Gear contact spot position detection method
By calculating the elastic deformation distribution of the gear using strain detection sensors and fiber optic grating sensors, the problem of low detection efficiency and insufficient accuracy caused by the application of pigments in existing technologies is solved, and accurate detection of the gear contact spot position under high load is achieved.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- CHONGQING MIRACLE NEW ENERGY AUTO PARTS MFG CO LTD
- Filing Date
- 2026-06-29
- Publication Date
- 2026-07-31
AI Technical Summary
Existing methods for detecting gear contact spot positions rely on applying pigments, resulting in uneven coating thickness, low efficiency, and the detection results depend on manual visual judgment, making it difficult to obtain accurate offset and area, and unable to detect under high loads.
A strain sensor is used to detect the elastic deformation distribution of the gear under simulated load and speed. The position of the contact spot is determined by calculating the strain intensity and ratio. A fiber optic grating sensor is used to accurately measure the elastic deformation of the gear. The distance from the contact spot to the tooth tip is calculated by combining the calibration function.
No pigments are needed, reducing labor and improving testing efficiency. The test results are accurate, and the working conditions are consistent with the actual working conditions. It can accurately determine the location of contact spots under high loads.
Smart Images

Figure CN122486501A_ABST
Abstract
Description
Technical Field
[0001] This invention belongs to the field of gear inspection technology, and in particular to a method for detecting the position of gear contact spots. Background Technology
[0002] Among the various precision indicators of gears, the contact spot position is one of the most intuitive and important comprehensive indicators for evaluating the meshing state of gear pairs. The contact spot position reflects the actual contact area of the gear tooth surface under load and can comprehensively reflect the influence of tooth profile error, tooth direction error, helix angle error, and installation error on meshing.
[0003] Currently, the location of contact spots is generally detected using a coloring method. This involves using a standard gear and a gear under test. A layer of pigment is applied to the tooth surface of one of the gears. The two gears are then meshed, and a slight torque is applied to cause them to rotate at a low speed. After several rotations, the gear is removed, and the area where the pigment has worn away is taken as the location of the contact spot. This detection method has the following drawbacks: 1. Before testing, operators must apply red or blue lead coating to the tooth surface using a brush or roller. The coating thickness cannot be quantitatively controlled, and there are significant differences in coating thickness between different operators and different batches. An excessively thick coating will result in a falsely large contact area, leading to misjudgment; an excessively thin coating will fail to form a complete color trace. Furthermore, applying the pigment increases workload and reduces efficiency.
[0004] 2. After the test is completed, the tooth surface needs to be wiped repeatedly with kerosene or cleaning agent to remove residual coating. The cleaning time for a single piece often exceeds the test itself, affecting the test efficiency. In addition, the evaporation of organic solvents is detrimental to the health of operators.
[0005] 3. It relies heavily on the visual experience and subjective judgment of the inspectors. For the offset of the center position of the contact spot and the size of the contact area, it can only give a qualitative description (such as "offset of the tooth tip" or "offset of the tooth end"), and it is difficult to obtain the precise offset. The vague judgment criteria are not conducive to data recording, quality traceability and process improvement in the production process.
[0006] 4. It can only be tested under low load and low speed, which does not match the actual working conditions of the gear. Summary of the Invention
[0007] The technical problem to be solved by the present invention is to provide a method for detecting the position of gear contact spots, which eliminates the need for applying paint, reduces labor, and can obtain the position of contact spots under workload.
[0008] To solve the above problems, the technical solution adopted by the present invention is: a gear contact spot position detection method, comprising the following steps: S1. Prepare a first standard gear. The first standard gear is used to simulate the meshing gear when the gear under test is working. Each tooth of the first standard gear has an axially extending mounting hole inside, and a strain detection sensor is installed in the mounting hole. S2. Engage the gear under test with the first standard gear, apply a simulated load to the gear under test, the simulated load being consistent with the actual load during operation, and simultaneously drive the gear under test to rotate, the speed being consistent with the actual speed during operation; use a strain detection sensor to detect the distribution of the first elastic deformation generated by the wall of the mounting hole during rotation. S3. Determine the first position of the contact spot between the first standard gear and the gear under test based on the first elastic deformation distribution.
[0009] Furthermore, in step S1, a second standard gear is prepared, the dimensions of which are consistent with the design dimensions of the gear being tested; Before step S2, the second standard gear meshes with the first standard gear, and a simulated load is applied to the second standard gear. The simulated load is consistent with the actual load when the gear under test is working. At the same time, the second standard gear is driven to rotate, and the rotation speed is consistent with the actual rotation speed when the gear under test is working. The distribution of the second elastic deformation generated by the mounting hole wall during the rotation is detected by the strain detection sensor. In step S3, the second position of the contact spot between the second standard gear and the first standard gear is calculated, the error between the second position and the ideal spot position is calculated, and then the first position is corrected based on the error.
[0010] Furthermore, the mounting hole includes a first mounting hole located at the tooth tip and a second mounting hole located at the tooth root. The distance from the first mounting hole to the tooth tip surface is 2-2.5 mm, and the distance from the second mounting hole to the tooth root surface is 2-2.5 mm. The strain detection sensor in the first mounting hole is a first fiber Bragg grating sensor, and the strain detection sensor in the second mounting hole is a second fiber Bragg grating sensor.
[0011] Furthermore, the first fiber Bragg grating sensor and the second fiber Bragg grating sensor have M gratings inscribed along the length direction, where 10 ≥ M ≥ 5. Each tooth of the first standard gear has M measurement points along its axial direction, and each grating corresponds to one measurement point. The process of calculating the location of the contact spot includes: Calculate the overall strain intensity Si at each measurement point: Si = εi top + εi root , Where, εi top Let εi be the strain value of the first fiber Bragg grating sensor at measurement point i. root The strain value of the second fiber Bragg grating sensor at measurement point i; Calculate the location of the axial contact center, Caxial: Caxial= ; Calculate the strain ratio R at the axial contact center: R=ε Caxial top / ε Caxial root , Where, ε Caxial top ε is the strain value of the first fiber Bragg grating sensor at the axial contact center. Caxial root This represents the strain value of the second fiber Bragg grating sensor at the axial contact center. The distance from the contact spot to the tooth tip is calculated using a calibration function.
[0012] Furthermore, the calibration function is: h = a*R³ + b*R² + c*R + d Where h is the distance from the contact spot to the tooth tip; a, b, c, and d are coefficients determined through calibration experiments.
[0013] Further, step S2 is performed on a test bench, which includes a horizontal support platform. A fixed frame and a slide are provided on the support platform. A drive shaft is provided on the fixed frame, and a drive mechanism is connected to one end of the drive shaft. A first standard gear is provided on the drive shaft. A driven shaft parallel to the drive shaft is provided on the slide. The second standard gear and the gear under test are both mounted on the driven shaft, and a load application mechanism is provided at one end of the driven shaft. The slide slides in a sliding fit with the support platform, and the slide is connected to an adjustment mechanism that drives the slide to move so that the second standard gear and the gear under test mesh with the first standard gear in sequence.
[0014] Furthermore, the load application mechanism is a magnetic powder brake.
[0015] Furthermore, the first standard gear is integrally formed with the drive shaft; the second standard gear is integrally formed with the driven shaft.
[0016] Furthermore, the slide is provided with a first stand and a second stand, and the two ends of the driven shaft pass through the first stand and the second stand respectively and are installed on the first stand and the second stand through bearings. The gear to be tested, the first stand, the second stand and the second standard gear are arranged sequentially along the driven shaft axis.
[0017] The beneficial effects of the present invention are: 1. The present invention detects the first elastic deformation distribution of each tooth of the first standard gear during rotation by a strain detection sensor, and then calculates the first position of the contact spot between the first standard gear and the gear under test based on the first elastic deformation distribution. It does not require the application of pigment or the cleaning of pigment after testing, which reduces the workload of the staff and helps to improve the efficiency of the entire testing process.
[0018] 2. During the testing process, the rotational speed of the gear being tested is consistent with its rated rotational speed during operation, and the load is consistent with its rated load during operation, so that the testing conditions are consistent with the working conditions, thus ensuring the accuracy of the test. Attached Figure Description
[0019] Figure 1 This is a flowchart of the gear contact spot position detection method of the present invention; Figure 2 This is a side view of the first standard gear; Figure 3 yes Figure 2 Schematic diagram of the cross section of AA; Figure 4 This is a top view of the test bench of the present invention; Figure 5 yes Figure 4 Schematic diagram of the BB section; Figure 6 yes Figure 4 Schematic diagram of the CC section; Reference numerals: 1—First standard gear; 2—Gear under test; 3—Mounting hole; 31—First mounting hole; 32—Second mounting hole; 4—Strain detection sensor; 5—Second standard gear; 11—Supporting platform; 12—Fixed frame; 13—Slide; 14—Drive shaft; 15—Drive mechanism; 16—Driven shaft; 17—Load application mechanism; 18—Adjustment mechanism; 20—First support frame; 21—Second support frame. Detailed Implementation
[0020] The present invention will be further described below with reference to the accompanying drawings and embodiments.
[0021] The gear contact spot position detection method of the present invention, such as... Figure 1 As shown, it includes the following steps: S1. Prepare a first standard gear 1. The first standard gear 1 is used to simulate the gear meshing when the gear under test 2 is working. The gear meshing when the gear under test 2 is the gear that matches and meshes with the gear under test 2 when the gear under test 2 is officially put into use. This gear is referred to as the matching gear. The first standard gear 1 has the same dimensions as the matching gear, but has higher machining accuracy and can be used as a reference gear.
[0022] like Figure 2 and Figure 3 As shown, each tooth of the first standard gear 1 has an axially extending mounting hole 3 inside, and a strain detection sensor 4 is installed inside the mounting hole 3. The mounting hole 3 is a circular hole, which can be drilled at one end of the tooth during machining. The strain detection sensor 4 can detect the strain of the tooth.
[0023] S2. Engage the gear under test 2 with the first standard gear 1, and apply a simulated load to the gear under test 2. The simulated load is consistent with the actual load during operation. Since the actual load during operation fluctuates, the simulated load is the rated load of the gear under test 2 during operation. Simultaneously, the gear under test 2 is driven to rotate at the same speed as the actual speed during operation. Specifically, the speed of the gear under test 2 is consistent with the rated speed. The rated load and rated speed are obtained from the design documents of the gear under test 2. Use the strain sensor 4 to detect the distribution of the first elastic deformation generated on the wall of the mounting hole 3 during rotation.
[0024] Apply a rated load to the gear 2 under test and drive it to rotate at a rated speed to make the test conditions closer to the actual working conditions, thus ensuring that the detected spot position is more consistent with the spot position during actual operation.
[0025] When the gear under test 2 meshes with the first standard gear 1 and the gear under test 2 rotates at the rated speed under the rated load, the contact pressure between the tooth surfaces of the two gears causes the tooth profile to undergo elastic deformation. This deformation is transmitted to the wall of the mounting hole 3, causing strain on the hole wall. The strain detection sensor 4 can detect the strain at various positions on the wall of the mounting hole 3, which is the first elastic deformation distribution.
[0026] S3. Determine the first position of the contact spot between the first standard gear 1 and the gear under test 2 based on the first elastic deformation distribution.
[0027] The first elastic deformation distribution is determined by the position of the contact spot. Therefore, the first position of the contact spot of the first standard gear 1 and the gear under test 2 can be deduced from the first elastic deformation distribution.
[0028] Specifically, mounting holes 3 include a first mounting hole 31 located at the tooth tip and a second mounting hole 32 located at the tooth root. The distance from the first mounting hole 31 to the tooth tip surface is 2-2.5 mm, and the distance from the second mounting hole 32 to the tooth root surface is 2-2.5 mm, ensuring that deformation can be effectively transmitted to the hole wall of mounting hole 3. The strain detection sensor 4 in the first mounting hole 31 is a first fiber Bragg grating sensor, and the strain detection sensor 4 in the second mounting hole 32 is a second fiber Bragg grating sensor. The first and second fiber Bragg grating sensors have different center wavelength ranges, facilitating signal differentiation. The optical fibers of the first and second fiber Bragg grating sensors are led out from the opening of mounting hole 3 and connected to the grating demodulator via a slip ring. The wavelength offset output by the fiber Bragg grating sensor is demodulated by the grating demodulator and converted into a strain value.
[0029] The first and second fiber Bragg grating sensors have M gratings inscribed along their length, where 10 ≥ M ≥ 5, and the number of gratings in the first and second sensors is the same. Each tooth of the first standard gear 1 has M measurement points along its axial direction, with each grating corresponding to one measurement point. After the first and second fiber Bragg grating sensors are installed, the axial positions of the M gratings are determined, meaning the positions of the measurement points are fixed. The distance from each grating to the gear end face can be used as the axial coordinate.
[0030] The process of calculating the location of the contact spot includes: Calculate the overall strain intensity Si at each measurement point: Si = εi top + εi root , Where, εi top Let εi be the strain value of the first fiber Bragg grating sensor at measurement point i. root The value of the strain at measurement point i is given by the second fiber optic grating sensor.
[0031] Calculate the location of the axial contact center, Caxial: Caxial= .
[0032] At the same axial position, the strain ratio measured in the first mounting hole 31 near the tooth tip and the second mounting hole 32 near the tooth root reflects the position of the contact point in the tooth height direction. When the contact point is biased towards the tooth tip, the strain in the top hole is greater than that in the root hole; the opposite is true when the contact point is biased towards the tooth root. Therefore, the strain ratio R at the axial contact center is calculated as follows: R=ε Caxial top / ε Caxial root , Where, ε Caxial topε is the strain value of the first fiber Bragg grating sensor at the axial contact center. Caxial root This represents the strain value of the second fiber optic grating sensor at the axial contact center.
[0033] The distance from the contact spot to the tooth tip is calculated using a calibration function.
[0034] The calibration function is: h = a*R³ + b*R² + c*R + d Where h is the distance from the contact spot to the tooth tip; a, b, c, and d are coefficients determined through calibration experiments.
[0035] The calibration experiment procedure is as follows: The first standard gear 1 was fixed on the calibration platform. A miniature pressure head (with an end curvature radius consistent with the fillet radius of the tooth tip of the gear 2 under test) was used to apply the same standard pressure to different axial positions on the tooth surface of the first standard gear 1. The standard pressure was the pressure borne by the contact spot of the gear 2 under test during actual operation. Starting from one end of the tooth profile, a point was taken every 2 mm, and the strain output of the first fiber Bragg grating sensor and the second fiber Bragg grating sensor at each loading position was recorded. The accuracy of the Caxial position of the axial contact center was verified based on the test results.
[0036] At the axial center of the tooth surface, a miniature pressure head applies the same standard pressure to different tooth height positions, starting from the tooth tip and taking a point every 0.5 mm until the tooth root. The strain outputs of the first and second fiber Bragg grating sensors are recorded at each loading position, and the strain ratio R is calculated. A curve is plotted with the distance h from the loading position to the tooth tip as the abscissa and the strain ratio R as the ordinate. Then, a cubic polynomial is used for fitting to obtain the values of coefficients a, b, c, and d.
[0037] The gear 2 under test does not have mounting holes 3 in its tooth profile. After mounting holes 3 are made in the tooth profile of the first standard gear 1, its tooth strength and stress deformation change, which introduces errors into the test results. In order to reduce the error, in step S1 of this invention, a second standard gear 5 is prepared. The dimensions of the second standard gear 5 are consistent with the design dimensions of the gear 2 under test, and the machining accuracy of the second standard gear 5 is high, so it can be used as a reference standard.
[0038] Before step S2, the second standard gear 5 meshes with the first standard gear 1, and a simulated load is applied to the second standard gear 5. The simulated load is consistent with the actual load when the gear under test 2 is working. At the same time, the second standard gear 5 is driven to rotate, and the rotation speed is consistent with the actual rotation speed when the gear under test 2 is working. The distribution of the second elastic deformation generated by the wall of the mounting hole 3 during the rotation is detected by the strain detection sensor 4.
[0039] In step S3, the second position of the contact spot between the second standard gear 5 and the first standard gear 1 is calculated, the error between the second position and the ideal spot position is calculated, and then the first position is corrected based on the error.
[0040] Both the first standard gear 1 and the second standard gear 5 are high-precision reference gears. Assuming the first standard gear 1 does not have a mounting hole 3, the contact pattern of the first standard gear 1 and the second standard gear 5 should be located at the ideal spot position required by the design documents. However, when the first standard gear 1 has a mounting hole 3, the position of the contact pattern deviates from the ideal spot position. Therefore, by detecting the error between the second position and the ideal spot position, the error caused by the mounting hole 3 can be obtained. Then, the first position is corrected based on this error, thereby significantly reducing the error caused by the mounting hole 3 and obtaining a more accurate first position. For example, assuming the error caused by the mounting hole 3 is that the second position is offset by 1mm towards the tooth tip from the ideal spot position, then the first position is moved 1mm towards the tooth root. Similarly, based on the direction and amount of the error offset, the first position is compensated in the opposite direction, ultimately obtaining a precise contact pattern position.
[0041] Step S2 is performed on the test bench, such as... Figures 4 to 5 As shown, the test bench includes a horizontal support platform 11, which is made of a thick metal plate. A fixing frame 12 and a slide 13 are provided on the support platform 11.
[0042] The fixed frame 12 is immovable and its position is fixed. A horizontal drive shaft 14 is installed on the fixed frame 12, and the drive shaft 14 is mounted on the fixed frame 12 via bearings. One end of the drive shaft 14 is connected to a drive mechanism 15, which is a motor used to drive the drive shaft 14 to rotate. A first standard gear 1 is installed on the drive shaft 14.
[0043] A driven shaft 16 parallel to the drive shaft 14 is provided on the slide 13. The second standard gear 5 and the gear under test 2 are both mounted on the driven shaft 16, and a load application mechanism 17 is provided at one end of the driven shaft 16. The load application mechanism 17 is used to apply the load during actual operation. This load is the rated load. The load application mechanism 17 can specifically be a magnetic powder brake. The slide 13 is slidably engaged with the support table 11. Specifically, a high-precision slide groove or slide rail can be provided on the support table 11, and the slide 13 is slidably engaged with the slide groove or slide rail. The slide 13 is connected to an adjustment mechanism 18 that drives the slide 13 to move, so that the second standard gear 5 and the gear under test 2 mesh with the first standard gear 1 in sequence. The adjustment mechanism 18 can be a screw mechanism driven by a motor. The screw is threadedly engaged with the slide 13. The motor drives the screw to rotate, and the screw can drive the slide 13 to move linearly.
[0044] During testing, the second standard gear 5 first meshes with the first standard gear 1; a load is applied to the driven shaft 16 using the load application mechanism 17 to simulate real working conditions; the drive mechanism 15 drives the drive shaft 14 and the first standard gear 1 to rotate, and the first standard gear 1 drives the second standard gear 5 and the driven shaft 16 to rotate. The rotational speed of the second standard gear 5 is consistent with the rated speed of the gear 2 under test. During rotation, the strain sensor 4 detects the distribution of the first elastic deformation generated on the wall of the mounting hole 3 during rotation and calculates the second position and error.
[0045] Next, the sliding block 13 is moved by the adjusting mechanism 18, causing the second standard gear 5 to disengage from the first standard gear 1. Simultaneously, the teeth of the gear under test 2 enter the tooth groove of the first standard gear 1, thus meshing the gear under test 2 with the first standard gear 1. During this process, the sliding block 13 moves slowly, and the drive shaft 14 can be manually rotated to ensure that the gear under test 2 can quickly mesh with the first standard gear 1. A limit block can be set on the support platform 11, and the sliding block 13 stops moving when it reaches the limit block, ensuring that the gear under test 2 and the second standard gear 5 are in the same axial position.
[0046] Then the first position is detected, and the first position is corrected based on the error.
[0047] To minimize installation errors of the first standard gear 1 and the second standard gear 5, and to ensure the positional accuracy of the first standard gear 1 and the drive shaft 14, as well as the positional accuracy of the second standard gear 5 and the driven shaft 16, the first standard gear 1 and the drive shaft 14 are integrally formed, and the second standard gear 5 and the driven shaft 16 are integrally formed. Only machining errors exist between the first standard gear 1 and the drive shaft 14, and between the second standard gear 5 and the driven shaft 16; there are no installation errors, resulting in even smaller overall errors. The gear 2 under test is mounted to the driven shaft 16 via a spline or similar structure.
[0048] When multiple gears 2 need to be tested in batches, repeated installation and removal of the gears 2 are required. To facilitate the installation and removal of the gears 2, the slide 13 of this invention is provided with a first support 20 and a second support 21. The two ends of the driven shaft 16 pass through the first support 20 and the second support 21 respectively and are mounted on the first support 20 and the second support 21 through bearings. The gear 2, the first support 20, the second support 21, and the second standard gear 5 are arranged sequentially along the axial direction of the driven shaft 16. The second standard gear 5 is located between the second support 21 and the load application mechanism 17, and the gear 2 is located at the end away from the load application mechanism 17. The gear 2 is installed on the cantilever section of the driven shaft 16, and the bearings of the driven shaft 16 do not need to be removed during installation and removal, making installation and removal very convenient. The gear 2 is located close to the first support 20 to prevent large bending deformation at the cantilever end of the driven shaft 16, which would increase the detection error.
[0049] The above are merely preferred embodiments of the present invention and are not intended to limit the present invention. Various modifications and variations can be made to the present invention by those skilled in the art. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of the present invention should be included within the scope of protection of the present invention.
Claims
1. A method for detecting the position of gear contact spots, characterized in that, Includes the following steps: S1. Prepare a first standard gear (1). The first standard gear (1) is used to simulate the meshing gear when the gear (2) under test is working. Each tooth of the first standard gear (1) is provided with an axially extending mounting hole (3). A strain detection sensor (4) is provided in the mounting hole (3). S2. Make the gear under test (2) mesh with the first standard gear (1), apply a simulated load to the gear under test (2), the simulated load is consistent with the actual load during operation, and at the same time drive the gear under test (2) to rotate, the speed is consistent with the actual speed during operation; use the strain detection sensor (4) to detect the distribution of the first elastic deformation generated by the wall of the mounting hole (3) during rotation; S3. Determine the first position of the contact spot between the first standard gear (1) and the gear under test (2) based on the first elastic deformation distribution.
2. The gear contact spot position detection method as described in claim 1, characterized in that, In step S1, a second standard gear (5) is prepared, and the dimensions of the second standard gear (5) are consistent with the design dimensions of the gear (2) being tested; Before step S2, the second standard gear (5) meshes with the first standard gear (1), and a simulated load is applied to the second standard gear (5). The simulated load is consistent with the actual load when the gear under test (2) is working. At the same time, the second standard gear (5) is driven to rotate, and the rotation speed is consistent with the actual rotation speed when the gear under test (2) is working. The distribution of the second elastic deformation generated by the hole wall of the mounting hole (3) during the rotation is detected by the strain detection sensor (4). In step S3, the second position of the contact spot between the second standard gear (5) and the first standard gear (1) is calculated, the error between the second position and the ideal spot position is calculated, and then the first position is corrected according to the error.
3. The gear contact spot position detection method as described in claim 1 or 2, characterized in that, The mounting hole (3) includes a first mounting hole (31) located at the tooth tip and a second mounting hole (32) located at the tooth root. The distance from the first mounting hole (31) to the tooth tip surface is 2-2.5 mm, and the distance from the second mounting hole (32) to the tooth root surface is 2-2.5 mm. The strain detection sensor (4) in the first mounting hole (31) is a first fiber optic grating sensor, and the strain detection sensor (4) in the second mounting hole (32) is a second fiber optic grating sensor.
4. The gear contact spot position detection method as described in claim 3, characterized in that, The first fiber grating sensor and the second fiber grating sensor have M gratings written along the length direction, 10≥M≥5, and the first standard gear (1) has M measurement points on the axial direction of each tooth, with each grating corresponding to one measurement point; The process of calculating the location of the contact spot includes: Calculate the overall strain intensity Si at each measurement point: Yes= εi top + εi root , Where, εi top Let εi be the strain value of the first fiber Bragg grating sensor at measurement point i. root The strain value of the second fiber Bragg grating sensor at measurement point i; Calculate the location of the axial contact center (Caxial): Caxial= ; Calculate the strain ratio R at the axial contact center: R=e Caxial top / e Caxial root , Where, ε Caxial top ε is the strain value of the first fiber Bragg grating sensor at the axial contact center. Caxial root This represents the strain value of the second fiber Bragg grating sensor at the axial contact center. The distance from the contact spot to the tooth tip is calculated using a calibration function.
5. The gear contact spot position detection method as described in claim 4, characterized in that, The calibration function is: h = a*R³ + b*R² + c*R + d Where h is the distance from the contact spot to the tooth tip; a, b, c, and d are coefficients determined through calibration experiments.
6. The gear contact spot position detection method as described in claim 2, characterized in that, Step S2 is performed on a test bench, which includes a horizontal support platform (11), a fixed frame (12) and a slide (13) on the support platform (11), a drive shaft (14) on the fixed frame (12), a drive mechanism (15) connected to one end of the drive shaft (14), and a first standard gear (1) on the drive shaft (14); a driven shaft (16) parallel to the drive shaft (14) is provided on the slide (13), the second standard gear (5) and the gear under test (2) are both installed on the driven shaft (16), and a load application mechanism (17) is provided at one end of the driven shaft (16); the slide (13) is slidably engaged with the support platform (11), and the slide (13) is connected to an adjustment mechanism (18) that drives the slide (13) to move so that the second standard gear (5) and the gear under test (2) mesh with the first standard gear (1) in sequence.
7. The gear contact spot position detection method as described in claim 6, characterized in that, The load application mechanism (17) is a magnetic powder brake.
8. The gear contact spot position detection method as described in claim 6, characterized in that, The first standard gear (1) is integrally formed with the drive shaft (14); the second standard gear (5) is integrally formed with the driven shaft (16).
9. The gear contact spot position detection method as described in claim 6, characterized in that, The slide (13) is provided with a first stand (20) and a second stand (21). The two ends of the driven shaft (16) pass through the first stand (20) and the second stand (21) respectively and are installed on the first stand (20) and the second stand (21) through bearings. The gear under test (2), the first stand (20), the second stand (21) and the second standard gear (5) are arranged sequentially along the axial direction of the driven shaft (16).