Design and manufacturing method of carbon fiber reinforced PEEK gear

By constructing the model model and macro -coupling contact model of the material, optimize the fiber parameters, and use a specific processing method to solve the problem of insufficient carbon fiber to enhance the PEEK gear bearing capacity and abrasion resistance. The life of the gear.

CN119378148APending Publication Date: 2025-01-28NANJING FORESTRY UNIV
View PDF 0 Cites 1 Cited by

Patent Information

Application Number
CN202411416755.X
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2024-10-11
Publication Date
2025-01-28

AI Technical Summary

Technical Problem

The lack of efficient design and manufacturing methods in the prior art to improve the load-bearing capacity and wear resistance of continuous carbon fiber reinforced PEEK gears, resulting in problems of instability and large differences in their engineering applications.

Method used

By constructing the model model considering fiber-matrix coupling, the macro-coupling contact model of the gear is established to optimize parameters such as fiber type, surface density, thickness, layer angle, etc. ,制备高性能的CFF/PEEK齿轮。

Benefits of technology

The performance balance of the CFF/Peek gear is achieved, it improves its rigidity, strength, toughness, and anti -fatigue resistance, enhance the carrying capacity and abrasion resistance of the gear, and extend its service life.

✦ Generated by Eureka AI based on patent content.

Smart Images

  • Figure CN119378148A_ABST
    Figure CN119378148A_ABST
Patent Text Reader

Abstract

The invention discloses a design and manufacturing method of a high-bearing-capacity carbon fiber reinforced polyether-ether-ketone (PEEK) gear, and provides a machining method which can completely, accurately and efficiently analyze and evaluate the bearing performance of the carbon fiber reinforced PEEK gear and is used for the carbon fiber reinforced PEEK gear. The processing method comprises the following steps: S1, constructing a constitutive model of the carbon fiber reinforced PEEK laminated plate; s2, calculating the contact load of the carbon fiber reinforced PEEK gear; s3, carrying out parameter optimization design on the carbon fiber reinforced PEEK material; and S4, processing and manufacturing the carbon fiber reinforced PEEK gear. According to the method, the carbon fiber reinforced PEEK constitutive structure under the fiber-matrix effect can be constructed, the effect of parameters such as the fiber laying layer number, the layer thickness and the angle on the bearing contact performance of the gear is studied, optimization design can be conducted on material parameters, finally, gear machining is conducted according to ideal material structure parameters in the subsequent machining process, and the gear machining efficiency is improved. The gear contact bearing performance is further improved, and the service life of the gear is prolonged.
Need to check novelty before this filing date? Find Prior Art

Description

Technical Field

[0001] The invention relates to the technical field of gear transmission, and mainly to a design and manufacturing method of a carbon fiber reinforced PEEK gear. Background Art

[0002] After long-term development, the lightweight design space of metal gears has approached the material strength limit, and further lightweighting is extremely difficult. Compared with metal gears, engineering plastic gears are 70% lighter than metals, have 80% lower moment of inertia, and have the characteristics of low noise, self-lubrication, and corrosion resistance, becoming an effective means to further reduce the weight of the transmission system. Engineering plastic gear materials have successively gone through the development stages of polyoxymethylene (POM), nylon (PA66 and PA46), liquid crystal polymer (LCP), polyphenylene sulfide (PPS) to polyetheretherketone (PEEK). Among them, PEEK is increasingly widely used in aerospace, automobile, medical and other fields due to its excellent properties. Compared with metal gears, plastic gears have low contact strength and poor wear resistance. Load capacity and wear performance have become key issues restricting the application of PEEK gears. Fiber-reinforced design to improve the mechanical and tribological properties of gears is one of the main strengthening methods for plastic gears. Carbon fiber has the advantages of low density, high strength, high temperature resistance, and corrosion resistance, and is the most important reinforcement item in advanced fiber-reinforced materials. Carbon fiber reinforced PEEK specifically has short-cut, long-cut, and continuous carbon fiber forms. Compared with short-cut and long-cut carbon fiber reinforced PEEK, continuous carbon fiber reinforced PEEK (CFF / PEEK) has better material performance balance, stiffness, strength, toughness and fatigue resistance, and can effectively improve the load-bearing capacity of gears. However, due to the influence of fiber type, surface density, layer thickness, laying angle, etc., there are huge differences in the performance of CFF / PEEK under different conditions. At present, the lack of suitable carbon fiber reinforced PEEK gear optimization design and manufacturing methods has become a key issue restricting the engineering application of carbon fiber reinforced PEEK gears.

[0003] The prior art does not involve the high-load design and manufacture of continuous carbon fiber gears. Therefore, it is of great significance to develop a complete and efficient method for designing and manufacturing high-load fiber-reinforced gears. Summary of the invention

[0004] In view of the above problems, the present invention proposes a method for completely and efficiently designing material parameters of continuous carbon fiber reinforced PEEK gears and processing and manufacturing the gears.

[0005] The technical solution of the present invention is: a design and manufacturing method of a high-load carbon fiber reinforced polyetheretherketone gear (CFF / PEEK gear), which is processed according to the following steps:

[0006] S1. Construction of constitutive model of carbon fiber reinforced PEEK:

[0007] S1.1. The generalized Maxwell constitutive model based on parallel combination of units simulates the viscoelastic behavior of PEEK matrix material. The viscoelastic constitutive parameters of PEEK are obtained according to the time-temperature equivalence principle by using PEEK relaxation tests at different temperatures.

[0008] S1.2. Considering the role of linear elastic fibers, the overall response of the superposition of the viscoelastic response of the matrix and the elastic response of the fibers is obtained by linearly superimposing the deformation of the isotropic fiber material. Based on the calculation method of the equivalent elastic parameters of composite materials, corrections are made to obtain the relationship between the elastic modulus of the composite material in different directions and temperature and time.

[0009] S1.3. Using the ordering of stress and strain components of the composite material and the stiffness and flexibility matrices, a thermo-viscoelastic constitutive model of the CFF / PEEK laminate is established through the coordinate transformation relationship between the local coordinate system and the global coordinate system.

[0010] S1.4. Conduct tensile, compression and bending tests as well as finite element simulation to modify the CFF / PEEK thermoviscoelastic model parameters.

[0011] S2. Gear contact load calculation:

[0012] S2.1. Based on the thermo-viscoelastic constitutive model of CFF / PEEK, combined with the macro-geometry and kinematic analysis of involute gear transmission, the gear tooth load distribution is obtained using the deformation coordination condition, and the macro-meshing parameters such as gear contact stress, contact half-width, curvature radius, sliding and rolling speed at each meshing point are solved.

[0013] S2.2. Conduct research on the microscopic contact characteristics of the CFF / PEEK interface, and establish a mathematical model of the microscopic contact of the CFF / PEEK interface taking into account the thermoviscoelasticity through the energy equation, surface temperature equation, thermoviscoelastic constitutive equation, system equilibrium equation group and continuity equation group.

[0014] S2.3. Using the macroscopic meshing parameters and thermal environment boundary conditions, combined with the CFF / PEEK interface microscopic contact characteristics analysis model, a multi-physical field coupling interface mechanics system with pressure field, deformation field, friction field and temperature field as the main variables is formed, and a macro-micro multi-field coupling contact model of CFF / PEEK gears is established.

[0015] S3. Material parameter optimization design:

[0016] According to the material thermo-viscoelastic constitutive and contact analysis model, the effects of fiber type, surface density, layer thickness, ply angle, etc. on the contact stress on the meshing line are analyzed, and the optimization algorithm is used on the computer to optimize the material parameters and obtain the optimal material parameters;

[0017] S4, processing: according to the optimal material parameters obtained in step S3, the laminate is processed by powder impregnation method, slurry method, etc., and the CFF / PEEK gear is prepared by milling, etc.

[0018] In step S1, the carbon fiber reinforced PEEK method is to use a continuous carbon fiber weaving method to perform fiber laying, the carbon fiber materials include T300, T700, etc., and the laying angles include 45° stacking, 60° stacking, and 90° stacking, etc.

[0019] In step S3, a CF / PEEK composite laminate is prepared by vacuum hot pressing, and a CFF / PEEK gear is further prepared by hobbing, milling, etc.

[0020] The advantages of the present invention are: by constructing a material constitutive model that considers fiber-matrix coupling, the contact characteristics of the gear under macro-micro coupling are obtained, a material parameter optimization method for improving the gear load capacity and wear resistance is developed, the optimal fiber type, surface density, layer thickness, layer angle and other parameters are determined, and the gear is prepared by powder impregnation method, mud method, etc. Compared with short-cut and long-cut carbon fiber reinforced PEEK gears, the continuous carbon fiber reinforced PEEK gear of the present invention has higher performance balance, stiffness, strength, toughness and fatigue resistance. Compared with other methods, the present invention can clarify the effect of material parameters on the contact performance of the gear, and then through parameter optimization, the gear load capacity and wear resistance are enhanced, the load capacity is improved, and the life is extended or lightweight is achieved, and the actual service life of the gear is extended. BRIEF DESCRIPTION OF THE DRAWINGS

[0021] Figure 1 It is the design process of carbon fiber reinforced PEEK gear in the present invention;

[0022] Figure 2 It is a schematic diagram of the process of constructing the thermo-viscoelastic constitutive model of carbon fiber reinforced PEEK material in the present invention;

[0023] Figure 3 It is a schematic diagram of the process of constructing the macro-micro coupling contact model of carbon fiber reinforced PEEK gears in the present invention. DETAILED DESCRIPTION

[0024] In order to clearly illustrate the technical features of this application, this patent is elaborated in detail below through a specific implementation method and in combination with its drawings.

[0025] Example 1: A design and manufacturing method for a high-load carbon fiber reinforced polyetheretherketone gear (CFF / PEEK gear), which is processed according to the following steps:

[0026] S1. Construction of carbon fiber reinforced PEEK constitutive model. The construction process diagram is shown in Figure 1 As shown, the details are as follows:

[0027] S1.1. The generalized Maxwell constitutive model based on parallel combination of units simulates the viscoelastic behavior of PEEK matrix material. The PEEK relaxation test at different temperatures is used to obtain the main curve of the viscoelastic relaxation modulus of PEEK according to the time-temperature equivalence principle. The relaxation modulus expression is:

[0028]

[0029] Where E0 is the modulus of the equilibrium branch in the model; E p is the elastic element modulus in the non-equilibrium branch; t is time; τ p is the relaxation time of each non-equilibrium branch,

[0030] Under the action of constant strain ε0, the time-varying stress response ε(t) of the model is:

[0031]

[0032] S1.2. Considering the effect of linear elastic fibers, the overall response of the superposition of the viscoelastic response of the matrix and the elastic response of the fibers is obtained by linearly superimposing the deformation of the isotropic fiber materials. Based on the calculation method of the equivalent elastic parameters of composite materials, corrections are made to obtain the relationship between the elastic modulus of the composite materials in different directions and the temperature and time.

[0033] S1.3. Using the order of stress and strain components of the composite material and the stiffness and flexibility matrices, the thermo-viscoelastic constitutive model of the CFF / PEEK laminate is established through the coordinate transformation relationship between the local coordinate system and the global coordinate system.

[0034] S1.4. Use finite element method to perform relaxation simulation and modify the CFF / PEEK thermoviscoelastic model parameters.

[0035] S2. Calculation of contact load of carbon fiber reinforced PEEK gears. Schematic diagram of the construction process of macro-micro coupling contact model. Figure 2 As shown, the details are as follows:

[0036] S2.1. Based on the thermo-viscoelastic constitutive model of CFF / PEEK, combined with the macro-geometry and kinematic analysis of involute gear transmission, the gear tooth load distribution is obtained using the deformation coordination condition, and the macro-meshing parameters such as gear contact stress, contact half-width, curvature radius, sliding and rolling speed at each meshing point are solved.

[0037] Step S2.1 is as follows: first, a three-dimensional model of the CFF / PEEK gear pair is established, and the load and deformation of a single gear tooth under no-load and load conditions are simulated using finite element software to obtain the stiffness of a single gear tooth; secondly, considering the overlap, the deformation coordination condition is used to obtain the deformation distribution of the double-tooth meshing area, such as Figure 3As shown, the load distribution coefficient is obtained, and then the contact stress, contact half-width and other parameters are obtained; finally, the deformation of the double-tooth meshing area under load conditions is simulated by finite element method to verify the validity of the theoretical model.

[0038] In step S2.1, the radius of curvature and the sliding speed of the CFF / PEEK gear pair are calculated using the following formula:

[0039]

[0040] Where R1 and R2 are the curvature radii of the driving wheel and the driven wheel respectively; R is the comprehensive curvature radius; s is the distance between the current meshing point and the node; δ A1 and δ A2 It is the deformation in the direction perpendicular to the meshing line.

[0041] The speed at the meshing point between the driving wheel and the driven wheel is:

[0042]

[0043] Where U is the entrainment velocity and S is the slide-to-roll ratio.

[0044] S2.2. Conduct research on the microscopic contact characteristics of the CFF / PEEK interface, and establish a mathematical model of the microscopic contact of the CFF / PEEK interface taking into account the thermoviscoelasticity through the energy equation, surface temperature equation, thermoviscoelastic constitutive equation, system equilibrium equation group and continuity equation group.

[0045] In step 2.2, during the gear meshing process, the main heat source is the friction heat between the meshing tooth surfaces, and its heat balance equation is:

[0046]

[0047] In the formula, [K t ] is the temperature stiffness matrix; {T t} is the node temperature vector; {Q t} is the generalized node heat flow vector; is the unknown generalized nodal heat flux vector at the contact node. Substituting the boundary conditions, we can solve {T t} and {Q t}.

[0048] Due to the different gear materials, thermal conductivity and boundary thermal resistance, the heat input to the driving and driven gears is different, that is, the friction heat flow is not evenly distributed between the driving gear and the driven gear. Therefore, the heat distribution coefficient γ is introduced to indicate the heat distribution relationship between the driving and driven gears. The heat input to the driving and driven gears q1 and q2 are:

[0049]

[0050] The heat distribution coefficient γ is:

[0051]

[0052] Where k1 and k2 are the thermal conductivity of the pinion and gear materials; ρ1 and ρ2 are the densities of the pinion and gear materials; c1 and c2 are the specific heat capacities of the pinion and gear materials; v S1 、v S2 is the tangential velocity of the pinion and gear teeth on the contact surface.

[0053] Therefore, the heat generated by the meshing tooth surfaces of the driving and driven gears per unit time are Q1 and Q2 respectively:

[0054]

[0055] Where b is the half-width of the contact zone at the meshing point S.

[0056] In step 2.2, the pressure is controlled by the Reynonlds equation under lubrication consideration:

[0057]

[0058] The pressure in the dry contact area is solved as follows:

[0059]

[0060] Where x is the direction of motion, u is the entrainment velocity, η is the lubricant viscosity, ρ is the lubricant density, t is the time variable, p and h are the pressure and film thickness in the calculation area, and the film thickness cutoff value for dry contact is ε h =10 –6 ,

[0061] The oil film thickness equation can be expressed as follows:

[0062]

[0063] Where h0(t) is the normal spacing between the rigid bodies, R(t) is the effective radius of curvature over the contact width (representing the macroscopic contact geometry), and δ1 and δ2 represent the roughness amplitudes of surfaces 1 and 2, respectively.

[0064] The viscosity-pressure relationship and density-pressure relationship of lubricating oil are as follows:

[0065]

[0066] Where τ0 is the reference shear stress of the Ree-Eyring fluid, τ is the shear stress acting on the lower surface, and η represents the limiting viscosity at low shear rates.

[0067] In the calculation, the stable solution of film pressure and film thickness on the smooth surface is first obtained according to the contact parameters of the helical gear. Then, the height data of the rough surface is substituted into the film thickness equation, and the film thickness and pressure on the rough surface are calculated based on the deterministic line contact hybrid EHL model.

[0068] S2.3. Using the macroscopic meshing parameters and thermal environment boundary conditions, the distribution of contact load, speed, load distribution coefficient, etc. along the meshing is calculated. Combined with the CFF / PEEK interface microscopic contact characteristic analysis model, a macro-micro multi-field coupling contact model of CFF / PEEK gears is established. Multiple intervals are equally divided along the meshing line, and the contact width, contact stress, and contact deformation at each meshing point are calculated.

[0069] S2.3. Use finite element software to establish a gear pair model with the same parameters, perform contact characteristic analysis under the same operating parameters, obtain the distribution of contact stress and deformation along the meshing line, compare the differences between theoretical calculation results and finite element analysis, and further correct the results by adjusting material parameters.

[0070] S3. Material parameter optimization design:

[0071] According to the material thermo-viscoelastic constitutive and contact analysis model, combined with the material fatigue limit obtained in S1.4, the single factor method is used to analyze the influence of fiber type, surface density, layer thickness, layer angle, etc. on the contact stress on the meshing line, and the fatigue life is calculated. The response surface optimization algorithm is used on the computer to optimize the material parameters and obtain the optimal material parameters of high-load and long-life CFF / PEEK gears;

[0072] In step S3, the carbon fiber reinforced PEEK method is to use a continuous carbon fiber weaving method to perform fiber laying, the carbon fiber materials include T300, T700, etc., and the laying angles include 45° stacking, 60° stacking, and 90° stacking, etc.

[0073] In step S3, firstly, single factor analysis is performed on fiber type, surface density, layer thickness, ply angle, etc. to study the influence of structural parameters on contact performance and obtain the optimal combination of single factors; secondly, orthogonal analysis and other methods are used to study the sensitivity of material parameters to tooth surface contact performance under different loads of gear pairs and the optimal parameter combination. Finally, the multi-factor collaborative optimization method is used to obtain the optimal combination suitable for a wide range of working conditions in the multi-factor analysis.

[0074] S4, Processing, Carbon Fiber Reinforced PEEK Gear Manufacturing Process Figure 3 As shown, the details are as follows:

[0075] According to the optimal material parameters obtained in step S3, the laminate is processed by powder impregnation method, slurry method, etc., and the CFF / PEEK gear is prepared by milling, etc. The CF / PEEK composite laminate is prepared by vacuum hot pressing, and the CFF / PEEK gear is further prepared by hobbing, milling, etc.

[0076] In this way, the ideal material parameters can be inferred through the carbon fiber reinforced PEEK gear design and manufacturing method recorded in this case, so that the carbon fiber reinforced PEEK gear can be processed according to the ideal material parameters during subsequent processing, in order to effectively improve the tooth surface load-bearing capacity during the use of the gear and extend the actual service life of the gear.

[0077] There are many specific implementation ways of the present invention. The above is only the preferred implementation mode of the present invention. It should be pointed out that for ordinary technicians in this technical field, several improvements can be made without departing from the principle of the present invention. These improvements should also be regarded as the protection scope of the present invention.

Claims

1. A design and manufacturing method for a high-load carbon fiber reinforced polyetheretherketone gear, characterized in that: Follow these steps to process: S1. Construction of constitutive model of carbon fiber reinforced PEEK. S1.

1. The generalized Maxwell constitutive model based on parallel combination of units simulates the viscoelastic behavior of PEEK matrix material. The viscoelastic constitutive parameters of PEEK are obtained according to the time-temperature equivalence principle by using PEEK relaxation tests at different temperatures. S1.

2. Considering the effect of linear elastic fibers, the overall response of the superposition of the viscoelastic response of the matrix and the elastic response of the fibers is obtained by linearly superimposing the deformation of the isotropic fiber materials. Based on the calculation method of the equivalent elastic parameters of composite materials, corrections are made to obtain the relationship between the elastic modulus of the composite materials in different directions and the temperature and time. S1.

3. Using the order of stress and strain components of composite materials and the stiffness and flexibility matrices, the coordinate transformation angle α is introduced through the coordinate transformation relationship between the local coordinate system and the global coordinate system. The stress and strain transformation formula under the two coordinates is obtained through the relationship between the transformation angle and the direction angle of the single-layer composite material. The thermo-viscoelastic constitutive model of CFF / PEEK laminate is formed based on the stress-strain relationship. S1.

4. Conduct tensile, compression and bending tests and finite element simulation, carry out fatigue life tests on CFF / PEEK materials, obtain fatigue limit stress, and correct the fiber transverse elastic modulus, longitudinal elastic modulus, PEEK material time-temperature conversion factor, and material viscosity parameters in the CFF / PEEK thermoviscoelastic model parameters. S2. Gear contact load calculation, S2.

1. Based on the CFF / PEEK thermoviscoelastic constitutive model, combined with the macroscopic geometry and kinematic analysis of involute gear transmission, the gear tooth load distribution is obtained using the deformation coordination condition, and the macroscopic meshing parameters such as gear contact stress, contact half-width, curvature radius, sliding and rolling speed at each meshing point are solved. S2.

2. Conduct research on the microscopic contact characteristics of the CFF / PEEK interface, and establish a mathematical model of the microscopic contact of the CFF / PEEK interface taking into account the thermoviscoelasticity through the energy equation, surface temperature equation, thermoviscoelastic constitutive equation, system equilibrium equation group and continuity equation group. S2.

3. Using macroscopic meshing parameters and thermal environment boundary conditions, combined with the CFF / PEEK interface microscopic contact characteristic analysis model, a multi-physics field coupling interface mechanics system with pressure field, deformation field, friction field and temperature field as the main variables is formed, and a macro-microscopic multi-field coupling contact model of CFF / PEEK gears is established. S3. Material parameter optimization design, According to the material thermo-viscoelastic constitutive and contact analysis model, combined with the material fatigue limit obtained in S1.4, the single factor method is used to analyze the influence of fiber type, surface density, layer thickness, and ply angle on the contact stress on the meshing line, and the fatigue life is calculated. The response surface optimization algorithm is used on the computer to optimize the material parameters and obtain the optimal material parameters of high-load and long-life CFF / PEEK gears; S4, processing: according to the optimal material parameters obtained in step S3, the laminate is processed by a powder impregnation method, a slurry method, etc., and a CFF / PEEK gear is prepared by a gear processing machine tool.

2. The design and manufacturing method of high-load carbon fiber reinforced polyetheretherketone gear according to claim 1 is characterized in that: In step S1.1, the PEEK relaxation test at different temperatures is used to obtain the main curve of the viscoelastic relaxation modulus of PEEK according to the time-temperature equivalence principle. The relaxation modulus expression is: Where E0 is the modulus of the equilibrium branch in the model; E p is the modulus of the elastic element in the non-equilibrium branch; t is time; τ p is the relaxation time of each non-equilibrium branch, Under the action of constant strain ε0, the time-varying stress response ε(t) of the model is:

3. The design and manufacturing method of high-load carbon fiber reinforced polyetheretherketone gear according to claim 1 is characterized in that: Step S2.1 is as follows: first, a three-dimensional model of the CFF / PEEK gear pair is established, and the load and deformation of a single gear tooth under no-load and load conditions are simulated using finite element software to obtain the stiffness of a single gear tooth; secondly, considering the overlap, the deformation coordination condition is used to obtain the deformation distribution of the double-tooth meshing area, and the load distribution coefficient is obtained, and then the contact stress and contact half-width parameters are obtained; finally, the finite element simulation is used to simulate the deformation of the double-tooth meshing area under load conditions to verify the validity of the theoretical model. In step S2.1, the radius of curvature and the sliding speed of the CFF / PEEK gear pair are calculated using the following formula: Where R1 and R2 are the curvature radii of the driving wheel and the driven wheel respectively; R is the comprehensive curvature radius; s is the distance between the current meshing point and the node; δ A1 and δ A2 is the deformation in the direction perpendicular to the meshing line, The speed at the meshing point between the driving wheel and the driven wheel is: U(t)=(U1(t)+U2(t)) / 2 (6) Where U is the entrainment velocity and S is the slide-to-roll ratio.

4. The design and manufacturing method of high-load carbon fiber reinforced polyetheretherketone gear according to claim 1 is characterized in that: In step 2.2, during the gear meshing process, the main heat source is the friction heat between the meshing tooth surfaces, and its heat balance equation is: In the formula, [K t ] is the temperature stiffness matrix; {T t } is the node temperature vector; {Q t } is the generalized node heat flow vector; is the unknown generalized nodal heat flux vector on the contact node. Substituting the boundary conditions, we can solve {T t } and {Q t }, Due to the different gear materials, thermal conductivity and boundary thermal resistance, the heat input to the driving and driven gears is also different, that is, the friction heat flow is not evenly distributed between the driving gear and the driven gear. Therefore, the heat distribution coefficient γ is introduced to indicate the heat distribution relationship between the driving and driven gears. The heat input to the driving and driven gears q1 and q2 are: The heat distribution coefficient γ is: Where k1 and k2 are the thermal conductivity of the pinion and gear materials; ρ1 and ρ2 are the densities of the pinion and gear materials; c1 and c2 are the specific heat capacities of the pinion and gear materials; v S1 、v S2 is the tangential velocity of the pinion and gear teeth on the contact surface, Therefore, the heat generated by the meshing tooth surfaces of the driving and driven gears per unit time are Q1 and Q2 respectively: Where b is the half width of the contact zone at the meshing point S, In step 2.2, the pressure is controlled by the Reynonlds equation under lubrication consideration: The pressure in the dry contact area is solved as follows: Where x is the direction of motion, u is the entrainment velocity, η is the lubricant viscosity, ρ is the lubricant density, t is the time variable, p and h are the pressure and film thickness in the calculation area, and the film thickness cutoff value for dry contact is ε h =10 –6 , The oil film thickness equation is expressed as follows: Where h0(t) is the normal spacing between rigid bodies, R(t) is the effective radius of curvature over the contact width (representing the macroscopic contact geometry), δ1 and δ2 represent the roughness amplitudes of surfaces 1 and 2, respectively. The viscosity-pressure relationship and density-pressure relationship of lubricating oil are as follows: Where τ0 is the reference shear stress of the Ree-Eyring fluid, τ is the shear stress acting on the lower surface, represents the limiting viscosity at low shear rate, In the calculation, the stable solutions of the film pressure and film thickness on the smooth surface are first obtained according to the contact parameters of the helical gear. Then, the height data of the rough surface is substituted into the film thickness equation, and the film thickness h and pressure p on the rough surface are calculated based on the deterministic line contact hybrid EHL model.

5. The method for designing and manufacturing a carbon fiber reinforced polyetheretherketone gear according to claim 1, characterized in that: In step S1, the carbon fiber reinforced PEEK method is to use a continuous carbon fiber weaving method to perform fiber laying, the carbon fiber materials include T300, T700, and the laying angles include 45° stacking, 60° stacking and 90° stacking.

6. A carbon fiber reinforced polyetheretherketone gear design and manufacturing method according to claim 1, characterized in that: In step S3, a CF / PEEK composite laminate is prepared by vacuum hot pressing, and a CFF / PEEK gear is prepared by hobbing, milling, etc.

Citation Information

Cited By

  • Composite material mechanical property prediction method based on data mining

    CN121565323A