Internal meshing powerful gear honing tooth surface temperature field calculation method based on superposition point heat source

Abstract

The invention discloses an internal meshing powerful gear honing tooth surface temperature field calculation method based on a superposition point heat source, and belongs to the technical field of gear machining and manufacturing. Comprising the steps of constructing a tooth surface equation and a honing machining coordinate system, calculating a relative speed vector between a gear and a honing wheel in the honing machining process, determining a tooth surface contact point based on the meshing principle according to the relative speed vector between the gear and the honing wheel, calculating the heat flux density at the tooth surface contact point, and obtaining a continuous tooth surface contact line heat source based on the heat flux density. On the basis of the point heat source superposition principle, contact point heat sources of the whole tooth surface are superposed, and the temperature rise generated by the whole tooth surface to a target point in the honing machining process is calculated. According to the method, the dynamic gear honing machining process is accurately simulated, the problem that a traditional temperature field method is not applicable is solved, through high-precision calculation, gear surface burning can be effectively prevented, the technology is optimized, residual stress is predicted, a key tool is provided for improving gear quality, and the method is efficient in calculation and convenient for engineering application.

Description

TECHNICAL FIELD

[0001] The present application relates to the field of gear manufacturing technology, in particular to an internal meshing strong force gear honing tooth surface temperature field calculation method based on superimposed point heat source. BACKGROUND

[0002] As a key component of power transmission, gears play an irreplaceable role in the fields of new energy vehicles, aerospace and robots. In the gear transmission system, gears with linear speed greater than 25 m / s or rotational speed exceeding 3600 r / min are defined as high-speed gears. Internal meshing strong force gear honing is a new high-speed gear manufacturing process, which produces unique herringbone texture on the tooth surface through its unique machining mechanism, effectively reducing noise. Compared with traditional gear grinding, honing has the advantages of high machining efficiency, no tooth surface burn, etc., making it widely used in the reducer of new energy vehicles. The honing temperature field is a key factor for calculating high-performance tooth surface parameters such as residual stress, and can also ensure whether there is a burn on the tooth surface. However, compared with the grinding process, the contact length in the honing process changes constantly, and the sliding speed along the contact line changes. This causes the traditional tooth surface temperature field calculation method to be not completely applicable to the gear honing process.

[0003] In view of the above problems, an internal meshing strong force gear honing tooth surface temperature field calculation method based on superimposed point heat source is needed to solve the above problems existing in the traditional method. SUMMARY

[0004] The purpose of the present application is to provide an internal meshing strong force gear honing tooth surface temperature field calculation method based on superimposed point heat source, which accurately simulates the dynamically changing contact and sliding process in gear honing, solves the problem that the traditional method is not applicable to this process through the superposition of discrete point heat sources and the triangular distribution model. It realizes high-precision calculation of the tooth surface temperature field, provides a key theoretical tool for effectively preventing tooth surface burn, optimizing process parameters and predicting residual stress, and is efficient in calculation, convenient for engineering integrated application.

[0005] To achieve the above purpose, the technical scheme adopted by the present application is as follows: The internal meshing strong force gear honing tooth surface temperature field calculation method based on superimposed point heat source comprises: Step 1: build the tooth surface equation and the honing machining coordinate system, and calculate the relative velocity vector between the gear and the honing wheel in the honing machining process; Step 2: determine the tooth surface contact point based on the relative velocity vector between the gear and the honing wheel according to the meshing principle; Step 3: calculate the heat flux density at the tooth surface contact point, and obtain the continuous tooth surface contact line heat source based on it; Step 4: Based on the principle of point heat source superposition, the entire tooth surface contact point heat source is superimposed to calculate the temperature rise of the entire tooth surface to the target point during the honing process.

[0006] Further, in step 1, the tooth surface equation and the honing machining coordinate system are constructed, and the relative velocity vector between the gear and the honing wheel during the honing process is calculated, specifically: Step 101: Based on the involute formation mechanism, the coordinates of each point on the gear tooth surface and the normal vector of the standard involute tooth surface are determined, and the standard involute gear tooth surface equation is established; Step 102: Based on the honing machining motion, a honing machining motion coordinate system is constructed; Step 103: Based on the standard involute gear tooth surface equation and the honing machining motion coordinate system, the relative velocity vector between the gear and the honing wheel during the honing process is calculated.

[0007] Further, the honing machining motion includes honing wheel rotation, workpiece shaft rotation, honing wheel radial feed, and honing wheel axial feed.

[0008] Further, in step 2, based on the meshing principle, the tooth surface contact point is determined according to the relative velocity vector between the gear and the honing wheel, specifically: Step 201: Through coordinate transformation, the normal vector of the honing wheel in the coordinate system is obtained, and the meshing equation, i.e. the meshing condition, of the gear and the honing wheel is calculated based on the normal vector and the relative velocity vector between the gear and the honing wheel; Step 202: Based on the meshing condition, the tooth surface contact line during the honing process is calculated; Step 203: The tooth surface contact line is discretized into stage points, and the point coordinates of the tooth surface contact points are calculated.

[0009] Further, in step 202, the tooth surface contact line during the honing process is calculated based on the meshing condition, specifically: The meshing angle is calculated based on the meshing condition, and the maximum and minimum values of the meshing angle are extracted; The meshing angle corresponding to a certain contact line is calculated based on the maximum and minimum values of the meshing angle; The meshing angle corresponding to each contact line is obtained, and the equation of the contact line is constructed based on it.

[0010] Further, in step 3, the heat flux density at the tooth surface contact point is calculated, and based on it, the continuous tooth surface contact line heat source is obtained, specifically: Step 301: Calculate the heat flux density at the tooth surface contact point; Step 302: Based on the triangular heat source model, the discrete tooth surface contact point heat source is converted into a continuous tooth surface contact line heat source according to the heat flux density at each tooth surface contact point.

[0011] Further, in step 301, the heat flux density at the tooth contact point is calculated, specifically: Under the condition of non-dry honing, the total heat generated by honing is calculated; An empirical force model of the internal meshing strong force gear honing process is constructed; The energy flowing into the wear debris is equal to the heat required to make it reach the molten state, and the calculation is carried out; The heat ratio flowing into the gear and the honing wheel is calculated; The total heat generated by honing, the empirical force model, the energy flowing into the wear debris, and the heat ratio flowing into the gear and the honing wheel are combined to obtain the heat flux density at the tooth contact point.

[0012] Further, in step 4, based on the point heat source superposition principle, the entire tooth contact point heat source is superimposed, and the temperature rise of the entire tooth surface to the target point in the gear cutting process is calculated, specifically: Step 401: Based on the instantaneous point heat source theory, the temperature rise of a tooth contact point heat source at any point is calculated; Step 402: Based on the temperature rise calculation method of a tooth contact point heat source at any point, the temperature rise of a tooth contact line heat source at any point in the gear cutting process is calculated; Step 403: Based on the temperature rise calculation method of a tooth contact line heat source at any point, the temperature rise of the entire tooth surface at any point in the gear cutting process is calculated.

[0013] In summary, the present application includes at least one of the following beneficial technical effects: 1. The present application realizes the accurate simulation of the dynamic change process of the contact length and sliding speed in gear cutting, and solves the problem that the traditional continuous heat source model is not suitable for strong force gear honing process.

[0014] 2. The present application is based on the point heat source superposition principle and the instantaneous point heat source theory, realizes the high-precision calculation of the temperature rise of any target point on the tooth surface, and significantly improves the accuracy of temperature field prediction through point-by-point superposition and multiple meshing cycles.

[0015] 3. The present application provides an effective theoretical tool and early warning basis for preventing gear tooth surface burn, and through real-time calculation of temperature distribution, it can identify the overheating risk area, so as to guide the optimization of process parameters and actively avoid processing defects.

[0016] 5. The present application realizes the calculation efficiency superior to the traditional finite element method while ensuring the calculation accuracy, and is more suitable for rapid analysis and online process debugging in engineering field. BRIEF DESCRIPTION OF DRAWINGS

[0017] Figure 1 It is a standard involute tooth surface diagram; Figure 2 Fig. 1 is a schematic diagram for establishing a coordinate system of a honing processing movement; Figure 3 Fig. 2 is a schematic diagram for relative movement of tooth surfaces; Figure 4 Fig. 3 is a schematic diagram for tooth surface contact line and contact point; Figure 5 Fig. 4 is a schematic diagram for tooth surface discrete point heat source; Figure 6 Fig. 5 is a schematic diagram for a method based on superimposed point heat source; Figure 7 Fig. 6 is a schematic diagram for temperature calculation of an instantaneous point heat source; Figure 8 Fig. 7 is a schematic diagram for temperature field calculation of a tooth surface heat source; Figure 9 Fig. 8 is a schematic diagram for an internal meshing strong force gear honing machine tool; Figure 10 Fig. 9 is a schematic diagram for a method flow of the present application. DETAILED DESCRIPTION

[0018] In order to make the objects, technical solutions and advantages of the present application clearer, the present application is further described in detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are only used to explain the present application and do not limit the present application. In addition, the technical features involved in each embodiment of the present application described below can be combined with each other as long as they do not conflict with each other.

[0019] As shown in Figure 10 , the present application provides a method for calculating the temperature field of the tooth surface of an internal meshing strong force gear honing based on superimposed point heat source, comprising: Step 1: constructing a tooth surface equation and a honing processing coordinate system, and calculating the relative velocity vector between the gear and the honing wheel during the honing processing; Step 2: determining the tooth surface contact point based on the relative velocity vector between the gear and the honing wheel according to the meshing principle; Step 3: calculating the heat flux density at the tooth surface contact point, and obtaining a continuous tooth surface contact line heat source based thereon; Step 4: based on the point heat source superposition principle, superimposing the entire tooth surface contact point heat source, and calculating the temperature rise of the entire tooth surface to the target point during the honing processing.

[0020] In step 1, the tooth surface equation and the honing processing coordinate system are constructed, and the relative velocity vector between the gear and the honing wheel during the honing processing is calculated, specifically as follows: As shown in Figure 1 , step 101: determining the coordinates of each point on the gear tooth surface and the normal vector of the standard involute tooth surface based on the involute formation mechanism, establishing a standard involute gear tooth surface equation, specifically as follows: The coordinates of each point on the gear tooth surface are determined based on the involute forming mechanism as follows: (1) In the formula, R represents the base circle radius; r b R represents the base circle radius; u and θ respectively represent the involute development angle and the spiral increment angle, the value ranges of which can be determined by formula (2), and the variable p represents the lead of the standard gear, wherein p = r b / tan β g , β g represents the spiral angle; (2) wherein, r f and r a respectively represent the dedendum circle radius and the addendum circle radius of the standard gear, and b represents the tooth width; The normal vector of the standard involute tooth surface n g is calculated as follows: (3) Step 102: constructing a honing machining motion coordinate system based on the honing machining motion, specifically: As shown in Figure 2 , according to each motion during the internal meshing force honing gear machining including the honing wheel rotation, the workpiece shaft rotation, the honing wheel radial feed, and the honing wheel axial feed, an internal meshing force honing gear honing machining coordinate system is constructed, and the coordinate systems Oh-xh-yh-zh and Og-xg-yg-zg are respectively fixed on the honing wheel and the workpiece gear, O1-x1-y1-z1 , O2-x2-y2-z2 , O3-x3-y3-z3 is an auxiliary coordinate system, wherein φ g and φ h are respectively the rotation angles of the gear and the honing wheel, a gh is the center distance, ∑ hg is the intersection axis angle; Step 103: calculating the relative velocity vector between the gear and the honing wheel during the honing machining process based on the standard involute gear tooth surface equation and the honing machining motion coordinate system, specifically: The coordinate system S1 is a reference coordinate system (see Figure 2 ), and the position vector of the point M is relative to O1r O1 , the relative velocity at point M can be expressed as: r O2 , the relative velocity at point M can be expressed as: (4) where, ω g and ω h are the angular velocity vectors of the gear and the honing wheel in the coordinate system S 1, r O1 and r O2 are the position vectors of point M in the coordinate systems S 1 and S 2, respectively, and the parameters are calculated as shown below: (5) (6) (7) (8) where, w 1 and w 2 are the angular velocities of the gear and the honing wheel in the coordinate systems S 1 and S 2, respectively; The relative velocity at point M is obtained by solving the above equations, and the analytical expression is: (9) Given its parameters ( μ , θ , φ g ), the relative velocity of any tooth surface point can be uniquely determined, as shown in Figure 3 The magnitude and direction of the relative sliding velocity vary greatly at different points on the tooth surface.

[0021] In step 2, the tooth surface contact point is determined based on the meshing principle according to the relative velocity vector between the gear and the honing wheel, specifically: Step 201: Through coordinate transformation, the normal vector of the honing wheel in the coordinate system is obtained, and the meshing equation, i.e., the meshing condition, of the gear and the honing wheel is calculated based on the normal vector and the relative velocity vector between the gear and the honing wheel, specifically: Through coordinate transformation, the position vector S h and the normal vector r h of the honing wheel in the coordinate system n h are: (10) (11) wherein, L hg denotes a homogeneous transformation matrix, M hg the upper left (3x3) sub-matrix of which controls the spatial relationship between the gear and the honing wheel, M hg is calculated as follows: (12) wherein, φ g and φ h are the rotation angles of the gear and the honing wheel, respectively, φ g N h φ h / N g , N h and N g are the number of teeth of the honing wheel and the gear, respectively, a hg is the center distance, ∑ hg is the shaft intersection angle; According to the meshing principle, the meshing equation of the gear and the honing wheel is: (13) wherein, n h is the normal vector of a point on the tooth surface of the honing wheel, v gh is the relative velocity vector between the gear and the honing wheel; Step 202: calculating the tooth surface contact line of the honing process based on the meshing condition, specifically: In the force honing process, the initial and final contact points between the honing wheel and the gear are located at the top points of the tooth surface (see points A, B, C, D in Figure 4 For points A and B, μ is the minimum value in formula (2), θ are equal to 0 and b / p respectively, and similarly for points C and D, μ is the maximum value in equation 2, and θ are equal to 0 and b / p respectively; ​By using points A, B, C, and D μ and θ Substituting into the equation, we can obtain the meshing angle ( φ g Then extract the maximum and minimum values ​​from the calculation results. φ g-max and φ g-min ), the meshing angle corresponding to the i-th contact line ( φ g-i )for: (14) To obtain the corresponding engagement angle for each contact line ( φ gi After that, the equation of the contact line can be expressed as: (15) in, φ gi , ∑ hg and a gh It is a known quantity; Step 203: Discretize the tooth surface contact line into stage points and calculate the coordinates of the tooth surface contact points, specifically: By parameters μ Substituting into the equation, the parameters can be calculated. θ , No. j Parameters corresponding to each grid point μ j for: (16) in, n Indicates the meshing angle is φ gi The number of meshing points at different meshing angles is important to note, as the number of meshing points may vary depending on the meshing angle. This is because some points may extend beyond the surface of the gear, and these points will be removed. By simultaneously solving the above equations, the three-dimensional coordinates of all contact points corresponding to each contact line can be calculated. x g-（i，j） , y g-（i，j） , z g-（i，j） A schematic diagram of the contact line and engagement point is shown below. Figure 4 As shown.

[0022] In step 3, the heat flux density at the tooth surface contact point is calculated, and a continuous tooth surface contact line heat source is obtained based on it. Specifically: Step 301: Calculate the heat flux density at the tooth surface contact point, specifically: The total heat generated by honing under non-dry honing conditions is: (17) where, F t is the tangential honing force, b c is the instantaneous contact width (grit diameter), l is the instantaneous contact length, Q h is the heat entering the honing wheel, Q g is the heat flowing into the gear, Q c is the heat carried away by the chip, Q f is the heat carried away by the cooling medium; The empirical force model for the process of internal meshing force-honing is as follows: (18) where, a 1 and a 2 are empirically determined, v ft is the feed speed, f r is the feed amount, d eq is the equivalent grinding wheel diameter, l is the instantaneous contact length, which is calculated as follows: (19) (20) where, d g is the diameter of the gear, d h is the diameter of the honing wheel; The energy flowing into the worn debris is approximately equal to the heat required to bring it to a molten state, which is calculated as follows: (21) where, ρ g is the density of the gear, c g is the heat capacity of the gear, T mp is the melting temperature of the gear material, a p is the depth of cut; When the grinding fluid in the grinding zone reaches the boiling point, vaporization occurs between the grinding fluid and the gear surface, forming an insulating layer, which greatly reduces the heat transfer between the grinding fluid and the gear surface. Therefore, assuming that the heat flux transferred to the grinding fluid is zero, it can be expressed as Q f =0; Heat flow into the gear and honing wheel R gh The thermal ratio of (22) where, k grain is the thermal conductivity of the abrasive particles, k g is the heat transfer coefficient of the gear; According to the above theoretical formula, the discrete point heat source of the honed gear surface is obtained, as shown in Figure 5 ; Step 302: Based on the triangular heat source model, the discrete gear surface contact point heat source is converted into a continuous gear surface contact line heat source according to the heat flux at each gear surface contact point, specifically: As shown in Figure 6 , for a certain contact line (where i is fixed), its discrete points represent individual abrasive particles in contact with the gear surface, in order to evaluate the thermal effect of the entire contact line on the target point, the effect caused by each abrasive particle must be superimposed, however, since the contact points are discrete, the abrasive particles are not continuously distributed, in order to solve this problem, a triangular heat source model is used to represent the heat generated by each grain, which approximates a small segment of the contact line, this model is chosen because it is very consistent with the actual heat flux distribution in the machining process, using this method, the original discrete heat source along the contact line is converted into a continuous heat source.

[0023] In step 4, based on the point heat source superposition principle, the entire gear surface contact point heat source is superimposed to calculate the temperature rise of the entire gear surface on the target point during the honing process, specifically: As shown in Figure 7 , consider a point heat source located at the origin of the coordinate system in an infinite domain, at the initial time ( t 0 ), the temperature is uniformly at room temperature ( T 0 ), the point heat source releases a certain amount of heat instantaneously and stops heating immediately, according to heat transfer theory, the temperature rise of any point on the gear surface is given by: (23) where, α is the thermal diffusivity of the conductive medium, t is the time after the heat source is heated instantaneously, Ris the distance between the target point and the point on the surface; According to the above formula, the temperature increment of any coordinate and any time can be calculated, and the coordinates of the discrete points on the tooth surface have been calculated, as shown in the following formula: Figure 8 The temperature increment of any point in the infinite domain caused by any discrete point on the tooth surface after a duration t can be determined, and the calculation method is shown in the following formula: (24) For any given contact line, it is assumed to contain j discrete points, and j The temperature increment of the Kth discrete point can be calculated by the following formula: (25) Assuming that the engagement time of the first contact line is defined as the initial time t 1 = t 0 , the engagement time of the nth contact line can be expressed as: i (26) The temperature of any given point after the end of the first engagement cycle and before the start of the second engagement cycle can be expressed as: (27) Since the honing process will not complete material removal in a single cycle, but will remove a portion of material each rotation until the specified feed amount is reached, it is not enough to calculate the temperature generated by only one engagement cycle, and the temperature accumulated during the entire honing process needs to be calculated. The total number of engagement cycles p on the tooth surface during the entire honing process is determined by the following formula: (28) Then, the tooth surface temperature during the entire honing process can be calculated by the following formula: (29) The method provided by the present application is suitable for the internal meshing strong honing process, and the machine tool used in the process is shown in Figure 9 , which has a total of 6 axes: workpiece radial feed X axis, workpiece axial feed Z axis, workpiece rotation C2 axis, honing wheel rotation C1 axis, honing wheel angle adjustment axis A axis, and pin moving axis U axis. An embodiment provided by the present application uses a workpiece gear with a tooth number N of 18, a helix angle β of 21.8 degrees, a right-hand direction, a tooth width b of 56 mm, a normal pressure angle α p of 19 degrees, and a normal modulus m ​n 2.615, the number of honing wheel teeth used N 79, helix angle β 15 degrees, direction is right-handed, tooth width b 60mm, normal pressure angle α p 19 degrees, normal modulus m n 2.615.

[0024] Based on the relative velocity vector between the gear and the honing wheel calculated in step 1, as shown in Table 1; Table 1. Relative velocity vector calculation results table

[0025] The meshing angle of the tooth surface contact line calculated in step 2 is shown in Table 2 (where 10 contact lines are selected), and the tooth surface contact point coordinates are shown in Tables 3, 4 and 5; Table 2. Tooth surface contact line meshing angle calculation results table

[0026] Table 3. Tooth surface contact point coordinate x table

[0027] Table 4. Tooth surface contact point coordinate y table

[0028] Table 5. Tooth surface contact point coordinate z table

[0029] Based on the heat flux density calculated in step 3, as shown in Table 6; Table 6. Heat flux density calculation results table

[0030] Based on step 4, the temperature rise under this embodiment is 71.3 degrees.

[0031] Based on the above embodiment, it can be seen that the calculation results of the method are within an acceptable range, so the tooth surface temperature field calculation method proposed by the present application is feasible.

[0032] Embodiments of the present application can be provided as a method, a system, or a computer program product. Accordingly, the present application can take the form of an entirely hardware embodiment, an entirely software embodiment, or an embodiment combining software and hardware aspects. Furthermore, the present application can take the form of a computer program product on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROMs, optical storage devices, and the like) embodying computer-readable program code.

[0033] The present application is described in reference to the flowchart and / or block diagrams of the method, apparatus (system) and computer program product according to embodiments of the present application. It is understood that each block of the flowchart and / or block diagrams, and combinations of blocks in the flowchart and / or block diagrams, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart and / or block diagrams block or blocks. Figure One one or more functions specified in the flowchart and / or block diagram block or blocks. Figure One one or more functions specified in the flowchart and / or block diagram block or blocks.

[0034] These computer program instructions can also be stored in a computer- readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instructions which implement the function specified in the flowchart and / or block diagram block or blocks. Figure One one or more functions specified in the flowchart and / or block diagram block or blocks. Figure One one or more functions specified in the flowchart and / or block diagram block or blocks.

[0035] These computer program instructions can also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart and / or block diagram block or blocks. Figure One one or more functions specified in the flowchart and / or block diagram block or blocks. Figure One Figure One one or more functions specified in the flowchart and / or block diagram block or blocks.

[0036] The contents of the present application which are not described in detail in the specification belong to the prior art known to those skilled in the art. It is hereby indicated that the above description is helpful for those skilled in the art to understand the present application, but does not limit the protection scope of the present application. Any equivalent replacement, modification, improvement and deletion of the above description without departing from the essential content of the present application falls within the protection scope of the present application.

Claims

1. A method for calculating the temperature field of the tooth surface of a strong force gear tooth honing based on a superimposed point heat source, characterized in that, The application relates to a method for calculating the temperature rise of a gear during a honing process. The method comprises the following steps: Step 1: constructing a tooth surface equation and a honing process coordinate system, and calculating the relative velocity vector between a gear and a honing wheel during the honing process; Step 2: determining a tooth surface contact point according to the relative velocity vector between the gear and the honing wheel based on the meshing principle; Step 3: calculating the heat flux density at the tooth surface contact point, and obtaining a continuous tooth surface contact line heat source based on the heat flux density; 2. The method for calculating the temperature field of the tooth surface of the strong force gear hobbing based on the superposition point heat source according to claim 1, characterized in that, Step 4: superimposing the entire tooth surface contact point heat source based on the point heat source superposition principle, and calculating the temperature rise of the entire tooth surface to a target point during the honing process. In step 1, the tooth surface equation and the honing process coordinate system are constructed, and the relative velocity vector between the gear and the honing wheel during the honing process is calculated, specifically as follows: Step 101: determining the coordinates of each point on the gear tooth surface and the normal vector of the standard involute tooth surface based on the involute formation mechanism, and establishing a standard involute gear tooth surface equation; Step 102: constructing a honing process motion coordinate system based on the honing process motion; 3. The method for calculating the temperature field of the tooth surface of the strong force gear hobbing based on the superposition point heat source according to claim 2, characterized in that, Step 103: calculating the relative velocity vector between the gear and the honing wheel during the honing process based on the standard involute gear tooth surface equation and the honing process motion coordinate system.

4. The method for calculating the temperature field of the tooth surface of the strong force gear hobbing based on the superposition point heat source according to claim 3, characterized in that, The honing process motion comprises honing wheel rotation, workpiece shaft rotation, honing wheel radial feeding and honing wheel axial feeding. In step 2, the tooth surface contact point is determined according to the relative velocity vector between the gear and the honing wheel based on the meshing principle, specifically as follows: Step 201: obtaining the normal vector of the honing wheel in the coordinate system through coordinate transformation, and calculating the meshing equation, i.e. the meshing condition, of the gear and the honing wheel based on the normal vector and the relative velocity vector between the gear and the honing wheel; Step 202: calculating the tooth surface contact line of the honing process based on the meshing condition; 5. The method for calculating the temperature field of the tooth surface of the strong force gear hobbing based on the superposition point heat source according to claim 4, characterized in that, Step 203: discretizing the tooth surface contact line into stage points, and calculating the point coordinates of the tooth surface contact points. In step 202, the tooth surface contact line of the honing process is calculated based on the meshing condition, specifically as follows: calculating the meshing angle based on the meshing condition, and extracting the maximum value and the minimum value of the meshing angle; calculating the meshing angle corresponding to a contact line based on the maximum value and the minimum value of the meshing angle; 6. The method of calculating the temperature field of the tooth surface of the strong force gear hobbing based on the superposition point heat source according to claim 5, characterized in that, obtaining the meshing angle corresponding to each contact line, and constructing the equation of the contact line based on the meshing angle. In step 3, the heat flux density at the tooth surface contact point is calculated, and a continuous tooth surface contact line heat source is obtained based on the heat flux density, specifically as follows: Step 301: calculating the heat flux density at the tooth surface contact point; 7. The method for calculating the temperature field of the tooth surface of the strong force gear hobbing based on the superposition point heat source according to claim 6, characterized in that, Step 302: converting the discrete tooth surface contact point heat source into a continuous tooth surface contact line heat source according to the heat flux density at each tooth surface contact point based on a triangular heat source model. In step 301, the heat flux density at the tooth surface contact point is calculated, specifically as follows: calculating the total heat generated by honing under the condition of non-dry honing; constructing an empirical force model of the internal meshing honing process; setting the energy flowing into the worn debris equal to the heat required to make the worn debris reach a molten state, and performing calculation; calculating the heat ratio flowing into the gear and the honing wheel; comprehensively obtaining the heat flux density at the tooth surface contact point by comprehensively considering the total heat generated by honing, the empirical force model, the energy flowing into the worn debris and the heat ratio flowing into the gear and the honing wheel.

8. The method of claim 7, wherein, In step 4, based on the point heat source superposition principle, the entire tooth surface contact point heat source is superimposed to calculate the temperature rise of the entire tooth surface to the target point during honing process, specifically: Step 401: Calculate the temperature rise of a tooth surface contact point heat source at any point based on the instantaneous point heat source theory; Step 402: Calculate the temperature rise of a tooth surface contact line heat source at any point during honing process based on the temperature rise calculation method of a tooth surface contact point heat source at any point; Step 403: Calculate the temperature rise of the entire tooth surface at any point during honing process based on the temperature rise calculation method of a tooth surface contact line heat source at any point.

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