Fuel gear pump fluid-solid coupling method based on RBF reconstruction

Abstract

The invention discloses a fuel gear pump fluid-solid coupling method based on RBF reconstruction. The method comprises the following steps: 1, establishing a fuel gear pump model, dividing grids, and carrying out internal flow field simulation to obtain a pressure field cloud picture; step 2, applying a test example to carry out RBF interpolation reconstruction precision verification, selecting a proper primary function by comparing fluid-solid interface data transmission relative errors of the example, and adopting the selected primary function to carry out subsequent gear pump fluid-solid interface flow field reconstruction; 3, gear finite element model preprocessing is carried out, fluid interface pressure data reconstruction is carried out, and then fluid interface data are transmitted to a gear interface; and 4, accurately transmitting the pressure data of the fluid interface to the solid interface through the steps, carrying out fluid-solid coupling solution to obtain a structural stress-strain field cloud picture, and analyzing the contact meshing characteristics of the gear. According to the invention, high-precision parameter transmission of a fluid-solid interface is realized, and coupling analysis of a gear pump pressure field and a gear stress-strain field is carried out.

Description

Technical Field

[0001] This invention relates to the field of aero-engine fuel pump technology, and in particular to a fluid-structure interaction method for fuel gear pumps based on RBF reconstruction. Background Technology

[0002] As a key component of aviation hydraulic systems, fuel gear pumps are commonly used as the main fuel pump and nozzle fuel source pump in aircraft engines. With the increasing demands for high-performance and high thrust-to-weight ratio engines, higher requirements are being placed on fuel gear pumps, including high performance, lightweight design, and long service life.

[0003] With the improvement of fuel gear pump performance, cavitation and friction wear caused by high-speed, high-pressure, and heavy-load environments have become increasingly serious, greatly affecting pump life and performance. With the rapid development of Computational Fluid Dynamics (CFD) and Finite Element Analysis (FEA), flow field simulation and finite element simulation techniques for fuel gear pumps have become quite mature. Fluid-structure interaction (FSI) analysis, as a key technology for revealing the interaction mechanism between hydrodynamic loads and the dynamic response of gear structures, has become an important direction in gear pump simulation research. However, in rotating machinery with complex motion boundaries, such as gear pumps, this method faces a technical bottleneck—the actual meshing clearance (usually...) Flow field simulation at the (level) level suffers from mesh distortion, leading to computational divergence. Therefore, in practical flow field analysis, it is necessary to enlarge the gaps (tooth tip gap and meshing gap). However, this results in geometric mismatch and mesh mismatch at the fluid-structure interface. Furthermore, existing commercial software lacks the adaptive processing capability for moving boundaries, making it difficult to meet the requirements for high-precision parameter transfer. This prevents key parameters such as fluid pressure and velocity fields from being accurately mapped to the solid structure surface, severely limiting the engineering application value of fluid-structure interaction analysis for gear pumps. In Zhou Qunqi's 2023 paper, "Study on Mechanical Characteristics of Double-Circular-Arch Helical Gear Pump Rotor under the Influence of Fluid-Structure Interaction," a unidirectional fluid-structure interaction method was used to study the variation law of mechanical characteristics of a double-circular-arc helical gear pump rotor under different load conditions. However, this study only achieved unidirectional transfer of interface data through a pre-set software interface, without adapting the data to address the mesh mismatch problem at the fluid-structure interaction interface, resulting in significant limitations in the accuracy of fluid-structure interaction calculations. Summary of the Invention

[0004] To overcome the above technical problems, the present invention aims to provide a fluid-structure interaction method for fuel gear pumps based on RBF reconstruction, which realizes high-precision parameter transfer of the fluid-structure interface and conducts coupling analysis of the pressure field of the gear pump and the stress-strain field of the gear.

[0005] The technical solution adopted in this invention is: A fluid-structure interaction method for a fuel gear pump based on RBF reconstruction includes the following steps; Step 1: Establish a fuel gear pump model, divide the mesh, conduct internal flow field simulation, and obtain pressure field cloud map to provide fluid interface pressure data for fluid-structure interaction analysis of the gear pump; Step 2: Apply test examples to verify the accuracy of RBF interpolation reconstruction. Select appropriate basis functions by comparing the relative errors of fluid-solid interface data transmission in the test examples, and use the selected basis functions to carry out subsequent fluid-solid interface flow field reconstruction of the gear pump. Step 3: Through the above steps, the flow field interface data inside the gear pump and the preferred basis function for RBF fluid-solid interface interpolation are obtained. The gear finite element model is preprocessed, the fluid interface pressure data is reconstructed, and then the fluid interface data is transferred to the gear interface to provide boundary conditions for subsequent gear meshing finite element simulation. Step 4: Accurately transfer the fluid interface pressure data to the solid interface through the above steps, perform fluid-structure interaction solution to obtain the structural stress-strain field cloud map, and analyze the contact meshing characteristics of the gear.

[0006] Step one specifically involves: The various components of the gear pump are created using UG 3D modeling software, and the components are assembled to obtain a 3D model of the gear pump. This model includes the driving gear, driven gear, housing, drive shaft and bearings. The internal cavity and flow channel of the gear pump three-dimensional model are extracted to form a gear pump fluid domain model for internal flow field simulation analysis, which consists of four parts: inlet region, outlet region, gear region and unloading groove. To avoid the simulation failing due to excessively small tooth tip clearance and meshing clearance, it is necessary to adjust the tooth tip and meshing clearance to meet the mesh accuracy requirements. Specifically, the minimum meshing clearance is increased from 0.005mm to 0.02mm, and the tooth tip clearance is adjusted from 0.01mm to 0.05mm, while keeping the tooth profile relatively unchanged.

[0007] The gear pump fluid domain mesh was further generated using ICEM meshing software. The inlet / outlet areas and unloading groove used unstructured meshing with a global scale factor of 0.0075 and the mesh type selected as "Tetra / Mixed" unstructured mesh. The gear region, however, used a structured layered mesh. First, the front face of the gear region was meshed with a global scale factor of 0.001 and the type selected as "All Tri" full triangular mesh. Then, the mesh of this front face was stretched, with 12 layers.

[0008] In Fluent fluid simulation software, the solution settings were as follows: aviation kerosene was selected as the material, the rotation speed was set to 8000 rpm, the inlet pressure was 0.1 MPa, and the outlet pressure was 5 MPa. A 2.5D dynamic mesh method was used to describe the mesh update, ultimately obtaining the pressure field change within one meshing cycle, i.e., the pressure field contour map. From the start to the end of meshing, as the meshing point position continuously changes, the volumes of the suction and pressure chambers change, thus causing the gradual evolution of the pressure field, reflecting the pressure transmission law during meshing. The nodal pressures at the fluid interface of the gear pump were extracted in the post-processing software to provide data for subsequent fluid-solid interface data transfer.

[0009] Step two specifically involves: The test function is set as follows: .in The x and y axes represent the horizontal and vertical coordinates, respectively; the test fluid domain has 6400 mesh nodes, the test solid domain has 1600 mesh nodes, and the interface mesh is as follows. Figure 7 As shown.

[0010] Interpolation analysis was performed using four commonly used global radial basis functions: Gaussian basis function, IQ (Inverse Quadratic) basis function, TPS (Thin-Plate Spline) basis function, and MQ (Multiquadric) basis function. Their expressions are as follows: , , , ; in, r Euclidean distance, c Using the same shape parameters, the interpolation results are compared with the exact solutions of the solid domain nodes. The basis function with the smallest relative interpolation error is selected to reconstruct the flow field at the gear pump interface.

[0011] Step three specifically involves: The 3D model of the gear consists of a driving gear and a driven gear. Since the transmission shaft has little impact on the finite element simulation of gear meshing, it is removed to simplify the simulation. Unlike fluid domain simulation, gear finite element simulation can converge under small meshing clearances, meaning that clearance adjustment is not required. Therefore, in the fluid-structure interaction analysis of the gear pump, it is necessary to transfer the parameter data of the fluid-structure interface under geometric mismatch and mesh mismatch, and then carry out the gear finite element strength simulation.

[0012] Further subdividing the mesh, the overall structured layered mesh is still used. The subdivision method is "multi-region". First, the front face of the gear is divided into a full triangular mesh, and then the overall size is set to 0.5mm.

[0013] The flow field reconstruction and data transfer at the gear pump interface were performed by obtaining the pressure distribution field at the fluid-gear interface through CFD simulation. The unstructured pressure dataset at the interface was extracted using the post-processing software CFD-post. This dataset contains the 3D coordinates of the fluid interface mesh nodes and the pressure data corresponding to each node. Subsequently, to address the issue of geometric mismatch and mesh mismatch at the fluid-solid interface, RBF interpolation was applied for high-precision flow field reconstruction. First, the mesh node coordinate data of the gear-solid interface were extracted. Then, the TPS function, which had the smallest transfer error in step two, was selected as the basis function. A data transfer program for the gear pump fluid-solid interface was written in Matlab. By establishing a spatial mapping relationship between the fluid and solid interfaces, the pressure data of the mismatched mesh nodes was reconstructed through interpolation. The reconstructed fluid pressure load was then transferred to the solid-gear interface through a software interface. The data was imported into the FEA model in the form of nodal loads, thus completing the fluid-solid load transfer at the gear pump interface.

[0014] Step four specifically involves: The gear 3D model and mesh generation results are obtained from step three. Then, the finite element simulation solution is set, the contact method is set to friction, the friction coefficient is 0.1, the rotational speed is set to 8000 rpm, consistent with the CFD simulation, and the torque is set to 10 N·m. Finally, the equivalent stress and equivalent strain change cloud map within one meshing cycle is obtained. The stress-strain distribution varies under different meshing conditions. Overall, the equivalent stress in double-tooth meshing is less than that in single-tooth meshing. This is because load distribution occurs in double-tooth meshing, with stress distributed to different teeth, resulting in a smaller equivalent stress. Besides the meshing point, significant equivalent stress also exists at the tooth roots and end faces of the meshing teeth. The variation pattern of equivalent strain is basically consistent with that of stress.

[0015] The beneficial effects of this invention are: This invention, based on the existing fuel gear pump structure, addresses the geometric mismatch and mesh inconsistency issues caused by clearance amplification in gear pump fluid-structure interaction (FSI) analysis. It provides a gear pump FSI method based on RBF interpolation reconstruction, obtaining the discrete pressure distribution at the fluid interface through high-precision internal flow field simulation. Combining this with propagation error analysis to optimize basis functions and construct an RBF interpolation model, it achieves the conservation and propagation of pressure data between mismatched meshes. This invention significantly improves the continuity and conservation of FSI data propagation, effectively reducing propagation errors caused by geometric mismatch and mesh inconsistency. Through RBF reconstruction and FSI node load propagation, the fluid interface pressure data is accurately imported as boundary conditions into the gear dynamic meshing simulation, providing a high-fidelity numerical analysis method for gear pump fatigue life prediction and clearance optimization design. This method has significant engineering value in the field of improving the reliability of high-pressure fuel systems. Attached Figure Description

[0016] Figure 1 This is a flowchart of the present invention.

[0017] Figure 2 This is a schematic diagram of a 3D model of a gear pump.

[0018] Figure 3 This is a schematic diagram of the fluid domain model of a gear pump.

[0019] Figure 4 This is a schematic diagram of the gap adjustment.

[0020] Figure 5 This is a schematic diagram of the fluid domain mesh for a gear pump.

[0021] Figure 6 This is a schematic diagram of pressure contour changes within one meshing cycle.

[0022] Figure 7 This is a schematic diagram of the grid for the test case.

[0023] Figure 8 This diagram illustrates the propagation error of different basis functions.

[0024] Figure 9 This is a schematic diagram of a 3D model of a gear.

[0025] Figure 10 This is a schematic diagram of a gear mesh.

[0026] Figure 11 This is a schematic diagram of flow field interface reconstruction and fluid-solid interface data transfer.

[0027] Figure 12 This is a contour map of the equivalent stress change within one meshing cycle.

[0028] Figure 13 This is a contour map of the equivalent strain changes within one meshing cycle. Detailed Implementation

[0029] The technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0030] The fluid-structure interface reconstruction method used in this invention is RBF interpolation, and its basic principle is as follows: Given a set of pairwise distinct points in D-dimensional Euclid space and the scalar values ​​at these points Based on these points, a continuous function is determined that passes through these points. When the function has the following form, it is called an RBF interpolation function: in, Let x be the unknown function value at point x, where x is the coordinate of the unknown point; These are the weight coefficients to be solved; A function based on the Euclid distance between two points is called an RBF basis function. For low-order D-dimensional polynomials, linear polynomials can be used: Find the solution using the following boundary conditions. n +4 polynomial unknowns: in, To meet All polynomials.

[0031] Assuming the fluid domain interface exists Each node exists at the solid domain interface. Node coordinates for fluid and solid components. They are respectively represented as and The physical quantities are respectively expressed as and Data transfer from fluid to solid requires the use of to indicate Therefore, the radial basis functions become as follows: Further, set , .

[0032] This can be simplified to: Therefore, the coefficient matrix to be determined is: Similarly, the coefficient matrix transferred from the solid to the fluid is: make: Similarly, it can be simplified to: Substituting the values ​​into the equations, we obtain the following relationship for fluid-structure interaction data transfer: Let the transfer matrix be ,but Therefore, the transfer matrix for data exchange from the fluid region to the solid structure region is: To achieve the relevant objectives, the present invention provides the following technical solution: like Figure 1 As shown, a fluid-structure interaction method for a fuel gear pump based on RBF interface reconstruction includes the following steps: Step 1: Establish a fuel gear pump model, divide the mesh, conduct internal flow field simulation, and obtain pressure field cloud map to provide fluid interface pressure data for fluid-structure interaction analysis of the gear pump; The specific steps are as follows: The various components of the gear pump were created using UG 3D modeling software, and then assembled. The final 3D model of the gear pump is shown below. Figure 2 As shown in the figure, the model consists of a driving gear, a driven gear, a housing, a drive shaft, and bearings.

[0033] Figure 3 The extracted gear pump fluid domain model consists of four parts: the inlet region, the outlet region, the gear region, and the unloading groove.

[0034] To avoid simulation failure due to excessively small tooth tip clearance and meshing clearance, it is necessary to adjust the tooth tip and meshing clearance to meet the mesh accuracy requirements, such as... Figure 4 As shown in the figure, the minimum meshing clearance is increased from 0.005 mm to 0.02 mm, the tooth tip clearance is adjusted from 0.01 mm to 0.05 mm, and the tooth profile remains relatively unchanged.

[0035] Further meshing of the gear pump fluid domain was generated using ICEM meshing software. The inlet / outlet regions and unloading groove used unstructured meshing with a global scale factor of 0.0075 and the mesh type selected as "Tetra / Mixed" unstructured mesh. The gear region used a structured layered mesh. First, the front face of the gear region was meshed with a global scale factor of 0.001 and the type selected as "All Tri" full triangular mesh. Then, the front face mesh was stretched with 12 layers. The final meshing result is shown below. Figure 5 As shown.

[0036] In Fluent fluid simulation software, the solution settings were as follows: aviation kerosene was selected as the material, the rotation speed was set to 8000 rpm, the inlet pressure was 0.1 MPa, and the outlet pressure was 5 MPa. A 2.5D dynamic mesh method was used to describe the mesh update. The final pressure field change over one meshing cycle is shown below. Figure 6 As shown, it can be observed that from the start to the end of meshing, as the position of the meshing point changes continuously, the volume of the oil suction chamber and the oil pressure chamber changes, which in turn causes the pressure field to evolve gradually, reflecting the pressure transmission law during meshing.

[0037] Step 2: Apply test examples to verify the accuracy of RBF interpolation reconstruction, select appropriate basis functions through error comparison, and use the selected basis functions to carry out subsequent reconstruction of the flow field at the gear pump flow-solid interface; The specific steps are as follows: The test function is set as follows: , The test fluid domain has 6400 mesh nodes, the test solid domain has 1600 mesh nodes, and the interface mesh is as follows: Figure 7 As shown.

[0038] Four global radial basis functions were selected for interpolation analysis, and their functional expressions are shown in Table 1. Among them, r Euclidean distance, c For shape parameters. Using the same shape parameters, compare the interpolation results with the exact solution of the solid domain nodes. The relative error of node data propagation is as follows: Figure 8 As shown in the figure, the RBF interpolation has high accuracy, and the TPS basis function performs the best. Therefore, this basis function will be selected to reconstruct the flow field at the gear pump interface.

[0039] Table 1 Commonly Used Global Basis Functions Step 3: Perform preprocessing of the gear finite element model, reconstruct the fluid interface pressure data, and then transfer the fluid interface data to the gear interface to provide boundary conditions for subsequent gear meshing finite element simulation. The specific steps are as follows: like Figure 9 The image shows a 3D model of the gear, consisting of a driving gear and a driven gear. Since the transmission shaft has little impact on the gear meshing finite element simulation, it is removed to simplify the simulation. Unlike fluid domain simulation, gear finite element simulation can converge with small meshing clearances, meaning no clearance adjustment is required. Therefore, in the fluid-structure interaction analysis of the gear pump, it is necessary to transfer parameter data at the fluid-structure interface under geometric mismatch and mesh mismatch conditions to conduct gear finite element strength simulation.

[0040] Further meshing was performed, still using a structured layered mesh overall. The meshing method was set to "multi-region". First, the front face of the gear was divided into a full triangular mesh, and then the overall size was set to 0.5mm. The final meshing result is as follows. Figure 10 As shown.

[0041] The schematic diagram of flow field reconstruction and data transmission at the gear pump interface is shown below. Figure 11As shown, CFD simulation can obtain the pressure distribution field at the fluid-gear interface. The unstructured pressure dataset at the interface is extracted using the post-processing software CFD-post. This dataset contains the three-dimensional coordinates of the fluid interface mesh nodes and the pressure data corresponding to each node. Subsequently, to address the issue of geometric mismatch and mesh mismatch at the fluid-solid interface, RBF interpolation is applied for high-precision flow field reconstruction. First, the mesh node coordinate data of the gear-solid interface are extracted. Then, the TPS function with the smallest transfer error in step two is selected as the basis function. A data transfer program for the gear pump fluid-solid interface is written in Matlab. By establishing a spatial mapping relationship between the fluid and solid interfaces, the pressure data of the mismatched mesh nodes is interpolated and reconstructed. The reconstructed fluid pressure load is then transferred to the solid-domain gear interface through a software interface. The data is imported into the FEA model in the form of nodal loads, ultimately completing the fluid-solid load transfer at the gear pump interface.

[0042] Step 4: Through the above steps, the pressure data of the fluid interface can be accurately transferred to the solid interface, and further fluid-structure interaction solution can be carried out to obtain the stress-strain field cloud map of the structure, and the contact meshing characteristics of the gear can be analyzed.

[0043] The specific steps are as follows: The 3D model and mesh generation of the gear are obtained from step three. Subsequently, finite element simulation is performed, setting the contact method to friction with a friction coefficient of 0.1; the rotational speed to 8000 rpm, consistent with the CFD simulation; and the torque to 10 N·m. The final result is a contour plot of the equivalent stress and equivalent strain changes over one meshing cycle, as shown below. Figure 12 and Figure 13 As shown.

[0044] It can be observed that the stress-strain distribution differs under different meshing conditions. Overall, the equivalent stress under double-tooth meshing is less than that under single-tooth meshing. This is because load distribution occurs during double-tooth meshing, with stress distributed to different teeth, resulting in a smaller equivalent stress. Besides the meshing point, significant equivalent stresses also exist at the tooth roots and end faces of the meshing teeth. The variation pattern of equivalent strain is basically consistent with that of stress.

Claims

1. A method for fluid-structure interaction of a fuel gear pump based on RBF reconstruction, characterized in that, The method comprises the following steps: Step one: establish the fuel gear pump model, divide the grid, carry out the internal flow field simulation, obtain the pressure field cloud picture, and provide the fluid interface pressure data for the gear pump fluid-solid coupling analysis; Step two: carry out the RBF interpolation reconstruction precision verification by using the test example, select the appropriate base function by comparing the relative error of the fluid-solid interface data transmission example, and carry out the subsequent gear pump fluid-solid interface flow field reconstruction by using the selected base function; Step three: through the above steps, the gear pump internal flow field interface data and the optimized base function applied to the RBF fluid-solid interface interpolation transmission are obtained, the gear finite element model is pretreated, the fluid interface pressure data is reconstructed, and then the fluid interface data is transmitted to the gear interface, so as to provide the boundary conditions for the subsequent gear meshing finite element simulation; Step four: through the above steps, the fluid interface pressure data is accurately transmitted to the solid interface, the structure stress and strain field cloud picture is obtained by carrying out the fluid-solid coupling solution, and the contact meshing characteristics of the gear are analyzed.

2. The fluid-structure interaction method of claim 1, wherein, The step one is specifically: A three-dimensional model of the gear pump is established by using UG three-dimensional modeling software, the parts are assembled, a three-dimensional model of the gear pump is obtained, the model comprises a driving gear, a driven gear, a shell, a transmission shaft and a bearing; An internal cavity and a flow channel of the three-dimensional model of the gear pump are extracted to form a gear pump fluid domain model for internal flow field simulation analysis, the model comprises an inlet region, an outlet region, a gear region and a unloading groove; The addendum and the meshing gap are adjusted to adapt to the grid precision requirement, wherein the minimum meshing gap is increased from 0.005 mm to 0.02 mm, the addendum gap is adjusted from 0.01 mm to 0.05 mm, and the tooth profile remains relatively unchanged; The gear pump fluid domain grid is generated in the ICEM grid division software, wherein the inlet and outlet regions and the unloading groove are divided by using unstructured grid, and the grid type is selected as "Tetra / Mixed" unstructured grid; The gear region adopts a structured layered grid, the grid division of the gear region front end surface is carried out first, the type is selected as "AllTri" full triangular grid, and then the grid stretching operation is carried out on the front end surface grid; The solution setting is carried out in the Fluent fluid simulation software: the material is selected as aviation kerosene, the 2.5D dynamic grid method is used to describe the grid updating, and finally a pressure field cloud picture in an engagement period is obtained, from the beginning of engagement to the end of engagement, with the continuous change of the engagement point position, the volume of the oil suction cavity and the oil pressure cavity changes, and then the pressure field gradually evolves, reflecting the transmission law of the pressure in the engagement process, and the node pressure of the gear pump fluid interface is extracted in the post-processing software, providing data for the subsequent fluid-solid interface data transmission.

3. The fluid-structure interaction method of claim 1, wherein, The step two is specifically: The test function is set as: ; wherein are the horizontal and vertical coordinates, respectively; Four global RBFs, Gauss, Inverse Quadratic (IQ), Thin-Plate Spline (TPS) and Multiquadric (MQ), are selected to analyze the interpolation performance. , , , ; wherein, r is the Euclidean distance, c is the shape parameter, the same shape parameter is selected, the interpolation results are compared with the exact solution of the solid domain nodes, the basis function with the minimum interpolation relative error is selected to carry out flow field reconstruction on the gear pump interface.

4. The fluid-structure interaction method of a fuel gear pump based on RBF reconstruction according to claim 1, wherein, The step three is specifically: A three-dimensional gear model is composed of a driving gear and a driven gear, the parameter data transmission of the fluid-solid interface under the condition of geometric mismatch and grid mismatch is carried out, and then the gear finite element strength simulation is carried out; The grid is further divided, and the structured layered grid is still adopted as a whole, and the division method is selected as "multi-region", and the gear front end surface is divided into full triangular grid; The gear pump interface flow field reconstruction and data transmission, through CFD simulation to obtain the pressure distribution field of the fluid domain gear interface, using post-processing software CFD-post to extract the unstructured pressure data set at the interface, which contains the three-dimensional coordinates of the fluid interface grid nodes and the corresponding pressure data of each node; Subsequently, for the problem of geometric mismatch and grid mismatch of the fluid-solid interface, RBF interpolation is applied to carry out high-precision flow field reconstruction. First, the grid node coordinate data of the gear solid interface is extracted, then the TPS function with the smallest transmission error in step two is selected as the basis function, and the gear pump fluid-solid interface data transmission program is written in Matlab. Through the establishment of the spatial mapping relationship between the fluid and solid interface, the pressure data of the non-matching grid nodes is interpolated and reconstructed. Then the reconstructed fluid pressure load is transmitted to the solid domain gear interface through the software interface, and the data is imported into the FEA model in the form of node load, and finally the fluid-solid load transmission of the gear pump interface is completed.

5. The fluid-structure interaction method of a fuel gear pump based on RBF reconstruction according to claim 1, wherein, The step four is specifically: The gear three-dimensional model and grid division result can be obtained from step three, then the finite element simulation solving setting is carried out, the contact method is set as friction, the friction coefficient is 0.1, the rotating speed is set as 8000 rpm, which is consistent with the CFD simulation, and the torque is set as 10 N·m, finally the equivalent stress and equivalent strain change cloud diagram in one meshing period is obtained; Except for the meshing point, there is also a large equivalent stress at the root and end face of the meshing tooth, and the change rule of equivalent strain is basically consistent with that of stress.

Images