Simulation analysis method for spiral bevel gear variable speed scanning heating

Abstract

The application provides a simulation analysis method for spiral bevel gear variable-speed scanning heating, and the specific steps are as follows: a method for equivalently converting continuous spatial curve movement into position change of an inductor three-dimensional model is used, the spiral guide path in the three-dimensional model is set as the movement path of the inductor according to the geometric structure of the spiral bevel gear, uneven heating position points are selected on the movement path, the position of the inductor three-dimensional model is determined by using the heating position points, the angle of each inductor three-dimensional model is determined by using the plane created by the heating position points, N inductor three-dimensional models are sequentially created, the inductor three-dimensional models sequentially perform N times of inductive heating simulation along the movement path, the temperature result of the nth time is taken as the temperature field of the n+1th time, and finally the temperature result of the Nth time is obtained, and the simulation of the variable-speed scanning heating of the spiral bevel gear is completed. The application realizes the spatial variable-speed movement scanning heating of the inductor, and solves the problem of large temperature difference of the spiral bevel gear inductive heating.

Description

Technical Field

[0001] This invention relates to the field of heat treatment, and in particular to a simulation analysis method for scanning heating of spiral bevel gears. Background Technology

[0002] Compared to traditional gear surface hardening processes, induction heating technology, relying on its efficient electromagnetic heating effect and precise localized heating, offers advantages such as minimal heat treatment distortion and low processing costs. However, in the development of precision induction heating technology for high-end products, it was found that while the electromagnetic heating process for large-module spiral bevel gears is fast, the significant differences in geometry between the large and small ends make it difficult to control the temperature uniformity of the gear profile. Ultimately, the uniformity of the gear heating temperature affects the uniformity of the hardened layer and the integrity of the material properties, which not only affects the quality of the spiral bevel gear but also the reliability and durability of the entire machine.

[0003] To achieve better uniformity of tooth profile temperature, scanning heating is employed for precise electromagnetic induction heating. However, quantifying and analyzing the scanning movement process of spiral bevel gears is a key technical challenge in producing high-end spiral bevel gears. Researchers utilize advanced computer simulation technology, a crucial and sophisticated method for reconstructing and analyzing the evolution mechanism of electromagnetic heating and heat conduction processes in gears. However, due to the complex structure of spiral bevel gears, the different modules of the large and small end faces, and the resulting helix angle, the tooth profile is a three-dimensional curved surface, making the inductor's movement during heating complex and variable. To obtain accurate design processes, the variability of the spiral bevel gear's tooth profile cross-sectional dimensions must be considered, and the toroidal effect and sharp-angle effect must be taken into account during induction heating. These physical effects complicate the quantitative analysis of spiral bevel gear tooth profile temperature. Therefore, to effectively improve the temperature uniformity of scanning heating of spiral bevel gears and extend gear life, a variable-speed scanning method suitable for complex spatial paths is needed. This method adapts to changes in the inductor's position and bottom angle during heating movement and achieves variable-speed spatial movement, representing a key industry technical problem that requires resolution. Summary of the Invention

[0004] To address the issues of different cross-sectional dimensions of the tooth profiles at the large and small ends of spiral bevel gears, as well as uneven heating at the large and small ends, this invention provides a simulation analysis method for variable-speed scanning heating of spiral bevel gears. By unequally selecting N points along the sensor's motion path, the sensor sequentially heats the selected N points for equal durations along the motion path. This ensures that during the heating simulation, the sensor moves rapidly at the small end of the spiral bevel gear and slowly at the large end, guaranteeing uniform heating of the tooth profiles at both ends.

[0005] This invention provides a simulation analysis method for scanning heating of spiral bevel gears, and the specific implementation steps are as follows:

[0006] S1. Create a 3D model of the spiral bevel gear, and set the spiral guide path in the 3D model as the motion path of the sensor. The expression of the motion path is:

[0007]

[0008] Where, δ o δ is the cone angle corresponding to a point on the involute of a spiral bevel gear. b The base cone angle of the spiral bevel gear;

[0009] S2. From the small end to the large end of the spiral bevel gear, the motion path of the sensor is divided into m segments with a decreasing difference of 2a between adjacent segments. Thus, the speed of the sensor moving along the motion path is changed while the heating time of each segment is the same.

[0010] S3. Determine the heating position points of the sensor on the motion path and number them from the beginning of the motion path. According to the distance between two adjacent heating position points being (S / m+(m-2i+1)·a) / p, select p heating position points on each of the m line segments obtained in step S2. Therefore, the total number of heating position points obtained on the motion path is: N=m·p.

[0011] S4. Determine the heating angle of the sensor, and position the i-th point o. i Let the tangent of the motion path be y. i Axis, passing through point o i Let x be a straight line perpendicular to the tangent and parallel to the bottom plane of the spiral bevel gear. i The axis is used to obtain the i-th point o. i x i o i y i The plane is used to create a 3D model of the sensor based on the determined heating location points and the sensor's heating angle;

[0012] S5. Import the 3D model of the sensor numbered n and the 3D model of the spiral bevel gear into the finite element software, solve the electromagnetic field by setting the electromagnetic field physical environment, and save the electromagnetic field results.

[0013] S6. Set the initial temperature of the sensor 3D model in the temperature field, and input the electromagnetic field solution obtained in step S5 into the temperature field physical environment to perform the coupling operation of the electromagnetic field and the temperature field, and obtain the temperature field result of the sensor 3D model numbered n.

[0014] S7. Judge the temperature field result obtained in step S6. If the number n is greater than or equal to N, proceed to step S8; if the number n is less than N, let n = n + 1, import the sensor 3D model with number n + 1, and proceed to step S5.

[0015] S8. Set the maximum ideal temperature difference to G. Along the direction from the small end to the large end of the spiral bevel gear, extract the maximum average temperature difference T on the three motion paths of the spiral bevel gear: tooth tip, tooth root, and tooth surface. Determine the relationship between the maximum average temperature difference T and the maximum ideal temperature difference G. If the maximum average temperature difference T is greater than the maximum ideal temperature difference G, then increase a and proceed to step S2. If the maximum average temperature difference T is less than or equal to the maximum ideal temperature difference G, then the scanning heating is completed.

[0016] Preferably, in step S1, the basic process of creating the three-dimensional model of the spiral bevel gear is as follows: first, the spiral bevel gear base is created; then, a spiral guide path is created according to the spiral angle θ, a scanning section is created, and finally, the teeth of the spiral bevel gear are created through a ring matrix.

[0017] Preferably, in step S1, the motion path is a spatial curve with constantly changing curvature and deflection, and the motion path starts from the small end and ends at the large end of the spiral bevel gear.

[0018] Preferably, in step S2, the length of the i-th line segment is S / m+(m-2i+1)·a, where S is the length of the motion path.

[0019] Preferably, in step S3, the heating position points are numbered starting from the position where the sensor's movement path begins, with the first point o1, and ending at the position where the sensor's movement path ends, with the last point o1. N This ensures that the distance between the heating points in each line segment gradually decreases from the small end to the large end of the spiral bevel gear.

[0020] Preferably, in step S4, the bottom surface of the sensor is parallel to the bottom surface of the large end of the spiral bevel gear; the number of the three-dimensional model of the sensor and the number of the heating position points are equal, both being N.

[0021] Preferably, in step S5, the initial value of the number n is 1.

[0022] Preferably, in step S6, the initial temperature setting process of the sensor three-dimensional model is as follows: if the number n≤1, the initial temperature of the sensor three-dimensional model is set to 25℃; if the number n>1, the initial temperature of the sensor three-dimensional model is set to the temperature field result obtained by the sensor three-dimensional model with number n-1.

[0023] Compared with the prior art, the present invention has the following advantages:

[0024] 1. This invention addresses the problem of complex and difficult-to-realize spatial curve motion of the sensor during the scanning and heating simulation of a spiral bevel gear. By using a non-uniform discrete sensor motion path, the continuous curve motion is equivalent to the change in the sensor model position. The discrete equivalent fit is applied to the spiral bevel gear's moving scanning and heating path, and the sensor model position is determined by points and planes. This adapts to the changes in the sensor's position and bottom surface angle during the heating motion, ensuring the accuracy of the sensor position and reducing simulation errors.

[0025] 2. This invention achieves spatial variable-speed movement of spiral bevel gears, solving the problem of large temperature differences during induction heating of spiral bevel gears. By changing the segment length of the motion path and the number of selected points, and adjusting the spacing between adjacent points, automatic speed change is achieved during the scanning heating process. Matching the geometric characteristics of the spiral bevel gear at both ends, it realizes a spatial variable-speed motion of the inductor suitable for gear induction heating, better adapting to the induction heat treatment of complex spiral bevel gear tooth profiles, effectively improving the temperature uniformity of spiral bevel gear scanning heating, and extending the service life of the gears. Attached Figure Description

[0026] Figure 1 This is a control flowchart of the simulation analysis method for scanning heating of spiral bevel gears according to the present invention;

[0027] Figure 2 This is a schematic diagram illustrating the simulation analysis method for scanning heating of spiral bevel gears according to the present invention.

[0028] Figure 3 This is a coordinate diagram of the spiral bevel gear speed scanning heating in the simulation analysis method of the present invention for spiral bevel gear speed scanning heating;

[0029] Figure 4 This is a schematic diagram of the sensor position distribution in the simulation analysis method for spiral bevel gear speed scanning heating of the present invention;

[0030] Figure 5 This is a velocity diagram of a specific embodiment of the simulation analysis method for scanning heating of spiral bevel gears according to the present invention;

[0031] Figure 6 This is a temperature distribution diagram of a specific embodiment of the simulation analysis method for scanning heating of spiral bevel gears according to the present invention.

[0032] Key reference numerals:

[0033] 1. Spiral bevel gear; 2. Sensor; 3. Motion path. Detailed Implementation

[0034] To provide a detailed description of the technical content, objectives, and effects of this invention, the following description will be provided in conjunction with the accompanying drawings.

[0035] A simulation analysis method for scanning heating of spiral bevel gear transmissions, such as... Figure 1 As shown, the specific implementation steps are as follows:

[0036] S1. Create a 3D model of the spiral bevel gear 1, and set the spiral guide path in the 3D model as the motion path 3 of the sensor 2. The expression of motion path 3 is:

[0037]

[0038] Where, δ o Let δ be the cone angle corresponding to a point on the involute of the spiral bevel gear 1. b The base cone angle of the spiral bevel gear 1.

[0039] Specifically, the basic process of creating the three-dimensional model of the spiral bevel gear 1 is as follows: first, create the base of the spiral bevel gear 1; then, create the spiral guide path according to the spiral angle θ, create the scanning section, and finally create the teeth of the spiral bevel gear 1 through the annular matrix.

[0040] Motion path 3 is a spatial curve with constantly changing curvature and deflection, starting from the small end and ending at the large end of the spiral bevel gear 1.

[0041] S2. From the small end to the large end of the spiral bevel gear 1, the motion path 3 of the sensor 2 is divided into m segments in an uneven manner according to the decreasing relationship of the difference between two adjacent line segments being 2a. Thus, under the condition that the heating time of each line segment is the same, the moving speed of the sensor 2 on the motion path 3 is changed.

[0042] Furthermore, the length of the i-th line segment among the m line segments is S / m+(m-2i+1)·a, where S is the length of the motion path 3.

[0043] With the heating time being the same at each position, the distance between points is adjusted by changing the segment length of motion path 3, thereby adjusting the movement speed of sensor 2. Increasing the distance between the small ends of spiral bevel gear 1 enables sensor 2 to move quickly at that position, while decreasing the distance between the large ends of spiral bevel gear 1 enables sensor 2 to move slowly at that position.

[0044] S3. Determine the heating position points of sensor 2 on the motion path 3 and number them from the starting position of motion path 3. According to the distance between two adjacent heating position points being (S / m+(m-2i+1)·a) / p, select p heating position points on each of the m line segments obtained in step S2. Therefore, the total number of heating position points obtained on motion path 3 is: N=m·p.

[0045] Furthermore, to ensure that the direction of motion of sensor 2 along motion path 3 is consistent, the numbering of the heating position points is fixed. The first point o1 is set at the beginning of the motion path 3 of sensor 2, and the last point o is set at the end of the motion path 3 of sensor 2. N This ensures that the distance between the heating points in each line segment gradually decreases from the small end to the large end of the spiral bevel gear 1.

[0046] Specifically, a heating position point is selected on the motion path 3. The heating position point represents the heating position when the sensor 2 slides along the motion path 3 during the simulation process. The position of the heating position point is determined to be the center point of the bottom surface of the sensor 2.

[0047] S4. Determine the heating angle of sensor 2, and position the i-th point o. i Let the tangent of motion path 3 be y. i Axis, passing through point o i Let x be a straight line perpendicular to the tangent and parallel to the bottom plane of the spiral bevel gear 1. i The axis is used to obtain the i-th point o. i x i o i y i The plane, and based on the determined heating position points o1, o2, ... o N The heating angles of sensor 2 are x1o1y1, x2o2y2, ... x N o N y N Create a 3D model of sensor 2. The 3D models of sensor 2 are numbered 1, 2, ..., N.

[0048] In a preferred embodiment of the present invention, the bottom surface of the sensor 2 is parallel to the bottom surface of the large end of the spiral bevel gear 1; the number of three-dimensional models of the sensor 2 and the number of heating position points are equal, both being N.

[0049] S5. Import the 3D model of sensor 2 (numbered n) and the 3D model of spiral bevel gear 1 into the finite element software, establish an air model, mesh spiral bevel gear 1, sensor 2 and air respectively, perform Boolean operations, reset the mesh number of the model composed of spiral bevel gear 1, sensor 2 and air, extract the node matrix of the end face of sensor 2 to set the electromagnetic physical field, set the solver required for the electromagnetic field matrix, solve the electromagnetic field and save the electromagnetic field results.

[0050] Specifically, the initial value of number n is 1.

[0051] S6. Set the initial temperature of the three-dimensional model of sensor 2 in the temperature field, and input the electromagnetic field solution obtained in step S5 into the physical environment of the temperature field to perform coupling calculation of electromagnetic field and temperature field, so as to obtain the temperature field result of the three-dimensional model of sensor 2 with number n.

[0052] The process of setting the initial temperature of the three-dimensional model of sensor 2 is as follows: if the number n≤1, the initial temperature of the three-dimensional model of sensor 2 is set to 25℃, and the unit node temperature of the current three-dimensional model of sensor 2 is applied; if the number n>1, the initial temperature of the three-dimensional model of sensor 2 is set to the temperature field result obtained by the three-dimensional model of sensor 2 with the number n-1, and the unit node temperature of the current three-dimensional model of sensor 2 is applied.

[0053] S7. Judge the temperature field result obtained in step S6. If the number n is greater than or equal to N, proceed to step S8; if the number n is less than N, let n = n+1, import the sensor 3D model with number n+1, and proceed to step S5.

[0054] S8. Set the maximum ideal temperature difference to G. Along the direction from the small end to the large end of the spiral bevel gear 1, extract the maximum average temperature difference T on the three motion paths 3 of the spiral bevel gear 1: tooth tip, tooth root, and tooth surface. Determine the relationship between the maximum average temperature difference T and the maximum ideal temperature difference G. If the maximum average temperature difference T is greater than the maximum ideal temperature difference G, then increase a and proceed to step S2. If the maximum average temperature difference T is less than or equal to the maximum ideal temperature difference G, then the scanning heating is completed.

[0055] The following describes in further detail a simulation analysis method for scanning heating of spiral bevel gears according to the present invention, with reference to specific embodiments:

[0056] Since the simulation analysis method of this invention is a heat treatment simulation of the spiral bevel gear 1, when using ANSYS finite element simulation software in this specific embodiment, the following simplification is made based on the actual equipment conditions, while ensuring the accuracy of the simulation results: Figure 4 As shown, Figure 4In this context, P represents the direction of movement. Only a portion of the teeth of the spiral bevel gear 1 were modeled, and the simulation only included induction heating of a single tooth. The specific implementation process is as follows:

[0057] S1. Create a 3D model of the spiral bevel gear 1. The basic process is as follows: First, create the base of the spiral bevel gear 1; then, create the spiral guide path based on the spiral angle of 54.5°, create the scanning section, and finally create the teeth of the spiral bevel gear 1 using a ring matrix; as shown... Figure 2 As shown, the spiral guide path in the three-dimensional model of the spiral bevel gear 1 is set as the motion path 3 of the sensor 2, located in the middle of two adjacent teeth of the spiral bevel gear 1, and the motion path length S is 54mm.

[0058] S2. Set the sensor 2 from the small end to the large end of the spiral bevel gear 1, and divide the motion path 3 of the sensor 2 into 6 uneven line segments according to the decreasing relationship of the difference between two adjacent line segments being 2. The length of the first line segment is 14mm, the length of the second line segment is 12mm, the length of the third line segment is 10mm, the length of the fourth line segment is 8mm, the length of the fifth line segment is 6mm, and the length of the sixth line segment is 4mm.

[0059] S3. Determine the heating position of sensor 2 on motion path 3 and number it from the beginning of motion path 3. Set sensor 2 to move from the small end to the large end. Set parameter p to 4. Select 4 points on the first line segment. Select the starting endpoint of the first line segment as the first point o1. Select the next point every 3.5mm until the first line segment has completed the selection of 4 points. Select points on the remaining 5 line segments in sequence, selecting 4 points on each line segment.

[0060] S4, such as Figure 3 As shown, the heating angle of sensor 2 is determined, and the i-th point o is... i Let the tangent of motion path 3 be y. i Axis, passing through point o i Let x be a straight line perpendicular to the tangent and parallel to the bottom plane of the spiral bevel gear 1. i The axis is used to obtain the i-th point o. i x i o i y i Plane; such as Figure 4 As shown, and based on the determined heating positions o1, o2, ... o N The heating angles of sensor 2 are x1o1y1, x2o2y2, ... x N o N y N Create a 3D model of sensor 2, numbered 1, 2, ..., N. For example... Figure 3 and Figure 4 As shown, the heating angle of sensor 2 is determined according to the newly established local coordinate axis. Sensor 2 remains parallel to the tooth root of the spiral bevel gear 1. The point represents the heating position of sensor 2 as it slides along motion path 3 during the simulation. The uneven distribution of the points determines the heating angle of sensor 2 as shown. Figure 5 The diagram shows the movement speed of sensor 2. The movement speed of sensor 2 gradually decreases from the small end to the large end of spiral bevel gear 1, while the heating time gradually increases.

[0061] S5. Import the 3D model of sensor 2 (numbered n) and the 3D model of spiral bevel gear 1 into the finite element software. Establish a cylindrical air model with a volume 3-5 times the model volume. Mesh the spiral bevel gear 1, sensor 2, and air separately, perform Boolean operations, reset the mesh numbering of the model composed of spiral bevel gear 1, sensor 2, and air, extract the node matrix of the end face of sensor 2, set the electromagnetic physical field, and apply a current with a frequency of 8000 Hz and a current density of 10000 A / m. 2 Set the solver required for the electromagnetic field matrix, solve the electromagnetic field, and save the electromagnetic field results.

[0062] S6. Set the initial temperature of the three-dimensional model of sensor 2 to 25℃ in the temperature field, apply the unit node temperature of the current three-dimensional model of sensor 2, and input the electromagnetic field solution obtained in step S5 into the temperature field physical environment to perform the coupling calculation of electromagnetic field and temperature field. Set the heating time T to 0.25s to obtain the temperature field result of the three-dimensional model of sensor 2 with number n.

[0063] S7. In this specific implementation, the initial value of number n is set to 1. The temperature field result file of the finite element simulation of the three-dimensional model of sensor 2 (number 1) is obtained and the output temperature field result file is saved. Proceed to step S5. Import the three-dimensional model of sensor 2 (number 2), solve the electromagnetic field and save the electromagnetic field result. The set temperature environment of model 2 is the temperature field result file output by the finite element simulation of the three-dimensional model of sensor 2 (number 1). Apply unit node temperature to the three-dimensional model of the current sensor 2, set the temperature field physical environment, set the temperature field matrix solver, perform the coupling calculation of electromagnetic field and temperature field, set the heating time to 0.25s, obtain the temperature field result file of the finite element simulation of the three-dimensional model of sensor 2 (number 2), save the output temperature field result file and proceed to step S5. The simulation of the three-dimensional models of sensors 2 from number 1 to number N is completed in sequence to obtain the temperature field result file of number N. Proceed to step S8.

[0064] S8. Set the maximum ideal temperature difference G to 50℃. Along the direction from the small end to the large end of the spiral bevel gear 1, extract the maximum average temperature difference T on the three motion paths 3 of the spiral bevel gear 1: tooth tip, tooth root, and tooth surface. Determine the relationship between the maximum average temperature difference T and the maximum ideal temperature difference 100℃. If the maximum average temperature difference T is greater than the maximum ideal temperature difference 100℃, then increase a from 1 mm to 2 mm and proceed to step S2. If the maximum average temperature difference T is less than or equal to the maximum ideal temperature difference 100℃, then the scanning heating is completed.

[0065] like Figure 6 As shown, with the stepping movement of sensor 2 in this specific embodiment, each step of sensor 2 will induce heating of the spiral bevel gear 1 for 0.25 seconds. Figure 6 The first image on the left in the first row shows that the small end of the spiral bevel gear 1 reaches the induction hardening temperature first. When the inductor 2 moves to the spiral bevel gear 1, the large end of the gear also reaches the induction hardening temperature. Figure 6 As shown, as the sensor 2 moves, the tooth profile of the spiral bevel gear 1 reaches the induction quenching temperature at each part, and the quenching temperature layer is semi-circular.

[0066] In the initial stage of the movement of the spiral bevel gear 1, the temperature of the tooth tip, tooth root and tooth surface of the small end face of the spiral bevel gear 1 all reach more than 1000℃; after the spiral bevel gear 1 has moved in multiple steps, the temperature of the tooth tip, tooth root and tooth surface of the large end face of the spiral bevel gear 1 also reaches more than 1000℃. At this time, the sharp corner effect has little effect and the tooth profile temperature distribution of the spiral bevel gear 1 is uniform.

[0067] The embodiments described above are merely preferred embodiments of the present invention and are not intended to limit the scope of the present invention. Various modifications and improvements made by those skilled in the art to the technical solutions of the present invention without departing from the spirit of the present invention should fall within the protection scope defined by the claims of the present invention.

Claims

1. A simulation analysis method for scanning heating of spiral bevel gears, characterized in that, Specifically, the following steps are included: S1. Create a 3D model of the spiral bevel gear, and set the spiral guide path in the 3D model as the motion path of the sensor. The expression of the motion path is: ； in, Let be the cone angle corresponding to a point on the involute of a spiral bevel gear. The base cone angle of the spiral bevel gear; The motion path is a spatial curve with constantly changing curvature and deflection, starting from the small end and ending at the large end of the spiral bevel gear. S2. From the small end to the large end of the spiral bevel gear, the motion path of the sensor is divided into m segments with a decreasing difference of 2a between adjacent line segments. Thus, the moving speed of the sensor on the motion path is changed while the heating time of each line segment is the same. The length of the i-th line segment is Where S is the length of the motion path; S3. Determine the heating position points of the sensor along the motion path and number them from the starting position of the motion path, according to the distance between two adjacent heating position points. In step S2, p heating points are selected from each of the m line segments. Therefore, the total number of heating points obtained along the motion path is: ; The heating position points are numbered starting from the position where the sensor's movement path begins. Set the last point at the position where the sensor's motion path ends. This ensures that the distance between the heating points in each line segment gradually decreases from the small end to the large end of the spiral bevel gear. S4. Determine the heating angle of the sensor, and place the i-th point... Set the tangent of the motion path as Axis, passing through point Let a straight line perpendicular to the tangent direction and parallel to the bottom plane of the spiral bevel gear be defined as... The axis is used to obtain the i-th point. of The plane is used to create a 3D model of the sensor based on the determined heating location points and the sensor's heating angle; S5. Import the 3D model of the sensor numbered n and the 3D model of the spiral bevel gear into the finite element software, solve the electromagnetic field by setting the electromagnetic field physical environment, and save the electromagnetic field results. S6. Set the initial temperature of the sensor 3D model in the temperature field, and input the electromagnetic field solution obtained in step S5 into the temperature field physical environment to perform the coupling operation of the electromagnetic field and the temperature field, and obtain the temperature field result of the sensor 3D model numbered n. S7. Judge the temperature field result obtained in step S6. If the number n is greater than or equal to N, proceed to step S8; if the number n is less than N, let n = n + 1, import the sensor 3D model with number n + 1, and proceed to step S5. S8. Set the maximum ideal temperature difference to G. Along the direction from the small end to the large end of the spiral bevel gear, extract the maximum average temperature difference T on the three motion paths of the spiral bevel gear: tooth tip, tooth root, and tooth surface. Determine the relationship between the maximum average temperature difference T and the maximum ideal temperature difference G. If the maximum average temperature difference T is greater than the maximum ideal temperature difference G, then increase a and proceed to step S2. If the maximum average temperature difference T is less than or equal to the maximum ideal temperature difference G, then the scanning heating is completed.

2. The simulation analysis method for scanning heating of spiral bevel gears according to claim 1, characterized in that, In step S1, the basic process of creating the three-dimensional model of the spiral bevel gear is as follows: first, create the spiral bevel gear base; then, create the spiral guide path according to the spiral angle θ, create the scanning section, and finally create the teeth of the spiral bevel gear through the annular matrix.

3. The simulation analysis method for scanning heating of spiral bevel gears according to claim 1, characterized in that, In step S4, the bottom surface of the sensor is parallel to the bottom surface of the large end of the spiral bevel gear; the number of the three-dimensional model of the sensor and the number of the heating position points are equal, both being N.

4. The simulation analysis method for scanning heating of spiral bevel gears according to claim 1, characterized in that, In step S5, the initial value of the number n is 1.

5. The simulation analysis method for scanning heating of spiral bevel gears according to claim 1, characterized in that, In step S6, the initial temperature setting process for the sensor's three-dimensional model is as follows: (Number n) When n > 1, the initial temperature of the sensor 3D model is set to 25℃; when n > 1, the initial temperature of the sensor 3D model is set to the temperature field result obtained from the sensor 3D model numbered n-1.

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