Correction method for code gear error in gear double-sided meshing measurement and application

Abstract

The invention discloses a method for correcting a code gear error in gear double-sided meshing measurement and application, and the method comprises the steps: firstly adjusting a code gear and a product gear on a double-sided meshing measurement instrument to enable the code gear and the product gear to be meshed, and marking tooth spaces and teeth of the two gears in sequence; two gears are rotated in a double-face meshing mode, and a center distance data set during meshing is collected; the code gear staggered teeth and the product gear returning to the initial position are subjected to double-face meshing rotation again, and the center distance data set is obtained again; and obtaining an error correction value curve of the code gear according to the two groups of center distance data sets, and carrying out linear superposition on the double-meshing comprehensive deviation curve and the error correction value curve at the same phase to obtain a radial comprehensive deviation value of the product gear after the code gear error is corrected. According to the invention, the measurement precision and repeatability of double-sided meshing measurement are improved, and the influence of the self error of the code gear on the measurement is eliminated.

Description

Technical Field

[0001] The invention belongs to the field of precision measurement technology and instrument technology, and relates to a method for correcting a gear error in double-sided meshing measurement of gears and its application. Background Art

[0002] With the development of society and the advancement of technology, the application of automotive gears and people's livelihood gears is increasing, and the requirements of transmission systems for gear manufacturing quality are also constantly increasing. The double-sided meshing measurement method of gears has the advantages of simple principle, high measurement efficiency, and strong environmental adaptability, and has been more and more widely used. Double-sided meshing of gears refers to the state in which the tooth surfaces on the left and right sides of the two gears are simultaneously engaged. There are two main factors that affect the measurement accuracy of double-sided meshing of gears: one is the accuracy of the measuring instrument, and the other is the accuracy of the code gear. Among them, the latter has a greater impact. The error of the code gear directly affects the measurement results of the double-sided meshing measuring instrument, which will cause the repeatability of the measurement results to deteriorate. If the error of the code gear can be eliminated, the accuracy of the double-sided meshing measurement can be effectively improved.

[0003] The patent with application number 201610888031.4 discloses a double-sided meshing measuring instrument for gears and a method for eliminating the error introduced by the standard gear used therein. A specific tooth of a conjugate calibration gear is used to calibrate all the tooth grooves of the code gear, thereby achieving the effect of compensating for the code gear error in the double-meshing measurement result. However, this method requires pulling the two gears apart and staggering the teeth multiple times so that all the code gear tooth grooves are meshed with the specific teeth of the product gear in turn. In actual operation, this method has many steps and low efficiency, and only obtains the error correction value of one phase of each tooth groove of the code gear, which is not sufficiently matched with the actual double-sided meshing measurement process (in the double-sided meshing measurement, multiple center distance data will be obtained within a pitch angle phase interval of the product gear), and the error compensation effect obtained is limited. Summary of the invention

[0004] In view of this, in order to solve the deficiencies of the above-mentioned prior art, the purpose of the present invention is to provide a method for correcting the error of a special gear in double-sided meshing measurement of gears, as well as further improvement methods and applications of the method. The method for correcting the error of a special gear in double-sided meshing measurement of gears proposed in the present invention can improve the efficiency of the error compensation of the special gear through a few times of misaligned teeth and continuous measurements, and improve the correction effect through a multi-point correction method of the special gear error.

[0005] To achieve the above purpose, the technical solution adopted by the present invention is: A method for correcting a gear error in double-sided meshing measurement of a gear, the method comprising the following steps: Step 1: Install the MOT gear and the product gear on the double-sided meshing measuring instrument, one is the active gear and the other is the passive gear, then adjust the instrument so that a certain tooth of one of the active gear and the passive gear meshes with a certain tooth groove of the other gear, mark the teeth and tooth grooves of the two gears in sequence, and the current position is called the initial position of the active gear and the passive gear; Step 2: Make the matte gear and the product gear double-sidedly mesh and rotate. Every time the matte gear rotates through a pitch angle, the double-sided meshing measuring instrument reads the center distance between the matte gear and the product gear given by the grating sensor until the center distance data set when each gear tooth of the matte gear meshes with the product gear is obtained; Step 3: Return the Mate gear and the product gear to their initial positions in step 1, separate the two gears, drive the Mate gear to rotate one or more teeth, and then reduce the center distance between the two gears to make them enter a double-sided meshing state, and repeat step 2 to obtain the second set of center distance data sets; Step 4: Based on the two sets of center distance data sets recorded in steps 2 and 3, the radial runout error values ​​of all gear teeth of the MOT gear can be obtained. After interpolating these error values, the correction value curve of the MOT gear error can be obtained; Step 5: Linearly superimpose the double-meshing comprehensive deviation curve obtained by measuring the product gear with the double-sided meshing measuring instrument and the code gear error correction value curve obtained in step 4 at the same phase to obtain the radial comprehensive deviation value of the product gear after correcting the code gear error.

[0006] Furthermore, in the above correction method, when the first tooth groove of the matte gear meshes with the first tooth of the product gear in step one, and the two gears are separated in step three, the matte gear is driven to rotate one tooth in the double-sided meshing rotation direction, the radial runout error values ​​of all teeth of the matte gear are obtained according to the two sets of center distance data sets in step four, including the following steps, and the solution steps for other cases are similar to this step: Step 41: Record the first set of center distance data sets obtained in step 2 as a 11 、a 22 、a 33 …, where the letter a indicates that the data is the first center distance data, the first subscript indicates the serial number of the product gear tooth, and the second subscript indicates the serial number of the tooth groove of the matte gear; The second set of center distance data sets obtained in step 3 is recorded as b 12 , b 23 , b 34 …, where the letter b indicates that the data is the second center distance data, the first subscript indicates the serial number of the product gear tooth, and the second subscript indicates the serial number of the tooth groove of the MOT gear; Step 42: From the first set of center distance data set a 11and b in the second set of center distance data sets 12 You can get: The relative error between the second tooth groove and the first tooth groove of the MOT gear is: Δ 12 =a 11 -b 12 ; The relative error between the third tooth groove and the second tooth groove of the MOT gear is: Δ 23 =a 22 -b 23 ; Similarly, find the difference between the center distance data when the same teeth of the product gear but different tooth grooves of the MOT gear are meshed, so as to find the relative error between different tooth grooves of the MOT gear: Δ 12 , Δ 23 , Δ 34 …; Step 43: By Δ 12 , Δ 23 The error value between the third tooth groove and the first tooth groove of the Matt gear can be obtained: Δ 13 =Δ 12 +Δ 23 ; By analogy, the relative error between a tooth groove (tooth groove No. S) of the MOT gear and all other tooth grooves of the MOT gear can be obtained: Δ S1 , Δ S2 , Δ S3 …; These relative error values ​​are the error correction values ​​of each tooth groove of the MOT gear.

[0007] A multi-point correction method for gear errors in double-sided meshing measurement of gears, the method comprising the following steps: Step 1: Install the MOT gear and the product gear on the double-sided meshing measuring instrument, one is the active gear and the other is the passive gear, then adjust the instrument so that a certain tooth of one of the active gear and the passive gear meshes with a certain tooth groove of the other gear, mark the teeth and tooth grooves of the two gears in sequence, and the current position is called the initial position of the active gear and the passive gear; Step 2: Make the matte gear and the product gear rotate in double-sided meshing. During the double-sided meshing rotation process, the double-sided meshing measuring instrument reads the center distance between the matte gear and the product gear given by the grating sensor multiple times within a pitch angle range until a center distance data set when each gear tooth of the matte gear meshes with the product gear is obtained; Step 3: Return the Mate gear and the product gear to their initial positions in step 1, separate the two gears, drive the Mate gear to rotate one or more teeth, and then reduce the center distance between the two gears to make them enter a double-sided meshing state, and repeat step 2 to obtain the second set of center distance data sets; Step 4: Based on the two sets of center distance data sets recorded in steps 2 and 3, the radial runout error values ​​of all gear teeth of the MOT gear can be obtained. After grouping and interpolating these radial runout error values, multiple correction value curves of the MOT gear error can be obtained; Step 5: Fit multiple correction value curves of the MGT gear error to obtain a fitted correction value curve, linearly superimpose the double-meshing comprehensive deviation curve obtained by measuring the product gear with the double-sided meshing measuring instrument and the fitted MGT gear error correction value curve at the same phase to obtain the radial comprehensive deviation value of the product gear after correcting the MGT gear error.

[0008] Furthermore, in step five of the above-mentioned multi-point correction method, the method for fitting multiple correction value curves of the error of the matte gear can be a combination of any one or more mathematical methods such as averaging, least squares fitting, polynomial fitting, etc.

[0009] Furthermore, in the above-mentioned correction method or multi-point correction method, a method for reducing error accumulation when the number of teeth of the code gear is large, after recording the two sets of center distance data sets obtained in step two and step three, repeat step two and step three once or multiple times to obtain one or more sets of center distance data sets, and solve the correction value of the code gear error based on all center distance data sets.

[0010] Application of the method for correcting the error of a special gear in double-sided meshing measurement of gears. The method for correcting the error of a special gear in double-sided meshing measurement of gears as described above is applied to the gear radial comprehensive error measurement equipment to correct the error of the special gear.

[0011] The application of the multi-point correction method of the error of the special gear in the double-sided meshing measurement of gears is applied to the gear radial comprehensive error measurement equipment to correct the error of the special gear.

[0012] The beneficial effects of the present invention are: The technical solution proposed by the present invention can realize the correction of the error of the special gear in the double-sided meshing measurement, and the beneficial effects are: The present invention can improve the measurement accuracy and repeatability of double-sided meshing measurement of gears by correcting the error of the matte gear in double-sided meshing measurement, and eliminate the influence of the error of the matte gear itself on the measurement; The present invention does not need to repeatedly pull apart the center distance and misalign the teeth as in the existing gear error correction method, but only needs to perform a few misalignments, and the error correction efficiency will be higher; The present invention can produce a better error correction effect on the double-sided meshing measurement result by selecting a pitch angle phase position of the matte gear for multi-point error correction during the rotation measurement process. BRIEF DESCRIPTION OF THE DRAWINGS

[0013] In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings required for use in the embodiments or the description of the prior art will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying creative work.

[0014] Figure 1 This is a schematic diagram of the marking serial numbers of the special gears and product gears; Figure 2 It is a flow chart of a method for correcting the error of a special gear in double-sided meshing measurement of gears; Figure 3 It is a flow chart of a multi-point correction method for gear errors in double-sided meshing measurement of gears; Figure 4 It is a flow chart of obtaining the radial runout error value of the matt gear according to the center distance data set when the initial position in step 1 is the meshing of the tooth groove of the matt gear with the tooth of the product gear; Figure 5 A correction value curve diagram of a correction method for a gear double-sided meshing measurement in Example 1; Figure 6 Schematic diagram of correction value curve fitting effect of a multi-point correction method for error of a gear in double-sided meshing measurement in Example 2; Figure 7 Schematic diagram of the correction value curve fitting effect of a method for eliminating cumulative errors in Example 2. DETAILED DESCRIPTION

[0015] The following specific examples are given to further clearly, completely and in detail illustrate the technical solution of the present invention. This example is the best example based on the technical solution of the present invention, but the protection scope of the present invention is not limited to the following examples.

[0016] Example 1 like Figure 1 As shown, in this embodiment, the spur gear pair is a code gear with 19 teeth and a product gear with 20 teeth.

[0017] Based on the above description, the present invention proposes a method for correcting the error of a gear in double-sided meshing measurement of a gear, which method comprises the following steps: Step 1: Install the matt gear and the product gear on the double-sided meshing measuring instrument. One of the matt gear and the product gear is the driving gear and the other is the passive gear. Then adjust the instrument so that a certain tooth of one of the driving gear and the passive gear meshes with a certain tooth groove of the other. The current position is called the initial position of the driving gear and the passive gear.

[0018] Further, the active and passive relationship between the code gear and the product gear can be swapped. As an option, in this embodiment: The matt gear is used as the passive gear and the product gear is used as the active gear. The instrument is adjusted so that a tooth groove in the matt gear meshes with a tooth in the product gear. The tooth groove that is meshed at this time is recorded as the No. 1 tooth groove of the Mater gear, and the tooth that is meshed at this time is the No. 1 tooth of the product gear, such as Figure 1 As shown; the other tooth grooves of the MOT gear and the other teeth of the product gear are also numbered in the meshing order, from the 1st tooth groove to the 19th tooth groove, and from the 1st tooth to the 20th tooth.

[0019] Step 2: Driven by the product gear, the matte gear rotates one circle. During the double-sided meshing rotation process, every time the matte gear rotates through a pitch angle, the gear double-sided meshing measuring instrument reads the center distance between the matte gear and the product gear given by the grating sensor, thereby obtaining the center distance data set when each tooth groove of the matte gear meshes with the corresponding tooth of the product gear, as shown in the "first set of center distance data set" in Table 1.

[0020] Step 3: Driven by the product gear, the MGT gear is rotated by a pitch angle in the double-sided meshing rotation direction to separate the two gears, and the product gear is driven back to the initial phase position before the double-sided meshing. The center distance of the two gears is then reduced to make it enter a double-meshing state, so that the second tooth groove of the MGT gear is meshed with the first tooth of the product gear. Repeat step 2 to obtain the center distance data set after the MGT gear rotates one circle again, as shown in the "Second set of center distance data set" in Table 1.

[0021] Step 4: Based on the two sets of center distance data sets recorded in steps 2 and 3, the radial runout error values ​​of all tooth grooves of the MOT gear can be obtained. After interpolating these error values, the correction value curve of the MOT gear error can be obtained, such as Figure 5 shown.

[0022] Step 5: Linearly superimpose the double-meshing comprehensive deviation curve obtained by measuring the product gear with the double-sided meshing measuring instrument and the code gear error correction value curve obtained in step 4 at the same phase to obtain the radial comprehensive deviation value of the product gear after correcting the code gear error. Table 1

[0023] Furthermore, in this embodiment, the active and passive relationships of the matte gear and the product gear are swapped, which can also be understood as: In step one, the matt gear and the product gear are mounted on a double-sided meshing measuring instrument. In the above correction method, the matt gear is a passive gear and the product gear is a driving gear, or the matt gear is a driving gear and the product gear is a passive gear.

[0024] As an option, in step 1, a certain tooth of the code gear can be meshed with a certain tooth groove of the product gear, and the teeth of the code gear and the tooth groove of the product gear can be numbered.

[0025] As an option, in step 1, a tooth groove of the matt gear can be meshed with a tooth of the product gear, and the tooth groove of the matt gear and the tooth of the product gear can be numbered.

[0026] Further, in the method for correcting the error of a matte gear in the double-sided meshing measurement of a gear in the above embodiment, the step 4 of obtaining the radial runout error value of all teeth of the matte gear according to the two sets of center distance data sets includes the following steps: Step 41: As shown in Table 1, the first set of center distance data sets obtained in step 2 is recorded as a 11 、a 22 、a 33 、a 44 …, where the letter a indicates that the data is the first center distance data, the first subscript indicates the serial number of the product gear tooth, and the second subscript indicates the serial number of the tooth groove of the matte gear; the second set of center distance data sets obtained in step 3 is recorded as b 12 , b 23 , b 34 , b 45 …, where the letter b indicates that the data is the second center distance data, the first subscript indicates the serial number of the product gear tooth, and the second subscript indicates the serial number of the tooth groove of the MOT gear; Step 42: From the first set of center distance data set a 11 and b in the second set of center distance data sets 12 It can be obtained that: the relative error value Δ between the first tooth groove and the second tooth groove of the matte gear 12＝ a 11 -b 12, the relative error value Δ between the 2nd and 3rd tooth grooves of the MOT gear 23＝ a 22 -b 23 By analogy, find the difference between the center distance data when the same teeth of the product gear but different tooth grooves of the MOT gear are meshed, so as to find the relative error between different tooth grooves of the MOT gear: Δ 12 , Δ 23 , Δ 34 …, as shown in the “obtained relative error set” in Table 1; Step 43: By Δ 12 , Δ 23 The error value Δ between the 3rd tooth groove and the 1st tooth groove of the matt gear can be obtained 13 =Δ 12+ Δ 23 ; By analogy, we can get the relative error between the first tooth groove of the MOT gear and all other tooth grooves of the MOT gear: Δ 12 , Δ 13 , Δ 14 …; These relative error values ​​are the correction values ​​of each tooth groove of the MATE gear in the error correction method, as shown in the “correction values” in Table 1.

[0027] Furthermore, in the above-mentioned method for correcting the error of the matte gear, when the number of teeth of the matte gear is large, in order to reduce the error accumulation, a method for reducing the error accumulation when the number of teeth of the matte gear is large is proposed. After recording the two sets of center distance data sets obtained in step 2 and step 3, step 2 and step 3 are repeated once or multiple times to obtain one or more sets of center distance data sets, and the correction value of the matte gear error is solved based on all center distance data sets. A preferred solution for the method of reducing error accumulation: After completing the second double-sided meshing measurement in step 3, starting from the No. 1 tooth groove of the MOT gear, the measurement in step 2 is repeated by meshing every m tooth grooves of the MOT gear with the No. 1 tooth of the product gear; The m value is initially selected as Z2 / n, where Z2 is the number of teeth of the matte gear and n is an integer greater than or equal to 2. When the number of teeth of the matte gear and the product gear is a multiple relationship, adjustments should be made nearby so that the selected m value can achieve misalignment measurement; After measuring n-1 times, plus the two measurements in step 2 and step 3, a total of n+1 center distance data sets of double-sided meshing measurements are obtained. The correction value of the error of the MOT gear is solved based on the data sets obtained from all double-sided meshing measurements.

[0028] Application of the method for correcting the error of a special gear in double-sided meshing measurement of gears. The method for correcting the error of a special gear in double-sided meshing measurement of gears as described above is applied to the gear radial comprehensive error measurement equipment to correct the error of the special gear.

[0029] Example 2 In order to improve the error compensation effect of the matte gear, the following method is proposed based on a method for error correction of the matte gear in double-sided meshing measurement of gears. Figure 1 As shown, the spur gear pair in this embodiment is a code gear with 19 teeth and a product gear with 20 teeth.

[0030] A multi-point correction method for gear errors in double-sided meshing measurement of gears, the method comprising the following steps: Step 1: Install the matt gear and the product gear on the double-sided meshing measuring instrument. One of the matt gear and the product gear is the driving gear and the other is the passive gear. Then adjust the instrument so that a certain tooth of one of the driving gear and the passive gear meshes with a certain tooth groove of the other. The current position is called the initial position of the driving gear and the passive gear. The active and passive relationship between the code gear and the product gear can be reversed. As an option, in this embodiment: The matt gear is the passive gear, the product gear is the active gear, adjust the instrument so that a tooth groove in the matt gear meshes with a tooth on the product gear; record the meshed tooth groove as the No. 1 tooth groove of the matt gear, and the meshed tooth as the No. 1 tooth on the product gear, such as Figure 1 As shown; the other tooth grooves of the MOT gear and the other teeth of the product gear are also numbered in the meshing order, from the 1st tooth groove to the 19th tooth groove, and from the 1st tooth to the 20th tooth; Step 2: Driven by the product gear, the matte gear rotates one circle. During the double-sided meshing rotation process, the gear double-sided meshing measuring instrument reads the center distance between the matte gear and the product gear given by the grating sensor multiple times within a pitch angle range to obtain the center distance data set when each tooth groove of the matte gear meshes with the corresponding teeth of the product gear. Each tooth groove meshing position corresponds to 3 sampling data, such as Figure 6 As shown; Step 3: Driven by the product gear, the MGT gear is rotated by a pitch angle in the double-sided meshing rotation direction, the two gears are separated, and the product gear is driven to the initial phase position before the double-sided meshing rotation. Then, the center distance of the two gears is reduced to make it enter a double-meshing state, so that the second tooth groove of the MGT gear is meshed with the first tooth of the product gear. Repeat step 2 to obtain the center distance data set after the MGT gear rotates one circle again; Step 4: Based on the two sets of center distance data sets recorded in steps 2 and 3, the radial runout error values ​​of all tooth grooves of the MOT gear can be obtained. These error values ​​are grouped according to the order of the sampling order in the tooth groove meshing position. After interpolation of the grouped radial runout error values, three correction value curves of the MOT gear error are obtained, as shown in Figure 4. Figure 6 As shown; Step 5: Perform polynomial fitting on multiple correction value curves of the gear error to obtain a fitted correction value curve, such as Figure 6 The double meshing comprehensive deviation curve obtained by measuring the product gear with the double-sided meshing measuring instrument and the fitted MATE gear error correction value curve are linearly superimposed at the same phase to obtain the radial comprehensive deviation value of the product gear after the MATE gear error is corrected.

[0031] Furthermore, in this embodiment, the active and passive relationships of the matte gear and the product gear are swapped, which can also be understood as: In step one, the matt gear and the product gear are mounted on a double-sided meshing measuring instrument. In the above multi-point correction method, the matt gear is a passive gear and the product gear is a driving gear, or the matt gear is a driving gear and the product gear is a passive gear.

[0032] Furthermore, in the step 1, a certain tooth of the code gear can be meshed with a certain tooth groove of the product gear, and the teeth of the code gear and the tooth groove of the product gear can be numbered.

[0033] Furthermore, in the step 1, a tooth groove of the matt gear can be meshed with a tooth of the product gear, and the tooth groove of the matt gear and the tooth of the product gear can be numbered.

[0034] Furthermore, the solution of obtaining the correction value according to the two sets of center distance data sets described in step 4 of the above method includes the following steps: Step 41: Record the first set of center distance data sets obtained in step 2 as Among them, the letter a indicates that the data is the first center distance data, the first subscript indicates the serial number of the product gear tooth, the second subscript indicates the serial number of the special gear tooth, and the superscript indicates the serial number of the sampling point when this tooth of the product gear meshes with this tooth of the special gear; The second set of center distance data sets obtained in step 3 is recorded as Among them, the letter b indicates that the data is the second center distance data, the first subscript indicates the serial number of the product gear tooth, the second subscript indicates the serial number of the special gear tooth, and the superscript indicates the serial number of the sampling point when this tooth of the product gear meshes with this tooth of the special gear; Step 42: From the first set of center distance data set a 1 11 、a 2 11 、a 3 1 and b in the second set of center distance data sets 1 12 , b2 12 , b 3 1 can get: The relative error value set between the No. 1 tooth groove and the No. 2 tooth groove of the Matt gear is Similarly, find the difference between the center distance data when the same teeth of the product gear but different tooth grooves of the special gear are meshed, so as to find the relative error set Δ between the different tooth grooves of the special gear. 12 , Δ 23 , Δ 34 …; Step 43: From the relative error set Δ 12 , Δ 23 The error value set between the 3rd tooth groove and the 1st tooth groove of the matt gear can be obtained By analogy, we can get the relative error set between the first tooth groove of the MOT gear and all other tooth grooves of the MOT gear: Δ 12 , Δ 13 , Δ 14 …; The relative error values ​​in these sets are the correction values ​​of each tooth groove of the matte gear in the error correction method.

[0035] Furthermore, in the multi-point error correction method, when the number of teeth of the code gear is large, in order to reduce the error accumulation, a method for reducing the error accumulation when the number of teeth of the code gear is large is proposed. After recording the two sets of center distance data sets obtained in step 2 and step 3, step 2 and step 3 are repeated once or multiple times to obtain one or more sets of center distance data sets, and the correction value of the code gear error is solved based on all center distance data sets. A preferred solution for the method of reducing error accumulation: After completing the second double-sided meshing measurement in step 3, start from the No. 1 tooth groove of the MOT gear and use every m tooth grooves of the MOT gear to mesh with the No. 1 tooth of the product gear for measurement; Among them, the value of m is initially selected as Z2 / n, which can be adjusted nearby, Z2 is the number of teeth of the code gear, and n is an integer greater than or equal to 2; After measuring n-1 times, plus the two measurements in step 2 and step 3, a total of n+1 center distance data sets of double-sided meshing measurements are obtained. The correction value of the error of the MOT gear is solved based on the data sets obtained from all double-sided meshing measurements.

[0036] The solution method is the same as the above embodiment, and the experimental results are as follows: Figure 7 As shown, another correction value curve is obtained at the same phase by measuring at intervals of 9 tooth slots, and the two correction value curves are fitted to obtain the final correction value curve.

[0037] It is worth noting that starting the measurement from multiple positions evenly distributed on the circumference of the gear has the best effect on reducing error accumulation, but the selection of m can be adjusted according to the principle of convenience and simplicity. Selecting a suitable m value to make the measurement positions uneven can also reduce the error accumulation. However, when the number of teeth of the special gear and the product gear is a multiple relationship, it should be noted that the selected m value must enable the measurement to effectively achieve misaligned tooth measurement. For example, when Z1 has 50 teeth and Z2 has 100 teeth, the initial value of m is 50, which cannot achieve misaligned tooth measurement; the m value should be adjusted, for example, to 49, to achieve effective misaligned tooth measurement.

[0038] Furthermore, the action of "under the drive of the product gear, rotating the matte gear by one pitch angle in the double-sided meshing rotation direction" in step three of the multi-point error correction method can be implemented in step two, that is, in step two, the matte gear is rotated by one more pitch angle after rotating one circle in double-sided meshing, so as to improve the efficiency of implementing the error correction method.

[0039] Furthermore, in step five of the multi-point correction method for the error of the matte gear in the double-sided meshing measurement of gears, multiple correction value curves of the matte gear error are fitted, and mathematical methods such as averaging, least squares fitting, and polynomial fitting can be used for fitting to improve the compensation effect of the correction value on the matte gear error.

[0040] The application of the multi-point correction method of the error of the special gear in the double-sided meshing measurement of gears is applied to the gear radial comprehensive error measurement equipment to correct the error of the special gear.

[0041] The above shows and describes the main features, basic principles and advantages of the present invention. It should be understood by those skilled in the art that the present invention is not limited by the above embodiments. The above embodiments and descriptions are only for explaining the principles of the present invention. Without departing from the spirit and scope of the present invention, the present invention may have various changes and improvements according to actual conditions, and these changes and improvements fall within the scope of the present invention to be protected. The scope of protection of the present invention is defined by the attached claims and their equivalents.

Claims

1. A method for correcting the error of a special gear in double-sided meshing measurement of gears, characterized in that: The method consists of the following steps: Step 1: Install the MOT gear and the product gear on the double-sided meshing measuring instrument, one is the active gear and the other is the passive gear, then adjust the instrument so that a certain tooth of one of the active gear and the passive gear meshes with a certain tooth groove of the other gear, mark the teeth and tooth grooves of the two gears in sequence, and the current position is called the initial position of the active gear and the passive gear; Step 2: Make the matte gear and the product gear double-sidedly mesh and rotate. Every time the matte gear rotates through a pitch angle, the double-sided meshing measuring instrument reads the center distance between the matte gear and the product gear given by the grating sensor until the center distance data set when each gear tooth of the matte gear meshes with the product gear is obtained; Step 3: Return the Mate gear and the product gear to their initial positions in step 1, separate the two gears, drive the Mate gear to rotate one or more teeth, and then reduce the center distance between the two gears to make them enter a double-sided meshing state, and repeat step 2 to obtain the second set of center distance data sets; Step 4: Based on the two sets of center distance data sets recorded in steps 2 and 3, the radial runout error values ​​of all gear teeth of the MOT gear can be obtained. After interpolating these error values, the correction value curve of the MOT gear error can be obtained; Step 5: Linearly superimpose the double-meshing comprehensive deviation curve obtained by measuring the product gear with the double-sided meshing measuring instrument and the code gear error correction value curve obtained in step 4 at the same phase to obtain the radial comprehensive deviation value of the product gear after correcting the code gear error.

2. The method for correcting the error of a gear in double-sided meshing measurement of a gear according to claim 1, characterized in that: When the first tooth groove of the matt gear meshes with the first tooth of the product gear in step 1, the radial runout error values ​​of all teeth of the matt gear are obtained according to the two sets of center distance data sets in step 4, including the following steps: Step 41: Record the first set of center distance data sets obtained in step 2 as a 11 、a 22 、a 33 …, where the letter a indicates that the data is the first center distance data, the first subscript indicates the serial number of the product gear tooth, and the second subscript indicates the serial number of the tooth groove of the matte gear; the second set of center distance data sets obtained in step 3 is recorded as b 12 , b 23 , b 34 …, where the letter b indicates that the data is the second center distance data, the first subscript indicates the serial number of the product gear tooth, and the second subscript indicates the serial number of the tooth groove of the MOT gear; Step 42: From the first set of center distance data set a 11 and b in the second set of center distance data sets 12 You can get: The relative error between the second tooth groove and the first tooth groove of the MOT gear is: D 12 =a 11 -b 12 ; The relative error between the third tooth groove and the second tooth groove of the MOT gear is: D 23 =a 22 -b 23 ; Similarly, find the difference between the center distance data when the same teeth of the product gear but different tooth grooves of the MOT gear are meshed, so as to find the relative error between the different tooth grooves of the MOT gear: Δ 12 , Δ 23 , Δ 34 …; Step 43: By Δ 12 , Δ 23 The error value between the third tooth groove and the first tooth groove of the Matt gear can be obtained: D 13 =D 12 +D 23 ; By analogy, the relative error between a tooth groove of the MOT gear and all other tooth grooves of the MOT gear can be obtained: Δ S1 , Δ S2 , Δ S3 …; These relative error values ​​are the error correction values ​​of each tooth groove of the MOT gear.

3. A multi-point correction method for gear errors in double-sided meshing measurement of gears, characterized in that: The method consists of the following steps: Step 1: Install the MOT gear and the product gear on the double-sided meshing measuring instrument, one is the active gear and the other is the passive gear, then adjust the instrument so that a certain tooth of one of the active gear and the passive gear meshes with a certain tooth groove of the other gear, mark the teeth and tooth grooves of the two gears in sequence, and the current position is called the initial position of the active gear and the passive gear; Step 2: Make the matte gear and the product gear rotate in double-sided meshing. During the double-sided meshing rotation process, the double-sided meshing measuring instrument reads the center distance between the matte gear and the product gear given by the grating sensor multiple times within a pitch angle range until a center distance data set when each gear tooth of the matte gear meshes with the product gear is obtained; Step 3: Return the Mate gear and the product gear to their initial positions in step 1, separate the two gears, drive the Mate gear to rotate one or more teeth, and then reduce the center distance between the two gears to make them enter a double-sided meshing state, and repeat step 2 to obtain the second set of center distance data sets; Step 4: Based on the two sets of center distance data sets recorded in steps 2 and 3, the radial runout error values ​​of all gear teeth of the MOT gear can be obtained. After grouping and interpolating these radial runout error values, multiple correction value curves of the MOT gear error can be obtained; Step 5: Fit multiple correction value curves of the MGT gear error to obtain a fitted correction value curve, linearly superimpose the double-meshing comprehensive deviation curve obtained by measuring the product gear with the double-sided meshing measuring instrument and the fitted MGT gear error correction value curve at the same phase to obtain the radial comprehensive deviation value of the product gear after correcting the MGT gear error.

4. The multi-point correction method for the error of a special gear in double-sided meshing measurement of a gear according to claim 3 is characterized in that: In the step 5, the method for fitting the multiple correction value curves of the error of the matte gear is any one or more combinations of mathematical methods including averaging, least squares fitting, and polynomial fitting.

5. A multi-point correction method for gear errors in double-sided meshing measurement of gears according to any one of claims 3 to 4, characterized in that: When the number of teeth of the code gear is large, in order to reduce the error accumulation, after recording the two sets of center distance data sets obtained in step two and step three, repeat step two and step three once or multiple times to obtain one or more sets of center distance data sets, and solve the correction value of the code gear error based on all center distance data sets.

6. Application of the method according to any one of claims 1-2 in a gear radial comprehensive error measuring device.

7. Application of the method according to any one of claims 3 to 5 in a gear radial comprehensive error measuring device.

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