A correction method for gear errors in double-flank meshing measurement and its application

Abstract

The present invention discloses a method and application for correcting the error of a special gear in double-flank meshing measurement of gears. The method first adjusts the special gear and the product gear on a double-flank meshing measuring instrument so that the two are meshed, and the tooth grooves and teeth of the two gears are marked in sequence; the two gears are rotated in double-flank meshing, and a center distance data set is collected during meshing; the special gear is rotated again in double-flank meshing with the product gear returned to its initial position, and a center distance data set is obtained again; an error correction value curve for the special gear is obtained based on the two sets of center distance data sets, and the double-flank meshing comprehensive deviation curve and the error correction value curve are linearly superimposed at the same phase to obtain the radial comprehensive deviation value of the product gear after the special gear error is corrected. The present invention improves the measurement accuracy and repeatability of double-flank meshing measurement and eliminates the influence of the special gear's own error on the measurement.

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-flank meshing measurement of gears and its application. Background Art

[0002] With social development and technological advancement, the application of automotive and consumer gears is increasing, and the requirements for gear manufacturing quality in transmission systems are also constantly increasing. The double-flank meshing measurement method for gears has the advantages of simple principle, high measurement efficiency, and strong environmental adaptability, and has become increasingly widely used. Double-flank meshing refers to the state in which the left and right tooth surfaces of two gears are simultaneously engaged. There are two main factors that affect the accuracy of double-flank meshing measurement of gears: the accuracy of the measuring instrument and the accuracy of the gear. The latter has a greater impact. The error of the gear directly affects the measurement results of the double-flank meshing measuring instrument, resulting in poor repeatability of the measurement results. If the error of the gear can be eliminated, the accuracy of double-flank meshing measurement can be effectively improved.

[0003] Patent 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 a 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 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 the double-sided meshing measurement of gears, as well as a further improvement method and application of the method. The method for correcting the error of a special gear in the 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 measurement, and improve the correction effect through a multi-point correction method of the error of the special gear.

[0005] To achieve the above object, the technical solution adopted by the present invention is:

[0006] A method for correcting a gear error in double-flank meshing measurement of gears, the method comprising the following steps:

[0007] Step 1: Install the MOT gear and the product gear on the double-sided meshing measuring instrument, one as the driving gear and the other as the driven gear. Then adjust the instrument so that a tooth of one of the driving gear and the driven gear meshes with a tooth groove of the other gear. Mark the teeth and tooth grooves of the two gears in sequence. The current position is called the initial position of the driving gear and the driven gear.

[0008] Step 2: Make the MGT gear and the product gear rotate in double-sided meshing. Every time the MGT gear rotates through a pitch angle, the double-sided meshing measuring instrument reads the center distance between the MGT gear and the product gear, which is given by the grating sensor, until a data set of center distances is obtained when each tooth of the MGT gear is meshing with the product gear.

[0009] Step 3: Return the Mater gear and the product gear to their initial positions in step 1, separate the two gears, drive the Mater gear to rotate one or more teeth, 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;

[0010] 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;

[0011] 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.

[0012] Furthermore, in the above correction method, when the first tooth groove of the Mute gear is engaged with the first tooth of the product gear in step 1, and the two gears are separated in step 3, the Mute gear is driven to rotate one tooth in the double-sided meshing rotation direction, the radial runout error values ​​of all teeth of the Mute gear are obtained according to the two sets of center distance data sets in step 4, including the following steps. The solution steps for other cases are similar to this step:

[0013] Step 41: The first set of center distance data sets obtained in step 2 is recorded 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 special gear;

[0014] 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 special gear;

[0015] 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:

[0016] The relative error between the second tooth groove and the first tooth groove of the Mater gear is:

[0017] Δ 12 =a 11 -b 12 ;

[0018] The relative error between the third tooth groove and the second tooth groove of the MOT gear is:

[0019] Δ 23 =a 22 -b 23 ;

[0020] Similarly, find the difference between the center distance data when the same teeth of the product gear are engaged with different tooth grooves of the MOT gear, so as to calculate the relative error between the different tooth grooves of the MOT gear: Δ 12 , Δ 23 , Δ 34 …;

[0021] Step 43: By Δ 12 , Δ 23 The error between the third tooth groove and the first tooth groove of the Mater gear can be obtained:

[0022] Δ 13 =Δ 12 +Δ 23 ;

[0023] By analogy, we can get the relative error between a certain tooth groove (tooth groove No. S) of the MOT gear and all other tooth grooves of the MOT gear: Δ S1 , Δ S2 , Δ S3 ...; These relative error values ​​are the error correction values ​​of each tooth groove of the MOT gear.

[0024] A multi-point correction method for gear errors in double-flank meshing measurement of gears, the method comprising the following steps:

[0025] Step 1: Install the MOT gear and the product gear on the double-sided meshing measuring instrument, one as the driving gear and the other as the driven gear. Then adjust the instrument so that a tooth of one of the driving gear and the driven gear meshes with a tooth groove of the other gear. Mark the teeth and tooth grooves of the two gears in sequence. The current position is called the initial position of the driving gear and the driven gear.

[0026] Step 2: The MGT gear and the product gear are meshed and rotated on both sides. During the double-sided meshing rotation, the double-sided meshing measuring instrument reads the center distance between the MGT gear and the product gear multiple times within a pitch angle range, until a data set of center distances is obtained when each tooth of the MGT gear meshes with the product gear.

[0027] Step 3: Return the Mater gear and the product gear to their initial positions in step 1, separate the two gears, drive the Mater gear to rotate one or more teeth, 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;

[0028] 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;

[0029] Step 5: Fit multiple correction value curves of the MATE gear error to obtain a fitted correction value curve, and linearly superimpose 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 at the same phase to obtain the radial comprehensive deviation value of the product gear after correcting the MATE gear error.

[0030] 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 gear can be a combination of any one or more mathematical methods such as averaging, least squares fitting, and polynomial fitting.

[0031] 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, repeating step two and step three once or multiple times, and then obtaining one or more sets of center distance data sets, and solving the correction value of the code gear error based on all center distance data sets.

[0032] Application of the correction method for the error of the special gear in the double-flank meshing measurement of gears. The correction method for the error of the special gear in the double-flank 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.

[0033] The application of the multi-point correction method for the error of the special gear in the double-flank meshing measurement of gears is applied to the gear radial comprehensive error measurement equipment to correct the error of the special gear.

[0034] The beneficial effects of the present invention are:

[0035] The technical solution proposed by the present invention can realize the correction of the error of the special gear in the double-flank meshing measurement, and the beneficial effects are:

[0036] The present invention can improve the measurement accuracy and repeatability of double-flank meshing measurement of gears by correcting the error of the matte gear in double-flank meshing measurement, and eliminate the influence of the error of the matte gear itself on the measurement;

[0037] The present invention does not require multiple center distances and multiple tooth shifts like the existing gear error correction method, but only requires a few tooth shifts, which makes the error correction more efficient.

[0038] The present invention can produce a better error correction effect on the double-flank meshing measurement result by selecting a tooth pitch angle phase position of the matte gear for multi-point error correction during the rotation measurement process. BRIEF DESCRIPTION OF THE DRAWINGS

[0039] In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the following briefly introduces the drawings required for use in the embodiments or the description of the prior art. 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 any creative work.

[0040] Figure 1 This is a schematic diagram of the marking serial numbers of the MATE gears and product gears;

[0041] Figure 2 This is a flow chart of a method for correcting the error of a special gear in double-flank gear meshing measurement;

[0042] Figure 3 This is a flow chart of a multi-point correction method for gear errors in double-flank gear meshing measurement.

[0043] Figure 4 A flowchart of obtaining the radial runout error value of the matt gear based on 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 teeth of the product gear;

[0044] Figure 5 Schematic diagram of a correction value curve of a method for correcting a gear error in double-flank meshing measurement of gears in Example 1;

[0045] Figure 6 Schematic diagram of the correction value curve fitting effect of a multi-point correction method for a gear double-flank meshing measurement in Example 2;

[0046] Figure 7 Schematic diagram of the correction value curve fitting effect of a method for eliminating cumulative errors in Example 2. DETAILED DESCRIPTION

[0047] The following specific examples are given to further clearly, completely and in detail illustrate the technical solution of the present invention. This embodiment is the best embodiment based on the technical solution of the present invention, but the protection scope of the present invention is not limited to the following examples.

[0048] Example 1

[0049] 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.

[0050] Based on the above description, the present invention proposes a method for correcting the error of a special gear in double-flank meshing measurement of gears, which comprises the following steps:

[0051] Step 1: Install the MOT gear and the product gear on the double-sided meshing measuring instrument. One of the MOT gear and the product gear is the driving gear and the other is the passive gear. Then adjust the instrument so that a tooth of one of the driving gear and the passive gear is meshed with a tooth groove of the other. The current position is called the initial position of the driving gear and the passive gear.

[0052] Furthermore, the active and passive relationships of the code gear and the product gear can be swapped. As an option, in this embodiment:

[0053] The Mater gear acts as the passive gear and the product gear acts as the active gear. The instrument is adjusted so that a tooth groove in the Mater gear meshes with a tooth in the product gear.

[0054] The tooth groove that is meshed at this time is 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 spaces of the MOT gear and the other teeth of the product gear are also numbered in the order of meshing, from tooth space No. 1 to tooth space No. 19, and from tooth No. 1 to tooth No. 20.

[0055] Step 2: Driven by the product gear, the MGT gear rotates one circle. During the double-sided meshing rotation process, every time the MGT gear rotates through one pitch angle, the gear double-sided meshing measuring instrument reads the center distance between the MGT gear and the product gear given by the grating sensor. This obtains the center distance data set when each tooth groove of the MGT gear meshes with the corresponding tooth of the product gear, as shown in the "first set of center distance data sets" in Table 1.

[0056] 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 back to the initial phase position before double-sided meshing. The center distance between the two gears is then reduced to 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.

[0057] 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, as shown in the figure below: Figure 5 shown.

[0058] 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.

[0059] Table 1

[0060]

[0061] Furthermore, in this embodiment, the active and passive relationships of the code gear and the product gear are swapped, which can also be understood as:

[0062] In step 1, the matt gear and the product gear are installed on the double-sided meshing measuring instrument. In the above correction method, the matt gear is the passive gear and the product gear is the active gear, or the matt gear is the active gear and the product gear is the passive gear.

[0063] 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.

[0064] As an option, in step 1, a tooth groove of the code gear can be meshed with a tooth of the product gear, and the tooth groove of the code gear and the tooth of the product gear can be numbered.

[0065] Furthermore, in the method for correcting the error of a special gear in double-flank meshing measurement of a gear in the above embodiment, the step 4 of obtaining the radial runout error value of all teeth of the special gear according to the two sets of center distance data sets includes the following steps:

[0066] 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 special 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 special gear;

[0067] 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 No. 1 tooth groove and the No. 2 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 Mater gear 23＝ a 22 -b 23 Similarly, find the difference between the center distance data when the same teeth of the product gear are engaged with different tooth grooves of the special gear, so as to find the relative error between the different tooth grooves of the special gear: Δ 12 , Δ 23 , Δ 34 …, as shown in the “obtained relative error set” in Table 1;

[0068] 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 space of the MOT gear in the error correction method, as shown in the “correction values” in Table 1.

[0069] Furthermore, in the above-mentioned method for correcting the error of the matte gear, in order to reduce the error accumulation when the number of teeth of the matte gear is large, 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 steps 2 and 3, steps 2 and 3 are repeated once or multiple times to obtain one or more sets of center distance data sets. The correction value of the matte gear error is solved based on all the center distance data sets. A preferred solution for the method of reducing error accumulation:

[0070] After completing the second double-flank meshing measurement in step 3, starting from the first tooth groove of the Mute gear, repeat the measurement in step 2 by meshing every m tooth grooves of the Mute gear with the first tooth of the product gear.

[0071] The m value is initially selected as Z2 / n, where Z2 is the number of teeth on the Mater gear and n is an integer greater than or equal to 2. When the number of teeth on the Mater gear and the product gear is a multiple, adjustments should be made nearby so that the selected m value can achieve misalignment measurement.

[0072] After measuring n-1 times, plus the two measurements in steps 2 and 3, a total of n+1 center distance data sets of double-flank meshing measurements are obtained. The correction value of the MOT gear error is solved based on the data sets obtained from all double-flank meshing measurements.

[0073] Application of the correction method for the error of the special gear in the double-flank meshing measurement of gears. The correction method for the error of the special gear in the double-flank 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.

[0074] Example 2

[0075] In order to improve the error compensation effect of the special gear, the following method is proposed based on the error correction method of the special gear in the double-sided meshing measurement of the gear. 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.

[0076] A multi-point correction method for gear errors in double-flank meshing measurement of gears, the method comprising the following steps:

[0077] Step 1: Install the MOT gear and the product gear on the double-sided meshing measuring instrument. One of the MOT 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 is meshed with a certain tooth groove of the other. The current position is called the initial position of the driving gear and the passive gear.

[0078] The active and passive relationships of the Marker gear and the product gear can be reversed. As an option, in this embodiment:

[0079] The Mater gear is the passive gear and the product gear is the active gear. Adjust the instrument so that a tooth groove in the Mater gear meshes with a tooth on the product gear. Record the meshed tooth groove as the No. 1 tooth groove of the Mater gear and the meshed tooth as the No. 1 tooth on the product gear. 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 order of meshing, from tooth groove No. 1 to tooth groove No. 19, and from tooth No. 1 to tooth No. 20;

[0080] Step 2: Driven by the product gear, the MGT gear rotates one circle. During the double-flank meshing rotation process, the gear double-flank meshing measuring instrument reads the center distance between the MGT 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 MGT gear meshes with the corresponding tooth of the product gear. Each tooth groove meshing position corresponds to 3 sampling data, such as Figure 6 As shown;

[0081] Step 3: Driven by the product gear, rotate the MGT gear by a pitch angle in the double-flank meshing direction, separate the two gears, drive the product gear to the initial phase position before double-flank meshing, and then reduce the center distance between the two gears to enter a double-flank meshing state. This allows the second tooth groove of the MGT gear to mesh with the first tooth of the product gear. Repeat step 2 to obtain the center distance data set after the MGT gear rotates one more circle.

[0082] 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 within 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 below: Figure 6 As shown;

[0083] 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 "corrected value curve after fitting" is shown in the figure. The double-mesh 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 correcting the MATE gear error.

[0084] Furthermore, in this embodiment, the active and passive relationships of the special gear and the product gear are swapped, which can also be understood as:

[0085] In step 1, the matt gear and the product gear are installed on the double-sided meshing measuring instrument. In the above multi-point correction method, the matt gear is the passive gear and the product gear is the active gear, or the matt gear is the active gear and the product gear is the passive gear.

[0086] 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.

[0087] Furthermore, in the step 1, a tooth groove of the code gear can be meshed with a tooth of the product gear, and the tooth groove of the code gear and the tooth of the product gear can be numbered.

[0088] Furthermore, the solution of obtaining the correction value according to the two sets of center distance data sets in step 4 of the above method includes the following steps:

[0089] Step 41: Record the first set of center distance data sets obtained in step 2 as

[0090] 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 is meshing with this tooth of the special gear.

[0091] 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 is meshing with this tooth of the special gear.

[0092] 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 、b 2 12 、b 3 1 can get:

[0093] The relative error value set between the No. 1 tooth groove and the No. 2 tooth groove of the Mater gear is

[0094] Similarly, find the difference between the center distance data when the same teeth of the product gear are engaged with different tooth grooves of the special gear, so as to find the relative error set Δ between the different tooth grooves of the special gear.12 , Δ 23 , Δ 34 …;

[0095] 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 Mater gear can be obtained

[0096] 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 Mutter gear in the error correction method.

[0097] Furthermore, in the multi-point error correction method, when the number of teeth of the matte gear is large, in order to reduce error accumulation, a method for reducing 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 steps 2 and 3, steps 2 and 3 are repeated once or multiple times to obtain one or more sets of center distance data sets. The correction value of the matte gear error is solved based on all the center distance data sets. A preferred solution for the method of reducing error accumulation:

[0098] After completing the second double-flank 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;

[0099] 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;

[0100] After measuring n-1 times, plus the two measurements in steps 2 and 3, a total of n+1 center distance data sets of double-flank meshing measurements are obtained. The correction value of the MOT gear error is solved based on the data sets obtained from all double-flank meshing measurements.

[0101] 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 every 9 tooth slots, and the two correction value curves are fitted to obtain the final correction value curve.

[0102] It's worth noting that measuring from multiple, evenly spaced locations around the gear circumference is optimal for minimizing error accumulation. However, the value of m can be adjusted based on convenience and simplicity. Choosing an appropriate m value to distribute the measurement locations unevenly can also help reduce error accumulation. However, when the number of teeth on the MOT gear and the product gear is a multiple, care should be taken to select an m value that effectively measures misaligned teeth. For example, if Z1 has 50 teeth and Z2 has 100 teeth, an initial m value of 50 will not allow for misaligned tooth measurement. Adjusting m to, for example, 49 will allow for effective misaligned tooth measurement.

[0103] 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.

[0104] 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.

[0105] The application of the multi-point correction method for the error of the special gear in the double-flank meshing measurement of gears is applied to the gear radial comprehensive error measurement equipment to correct the error of the special gear.

[0106] The above shows and describes the main features, basic principles, and advantages of the present invention. Those skilled in the art should understand that the present invention is not limited to the above embodiments. The above embodiments and descriptions are merely illustrative of the principles of the present invention. Various changes and improvements may be made to the present invention based on actual circumstances without departing from the spirit and scope of the present invention. Such changes and improvements are intended to fall within the scope of the present invention. The scope of protection claimed in the present invention is defined by the appended claims and their equivalents.

Claims

1. A method for correcting the error of a special gear in double-flank 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 as the driving gear and the other as the driven gear. Then adjust the instrument so that a tooth of one of the driving gear and the driven gear meshes with a tooth groove of the other gear. Mark the teeth and tooth grooves of the two gears in sequence. The current position is called the initial position of the driving gear and the driven gear. Step 2: Make the MGT gear and the product gear rotate in double-sided meshing. Every time the MGT gear rotates through a pitch angle, the double-sided meshing measuring instrument reads the center distance between the MGT gear and the product gear, which is given by the grating sensor, until a data set of center distances is obtained when each tooth of the MGT gear is meshing with the product gear. Step 3: Return the Mater gear and the product gear to their initial positions in step 1, separate the two gears, drive the Mater gear to rotate one or more teeth, 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 special gear in double-flank meshing measurement of a gear according to claim 1, characterized in that: When the first tooth groove of the MOT gear meshes with the first tooth of the product gear in step 1, the radial runout error values ​​of all teeth of the MOT gear are obtained according to the two sets of center distance data sets in step 4, including the following steps: Step 41: The first set of center distance data sets obtained in step 2 is recorded 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 special 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 special 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 Mater 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 are engaged with different tooth grooves of the MOT gear, so as to calculate 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 between the third tooth groove and the first tooth groove of the Mater 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-flank 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 as the driving gear and the other as the driven gear. Then adjust the instrument so that a tooth of one of the driving gear and the driven gear meshes with a tooth groove of the other gear. Mark the teeth and tooth grooves of the two gears in sequence. The current position is called the initial position of the driving gear and the driven gear. Step 2: The MGT gear and the product gear are meshed and rotated on both sides. During the double-sided meshing rotation, the double-sided meshing measuring instrument reads the center distance between the MGT gear and the product gear multiple times within a pitch angle range, until a data set of center distances is obtained when each tooth of the MGT gear meshes with the product gear. Step 3: Return the Mater gear and the product gear to their initial positions in step 1, separate the two gears, drive the Mater gear to rotate one or more teeth, 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 MATE gear error to obtain a fitted correction value curve, and linearly superimpose 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 at the same phase to obtain the radial comprehensive deviation value of the product gear after correcting the MATE gear error.

4. The multi-point correction method for gear errors in double-flank meshing measurement of gears according to claim 3, characterized in that: In the step 5, the method for fitting the multiple correction value curves of the code gear error 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-flank meshing measurement of gears according to any one of claims 3 to 4, characterized in that: When the number of teeth on the code gear is large, in order to reduce error accumulation, after recording the two sets of center distance data sets obtained in steps 2 and 3, repeat steps 2 and 3 once or multiple times to obtain one or more sets of center distance data sets, and then 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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