictional force; the zipper flat tensile strength determination model is constructed by combining the first expression and the second expression.

[0006] In some embodiments of the first aspect, constructing the zipper flat tensile strength determination model by combining the first expression and the second expression includes: constructing an initial zipper flat tensile strength determination model by combining the first expression and the second expression; obtaining a set of relevant simulation data of the zipper under the zipper flat tensile strength obtained by finite element analysis, and the set of relevant simulation data includes the simulated zipper flat tensile strength of the zipper, as well as the simulated effective contact width corresponding to the simulated zipper flat tensile strength, the effective biting depth of the simulated tooth socket, the shear strength of the simulated zipper material, and the inclination angle of the simulated tooth head; inversely calibrating the initial coefficient combination of the initial zipper flat tensile strength model according to the simulation data set to obtain the target coefficient combination, and establishing the zipper flat tensile strength determination model.

[0007] In some embodiments of the first aspect, the target coefficient combination includes a target biting coefficient and a target friction coefficient.

[0008] In some embodiments of the first aspect, the first expression of the flat tensile strength of the zipper is as follows:

[0009]

[0010] Wherein, represents the flat tensile strength of the zipper, represents the shear bearing capacity, represents the effective occlusal depth of the alveolar socket, represents the shear strength of the zipper material, represents the effective contact width of the tooth head, represents the frictional force, represents the initial friction coefficient, represents the normal force.

[0011] In some embodiments of the first aspect, the second expression of the flat tensile strength of the zipper is as follows:

[0012]

[0013] Wherein, represents the inclination angle of the tooth head, represents the initial occlusal coefficient.

[0014] In some embodiments of the first aspect, the flat tensile strength determination model of the zipper is as follows:

[0015]

[0016] Wherein, represents the target occlusal coefficient, represents the target friction coefficient.

[0017] In some embodiments of the first aspect, after the flat tensile strength determination model of the zipper is constructed, the method further includes: obtaining the effective contact width of the tooth head, the effective occlusal depth of the alveolar socket, the shear strength of the zipper material, and the inclination angle of the tooth head, inputting them into the flat tensile strength determination model of the zipper, and outputting the flat tensile strength of the zipper.

[0018] In some embodiments of the first aspect, after the flat tensile strength determination model of the zipper is constructed, the method further includes: transforming the flat tensile strength determination model to obtain a determination model of the effective contact width, the effective occlusal depth of the alveolar socket, the shear strength of the zipper material, or the inclination angle of the tooth head.

[0019] The present application provides an electronic device in a second aspect, including: a processor and a memory;

[0020] The memory is coupled to the processor. The memory is used to store computer program code, and the processor invokes the computer program code to cause the electronic device to execute the method according to the first aspect.

[0021] In a third aspect, the present application provides a computer-readable storage medium, on which a computer program is stored. When the computer program is executed by a processor, the method according to the first aspect is implemented.

[0022] It can be understood that the method for constructing the zipper flat pull strength determination model and related devices provided by the present application decompose the flat pull strength of the zipper into the frictional force and shear bearing capacity on the contact surface between the tooth head and the tooth groove (the shear bearing capacity is obtained 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), and based on the force balance condition and the inclination angle of the tooth head, considering the mechanical relationship between the flat pull strength and the frictional force and the normal force corresponding to the frictional force, the zipper flat pull strength determination model is constructed. Considering the geometric parameters and material mechanical properties of the zipper, the zipper flat pull strength determination model is applicable to different materials (such as brass, stainless steel, etc.) and different tooth head structures (such as trapezoidal, semi-circular, etc.), significantly reducing the dependence on physical experiments and improving the efficiency of predicting the flat pull strength (i.e., zipper strength) and optimizing the design of the zipper. BRIEF DESCRIPTION OF THE DRAWINGS

[0023] The accompanying drawings herein are incorporated into the specification and constitute a part of this specification, showing embodiments consistent with the present application, and are used together with the specification to explain the principles of the present application.

[0024] Figure 1 It is a schematic flowchart of a method for constructing a zipper flat pull strength determination model provided by an embodiment of the present application;

[0025] Figure 2 It is an application scenario diagram of a method for constructing a zipper flat pull strength determination model provided by an embodiment of the present application;

[0026] Figure 3 It is another application scenario diagram of a method for constructing a zipper flat pull strength determination model provided by an embodiment of the present application;

[0027] Figure 4 It is a schematic structural diagram of an electronic device provided by an embodiment of the present application.

[0028] Through the above-mentioned accompanying drawings, the clear embodiments of the present application have been shown, and there will be more detailed descriptions hereinafter. These drawings and text descriptions are not intended to limit the scope of the concept 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 OF THE EMBODIMENTS

[0029] Here, exemplary embodiments will be described in detail, and examples thereof are shown in the accompanying drawings. When the following description refers to the accompanying drawings, unless otherwise indicated, the same numbers in different drawings represent the same or similar elements. The embodiments described in the following exemplary embodiments do not represent all embodiments consistent with the present application.

[0030] The terms "first", "second", etc. involved in the present application are only for descriptive purposes and cannot be understood as indicating or implying relative importance or implicitly specifying the quantity of the indicated technical features.

[0031] Hereinafter, the technical solution of the present application and how the technical solution of the present application solves the technical problem will be described in detail with specific embodiments. The following several specific embodiments can be combined with each other, and the same or similar concepts or processes may not be repeated in some embodiments.

[0032] Please refer to Figure 1 and Figure 2 , Figure 1 which is a schematic flowchart of a method for constructing a zipper flat pull strength determination model provided by the present application. The execution subject of the construction method can be an electronic device, and the electronic device includes a desktop computer, a server, a smart phone, a notebook computer, etc. As Figure 1 shown, the construction method may include the following steps:

[0033] Step S110: Construct a first expression of the zipper flat pull strength according to the frictional force and shear bearing capacity decomposed on the contact surface between the tooth head and the tooth socket.

[0034] As Figure 2 shown, the zipper includes chain teeth, and the chain teeth include a tooth head and a tooth socket. When the tooth head of one chain tooth engages with the tooth socket of another chain tooth, the zipper is closed. A tensile force is applied to the closed zipper in the horizontal direction until the maximum tensile force of the zipper when the zipper breaks or the chain teeth separate is the zipper flat pull strength. At the same time, a frictional force and a shear bearing capacity will be generated on the contact surface between the tooth head and the tooth socket (the contact surface is an arc surface). The tooth socket will be turned over due to the extrusion of the tooth head, resulting in the slippage of the tooth head. The shear bearing capacity is the ultimate bearing capacity of the tooth socket wall to resist the extrusion and bending of the tooth head. The frictional force will also cause the slippage of the tooth head, and the frictional force is the resistance to hinder the relative sliding between the tooth head and the tooth socket. The shear bearing capacity and the frictional force can be regarded as two forces decomposed from the zipper flat pull strength.

[0035] Exemplarily, as combined with Figure 3 shown, the first expression of the zipper flat pull strength is as follows:

[0036]

[0037] Among them, represents the zipper flat pull strength, with the unit N, denotes the shear bearing capacity, in N denotes the effective occlusal depth of the alveolar socket, in mm denotes the shear strength of the zipper material, in MPa denotes the effective contact width of the tooth head, in mm denotes the frictional force, in N denotes the initial friction coefficient, which can be preset as an empirical value denotes the normal force, in N

[0038] It can be understood that the shear bearing capacity is expressed according to the effective contact width of the tooth head , the effective occlusal depth of the alveolar socket and the shear strength of the zipper material The actual direction of the flat pull strength of the zipper calculated according to the sum of the shear bearing capacity and the frictional force tends to be consistent with the ideal direction, with an accuracy of over 80%.

[0039] Step S120: Based on the force balance condition, a second expression of the flat pull strength of the zipper is constructed according to the inclination angle of the tooth head, the frictional force, and the normal force corresponding to the frictional force

[0040] As Figure 3 shown, when the tensile force (or the flat pull strength of the zipper ) acts on the zipper, a biting force (i.e., the total resultant force of the interaction between the tooth head and the alveolar socket) is generated between the alveolar socket and the tooth head (not shown in the figure). The flat pull strength of the zipper and the biting force satisfy the force balance condition, that is, the magnitude of the flat pull strength of the zipper is equal to the biting force. At the same time, the biting force can be decomposed into the frictional force and the normal force on the contact surface. Therefore, according to the force balance condition and the force decomposition relationship, an expression between the flat pull strength of the zipper and the frictional force and the normal force can be constructed, that is, the second expression

[0041] Exemplarily, as Figure 3 shown in the force diagram, the magnitude of the normal force is affected by the inclination angle of the tooth head. Combining the mechanical principle and trigonometric functions, the second expression of the flat pull strength of the zipper can be calculated as follows

[0042]

[0043] where denotes the inclination angle of the tooth head, in ° denotes the initial occlusion coefficient, which can be set as an empirical value

[0044] Step S130: Combine the first expression and the second expression to construct a flat pull strength determination model of the zipper

[0045] Exemplarily, the model formula for determining the flat pull strength of a zipper is as follows:

[0046]

[0047] Wherein, represents the target bite coefficient, represents the target friction coefficient. The initial bite coefficient and the initial friction coefficient can be optimized through relevant algorithms to obtain the target bite coefficient and the target friction coefficient.

[0048] It can be understood that the two factors that have the greatest impact on the flat pull strength of the zipper are, one is the deformation and inversion of the tooth groove caused by the normal force, and the other is the slippage of the tooth head caused by the friction force. The zipper flat pull strength determination model obtained by combining the two expressions in the embodiments of the present application can comprehensively measure the critical value of the flat pull strength of the zipper when the tooth groove deforms and inverts and the tooth head slips, and at the same time considers the influence of the tooth head inclination angle on the friction force. Among them, the accuracy of the model can be further corrected through the target bite coefficient.

[0049] In some embodiments, after constructing the zipper flat pull strength determination model, the construction method further includes:

[0050] Obtain the effective contact width of the tooth head, the effective bite depth of the tooth groove, the shear strength of the zipper material, and the inclination angle of the tooth head, input them into the zipper flat pull strength determination model, and output the flat pull strength of the zipper.

[0051] It can be understood that in the above technical solution, the friction force and the shear bearing capacity decomposed from the flat pull strength on the contact surface between the tooth head and the tooth groove (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), and based on the force balance condition and the inclination angle of the tooth head, considering the mechanical relationship between the flat pull strength and the friction force and the normal force corresponding to the friction force, the constructed zipper flat pull strength determination model takes into account the geometric parameters and material mechanical properties of the zipper. This zipper flat pull strength determination model is applicable to different materials (such as brass, stainless steel, etc.) and different tooth head structures (such as trapezoidal, semi-circular, etc.), significantly reducing the dependence on physical experiments and improving the efficiency of predicting the flat pull strength (i.e., the zipper strength) and the optimization design of the zipper.

[0052] In some embodiments, the target coefficient can be optimized through finite element analysis, that is, step S120: constructing the zipper flat pull strength determination model by combining the first expression and the second expression, including:

[0053] 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 lies in whether the bite coefficient and the friction coefficient are optimized.

[0054] Step S122: Obtain a set of relevant simulation data on the flat tensile strength of the zipper obtained based on finite element analysis.

[0055] Specifically, in simulation software such as Abaqus, a simulation model for applying the flat tensile strength of the zipper is established through the finite element analysis method. This includes geometric modeling, that is, establishing a geometric model of the zipper according to the dimensions of the specified model of the zipper. Mesh generation, that is, performing refined mesh generation on the key areas of the zipper to ensure that the mesh accuracy is high enough to accurately simulate the mechanical behavior of applying the flat tensile strength of the zipper. Definition of physical properties, 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 biting depth of the simulated tooth socket, and the inclination angle of the simulated tooth head. The material mechanical properties include the shear strength of the simulated chain material, etc. Loading conditions, that is, setting the loading conditions and boundary conditions of the zipper, such as the applied force and the friction between the contact surfaces of each component. Run the simulation model and output the simulated flat tensile strength of the zipper.

[0056] Then, change the magnitudes of the zipper tooth parameters and material mechanical properties, repeat running the simulation model, and output the flat tensile strength of the zipper until the stop condition is reached (the stop condition can be that the number of changes in the magnitudes of the zipper tooth parameters and material mechanical properties is greater than the threshold), and obtain a set of relevant simulation data on the flat tensile strength of the zipper. The set of relevant simulation data includes the simulated flat tensile strength of the zipper, as well as the simulated effective contact width, the effective biting depth of the simulated tooth socket, the shear strength of the simulated zipper material, and the inclination angle of the simulated tooth head corresponding to the simulated flat tensile strength of the zipper.

[0057] Step S123: Inversely calibrate the initial coefficient combination of the initial flat tensile strength model of the zipper according to the simulation data set to obtain the target coefficient combination, and establish a flat tensile strength determination model of the zipper.

[0058] Inverse calibration can use the least squares method to construct an objective function for the initial flat tensile strength model of the zipper. Then, use a numerical optimization algorithm and the simulation data set to solve the objective function to obtain the target coefficient combination.

[0059] Specifically, the objective function is constructed with the goal of minimizing the sum of the squares of the residuals between the simulated flat tensile strength in the simulation data set and the predicted flat tensile strength calculated by the initial flat tensile strength model. The way to obtain the predicted flat tensile strength includes substituting the simulated effective contact width, the effective biting 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 flat tensile strength model and outputting the predicted flat tensile strength. Then, input the simulation data set into the objective function. Based on the numerical optimization algorithm, when the sum of the squares of the residuals between the simulated flat tensile strength and the predicted flat tensile strength is within a preset range, the target coefficient combination is obtained.

[0060] Numerical optimization algorithms include gradient descent method, maximum likelihood estimation, etc. It can be understood that each time a set of simulation data and the corresponding predicted flat tensile strength of the zipper are input into the objective function, the sum of squared residuals between the corresponding simulated flat tensile strength of the zipper and the predicted flat tensile strength of the zipper can be calculated. Thus, a sum of squared residuals can be obtained for each iteration. After multiple iterations, when the sum of squared residuals is within a preset range, the iteration stops. At this time, the initial coefficient combination corresponding to the sum of squared residuals (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), and the value range of the target bite coefficient can be 0.8 - 1.2.

[0061] In an application scenario, the target bite coefficient obtained through step S122 is k = 1.02. The target bite coefficient of the flat tensile strength determination model of the brass zipper is determined to be k = 1.02. Through experimental testing, the error between the flat tensile strength of the zipper calculated by the flat tensile strength determination model of the brass zipper and the flat tensile strength obtained through experiments is 4.5%. In another application scenario, the target bite coefficient obtained through step S122 is k = 1.15. The target bite coefficient of the flat tensile strength determination model of the stainless - steel zipper is determined to be k = 1.15. Through experimental testing, the error between the flat tensile strength of the zipper calculated by the flat tensile strength determination model of the stainless - steel zipper and the flat tensile strength obtained through experiments is 3.8%.

[0062] It can be understood that by optimizing the initial coefficient combination to obtain the target coefficient combination, the accuracy of the flat tensile strength of the zipper can be further improved, the error of the flat tensile strength of the zipper can be controlled within 5%, and the stability of the flat tensile strength determination model of the zipper can be ensured.

[0063] In some embodiments, after constructing the flat tensile strength determination model of the zipper, the construction method further includes: based on the flat tensile strength determination model of the zipper, determining models 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 are transformed.

[0064] Figure 4 The structural schematic diagram of the electronic device provided by this application is as Figure 4 shown. The electronic device 10 includes:

[0065] A processor 11, a memory 12, and a bus 13;

[0066] The memory 12 is used to store the computer program code of the processor 11;

[0067] Among them, the processor 11 is configured to execute the technical solutions of the construction method of the flat tensile strength determination model of the zipper in any of the foregoing method embodiments by executing the computer program code.

[0068] Optionally, the memory 12 can be either independent or integrated with the processor 11.

[0069] The memory 12 is connected to the processor 11 via a bus 13 and communicates with each other.

[0070] Optionally, the memory 12 may include a random access memory (RAM), and may also include non-volatile memory, such as at least one disk memory.

[0071] The bus 13 can be a Peripheral Component Interconnect (PCI) bus or an Extended Industry Standard Architecture (EISA) bus, etc. The bus can be divided into an address bus, a data bus, a control bus, etc. For the sake of simplicity, only a thick line is shown in the figure, but it does not mean that there is only one bus or one type of bus.

[0072] The aforementioned 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.

[0073] The electronic device 10 is used to execute the technical solutions provided in any of the foregoing method embodiments. The implementation principles and technical effects are similar and will not be elaborated here.

[0074] This application also provides a computer-readable storage medium. A computer program is stored on the computer-readable storage medium. When the computer program is executed by a processor, it implements the technical solution of the method for constructing a zipper flat tensile strength determination model as described above.

[0075] Those of ordinary skill in the art can understand that all or part of the steps of implementing the foregoing 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, it executes the steps of the foregoing method embodiments; and the aforementioned storage medium includes: ROM, RAM, magnetic disk or optical disk and other media that can store program codes.

[0076] 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 foregoing embodiments, those of ordinary skill in the art should understand that they can still modify the technical solutions described in the foregoing embodiments, or perform equivalent replacements on some or all of the technical features; and 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 model for determining the flat pull strength of a zipper, characterized in that The method includes: Decompose the friction force and shear bearing capacity on the contact surface between the tooth head and the tooth groove according to the flat tensile strength of the zipper, and construct a first expression of the flat tensile strength of the zipper. The shear bearing capacity is obtained 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, construct a second expression of the flat tensile strength of the zipper according to the inclination angle of the tooth head, the friction force, and the normal force corresponding to the friction force; Combine the first expression and the second expression to construct a flat tensile strength determination model of the zipper; Among them, the construction of the flat tensile strength determination model of the zipper by combining the first expression and the second expression includes: Combine the first expression and the second expression to construct an initial flat tensile strength determination model of the zipper; Obtain a set of relevant simulation data of the zipper under the flat tensile strength of the zipper obtained by finite element analysis. The set of relevant simulation data includes the simulated flat tensile strength of the zipper, as well as the simulated effective contact width corresponding to the simulated flat tensile strength, the effective bite depth of the simulated tooth groove, the shear strength of the simulated zipper material, and the inclination angle of the simulated tooth head; According to the simulation data set, reverse calibrate the initial coefficient combination of the initial flat tensile strength model of the zipper to obtain a target coefficient combination, and establish the flat tensile strength determination model of the zipper.

2. The method according to claim 1, characterized in that, The target coefficient combination includes a target bite coefficient and a target friction coefficient.

3. The method according to claim 1, wherein The first expression of the flat tensile strength of the zipper is as follows: Among them, represents the flat pull strength of the zipper, represents the shear bearing capacity, represents the effective occlusal depth of the alveolar socket, represents the shear strength of the zipper material, represents the effective contact width of the tooth head, represents the frictional force, represents the initial coefficient of friction, represents the normal force.

4. The method according to claim 3, characterized in that The second expression of the flat tensile strength of the zipper is as follows: Among them, represents the inclination angle of the tooth head, represents the initial occlusion coefficient.

5. The method according to claim 4, characterized in that The flat tensile strength determination model of the zipper is as follows: Among them, represents the target bite coefficient, represents the target friction coefficient.

6. The method according to claim 1, wherein After the construction of the flat tensile strength determination model of the zipper, the method further includes: Obtain the effective contact width of the tooth head, the effective bite depth of the tooth groove, the shear strength of the zipper material, and the inclination angle of the tooth head, input them into the flat tensile strength determination model of the zipper, and output the flat tensile strength of the zipper.

7. The method according to claim 1, characterized in that, After the construction of the flat tensile strength determination model of the zipper, the method further includes: Based on the flat tensile strength determination model of the zipper, transform to obtain a determination model of the effective contact width of the tooth head, the effective bite depth of the tooth groove, the shear strength of the zipper material, or the inclination angle of the tooth head.

8. An electronic device, characterized in that, It includes: A processor and a memory; The memory is coupled to the processor. The memory is used to store computer program code, and the processor calls the computer program code to enable the electronic device to execute the method according to any one of claims 1 to 7.

9. A computer-readable storage medium, characterized in that, A computer program is stored on the computer-readable storage medium, and when the computer program is executed by the processor, the method according to any one of claims 1 to 7 is implemented.

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