Pressure equalizing groove design method and device based on optimal bearing capacity and storage medium

Abstract

This application discloses a design method, device, and storage medium for a pressure equalization tank based on optimal load-bearing capacity. The method includes: constructing a load-bearing capacity model for the pressure equalization tank and a small-orifice throttling gas supply model; constructing an approximate gas pressure distribution model to avoid requiring an exact solution to the Reynolds equation; constructing a nonlinear gas pressure model for the pressure equalization tank based on the approximate gas pressure distribution model and the width of the pressure equalization tank to describe the relationship between pressure and structural parameters within the tank; and determining an optimized load-bearing capacity model based on the pressure equalization tank's load-bearing capacity model and the nonlinear gas pressure model to perform numerical analysis on preset parameters in the nonlinear gas pressure model. This application, by establishing an optimized model coupled with multiple parameters such as tank width and depth, and constructing a more engineering-realistic description of the pressure field distribution based on the Reynolds equation, overcomes the accuracy deviations present in current related technologies when performing pressure equalization tank design based on the isobaric assumption, thus making the design results more consistent with actual working conditions.

Description

Technical Field

[0001] This application relates to a design method for a pressure equalization groove based on optimal load-bearing capacity, electronic equipment, and computer-readable storage medium, belonging to the field of gas bearing and precision support structure design. Background Technology

[0002] Pressure equalizing channels are widely used in engineering structures such as hydraulic valves, piston seals, and hydrostatic supports. They primarily function by creating a uniform pressure field at the lubricated or sealed interface, effectively reducing frictional resistance, preventing jamming of moving parts, and simultaneously improving load-bearing capacity and system stability. Currently, pressure equalizing channel design in related technologies mainly relies on a combination of empirical formulas or finite element simulations through trial and error. This approach is often based on isobaric assumptions or simplified fluid models, making it difficult to accurately reflect the nonlinear distribution characteristics of the pressure field under actual operating conditions. This leads to significant performance redundancy or insufficient load-bearing capacity in the design results. Especially under high-pressure, high-speed, or large-clearance operating conditions, the coupling relationship between the load-bearing performance of the pressure equalizing channel and various design parameters becomes overly complex and variable, significantly limiting the adaptability of the design results. Summary of the Invention

[0003] This application discloses a design method for a pressure equalization trench based on optimal load-bearing capacity, an electronic device, and a computer-readable storage medium.

[0004] The pressure equalization trench design method based on optimal bearing capacity in this application includes the following steps: Construct a load-bearing capacity model for the equalizing groove and a small-hole throttling gas supply model; Based on the fluid diffusion characteristics and boundary conditions, an approximate model of air pressure distribution is constructed to avoid the need for an exact solution to the Reynolds equation; Based on the approximate pressure distribution model and the width of the equalizing groove, a nonlinear pressure model for the equalizing groove is constructed by introducing a nonlinear correction term based on flow balance, in order to describe the relationship between pressure and structural parameters within the equalizing groove. Based on the bearing capacity model of the equalizing tank and the nonlinear air pressure model, a bearing capacity optimization model is determined to perform numerical analysis on the preset parameters in the nonlinear air pressure model, thereby realizing the design of the equalizing tank.

[0005] In some embodiments, the load-bearing capacity model for constructing the equalizing trench and the orifice throttling gas supply model include: The bearing capacity model is determined based on the air pressure at any position on the bearing surface of the equalizing groove, the bearing capacity generated by the equalizing groove, and the area of ​​the bearing surface. Based on the cross-sectional area of ​​the orifice of the equalizing tank, the density of the gas entering the equalizing tank, the gas supply pressure, and the pressure carried by the equalizing tank, the orifice throttling gas supply model is determined to describe the gas flow rate entering the equalizing tank.

[0006] In some embodiments, the formula for the bearing capacity model is:

[0007] in The bearing capacity generated by the equalizing tank, The air pressure at any position on the bearing surface of the equalizing groove. Let the coordinates of the arbitrary position be... The area of ​​the bearing surface; The formula for the orifice throttling gas supply model is:

[0008] in The gas flow rate entering the equalizing tank. For flow coefficient, Let be the cross-sectional area of ​​the throttling orifice. The density of the gas entering the equalizing tank, The supply pressure of the gas. The pressure carried by the equalizing tank.

[0009] In some implementations, constructing an approximate pressure distribution model based on fluid diffusion characteristics and boundary conditions to avoid an exact solution to the Reynolds equation includes: Based on the fluid diffusion characteristics and boundary conditions, the approximate function of the initial gas pressure distribution in the equalizing tank is determined; Based on the flow law of gas in the gas film, and based on the approximate function of the initial gas pressure distribution, the gas flow rate and gas pressure distribution function per unit width of the pressure equalization tank are constructed, and the total gas leakage function is further determined. Based on the total gas leakage function and the orifice throttling gas supply model, the approximate gas pressure distribution model is constructed by coupling.

[0010] In some embodiments, when the equalizing groove is rectangular, the formula for the approximate pressure distribution model is as follows:

[0011] in This is an approximate function of the initial air pressure distribution. The radial position coordinates are taken as the origin from the center of the equalizing tank. for The function, The gas flow rate per unit width, Let be the pressure distribution function. The thickness of the gas film at the equalizing groove. The width of the equalizing groove is [value]. , The dynamic viscosity of the gas. The pressure carried by the equalizing tank. The gas flow rate entering the equalizing tank. Let be a function of the total gas discharge rate. This is an approximate model of the air pressure distribution.

[0012] In some embodiments, the formula for the nonlinear pressure model is:

[0013] in The pressure carried by the equalizing tank. The gas supply pressure is the pressure of the gas. The first comprehensive coefficient reflects the linear leakage effect. This is the second comprehensive coefficient, reflecting the nonlinear diffusion effect.

[0014] In some embodiments, determining a bearing capacity optimization model based on the bearing capacity model of the equalizing tank and the nonlinear pressure model, and performing numerical analysis on preset parameters in the nonlinear pressure model to achieve the design of the equalizing tank, includes: When the equalizing groove is rectangular, the bearing capacity of the equalizing groove is determined according to the dimensional parameters of the equalizing groove and the bearing capacity model. Substitute the bearing capacity of the equalizing tank into the nonlinear air pressure model to determine the bearing capacity optimization model; Under the condition that the load-bearing capacity optimization model and the dimensional parameters of the equalizing tank meet the preset conditions, the design values ​​of the dimensional parameters of the equalizing tank are determined; Numerical analysis is performed on the second comprehensive coefficient to ensure the accuracy of the design values ​​of the dimensional parameters, thereby realizing the design of the pressure equalization tank.

[0015] In some implementations, the formula for the bearing capacity optimization model is:

[0016] in The bearing capacity generated by the equalizing tank, The width of the equalizing groove is [value]. The length of the equalizing groove is... This is the first comprehensive coefficient, reflecting the linear leakage effect. This is the second comprehensive coefficient, reflecting the nonlinear diffusion effect; The step of determining the design values ​​of the dimensional parameters of the equalizing tank when the bearing capacity optimization model and the dimensional parameters of the equalizing tank meet preset conditions includes: When the derivative of the bearing capacity optimization model with respect to the width of the equalizing groove is zero, the design value of the width of the equalizing groove is determined. The design value of the width of the equalizing groove and the second comprehensive coefficient satisfy the following relationship:

[0017] in This is the design value for the width of the equalizing groove. For comprehensive correction factors, This is related to the geometry, boundary conditions, and flow state of the equalizing tank. The thickness of the gas film at the equalizing groove. The dynamic viscosity of the gas. The diameter of the throttling orifice in the equalizing groove.

[0018] The electronic device in this application includes a memory and a processor. The memory stores a computer program, and when the computer program is executed by the processor, the pressure equalization tank design method based on optimal load-bearing capacity in the above-described embodiments is implemented.

[0019] The computer-readable storage medium in the embodiments of this application stores a computer program that, when executed by one or more processors, implements the pressure equalization tank design method based on optimal load-bearing capacity described in the above embodiments.

[0020] The beneficial effects of this application are: the pressure equalization trench design method based on the optimal bearing capacity in the embodiments of this application establishes an optimization model formed by coupling multiple parameters such as trench width and trench depth, and constructs a description method for pressure field distribution that is more in line with engineering practice based on the Reynolds equation. This can overcome the accuracy deviation that exists when performing pressure equalization trench design based on the isobaric assumption in the current related technologies, so that the design results are more in line with the actual working conditions. Attached Figure Description

[0021] Figure 1 This is one of the flowcharts illustrating the pressure equalization trench design method based on optimal bearing capacity in the embodiments of this application; Figure 2 This is a schematic cross-sectional view of the orifice throttling and pressure equalizing groove in the gas static pressure lubrication system according to the embodiments of this application; Figure 3 This is the second flowchart illustrating the pressure equalization trench design method based on optimal bearing capacity in the embodiments of this application; Figure 4 This is the third flowchart illustrating the pressure equalization trench design method based on optimal bearing capacity in the embodiments of this application; Figure 5 This is the fourth flowchart of the pressure equalization trench design method based on optimal bearing capacity in the embodiments of this application. Detailed Implementation

[0022] Please see Figure 1 The pressure equalization trench design method based on optimal bearing capacity in the embodiments of this application specifically includes the following steps: Step 01: Construct the bearing capacity model of the equalizing groove and the orifice throttling gas supply model.

[0023] Specifically, please refer to Figure 2 , Figure 2 The cross-sectional structure of a small-hole throttling and pressure equalizing groove to be designed in a gas hydrostatic lubrication system is schematically shown. All embodiments and examples in this application are based on... Figure 2 The diagram shows the unfolded structure, where the equalizing groove is a rectangular groove. The width of the equalizing tank and the length of the equalizing tank are given. exist Figure 2 Not shown in the image. The gas supply pressure for the input equalization tank. The pressure is the ambient air pressure of the equalization tank. The equalization tank is connected to the air supply source through a throttling orifice, and the gas enters the equalization tank area through the throttling orifice. The diameter of the throttling orifice. Let be the cross-sectional area of ​​the throttling orifice. The effective gas film thickness at the equalization groove. The depth of the equalizing tank. The thickness of the gas film at the equalization groove. .

[0024] Based on such Figure 2 The present application proposes a method for designing the property parameters of the pressure equalization tank as described in the following embodiments. First, based on the above structure, a bearing capacity model inside the pressure equalization tank and a throttling air supply model based on the above-described throttling orifice for supplying air to the pressure equalization tank are constructed.

[0025] Further, please refer to Figure 3 In some embodiments, step 01 further includes: Step 011: Determine the bearing capacity model based on the air pressure at any position on the bearing surface of the equalizing tank, the bearing capacity generated by the equalizing tank, and the area of ​​the bearing surface; Step 012: Determine the orifice throttling gas supply model based on the cross-sectional area of ​​the equalizing tank, the density of the gas entering the equalizing tank, the gas supply pressure, and the gas pressure carried by the equalizing tank, in order to describe the gas flow rate entering the equalizing tank.

[0026] It should be noted that, Figure 3 This is for illustrative purposes only; the execution order of steps 011 and 012 can be adjusted according to actual circumstances. Figure 3 This should not be interpreted as a restriction on the execution order of steps 011 and 012.

[0027] Specifically, in a gas hydrostatic lubrication system, the gas pressure inside the equalizing groove provides support to the bearing surface. The bearing capacity model inside the equalizing groove is mainly used to quantitatively describe the bearing capacity of the equalizing groove. In the bearing capacity model, the bearing capacity generated by the bearing surface of the equalizing groove is mainly obtained by integrating the pressure distribution within the bearing area, as shown in Formula 1.

[0028] ... Formula 1 in The bearing capacity generated by the equalizing trench The air pressure at any point on the bearing surface of the equalizing groove. Let be the coordinates of any position on the bearing surface of the equalizing groove. This refers to the area of ​​the bearing surface.

[0029] Specifically, considering the good pressure equalization effect of the equalizing tank, the air pressure within the equalizing tank can be approximated as uniformly distributed in engineering analysis. More specifically, when the equalizing tank is like... Figure 2 When the situation shown is a rectangular groove, the area of ​​the bearing surface of the equalizing groove can be directly expressed as the product of the groove width and the groove length. Then, Formula 1 can be further expressed as shown in Formula 2.

[0030] ... Formula 2 in The air pressure carried by the equalization tank.

[0031] In this way, the load-bearing capacity model can clearly define the relationship between the load-bearing capacity generated by the equalization tank, the air pressure inside the equalization tank, and the structural dimensions of the equalization tank itself, providing a data basis for the subsequent optimization design process.

[0032] And in Figure 2 In the structure shown, the orifice throttling process is a localized contraction flow of gas, which is an important source of gas pressure formation inside the equalizing tank. The specific gas flow characteristics can be described using classical throttling theory, thus forming an orifice throttling gas supply model, as shown in Equation 3.

[0033] ... Formula 3 in The gas flow rate entering the equalization tank. For flow coefficient, Let be the cross-sectional area of ​​the throttling orifice. The density of the gas entering the equalization tank. The gas supply pressure is the pressure of the gas. The air pressure carried by the equalization tank.

[0034] Formula 3 represents the orifice throttling gas supply model, which reflects the relationship between the gas supply capacity when supplying gas into the equalizing tank and the gas pressure difference generated at the equalizing tank.

[0035] Please continue reading. Figure 1 The pressure equalization trench design method based on optimal bearing capacity in the embodiments of this application further includes: Step 02: Based on the fluid diffusion characteristics and boundary conditions, construct an approximate model of air pressure distribution to avoid the need for an exact solution to the Reynolds equation.

[0036] Specifically, in a gas hydrostatic lubrication system, the gas in the equalizing tank flows outward through a gas film, and this flow is a typical thin-film flow. Due to the thickness of the gas film at the equalizing tank... Much smaller than the width of the equalizing tank Therefore, the Reynolds equation from gas lubrication theory can be used to describe the above-mentioned thin film flow. Based on the general form of the two-dimensional Reynolds equation and the above assumptions, it can be simplified to the form shown in Equation 4.

[0037] ... Formula 4 in This indicates the air pressure distribution inside the air film. The thickness of the gas film at the equalization groove. Let be the coordinates of any position on the bearing surface of the equalizing groove.

[0038] Based on Equation 4, it can be seen that within the equalizing tank region, the internal gas pressure distribution is determined by the boundary conditions, exhibiting a gradual diffusion characteristic from high-pressure areas to low-pressure areas. The gas pressure carried by the equalizing tank is not completely uniform, but gradually decreases from the center to the edge. The gas film's leakage flow rate (i.e., the leakage capacity used to characterize the gas film) is directly related to the effective gas film thickness. Relatedly, due to the thickness of the equalizing groove It is a fixed value, therefore the leakage flow rate of the gas film and the gas film thickness at the equalization groove are related. The inlet flow rate of the orifice throttling system is related to the depth of the equalizing groove, while the inlet flow rate of the orifice throttling system is not directly related to the depth of the equalizing groove.

[0039] Since the Reynolds equation is a partial differential equation, the complexity of its exact solution is not applicable to the actual scenario of engineering analysis. Therefore, for example, this application uses a quadratic function approximation method to describe the pressure distribution in the equalization tank based on the fluid diffusion characteristics and boundary conditions, and constructs an approximate model of the pressure distribution, thereby achieving the description of the pressure distribution without requiring an exact solution to the Reynolds equation.

[0040] Further, please refer to Figure 4 In some embodiments, step 02 further includes: Step 021: Determine the approximate function of the initial gas pressure distribution in the equalization tank based on the fluid diffusion characteristics and boundary conditions; Step 022: Based on the flow law of gas in the gas film, and based on the approximate function of the initial gas pressure distribution, construct the gas flow rate and gas pressure distribution function per unit width of the equalizing tank, and further determine the total gas leakage function; Step 023: Based on the total gas leakage function and the orifice throttling gas supply model, construct an approximate gas pressure distribution model.

[0041] Specifically, based on the above implementation method, firstly, based on the fluid diffusion characteristics and boundary conditions, the approximate situation of the air pressure distribution in the air film is represented in the form of a quadratic function through the initial air pressure distribution approximation function, as shown in Formula 5.

[0042] ... Formula 5 in This is an approximate function of the initial air pressure distribution. This represents the radial position coordinates of a point within the equalizing tank, with the geometric center of the equalizing tank as the origin, describing the distance between the corresponding point and the aforementioned origin. The air pressure borne by the equalization tank, The width of the equalizing tank.

[0043] Since the flow of gas in the gas film follows certain rules, based on the above-mentioned approximate function of initial gas pressure distribution, it is possible to analyze and represent the gas flow rate per unit width in the equalizing groove, the gas pressure distribution function in the gas film, and the total gas leakage function. Finally, the total gas leakage function is coupled with the orifice throttling gas supply model in the above embodiment under equal conditions, as shown in Formula 6.

[0044] ... Formula 6 in This is an approximate function of the initial air pressure distribution. The radial position coordinates are taken with the center of the equalizing tank as the origin. for The function, Gas flow rate per unit width Let be the pressure distribution function, which is the derivative of the initial pressure distribution approximation function. The thickness of the gas film at the equalization groove. The width of the equalizing groove, , The dynamic viscosity of the gas. The air pressure borne by the equalization tank, The gas flow rate entering the equalization tank. Let be a function of the total gas discharge rate. This is an approximate model of air pressure distribution.

[0045] For the approximate pressure distribution model represented by Equation 6 The specific process involves first differentiating the approximate initial pressure distribution function to obtain the pressure distribution function, and then further combining the pressure distribution function with the thickness of the air film. Dynamic viscosity of gas Determine the gas flow rate per unit width within the equalizing tank. Furthermore, the gas flow rate per unit width For radial position Taking the definite integral from the center of the equalizing tank to the width of the tank at all points, the total gas discharge function is obtained. This is necessarily proportional to the definite integral. Considering that the derivation in Formula 6 only takes into account flow in one direction, to better reflect actual conditions, further calculations are made based on the groove width. The above proportional relationship is corrected by two-dimensional diffusion to obtain the result in Formula 6. This is a direct proportional relationship. And according to Formula 3, the gas flow rate entering the equalizing tank... and Proportional, therefore, under the condition that the intake flow rate and the total exhaust flow rate are equal, that is... Under these conditions, by combining the two sets of proportional relationships mentioned above, an approximate pressure distribution model as shown in Formula 6 can be constructed. .

[0046] Please continue reading. Figure 1 The pressure equalization trench design method based on optimal bearing capacity in the embodiments of this application further includes: Step 03: Based on the approximate pressure distribution model and the width of the equalization trough, a nonlinear correction term is introduced based on flow balance to construct a nonlinear pressure model for the equalization trough, in order to describe the relationship between pressure and structural parameters within the equalization trough.

[0047] Specifically, current design methods for pressure equalization tanks generally assume that the pressure distribution within the tank is uniform and linearly related to its structural parameters. However, in reality, as the tank width increases... As the pressure increases, the gas flow path lengthens, and the edge leakage and pressure diffusion effects intensify, resulting in a nonlinear change in gas pressure. Therefore, to improve the accuracy of the pressure equalization tank design and better reflect actual conditions, for example, in the aforementioned approximate gas pressure distribution model... Under the established conditions and with gas flow balance, a nonlinear correction term is further introduced to construct a distribution relationship as shown in Equation 7. This distribution relationship is based on the gas supply pressure. The pressure that the equalizing tank can withstand under known conditions With slot width The distribution relationship between them can be further combined with the relevant description of the linear leakage effect to expand into a nonlinear pressure model as shown in Equation 8.

[0048] ... Formula 7 ... Formula 8 in The air pressure borne by the equalization tank, The gas supply pressure is the pressure of the gas. The first comprehensive coefficient reflects the linear leakage effect. The second comprehensive coefficient reflects the nonlinear diffusion effect, and the introduced nonlinear correction term is: .

[0049] The nonlinear pressure model shown in Equation 8 introduces a nonlinear correction term. The air pressure in the equalizing tank varies with the structural parameters (i.e., the tank width). The design of the equalizing tank follows the pattern of change, thus making the design results more closely reflect the actual situation.

[0050] Please continue reading. Figure 1 The pressure equalization trench design method based on optimal bearing capacity in the embodiments of this application further includes: Step 04: Based on the bearing capacity model and nonlinear air pressure model of the equalization tank, determine the bearing capacity optimization model, and perform numerical analysis on the preset parameters in the nonlinear air pressure model to realize the design of the equalization tank.

[0051] Specifically, based on the above implementation method, for example, when the bearing capacity model as shown in Formula 2 and the nonlinear gas pressure model as shown in Formula 8 have been determined, the two can be further combined to form a bearing capacity optimization model, thereby combining the bearing capacity, the gas inlet pressure, and the structural characteristics of the equalizing groove, so as to facilitate further numerical analysis and thus realize the design of the equalizing groove.

[0052] Please see Figure 5In some embodiments, step 04 further includes: Step 041: When the equalization tank is rectangular, determine the bearing capacity of the equalization tank based on its dimensional parameters and bearing capacity model. Step 042: Substitute the bearing capacity of the equalizing tank into the nonlinear gas pressure model to determine the bearing capacity optimization model; Step 043: Under the premise that the load-bearing capacity optimization model and the dimensional parameters of the equalization tank meet the preset conditions, determine the design values ​​of the dimensional parameters of the equalization tank; Step 044: Perform numerical analysis on the second comprehensive coefficient to ensure the accuracy of the design values ​​of the dimensional parameters and realize the design of the pressure equalization tank.

[0053] Specifically, based on the above implementation method, the method for determining the bearing capacity optimization model is first based on Formula 1, in... Figure 2 Under the given conditions, the bearing capacity model shown in Formula 2 is derived, thus obtaining... Figure 2 The bearing capacity of the equalizing tank in the case shown Next, the load-bearing capacity will be obtained. Substituting these values ​​into the nonlinear air pressure model shown in Equation 8, a bearing capacity optimization model is formed, as shown in Equation 9.

[0054] ... Formula 9 in The bearing capacity generated by the equalizing trench The width of the equalizing groove, The length of the equalizing tank. As the first comprehensive coefficient, This is the second comprehensive coefficient.

[0055] For example, next, according to the bearing capacity optimization model shown in Formula 9, in order to maximize the bearing capacity, considering the functional increase or decrease of the bearing capacity optimization model itself, the width of the equalizing groove is calculated based on the function shown in Formula 9. The derivative of the function, the value of which corresponds to 0. The value that maximizes the load-bearing capacity can be used as the design value for the width of the equalizing groove. Calculations show that That is, design value Only in the second comprehensive coefficient The above results indicate that there exists an optimal design value for the width of the equalizing groove that maximizes its load-bearing capacity.

[0056] Based on this, we only need to consider the second comprehensive coefficient. Numerical analysis can yield the most accurate and realistic width of the equalizing groove. As for the second comprehensive coefficient, which reflects the nonlinear diffusion effect... Its specific representation is shown in Formula 10.

[0057] … Formula 10 in For comprehensive correction factors, It is related to the geometry of the equalizing tank, boundary conditions, and flow state. The thickness of the gas film at the equalization groove. The dynamic viscosity of the gas. The diameter of the throttling orifice.

[0058] Second comprehensive coefficient The thickness of the air film is determined by both its flow capacity and the air supply capacity at the throttling orifice: the thicker the air film ( The larger the viscosity (the greater the viscosity), the stronger the diffusion ability of the gas within the equalizing tank, and the more significant the pressure drop; the dynamic viscosity of the gas... The larger the value, the more difficult the gas flow and the weaker the pressure drop. Second comprehensive coefficient. Essentially, it reflects the relative relationship between the gas film leakage capacity and the throttling gas supply capacity, and is a key parameter describing the nonlinear pressure variation characteristics of the equalizing tank.

[0059] And the comprehensive correction coefficient These are correction coefficients combining empirical and theoretical approaches, used to map the combined effects of film gas leakage, tank geometry, boundary conditions, and orifice gas supply capacity into a nonlinear pressure model. In practical engineering design, they can be determined through numerical simulation, experimental calibration, or engineering experience to ensure that the model accurately reflects the nonlinear pressure decay law with tank width within the equalizing tank. This is achieved by rationally determining the comprehensive correction coefficients. This ensures the accuracy of the nonlinear pressure model in load-bearing capacity optimization and optimal groove width solution, thereby guiding the design of equalizing groove structures.

[0060] Therefore, by analyzing the second comprehensive coefficient Included , , , By making adjustments, we can obtain the slot width design value that best reflects the actual situation. This allows for the design of a pressure equalization tank.

[0061] The electronic device in this application includes a memory and a processor. The memory stores a computer program. When the computer program is executed by the processor, the pressure equalization tank design method based on optimal load-bearing capacity in the above-described embodiments is implemented.

[0062] The computer-readable storage medium in the embodiments of this application stores a computer program that, when executed by one or more processors, implements the pressure equalization tank design method based on optimal load-bearing capacity described in the above embodiments.

[0063] The beneficial effects of this application are: the pressure equalization trench design method based on the optimal bearing capacity in the embodiments of this application establishes an optimization model formed by coupling multiple parameters such as trench width and trench depth, and constructs a description method for pressure field distribution that is more in line with engineering practice based on the Reynolds equation. This can overcome the accuracy deviation that exists when performing pressure equalization trench design based on the isobaric assumption in the current related technologies, so that the design results are more in line with the actual working conditions.

[0064] The above description is merely a preferred embodiment of this application and is not intended to limit this application in any way. Although this application has disclosed the preferred embodiment as above, it is not intended to limit this application. Any person skilled in the art can make some modifications or alterations to the above-disclosed technical content to create equivalent embodiments without departing from the scope of the technical solution of this application. Any simple modifications, equivalent substitutions, and improvements made to the above embodiments without departing from the technical solution of this application, based on the technical essence of this application and within the spirit and principles of this application, shall still fall within the protection scope of the technical solution of this application.

Claims

1. A design method for a pressure equalization trench based on optimal bearing capacity, characterized in that, The method includes: Construct a load-bearing capacity model for the equalizing groove and a small-hole throttling gas supply model; Based on the fluid diffusion characteristics and boundary conditions, an approximate model of air pressure distribution is constructed to avoid the need for an exact solution to the Reynolds equation; Based on the approximate pressure distribution model and the width of the equalizing groove, a nonlinear pressure model for the equalizing groove is constructed by introducing a nonlinear correction term based on flow balance, in order to describe the relationship between pressure and structural parameters within the equalizing groove. Based on the bearing capacity model of the equalizing tank and the nonlinear air pressure model, a bearing capacity optimization model is determined to perform numerical analysis on the preset parameters in the nonlinear air pressure model, thereby realizing the design of the equalizing tank.

2. The method according to claim 1, characterized in that, The load-bearing capacity model for constructing the equalizing trench and the orifice throttling gas supply model include: The bearing capacity model is determined based on the air pressure at any position on the bearing surface of the equalizing groove, the bearing capacity generated by the equalizing groove, and the area of ​​the bearing surface. Based on the cross-sectional area of ​​the orifice in the equalizing tank, the density of the gas entering the equalizing tank, the gas supply pressure, and the gas pressure inside the equalizing tank, the orifice throttling gas supply model is determined to describe the gas flow rate entering the equalizing tank.

3. The method according to claim 2, characterized in that, The formula for the bearing capacity model is: wherein a bearing force generated for the equalizing groove, an air pressure at an arbitrary position of a bearing surface of the equalizing groove, coordinates of the arbitrary position, an area of the bearing surface; The formula for the orifice throttling gas supply model is: wherein is the gas flow into the equalization tank, is the flow coefficient, is the cross-sectional area of the throttle orifice, is the density of the gas entering the equalization tank, is the supply gas pressure of the gas, is the gas pressure carried by the equalization tank.

4. The method of claim 1, wherein, The process of constructing an approximate pressure distribution model based on fluid diffusion characteristics and boundary conditions to avoid the need for an exact solution to the Reynolds equation includes: Based on the fluid diffusion characteristics and boundary conditions, the approximate function of the initial pressure distribution of the equalizing tank is determined; Based on the flow law of gas in the gas film, and based on the initial pressure distribution approximation function, the gas flow rate and pressure distribution function per unit width of the pressure equalization tank are constructed, and the total gas leakage function is further determined. Based on the total gas leakage function and the orifice throttling gas supply model, the approximate gas pressure distribution model is constructed by coupling.

5. The method of claim 4, wherein, When the equalizing groove is rectangular, the formula for the approximate pressure distribution model is as follows: in This is an approximate function of the initial pressure distribution. The radial position coordinates are taken as the origin from the center of the equalizing tank. for The function, The gas flow rate per unit width, Let be the pressure distribution function. The thickness of the gas film at the equalizing groove. The width of the equalizing groove is [missing information]. , The dynamic viscosity of the gas. The pressure carried by the equalizing tank. The gas flow rate entering the equalizing tank. Let be a function of the total gas discharge rate. This is an approximate model of the air pressure distribution.

6. The method of claim 1, wherein, The formula for the nonlinear pressure model is: in The pressure carried by the equalizing tank. The gas supply pressure is the pressure of the gas. The first comprehensive coefficient reflects the linear leakage effect. This is the second comprehensive coefficient, reflecting the nonlinear diffusion effect.

7. The method of claim 6, wherein, The step of determining a bearing capacity optimization model based on the bearing capacity model of the equalizing tank and the nonlinear gas pressure model, and performing numerical analysis on preset parameters in the nonlinear gas pressure model to achieve the design of the equalizing tank, includes: When the equalizing groove is rectangular, the bearing capacity of the equalizing groove is determined according to the dimensional parameters of the equalizing groove and the bearing capacity model. Substitute the bearing capacity of the equalizing tank into the nonlinear air pressure model to determine the bearing capacity optimization model; Under the condition that the load-bearing capacity optimization model and the dimensional parameters of the equalizing tank meet the preset conditions, the design values ​​of the dimensional parameters of the equalizing tank are determined; Numerical analysis is performed on the second comprehensive coefficient to ensure the accuracy of the design values ​​of the dimensional parameters, thereby realizing the design of the pressure equalization tank.

8. The method of claim 7, wherein, The formula for the bearing capacity optimization model is: in The bearing capacity generated by the equalizing tank, The width of the equalizing groove is [missing information]. The length of the equalizing groove is... This is the first comprehensive coefficient, reflecting the linear leakage effect. This is the second comprehensive coefficient, reflecting the nonlinear diffusion effect; The step of determining the design values ​​of the dimensional parameters of the equalizing tank when the bearing capacity optimization model and the dimensional parameters of the equalizing tank meet preset conditions includes: When the derivative of the bearing capacity optimization model with respect to the width of the equalizing groove is zero, the design value of the width of the equalizing groove is determined. The design value of the width of the equalizing groove and the second comprehensive coefficient satisfy the following relationship: in This is the design value for the width of the equalizing groove. For comprehensive correction factors, This is related to the geometry, boundary conditions, and flow state of the equalizing tank. The thickness of the gas film at the equalizing groove. The dynamic viscosity of the gas. The diameter of the throttling orifice in the equalizing groove.

9. An electronic device, comprising: The electronic device includes a memory and a processor. The memory stores a computer program that, when executed by the processor, implements the pressure equalization tank design method based on optimal load-bearing capacity as described in any one of claims 1-8.

10. A computer-readable storage medium, characterized in that, The computer-readable storage medium stores a computer program that, when executed by one or more processors, implements the pressure equalization tank design method based on optimal load-bearing capacity as described in any one of claims 1-8.

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