Evaluation method for anti-slip performance of textured joint surface

Abstract

The invention discloses a method for evaluating the anti-sliding performance of a textured joint surface. The method comprises the following steps: 1) calculating the tangential contact stiffness of a rough contact surface part in the textured joint surface based on a statistical theory and a fractal theory; 2) calculating the tangential contact stiffness of the texture contact surface part in the textured junction surface according to the occlusion effect of the micro-convex body and the texture; 3) linearly superposing the tangential contact stiffness of the rough contact surface part and the tangential contact stiffness of the texture contact surface part to obtain the tangential contact stiffness of the textured joint surface; 4) obtaining the microscopic tangential displacement through the tangential contact stiffness of the textured joint surface; and 5) obtaining the anti-sliding capability of the textured joint surface according to the microscopic tangential displacement. According to the method, the anti-sliding performance of the textured joint surface is represented by adopting the tangential contact stiffness of the textured joint surface, and the anti-sliding performance of the textured joint surface can be accurately evaluated.

Description

Technical Field

[0001] The invention relates to the technical field of anti-slip performance evaluation of textured bonding surfaces, in particular to an evaluation method for the anti-slip performance of textured bonding surfaces. Background Art

[0002] In mechanical systems, a large number of mechanical bonding surfaces are generated between parts, and textured bonding surfaces are increasingly used in fields such as lubrication and sealing. Anti-slip performance is one of the important mechanical properties of textured bonding surfaces. However, there are currently few studies on the anti-slip ability of textured bonding surfaces, and the evaluation and characterization methods for anti-slip performance are not unified, resulting in inaccurate evaluation of the anti-slip performance of textured bonding surfaces. Summary of the invention

[0003] In order to solve the problem of inaccurate evaluation of the anti-slip performance of textured bonding surfaces in the prior art, the present invention provides a method for evaluating the anti-slip performance of textured bonding surfaces, which can accurately evaluate the anti-slip performance and save calculation amount.

[0004] In order to achieve the above object, the specific scheme adopted by the present invention is: a method for evaluating the anti-slip performance of a textured bonding surface, comprising the following steps:

[0005] 1) The tangential contact stiffness of the rough contact surface in the textured interface is calculated based on statistical theory and fractal theory;

[0006] 2) Calculate the tangential contact stiffness of the texture contact surface in the textured joint surface based on the bite effect between the micro-asperities and the texture;

[0007] 3) Linearly superimpose the tangential contact stiffness of the rough contact surface part and the tangential contact stiffness of the textured contact surface part to obtain the tangential contact stiffness of the textured bonding surface;

[0008] 4) The microscopic tangential displacement is obtained through the tangential contact stiffness of the textured bonding surface:

[0009]

[0010] Among them, F T is the tangential load, A is the macro contact area, K T is the tangential contact stiffness of the textured bonding surface;

[0011] 5) The anti-slip ability of the textured bonding surface is obtained based on the microscopic tangential displacement:

[0012] ζ=λ τ -1 .

[0013] As an optimization scheme for the above-mentioned method for evaluating the anti-slip performance of a textured bonding surface: in the step 1), the tangential contact stiffness of the rough contact surface portion is:

[0014]

[0015] Where, μ is the friction coefficient, ν is the equivalent Poisson's ratio, G is the equivalent shear modulus, D is the fractal dimension, ψ is the expansion coefficient of the micro-convex body size distribution, and a l is the maximum contact area of ​​the microconvex body, F T is the tangential load and F is the normal load.

[0016] As another optimization scheme of the above-mentioned method for evaluating the anti-slip performance of a textured bonding surface: in the step 2), the tangential contact stiffness of the textured contact surface portion is:

[0017]

[0018] Where, μ is the friction coefficient, ν is the equivalent Poisson's ratio, G is the equivalent shear modulus, D is the fractal dimension, S is the texture effect coefficient, and F is the equivalent shear modulus. T is the tangential load and F is the normal load.

[0019] As another optimization scheme for the above-mentioned evaluation method of the anti-slip performance of the textured bonding surface: the calculation formula of S is:

[0020] S=PLρ A

[0021] Where P is the surface density influence coefficient, ρ A is the surface density, and L is the texture shape and size influence coefficient.

[0022] As another optimization scheme of the above-mentioned method for evaluating the anti-slip performance of the textured bonding surface: in the step 3), the tangential contact stiffness of the textured bonding surface is:

[0023] K T =K0+K1

[0024] Among them, K0 is the tangential contact stiffness of the rough contact surface part, and K1 is the tangential contact stiffness of the textured contact surface part.

[0025] As another optimization scheme of the above-mentioned method for evaluating the anti-slip performance of a textured bonding surface: the step 1) comprises:

[0026] 101) The tangential contact stiffness of a single micro-convex body in the textured joint surface is calculated as:

[0027]

[0028] Where, μ is the friction coefficient, ν is the equivalent Poisson's ratio, a is the contact area of ​​the micro-convex body, G is the equivalent shear modulus, D is the fractal dimension, and F is the equivalent shear modulus. T is the tangential load, and F is the normal load;

[0029] 102) According to fractal theory, the area distribution function of micro-convex body is obtained as follows:

[0030]

[0031] Where D is the fractal dimension, ψ is the expansion coefficient of the asperity size distribution, and a l is the maximum contact area of ​​the microconvex body, F T is the tangential load, a is the contact area of ​​the micro-convex body, a l’ is the maximum micro-convex cross-sectional area;

[0032] 103) Based on the tangential contact stiffness of a single micro-convex body and the micro-convex body area distribution function, the tangential contact stiffness of the rough contact surface is obtained:

[0033]

[0034] Among them, a l is the maximum contact area of ​​the micro-convex body, a c is the critical contact area of ​​the micro-convex body.

[0035] As another optimization scheme of the above-mentioned method for evaluating the anti-slip performance of a textured bonding surface: in the step 103), the critical contact area of ​​the micro-convex body is:

[0036] a c =0.01a l

[0037] Among them, a l is the maximum contact area of ​​the micro-convex body.

[0038] A model building device for a method for evaluating the anti-slip performance of a textured bonding surface, the model building device comprises a modeling module for modeling using the above-mentioned method for evaluating the anti-slip performance of a textured bonding surface.

[0039] An electronic device includes a processor and a memory, wherein the memory stores computer-readable instructions, and when the computer-readable instructions are executed by the processor, the above-mentioned evaluation method can be executed.

[0040] A readable storage medium stores a computer program, wherein when the computer program is executed by a processor, the steps of the above-mentioned evaluation method are executed.

[0041] Compared with the prior art, the present invention has the following beneficial effects:

[0042] The present invention provides a method for evaluating the anti-slip performance of a textured bonding surface. The tangential contact stiffness of the textured bonding surface is used to characterize the anti-slip performance of the textured bonding surface, and the anti-slip performance of the textured bonding surface can be accurately evaluated. BRIEF DESCRIPTION OF THE DRAWINGS

[0043] Figure 1 is a schematic diagram of the occlusion of the textured bonding surface;

[0044] Figure 2 is a top view of the specimen;

[0045] Figure 3 is the side view of the specimen;

[0046] Figure 4 is a schematic diagram of a device for measuring the tangential contact stiffness of a specimen;

[0047] Figure 5 It is drawn based on the data of Experimental Example 1 and Verification Example 1;

[0048] Figure 6 It is drawn based on the data of Experimental Example 2 and Verification Example 2;

[0049] Figure 7 It is drawn based on the data of Experimental Example 3 and Verification Example 3. DETAILED DESCRIPTION

[0050] The technical solution of the present invention is further elaborated in detail below in conjunction with specific embodiments. The parts that are not described and disclosed in detail in the following embodiments of the present invention should be understood as existing technologies known or should be known to those skilled in the art, such as statistical theory and fractal theory.

[0051] Example 1

[0052] A method for evaluating the anti-slip performance of a textured bonding surface, according to the structural characteristics of the textured bonding surface, the textured bonding surface includes a rough contact surface portion and a textured contact surface portion, such as Figure 1 As shown. Among them, the tangential contact stiffness of the rough contact surface can be obtained through fractal theory and statistical theory, and the tangential contact stiffness of the textured contact surface depends on the bite effect of the micro-convex body and the texture, which can be obtained by combining theory and experiment. The anti-slip performance of the textured bonding surface is further evaluated by combining the tangential contact stiffness of the rough contact surface and the tangential contact stiffness of the textured contact surface. The evaluation method of the anti-slip performance of the textured bonding surface includes the following steps:

[0053] 1) Calculate the tangential contact stiffness of the rough contact surface in the textured joint surface based on fractal theory;

[0054] Specifically include:

[0055] 101) Calculate the tangential contact stiffness of a single asperity in the textured joint surface. The functional relationship between the tangential load F of a single asperity T and the deformation x is:

[0056]

[0057] where μ is the friction coefficient, ν is the equivalent Poisson's ratio, a is the contact area of the asperity, G is the equivalent shear modulus, F T is the tangential load, and F is the normal load;

[0058]

[0059] v = mv1 + nv2

[0060]

[0061] where ν1 and ν2 are the Poisson's ratios of the two joint surfaces; m and n are the Poisson's ratio influence coefficients of the two joint surfaces, and 0 < m < 1, 0 < n < 1, m + n = 1; E1 and E2 are the elastic moduli of the two joint surfaces.

[0062] The calculation formula for the tangential contact stiffness of a single asperity is:

[0063]

[0064] Combining the above formulas, the tangential contact stiffness of a single asperity is:

[0065]

[0066] where μ is the friction coefficient, ν is the equivalent Poisson's ratio, a is the contact area of the asperity, G is the equivalent shear modulus, D is the fractal dimension, F T is the tangential load, and F is the normal load.

[0067] 102) According to the fractal theory, the asperity area distribution function is obtained as:

[0068]

[0069] where D is the fractal dimension, ψ is the asperity size distribution expansion coefficient, a l is the maximum contact area of the asperity, F T is the tangential load, a is the contact area of the asperity, and a l’ is the maximum cross-sectional area of the asperity;

[0070] In the above formula,

[0071] 103) Based on the tangential contact stiffness of a single micro-convex body and the micro-convex body area distribution function, the tangential contact stiffness of the rough contact surface is obtained:

[0072]

[0073] Among them, a l is the maximum contact area of ​​the micro-convex body, a c is the critical contact area of ​​the micro-convex body.

[0074] Combining the above formula, the tangential contact stiffness of the rough contact surface is obtained as follows:

[0075]

[0076] Where, μ is the friction coefficient, ν is the equivalent Poisson's ratio, G is the equivalent shear modulus, D is the fractal dimension, F T is the tangential load, F is the normal load, ψ is the expansion coefficient of the micro-convex body size distribution, a l is the maximum contact area of ​​the micro-convex body, a l’ is the maximum micro-convex cross-sectional area, a c is the critical contact area of ​​the micro-convex body;

[0077] Usually, a c =0.01a l , then the final calculation formula of the tangential contact stiffness of the rough contact surface is:

[0078]

[0079] 2) The tangential contact stiffness of the texture contact surface in the textured bonding surface is calculated based on the bite effect of the micro-convex body and the texture; the bite effect of the texture contact surface is related to the friction coefficient, load state, material properties, the number of bits of the rough contact surface and the size parameters of the texture. The depth of the texture is greater than the height of the micro-convex body. The tangential contact stiffness of the texture contact surface is:

[0080]

[0081] Where, μ is the friction coefficient, ν is the equivalent Poisson's ratio, G is the equivalent shear modulus, D is the fractal dimension, S is the texture effect coefficient, and F is the equivalent shear modulus. T is the tangential load and F is the normal load.

[0082] The calculation formula of S is:

[0083] S=PLρ A

[0084] Where P is the surface density influence coefficient, ρ A is the surface density, and L is the texture shape and size influence coefficient.

[0085] When the shape and size of the texture are determined, L is a constant and the value of P is obtained empirically.

[0086] 3) The tangential contact stiffness of the rough contact surface and the tangential contact stiffness of the textured contact surface are linearly superimposed to obtain the tangential contact stiffness of the textured bonding surface:

[0087] K T =K0+K1

[0088] K0 is the tangential contact stiffness of the rough contact surface part, and K1 is the tangential contact stiffness of the textured contact surface part.

[0089] The calculation method of the tangential contact stiffness in the present invention greatly reduces the amount of calculation, reduces the error between the theoretical calculation of the tangential contact stiffness of the textured bonding surface and the actual working condition, and improves the calculation accuracy of the tangential contact stiffness.

[0090] 4) The microscopic tangential displacement is obtained through the tangential contact stiffness of the textured bonding surface:

[0091]

[0092] Among them, F T is the tangential load, A is the macro contact area, K T is the tangential contact stiffness of the textured bonding surface;

[0093] 5) The anti-slip ability of the textured bonding surface is obtained based on the microscopic tangential displacement:

[0094] ξ=λ r -1 .

[0095] The anti-slip performance of the textured bonding surface is characterized by the tangential contact stiffness, which can accurately evaluate the anti-slip performance of the textured bonding surface.

[0096] In order to verify the accuracy of the present invention in evaluating the anti-slip performance of the textured bonding surface, the following experimental examples and verification examples are set to compare the theoretical calculation results and the test results of the tangential contact stiffness, and the parameter RNew is selected to characterize the consistency between the theoretical results and the test results. The calculation formula of RNew is:

[0097]

[0098] Q=Σ(yy * ) 2

[0099] y is the tangential contact stiffness of the textured bonding surface in the experimental example; y* is the tangential contact stiffness of the textured bonding surface in the verification example; Q is the sum of the squared residuals.

[0100] Test object: The material is 45 steel, the shape and size of the specimen are as follows Figure 2 and Figure 3 As shown, the elastic modulus E1 is 210 GPa, the Poisson's ratio is 0.3, and the contact area is 412.3 mm 2 , the total mass of the upper and lower samples is 0.68kg;

[0101] Experimental Example 1

[0102] The surface morphology parameters of the two samples in this embodiment are: regional morphology roughness Sa = 2.48 μm, D = 1.27, ψ = 2.218, μ = 0.27, P = 0.308, L = 1.532, ρ A =10%.

[0103] The tangential contact stiffness K0 of the rough contact surface is calculated;

[0104] The tangential contact stiffness K1 of the texture contact surface is calculated;

[0105] Finally, the tangential contact stiffness K of the textured bonding surface is obtained: T The values ​​of the tangential contact stiffness of the textured contact surface, the tangential contact stiffness of the rough contact surface and the contact stiffness of the textured bonding surface under different normal loads are shown in Tables 1 and Figure 5 shown.

[0106] Table 1 Values ​​of the tangential contact stiffness of the textured contact surface, the tangential contact stiffness of the rough contact surface, and the contact stiffness of the textured bonding surface under different normal loads Normal load F(N) <![CDATA[K0(×10 4 MPa / m)]]> <![CDATA[K1(×10 4 MPa / m)]]> <![CDATA[K T (×10 4 MPa / m)]]> 300 0.384 0.021 0.405 450 0.596 0.147 0.743 600 0.647 0.345 0.992 750 0.689 0.398 1.087 900 0.728 0.448 1.176

[0107] Experimental Example 2

[0108] The surface morphology parameters of the two samples in this embodiment are: regional roughness Sa = 1.65 μm, D = 1.35, ψ = 2.130, μ = 0.35, P = 0.308, L = 1.532, ρ A =10%.

[0109] The tangential contact stiffness K0 of the rough contact surface is calculated;

[0110] The tangential contact stiffness K1 of the texture contact surface is calculated;

[0111] Finally, the tangential contact stiffness K of the textured bonding surface is obtained: T .

[0112] The tangential contact stiffness of the textured bonded surface under different normal loads is shown in Table 1 and Figure 6 shown.

[0113] Table 2 Values ​​of the tangential contact stiffness of the textured contact surface, the tangential contact stiffness of the rough contact surface, and the contact stiffness of the textured bonding surface under different normal loads

[0114] Experimental Example 3

[0115] The surface morphology parameters of the two samples in this embodiment are: regional morphology roughness Sa = 0.54 μm, D = 1.45, ψ = 2.045, μ = 0.41, P = 0.308, L = 1.532, ρ A =10%.

[0116] The tangential contact stiffness K0 of the rough contact surface is calculated;

[0117] The tangential contact stiffness K1 of the texture contact surface is calculated;

[0118] Finally, the tangential contact stiffness K of the textured bonding surface is obtained: T .

[0119] The tangential contact stiffness of the textured bonding surface under different tangential loads is shown in Table 3 and Figure 7 shown.

[0120] Table 3 Values ​​of the tangential contact stiffness of the textured contact surface, the tangential contact stiffness of the rough contact surface, and the contact stiffness of the textured bonding surface under different normal loads Normal load F(N) <![CDATA[K0(×10 4 MPa / m)]]> <![CDATA[K1(×10 4 MPa / m)]]> <![CDATA[K T (×10 4 MPa / m)]]> 300 1.017 0.241 1.258 450 1.083 0.269 1.352 600 1.165 0.318 1.483 750 1.214 0.355 1.569 900 1.228 0.43 1.658

[0121] Verification Example 1

[0122] The samples and surface morphology used in this verification example are the same as those in Experimental Example 1. Figure 4 The tangential contact stiffness K of the bonding surface under different tangential loads is obtained as shown in T ,like Figure 5 shown.

[0123] Verification Example 2

[0124] The samples and surface morphology used in this verification example are the same as those in Experimental Example 2. Figure 4 The tangential contact stiffness K of the bonding surface under different tangential loads is obtained as shown in T ,like Figure 6 shown.

[0125] Verification Example 3

[0126] The samples and surface morphology used in this verification example are the same as those in Experimental Example 3. Figure 4The tangential contact stiffness K of the bonding surface under different tangential loads is obtained as shown in T ,like Figure 7 shown.

[0127] Based on the data of Experimental Example 1 and Verification Example 1 Figure 5 , based on the data from Experimental Example 2 and Verification Example 2 Figure 6 , based on the data from Experimental Example 3 and Verification Example 3 Figure 7 , the parameter RNew is used to measure the consistency between the calculated results and the measured results. The closer RNew is to 1, the better the consistency. According to the data in Experimental Example 1 and Verification Example 1, RNew is 0.954, according to the data in Experimental Example 2 and Verification Example 2, RNew is 0.962, and according to the data in Experimental Example 3 and Verification Example 3, RNew is 0.951, indicating that the theoretical calculated value of the tangential contact stiffness of the textured bonding surface in the present invention is consistent with the experimental value. Furthermore, the tangential contact stiffness can accurately characterize the anti-slip performance of the textured bonding surface.

[0128] Example 2

[0129] A model building device for a method for evaluating the anti-slip performance of a textured bonding surface, characterized in that: the model building device includes a modeling module for modeling a method for evaluating the anti-slip performance of a textured bonding surface described in Example 1.

[0130] Example 3

[0131] An electronic device, characterized in that it includes a processor and a memory, wherein the memory stores computer-readable instructions, and when the computer-readable instructions are executed by the processor, the evaluation method described in Example 1 can be run.

[0132] Example 4

[0133] A readable storage medium having a computer program stored thereon, characterized in that when the computer program is executed by a processor, the steps of the evaluation method described in Example 1 are executed.

[0134] The above description of the disclosed embodiments enables those skilled in the art to implement or use the present invention. Various modifications to these embodiments will be apparent to those skilled in the art, and the general principles defined herein may be implemented in other embodiments without departing from the spirit or scope of the present invention. Therefore, the present invention will not be limited to the embodiments shown herein, but rather to the widest scope consistent with the principles and novel features disclosed herein.

Claims

1. A method for evaluating the anti-slip performance of a textured bonding surface, characterized in that: The following steps are involved: 1) The tangential contact stiffness of the rough contact surface in the textured interface is calculated based on statistical theory and fractal theory; 2) Calculate the tangential contact stiffness of the texture contact surface in the textured joint surface based on the bite effect between the micro-asperities and the texture; 3) Linearly superimpose the tangential contact stiffness of the rough contact surface part and the tangential contact stiffness of the textured contact surface part to obtain the tangential contact stiffness of the textured bonding surface; 4) The microscopic tangential displacement is obtained through the tangential contact stiffness of the textured bonding surface: Among them, F T is the tangential load, A is the macro contact area, K T is the tangential contact stiffness of the textured bonding surface; 5) The anti-slip ability of the textured bonding surface is obtained based on the microscopic tangential displacement: g=l τ -1 。 2. The method for evaluating the anti-slip performance of a textured bonding surface according to claim 1, characterized in that: In the step 1), the tangential contact stiffness of the rough contact surface is: Where, μ is the friction coefficient, ν is the equivalent Poisson's ratio, G is the equivalent shear modulus, D is the fractal dimension, ψ is the expansion coefficient of the micro-convex body size distribution, and a l is the maximum contact area of ​​the microconvex body, F T is the tangential load and F is the normal load.

3. The method for evaluating the anti-slip performance of a textured bonding surface according to claim 1, characterized in that: In the step 2), the tangential contact stiffness of the texture contact surface is: Where, μ is the friction coefficient, ν is the equivalent Poisson's ratio, G is the equivalent shear modulus, D is the fractal dimension, S is the texture effect coefficient, and F is the equivalent shear modulus. T is the tangential load and F is the normal load.

4. The method for evaluating the anti-slip performance of a textured bonding surface according to claim 3, characterized in that: The calculation formula of S is: S=PLρ A Where P is the surface density influence coefficient, ρ A is the surface density, and L is the texture shape and size influence coefficient.

5. The method for evaluating the anti-slip performance of a textured bonding surface according to claim 1, characterized in that: In the step 3), the tangential contact stiffness of the textured bonding surface is: K T =K0+K1 Among them, K0 is the tangential contact stiffness of the rough contact surface part, and K1 is the tangential contact stiffness of the textured contact surface part.

6. The method for evaluating the anti-slip performance of a textured bonding surface according to claim 1, characterized in that: The step 1) comprises: 101) The tangential contact stiffness of a single micro-convex body in the textured joint surface is calculated as: Where, μ is the friction coefficient, ν is the equivalent Poisson's ratio, a is the contact area of ​​the micro-convex body, G is the equivalent shear modulus, D is the fractal dimension, and F is the equivalent shear modulus. T is the tangential load, and F is the normal load; 102) According to fractal theory, the area distribution function of micro-convex body is obtained as follows: Where D is the fractal dimension, ψ is the expansion coefficient of the asperity size distribution, and a l is the maximum contact area of ​​the microconvex body, F T is the tangential load, a is the contact area of ​​the micro-convex body, a l， is the maximum micro-convex cross-sectional area; 103) Based on the tangential contact stiffness of a single micro-convex body and the micro-convex body area distribution function, the tangential contact stiffness of the rough contact surface is obtained: Among them, a l is the maximum contact area of ​​the micro-convex body, a c is the critical contact area of ​​the micro-convex body.

7. A method for evaluating the anti-slip performance of a textured bonding surface according to claim 6, characterized in that: In the step 103), the critical contact area of ​​the micro-convex body is: to c =0.01a l Among them, a l is the maximum contact area of ​​the micro-convex body.

8. A model building device for evaluating the anti-slip performance of a textured bonding surface, characterized in that: The model building device includes a modeling module for modeling using the method for evaluating the anti-slip performance of a textured bonding surface as described in any one of claims 1-7.

9. An electronic device, characterized in that: The invention comprises a processor and a memory, wherein the memory stores computer-readable instructions, and when the computer-readable instructions are executed by the processor, the evaluation method according to any one of claims 1 to 7 can be executed.

10. A readable storage medium having a computer program stored thereon, characterized in that: When the computer program is executed by a processor, the steps of the evaluation method according to any one of claims 1 to 7 are executed.

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