JP2005195360A - Tooth surface error evaluation device for gearwheel pair, evaluation program therefor, and manufacturing method for gearwheel pair using the same - Google Patents

Abstract

<P>PROBLEM TO BE SOLVED: To provide a tooth surface error evaluation method for a gearwheel pair capable of grasping accurately and easily a relative meshing condition between a driving tooth surface and a driven tooth surface by an operator. <P>SOLUTION: A controller 3 generates distribution information of a relative tooth surface error that is a relative tooth surface error when the both tooth surfaces are meshed, using a measured value and design value of a tooth surface error data with respect to respective reference tooth surfaces of the driving tooth surface and the driven tooth surface, and makes the operator grasp accurately and easily the relative meshing condition between the driving tooth surface and the driven tooth surface, by evaluating the respective tooth surfaces, based on the generated relative tooth surface error distribution information. <P>COPYRIGHT: (C)2005,JPO&NCIPI

Description

  The present invention relates to a gear pair tooth surface error evaluation apparatus for evaluating tooth surface errors of a drive gear and a driven gear, and a gear pair manufacturing method using the gear surface tooth error evaluation device.

  In general, the durability and quietness of a gear pair are greatly influenced by the tooth surface shape, and therefore it is particularly important to accurately grasp the tooth surface shape. As a technique for performing this type of tooth surface shape evaluation, for example, in Patent Document 1, a tooth shape and tooth trace chart of a tooth surface is measured using a stylus type tooth surface shape measuring device, and these charts are used. A technique for performing tooth surface evaluation using a template is disclosed.

Patent Document 2 discloses that a gear pair whose tooth surface is coated with a marking compound is rotated, the removal state of the compound due to the rotation is photographed, and the photographed image data is digitally processed to obtain a digital image of the tooth surface contact pattern. A technique for evaluating a tooth surface by forming a tooth is disclosed.
JP 2000-19070 A Japanese National Patent Publication No. 10-510628

  However, each of the above-described techniques only evaluates the tooth surface shape qualitatively, and it is difficult for the operator to accurately and easily determine the complicated three-dimensional shape of the tooth surface. In particular, in order to accurately evaluate the relative meshing state of the driving tooth surface and the driven tooth surface, which are considered to be the most important in the evaluation of the tooth surface shape, using the above-mentioned techniques, the operator's high The skill level is required, and it is difficult to effectively feed back the tooth surface evaluation result to the actual tooth surface processing of the gear pair.

  SUMMARY OF THE INVENTION The present invention has been made in view of the above circumstances, and a gear pair tooth surface error evaluation apparatus capable of allowing an operator to accurately and easily grasp the relative meshing state of a driving tooth surface and a driven tooth surface, and its evaluation It is an object of the present invention to provide a program and a method of manufacturing a gear pair using the program.

  The present invention provides an error measuring means for measuring a plurality of tooth surface errors of the drive tooth surface of the drive gear and the driven tooth surface of the driven gear with respect to each reference tooth surface, and each tooth surface set for each reference tooth surface. Is a relative tooth surface error at the time of meshing between the driving tooth surface and the driven tooth surface based on the designed value of the tooth surface error or the measured value of the tooth surface error measured by the error measuring means. Distribution information generating means for generating relative tooth surface error distribution information, and tooth surface evaluation means for quantitatively evaluating each tooth surface based on the tooth surface shape error distribution information generated by the distribution information generating means. It is characterized by having.

  Further, the present invention provides an error measuring step for measuring a plurality of tooth surface errors with respect to each reference tooth surface of the driving gear surface of the driving gear and the driven tooth surface of the driven gear using an error measuring means, and each of the above reference tooth surfaces. Based on the design value of the tooth surface error of each tooth surface set for the tooth surface, or the measured value of the tooth surface error measured in the error measurement step, the meshing of the driving tooth surface and the driven tooth surface is performed. A distribution information generating step for generating relative tooth surface error distribution information, which is a relative tooth surface error, and quantitative evaluation of each tooth surface based on the tooth surface shape error distribution information generated by the distribution information generating means; And a tooth surface evaluation step.

  Further, the present invention provides a tooth surface error initial value setting step for setting a tooth surface error design value for each reference tooth surface of the driving tooth surface of the driving gear and the driven tooth surface of the driven gear, and the tooth surface error evaluation of the gear pair. A first tooth surface evaluation step for quantitatively evaluating each tooth surface with respect to a design value of the tooth surface error set in the tooth surface error initial value setting step using an apparatus; and a first tooth surface evaluation step. A first tooth surface processing step for processing at least one tooth surface of the driving tooth surface or the driven tooth surface based on the evaluation result of the above, and the tooth surface error evaluation device for the gear pair. A second tooth surface evaluation step for quantitatively evaluating the driving tooth surface and the driven tooth surface processed in the tooth surface processing step, and the driving tooth surface based on an evaluation result in the second tooth surface evaluation step; Second tooth surface processing step for processing at least one tooth surface of the driven tooth surface Characterized by comprising a.

  According to the gear pair tooth surface error evaluation apparatus and the evaluation program thereof according to the present invention, the operator can accurately and easily grasp the relative meshing state of the driving tooth surface and the driven tooth surface. By producing a gear pair using the evaluation device and the evaluation program, it is possible to efficiently produce a gear pair having excellent durability and quietness.

  Hereinafter, embodiments of the present invention will be described with reference to the drawings. FIG. 1 is a schematic configuration diagram of a tooth surface error evaluation device, FIG. 2 is a perspective view showing a tooth surface error measuring device, and FIG. 3 shows an extraction example of a tooth surface error measuring object. FIG. 4 is an explanatory diagram showing an example of a measurement pattern in the tooth trace direction of the tooth surface, and FIG. 5 is an extraction region of tooth surface error data when the tooth width of the driving gear is smaller than the tooth width of the driven gear. FIG. 6 is an explanatory view showing an extraction region of tooth surface error data when the tooth width of the driving gear is smaller than the tooth width of the driven gear, and FIG. 7 is a flowchart showing a tooth surface error correction amount setting routine. 8 is a flowchart showing a tooth surface error measurement subroutine, FIG. 9 is a flowchart showing a relative tooth surface error distribution information generation subroutine, FIG. 10 is an explanatory diagram showing an example of a relative tooth surface error distribution displayed in contour lines, and FIG. An example of tooth surface evaluation based on point position FIG. 12 is a chart showing the relationship between the assembly error and transmission error of the gear pair at each input torque, and FIG. 13 is an explanatory diagram showing the change of the relative tooth surface error due to the correction of the pressure angle error and the torsion angle error. FIG. 14 is an explanatory diagram showing a change in relative tooth surface error due to correction of tooth profile rounding and crowning, FIG. 15 is an explanatory diagram showing a change in relative tooth surface error due to bias correction, and FIG. 16 is a flowchart showing a manufacturing process of a gear pair. It is.

  In FIG. 1, reference numeral 1 denotes a tooth surface error evaluation device that performs tooth surface evaluation of a gear pair. The tooth surface error evaluation device 1 includes a stylus type tooth surface error measuring device 2 as an error measuring means, And a control device 3 that controls the tooth surface error measuring device 2. Here, in the present embodiment, an example of a tooth surface error evaluation apparatus that evaluates a gear pair constituted by a helical gear (helical gear) will be described.

  As shown in FIG. 2, the tooth surface error measuring device 2 includes a gear holding unit 10 that holds a gear as an evaluation target, and a stylus 11 that measures a tooth surface error of the gear held by the gear holding unit 10. It is comprised.

  The gear holding unit 10 includes a rotating body 21 that is rotatably attached to the measuring device main body 20, a rotation motor 22 (see FIG. 1) that rotationally drives the rotating body 21, and a gear on the rotating body 21. A gear holding shaft 23 to be held and a pin 25 that is supported on a support column 24 erected on the measuring apparatus main body 20 and pinches the gear between the gear holding shaft 23 are configured.

  Further, a Y-axis slider 26, which can move forward and backward with respect to the gear holding unit 10, is erected on the measuring apparatus main body 20 so as to oppose the support column 24. A movable Z-axis slider 27 is attached. Further, the Z-axis slider 27 is attached with a Y-axis slider 26 and an X-axis slider 28 that is movable in a horizontal direction perpendicular to the moving direction of the Z-axis slider 27. The stylus holding shaft 29 is attached to the X-axis slider 28. A stylus 11 is attached via The sliders 26 to 28 are linearly moved by driving the Y-axis motor 30, the Z-axis motor 31, and the X-axis motor 32 (see FIG. 1), respectively, and by driving these motors 30 to 32, The stylus 11 can move relative to the gear on the gear holder 10 in three dimensions.

  Moreover, each motor 22, 30-32 is connected to the control apparatus 3 via the motor control parts 35-38, and each motor control part 35-38 was attached to each motor 22, 30-32. Encoders 39 to 42 are connected. And each motor control part 35-38 acquires the rotation angle of the rotary body 21, and the linear movement amount of each slider 26-28 based on the output signal of each encoder 39-42.

  The control device 3 is constituted by a personal computer or the like provided with a CPU, RAM, ROM, input / output port and the like (all not shown). The input port of the control device 3 is connected to a detector 45 that detects the amount of deflection of the stylus 11, the input device 46 configured by a keyboard and the like, and the motor control units 35 to 38 are connected to the output port. In addition, a monitor 47 as a display means is connected. Each specification of the gear pair to be evaluated is input in advance to the control device 3 through the input device 46 and the like. The control device 3 is based on a program stored in the ROM, for example, the tooth surface error shown in FIG. Each process described later is performed in accordance with the correction amount setting routine. Thereby, the control apparatus 3 implement | achieves each function as a distribution information production | generation means, a tooth surface evaluation means, and a correction amount setting means.

  That is, as shown in FIG. 7, the control device 3 first drives and controls the tooth surface error measuring device 2 in step S1, and the teeth of the driving gear and the driven gear sequentially set on the gear holding unit 10 by the operator. Measure surface error.

  Specifically, the measurement of the tooth surface error is executed in accordance with, for example, a tooth surface error measurement subroutine shown in FIG. That is, when the driving gear is set on the gear holding unit 10 by an operator or the like and the subroutine starts, the control device 3 first drives and controls the motors 22, 30 to 32 in step S101 to contact the driving tooth surface. The tooth surface error of the driving tooth surface is measured from the amount of deflection of the stylus 11.

  The tooth surface error is an actual tooth surface error amount with respect to a reference tooth surface of the gear determined by the gear specifications (for example, in a helical gear, the tooth surface involute curve uniquely determined by the gear specifications). . For each tooth surface on the drive gear that has been extracted in a predetermined manner, the control device 3 performs a predetermined operation between the tooth tip meshing start position and the tooth root meshing end position, for example, as shown by a one-dot chain line in FIG. The stylus 11 is scanned along the tooth trace direction (tooth width direction) a total of 7 times at regular intervals, and the tooth surface error is measured at predetermined sample intervals, for example, 7 rows per tooth surface A measurement data group of tooth surface error in x rows is obtained. At that time, as indicated by a two-dot chain line in FIG. 4, the tooth surface error is measured in the tooth profile direction by scanning the stylus 11 along the tooth profile direction at the center of the tooth width of the tooth surface, and the measurement data in the tooth profile direction is measured. Based on the relative correction of each measurement data in the direction of each tooth trace, a measurement data group of tooth surface errors with higher accuracy can be acquired.

  Here, in this embodiment, as tooth surfaces for which tooth surface error measurement is performed, for example, as shown in FIG. 3, tooth surfaces on the gears positioned at angular positions of approximately 90 ° are extracted. In the RAM of the control device 3, for example, an average value for each measurement data corresponding to each extracted tooth surface is stored as a measurement data group of tooth surface errors.

  In subsequent step S102, the control device 3 performs interpolation calculation of the data group measured in step S101 using, for example, a multipoint spline interpolation method, and the sample interval in each tooth trace direction is, for example, 7 rows × 0.1 mm. A data group of tooth surface error in the n ′ column is acquired.

That is, for example, as shown in Equation (1), the control device 3 uses each measurement data sequence of tooth surface errors to obtain a spline approximation formula with the tooth trace direction as the x axis for each column, and this approximation. A data group at a desired sample interval is obtained by calculating interpolation data from the equation.

  Here, in the expression (1), the preceding function is a term representing the tendency of the entire approximate expression, and Ak-1 to A0 in the same term are k teeth extracted from n data strings in a predetermined manner. The coefficients are set based on the surface error data. In equation (1), the latter function is a term for smoothly connecting adjacent data, and Ci in the same term is a coefficient set based on adjacent data pairs.

  The interpolation processing in step S102 can be omitted when the sample interval in the tooth trace direction measured in step S101 matches a desired sample interval (for example, 0.1 mm).

  Next, when the gear on the gear holding unit 10 is exchanged from the driving gear to the driven gear by an operator or the like, the control device 3 is substantially the same as step S101 described above with respect to the driven gear (driven tooth surface) in step S103. The same processing is performed (that is, the stylus 11 is moved along the tooth trace direction (tooth width direction) a total of seven times at predetermined equal intervals between the tooth tip mesh end position and the tooth root mesh start position. And a measurement data group of tooth surface error of 7 rows × o columns is acquired.

  In subsequent step S104, the control device 3 performs an interpolation process substantially similar to that in step S102 as necessary, and the teeth in the 7 rows × o ′ columns in which the sample interval in each tooth trace direction is, for example, 0.1 mm. After obtaining the surface error data group, the subroutine is exited.

  Here, the control device 3 performs a simulation or the like at the design stage of the gear pair instead of acquiring each tooth surface error data by measuring the driving tooth surface and the driven tooth surface by the tooth surface error measuring device 2 in step S1. The design value of the tooth surface error of each tooth surface set based on (the tooth surface error data group preset for the reference tooth surface at the design stage) is acquired by operator input or the like through the input device 46. It is also possible.

  Next, in step S2, the control device 3 determines the measured value or design value of each data group acquired in step S1 described above, that is, the data group (7 rows × n ′ column) of the tooth surface error of the drive tooth surface. Based on the tooth surface error data group (7 rows × o ′ column) of the driven tooth surface, the distribution information of the relative tooth surface error, which is a relative tooth surface error at the time of meshing of both tooth surfaces, is generated.

  The generation of the relative tooth surface error distribution information is executed, for example, according to a relative tooth surface error distribution information generation subroutine shown in FIG. That is, when the subroutine starts, the control device 3 calculates an effective meshing region on both tooth surfaces that is uniquely determined by the specifications of the gear pair in step S201, and generates a data group (7th row) Xn ′ column) and driven tooth surface meshing error data group (7 rows × o ′ column), respectively, tooth surface error data group (7 rows × p column) existing in the effective meshing region is extracted. To do.

  Here, the effective meshing region of the driving tooth surface and the driven tooth surface specifically includes the tooth width of each tooth surface that is the gear specification and the tooth width deviation amount between both tooth surfaces (the center of the driving tooth surface and the driven tooth surface). It is calculated based on the amount of deviation ΔB in the tooth width direction from the center of the tooth surface. In this case, as is apparent from FIGS. 5A and 5B, the tooth width of the driving tooth surface Dv is larger than the tooth width of the driven tooth surface Dn, and the driving tooth surface Dv and the driven tooth When the surface Dn completely overlaps, the number of data in the tooth width direction of each tooth surface extracted is p = o ′. Further, as is apparent from FIGS. 5C and 5D, the tooth width of the driving tooth surface Dv is larger than the tooth width of the driven tooth surface Dn, and the driving tooth surface Dv and the driven tooth surface. When Dn does not completely overlap, the number of data in the tooth width direction of each tooth surface to be extracted is p <o ′. 6A and 6B, the tooth width of the driving tooth surface Dv is smaller than the tooth width of the driven tooth surface Dn, and the driving tooth surface Dv and the driven tooth surface. When Dn completely overlaps, the number of data in the tooth width direction of each tooth surface to be extracted is p = n ′. Further, as apparent from FIGS. 6C and 6D, the tooth width of the driving tooth surface Dv is smaller than the tooth width of the driven tooth surface Dn, and the driving tooth surface Dv and the driven tooth surface are driven. When the tooth surface Dn does not completely overlap, the number of data in the tooth width direction of each tooth surface to be extracted is p <n ′. 5 and 6 show the driving tooth surface Dv and the driven tooth surface Dn that are superimposed at the time of meshing arranged side by side.

  In subsequent step S202, the control device 3 determines the relative tooth surface at the time of meshing between the driving tooth surface and the driven tooth surface based on each tooth surface error data group (7 rows × p columns) extracted in step S201. The distribution information of the relative tooth surface error which is an error is generated. Here, as the distribution information of the relative tooth surface error, the control device 3 applies a predetermined load to the gear pair and an unloaded state in which no load is applied to the gear pair, for example, based on the driving tooth surface. Under load conditions.

More specifically, in each tooth surface error data group of 7 rows × p columns, the tooth surface error data of the i-th row and j-th column on the driving tooth surface side is DriveData (i, j), i rows on the driven tooth surface side. If the tooth surface error data in the jth column is DrivenData (i, j), each relative tooth surface error data (MuhukaSoutaiData (i, j)) in the no-load state uses, for example, the calculation formula shown in equation (2). Is calculated.
MuhukaSoutaiData (i, j) = DriveData (i, j) + DrivenData (7-1-i, j) (2)
That is, according to this calculation formula, when the extraction data group of each tooth surface is, for example, 7 rows × 161 columns,
MuhukaSoutaiData (0,0) = DriveData (0,0) + DrivenData (6,0),
MuhukaSoutaiData (0,1) = DriveData (0,1) + DrivenData (6,1), ...,
MuhukaSoutaiData (6,159) = DriveData (6,159) + DrivenData (0,159),
MuhukaSoutaiData (6,160) = DriveData (6,160) + DrivenData (0,160)
A data group of relative tooth surface errors (relative tooth surface error distribution information) in the no-load state of 7 rows × 161 columns is calculated.

In addition, among the extracted data groups of 7 rows × p columns, the tooth surface error data of the i-th row and j-th column on the driving tooth surface side is DriveData (i, j), and the tooth in the i-th row and j-th column on the driven tooth surface side. When the surface error data is DrivenData (i, j), each relative tooth surface error data (HukaSoutaiData (i, j)) in the loaded state is calculated using, for example, a calculation formula shown in Expression (3).
HukaSoutaiData (i, j) = DriveData (i, j) + DrivenData (7-1-i, j)
+ TaoreData (i, j) + GosaData (i, j) (3)
Here, TaoreData (i, j) is a correction value that reflects on the tooth surface the influence of the gear shaft tilt amount (measured value) when a predetermined load is applied to the gear pair, and GosaData (i, j) is This is a correction value in which the amount of gear pair assembly error is reflected on the tooth surface.
That is, according to this calculation formula, when the extraction data group of each tooth surface is, for example, 7 rows × 161 columns,
HukaSoutaiData (0,0) = DriveData (0,0) + DrivenData (6,0)
+ TaoreData (0,0) + GosaData (0,0),
HukaSoutaiData (0,1) = DriveData (0,1) + DrivenData (6,1)
+ TaoreData (0,1) + GosaData (0,1), ...,
HukaSoutaiData (6,159) = DriveData (6,159) + DrivenData (0,159)
+ TaoreData (6,159) + GosaData (6,159),
HukaSoutaiData (6,160) = DriveData (6,160) + DrivenData (0,160)
+ TaoreData (6,160) + GosaData (6,160)
A relative tooth surface error data group (relative tooth surface error distribution information) in a load state of 7 rows × 161 columns is calculated.

  In subsequent step S203, the control device 3 performs row interpolation and column interpolation on the relative tooth surface error data group in each state using the above-described multi-point spline interpolation method, and more detailed relative tooth surface error. After generating a data group (for example, a data group of 241 rows × 241 columns), the subroutine is exited.

  Here, the control device 3 can also visualize and display the generated distribution information of each relative tooth surface error in a contour line through the monitor 47. That is, for example, the control device 3 classifies the relative tooth surface error at each point for each predetermined error section (for example, for each error section divided every 2 μm), and the relative tooth surface errors classified into the same error section have the same color. Generate contour line data for display. Then, by outputting the contour line data to the monitor 47, the relative tooth surface error distribution information displayed in the contour line is displayed on the monitor 47, for example, as shown in FIG.

  Next, in step S3, the control device 3 performs tooth surface evaluation based on the distribution information of each relative tooth surface error generated in step S2.

  More specifically, the control device 3 searches for the most convex point position when the driving tooth surface and the driven tooth surface mesh with each other using the distribution information of the relative tooth surface error in the no-load state, and this most convex point. From the position, the tooth surface is evaluated with reference to an evaluation map (see FIG. 11) stored in advance in the ROM. Here, the most convex point is a point at which the relative tooth surface error becomes the smallest when the driving tooth surface and the driven tooth surface are engaged (in other words, on the driving tooth surface and the driven tooth surface to which the strongest stress is applied during the engagement). Point). In addition, the evaluation map is a map for performing the strength evaluation of the tooth surfaces of the gear pair that varies greatly according to the position of the most convex point, for example, in six grades of best, good, good, bad, bad, and worst. Yes, based on gear specifications and the like, which are set in advance through experiments, simulations, and the like.

  Further, the control device 3 calculates the relationship between the gear pair assembly error and the transmission error in each torque state using the gear specifications, the distribution information of the relative tooth surface error in the load state, and the like. The tooth surface is evaluated based on the error calculation result. Here, the transmission error is a meshing error considering the deformation of the tooth due to the load and the rotational fluctuation due to the relative tooth surface error, and this meshing error is a large factor of the vibration between the tooth surfaces, and therefore is generally transmitted. As the error is reduced, the silence of the gear pair can be improved. Therefore, when each transmission error is smaller than a preset threshold value (for example, see FIG. 12A), the control device 3 evaluates that the gear pair has high silence and is higher than the threshold value. When there is a transmission error (for example, see FIG. 12B), it is evaluated that the gear pair is low in silence.

  Next, in step S4, the control device 3 appropriately changes the distribution state of the relative tooth surface error according to the tooth surface evaluation result based on the most convex point position and the tooth surface evaluation result based on the transmission error in step S3. After setting the tooth surface error correction amount for this, the routine is exited.

  In this case, in the control device 3, as the tooth surface error correction amount, the pressure error correction amount, the torsion angle error correction amount, the tooth profile roundness correction amount, the crowning correction amount, the bias, of at least one of the driving tooth surface and the driven tooth surface. Set the correction amount as appropriate.

  More specifically, the control device 3 determines the distribution of relative tooth surface errors when the pressure error, torsion angle error, tooth profile rounding, crowning, and bias of at least one of the driving tooth surface and the driven tooth surface are appropriately changed. Information is obtained by simulation, and by repeating the tooth surface evaluation based on the simulated distribution information of the relative tooth surface error, for example, the most convex point is located in a region that is superior or superior, and each transmission error is equal to or less than a threshold value. The amount of correction of the tooth surface error is calculated.

  Here, the movement of the relative tooth surface error distribution in the vertical direction (tooth profile direction) is realized by correcting the increase / decrease of the pressure angle error, and the movement of the relative tooth surface error distribution in the left / right direction (tooth width direction) is caused by the twist angle error. Realized by increase / decrease correction. That is, as shown in FIG. 13, when the pressure angle error is corrected to minus by correcting the tooth tip or the tooth root of the driving tooth surface or the driven tooth surface, the relative tooth surface error distribution is moved to the tooth tip side along the tooth profile direction. When the pressure angle error is positively corrected, the relative tooth surface error distribution is moved to the tooth base side along the tooth profile direction. Also, if the torsion angle error is corrected by correcting the amount of inclination of the driving tooth surface or the driven tooth surface, the relative tooth surface error distribution is moved to the meshing start point side along the tooth width direction, and the torsion angle error is corrected to minus. Then, the relative tooth surface error distribution is moved toward the pointing end point along the tooth width direction.

  In addition, expansion / contraction in the vertical direction (tooth profile direction) of the region where the relative tooth surface error is small is realized by increasing / decreasing the tooth profile roundness, and expansion / contraction of the region where the relative tooth surface error is small in the horizontal direction (tooth width direction) Realized by increase / decrease correction. That is, as shown in FIG. 14, when the tooth profile roundness is corrected by minus correction of the tooth tip or root of the driving tooth surface or driven tooth surface, the region where the relative tooth surface error is small is enlarged along the tooth profile direction, and the tooth profile rounding is performed. When the plus correction is performed, the region where the relative tooth surface error is small is reduced along the tooth profile direction. If the crowning of the driving tooth surface or the driven tooth surface is negatively corrected, the region where the relative tooth surface error is small is enlarged along the tooth width direction, and if the crowning is positively corrected, the region where the relative tooth surface error is small is the tooth width direction. Is reduced along.

  Further, expansion / contraction in the meshing direction (meshing progress direction) of the region where the relative tooth surface error is small is realized by correcting the increase / decrease of the bias. That is, as shown in FIG. 15, when the bias is positively corrected (bias-in), the region where the relative tooth surface error is small is enlarged along the meshing direction, and when the bias is negatively corrected (bias out), the relative tooth surface error is The small area is reduced along the meshing direction.

  Here, the setting of the tooth surface error correction amount may be appropriately set by an operator with reference to the relative tooth surface error distribution information displayed in a contour line on the monitor.

Next, a gear pair manufacturing method using the above-described tooth surface error evaluation apparatus 1 will be described with reference to the flowchart shown in FIG.
First, in step S501, the operator inputs the specifications of the drive gear and the driven gear to be evaluated through the input device 46 and the like to the control device 3 of the tooth surface error evaluation device 1, and the driving tooth surface and Tooth surface error data (design value) for each reference tooth surface of the driven tooth surface is set as an initial value (tooth surface error initial value setting step).

  In subsequent step S502, the operator uses the tooth surface error evaluation device 1 to consider the tooth surface error design value and evaluate the tooth surface of the gear pair (for example, tooth surface evaluation and transmission based on the position of the most convex point). Tooth surface evaluation based on error) is performed (first tooth surface error evaluation step).

  In step S503, the operator appropriately sets the tooth surface error correction amount according to the evaluation result in step S502, and takes into account the set tooth surface error correction amount, and then the tooth surfaces for the driving gear and the driven gear. A processing amount is set and tooth surface processing is performed (first tooth surface processing step).

  When the tooth surface processing is performed on each gear and the process proceeds to step S504, the operator sequentially sets the driving gear and the driven gear on the gear holding unit 10 of the tooth surface error evaluation device 1 to set the tooth surface error of each tooth surface. While measuring, the tooth surface evaluation of the gear pair based on these measurement data (for example, tooth surface evaluation based on the most convex point position and tooth surface evaluation based on transmission error) is performed (second tooth surface error evaluation step).

  In step S505, the operator refers to the evaluation result in step S504, and proceeds to step S506 if the evaluation result is not good. That is, the strength and quietness of the gear pair are also affected by the tooth surface condition in micron units of the tooth surface, so even if the tooth surface processing is performed by setting an appropriate tooth surface processing amount in the step S503. Even in such a case, a good evaluation result may not be obtained due to the influence of a machining error or the like. Therefore, the operator sets the tooth surface error correction amount again in accordance with the evaluation result in step S504, and considers the tooth surface error correction amount for the driving gear and the driven gear after taking into account the set tooth surface error correction amount. After setting and performing tooth surface processing (second tooth surface processing step), the process returns to step S504.

  On the other hand, if it is determined in step S505 that the evaluation result in step S504 is good, the process proceeds to step S507, and the operator summarizes the past tooth surface machining amounts and finally determines the final values for the driving gear and the driven gear. After setting each tooth surface processing amount (that is, each tooth surface processing amount used for mass production of a gear pair, for example), the routine is terminated.

  According to such a form, the distribution information of the relative tooth surface error that is a relative tooth surface error at the time of meshing of the driving gear and the driven gear is generated, and each tooth is generated based on the generated relative tooth surface error distribution information. By evaluating the surface, the operator can accurately and easily grasp the relative meshing state of the driving tooth surface and the driven tooth surface.

  At that time, by calculating the effective meshing area according to the amount of deviation at the time of meshing between the driving tooth surface and the driven tooth surface, and by setting the relative tooth surface error distribution information generation area variably based on this effective meshing area Thus, it is possible to obtain appropriate relative tooth surface error distribution information in consideration of the shift amount at the time of meshing of the gear pair.

  Further, as relative tooth surface error distribution information, relative tooth surface error distribution information in an unloaded state in which no load is applied to the driving gear and the driven gear is generated, and both teeth are generated based on the distribution information in the unloaded state. By evaluating the position of the most convex point on the surface, it is possible to perform an appropriate strength evaluation on the tooth surface of the gear pair.

  Further, as relative tooth surface error distribution information, relative tooth surface error distribution information in a load state in which a predetermined load is applied to the driving gear and the driven gear is generated, and based on the distribution state in this load state, By evaluating the transmission error, it is possible to evaluate appropriate quietness with respect to the tooth surfaces of the gear pair.

  At that time, by obtaining the distribution information of the relative tooth surface error in detail with interpolation calculation, better tooth surface evaluation can be realized.

  Also, each tooth surface error correction amount such as pressure angle error correction amount, tooth roundness correction amount, torsion angle error correction amount, crowning correction amount, bias correction amount, etc. for each tooth surface is set based on each tooth surface evaluation result described above. By doing so, the strength and quietness of the gear pair can be effectively improved.

  In addition, by visualizing and displaying the generated relative tooth surface error distribution information in a contour line through the monitor 47, the meshing state of the gear pair can be recognized at a glance.

  Further, by setting the tooth surface processing amount of each gear pair based on the quantitative evaluation result by the tooth surface error evaluation device 1 as described above, an appropriate tooth surface processing amount can be obtained without depending on the skill level of the operator or the like. Can be set.

  In the above-described embodiment, an example of evaluation of a helical tooth pair has been described. However, the present invention is not limited to this, and can be applied to other types of gear pairs. It is.

Schematic configuration diagram of tooth surface error evaluation device Perspective view showing tooth surface error measuring device Explanatory drawing which shows the example of extraction of a tooth surface error measurement object Explanatory drawing which shows an example of the measurement pattern to the tooth trace direction of a tooth surface Explanatory drawing which shows the extraction area | region of tooth surface error data when the tooth width of a drive gear is smaller than the tooth width of a driven gear Explanatory drawing which shows the extraction area | region of tooth surface error data when the tooth width of a drive gear is smaller than the tooth width of a driven gear Flow chart showing tooth surface error correction amount setting routine Flow chart showing tooth surface error measurement subroutine Flow chart showing relative tooth surface error distribution information generation subroutine Explanatory drawing which shows an example of relative tooth surface error distribution displayed by contour lines Map showing an example of tooth surface evaluation based on the position of the most convex point Chart showing the relationship between gear pair assembly error and transmission error at each input torque Explanatory drawing which shows change of relative tooth surface error by correction of pressure angle error and torsion angle error Explanatory drawing which shows change of relative tooth surface error by correction of tooth profile rounding and crowning Explanatory drawing showing changes in relative tooth surface error due to bias correction Flow chart showing gear pair manufacturing process

Explanation of symbols

DESCRIPTION OF SYMBOLS 1 ... Tooth surface error evaluation apparatus 2 ... Tooth surface error measuring apparatus (measuring means)
3 ... Control device (distribution information generation means, tooth surface evaluation means, correction amount setting means)
47 ... Monitor (display means)
S1 ... Error measurement step S2 ... Distribution information generation step S3 ... Tooth surface evaluation step S4 ... Correction amount setting step Dn ... Driven tooth surface Dv ... Drive tooth surface
Agent Patent Attorney Susumu Ito

Claims (16)

An error measuring means for measuring a plurality of tooth surface errors with respect to each reference tooth surface of the driving tooth surface of the driving gear and the driven tooth surface of the driven gear;
Based on the design value of the tooth surface error of each tooth surface set for each of the reference tooth surfaces or the measured value of the tooth surface error measured by the error measuring means, the driving tooth surface and the driven tooth A distribution information generating means for generating distribution information of a relative tooth surface error that is a relative tooth surface error at the time of meshing with the surface;
A tooth surface error evaluating device for a gear pair, comprising: tooth surface evaluating means for quantitatively evaluating each tooth surface based on the distribution information of the tooth surface shape error generated by the distribution information generating means.   The distribution information generation means variably sets a generation area of the distribution information of the relative tooth surface error according to a shift amount at the time of meshing between the driving tooth surface and the driven tooth surface. The gear pair tooth surface error evaluation apparatus according to claim 1.   3. The distribution information generating means generates distribution information of the relative tooth surface error in a no-load state in which no load is applied to the driving gear and the driven gear. Gear tooth error evaluation device for gear pairs.   The tooth surface evaluation means evaluates the position of the most convex point when the driving tooth surface and the driven tooth surface mesh with each other based on the distribution information of the relative tooth surface error in an unloaded state. Item 3. An apparatus for evaluating tooth surface errors of a gear pair according to Item 3.   3. The distribution information generation means generates distribution information of the relative tooth surface error in a load state in which a predetermined load is applied to the driving gear and the driven gear. Gear tooth error evaluation device for gear pairs.   6. The tooth surface evaluation means evaluates a transmission error between the driving tooth surface and the driven tooth surface based on distribution information of the relative tooth surface error in a loaded state. Gear tooth error evaluation device for gear pairs.   The gear pair teeth according to any one of claims 1 to 6, further comprising correction amount setting means for setting a correction amount for a tooth surface error based on an evaluation result by the tooth surface evaluation means. Surface error evaluation device.   8. The gear pair tooth surface error evaluation apparatus according to claim 7, wherein the correction amount is a pressure angle error correction amount for at least one of the driving tooth surface and the driven tooth surface.   8. The gear pair tooth surface error evaluation apparatus according to claim 7, wherein the correction amount is a tooth profile rounding correction amount for at least one of the driving tooth surface and the driven tooth surface.   8. The gear pair tooth surface error evaluation apparatus according to claim 7, wherein the correction amount is a torsion angle error correction amount for at least one of the driving tooth surface and the driven tooth surface.   8. The gear pair tooth surface error evaluation apparatus according to claim 7, wherein the correction amount is a crowning correction amount for at least one of the driving tooth surface and the driven tooth surface.   8. The gear pair tooth surface error evaluation apparatus according to claim 7, wherein the correction amount is a bias correction amount for at least one of the driving tooth surface and the driven tooth surface.   13. The gear pair tooth surface error evaluation apparatus according to claim 1, further comprising display means for visualizing and displaying the distribution information of the relative tooth surface error in a contour line. An error measuring step for measuring a plurality of tooth surface errors with respect to each reference tooth surface of the driving tooth surface of the driving gear and the driven tooth surface of the driven gear using an error measuring means;
Based on the design value of the tooth surface error of each tooth surface set for each of the reference tooth surfaces or the measured value of the tooth surface error measured in the error measurement step, the driving tooth surface and the driven tooth A distribution information generation step for generating distribution information of a relative tooth surface error that is a relative tooth surface error at the time of meshing with the surface;
A tooth surface error evaluation program for a gear pair, comprising: a tooth surface evaluation step for quantitatively evaluating each tooth surface based on the distribution information of the tooth surface shape error generated by the distribution information generating means.   15. The gear pair tooth surface error evaluation program according to claim 14, further comprising a correction amount setting step for setting a correction amount for the tooth surface error based on the evaluation result of the tooth surface evaluation step. A tooth surface error initial value setting step for setting a design value of a tooth surface error with respect to each reference tooth surface of the driving tooth surface of the driving gear and the driven tooth surface of the driven gear;
A quantitative evaluation of each tooth surface with respect to the design value of the tooth surface error set in the tooth surface error initial value setting step is performed using the tooth surface error evaluation device for a gear pair according to any one of claims 1 to 13. A first tooth surface evaluation step;
A first tooth surface processing step of performing at least one tooth surface processing of the driving tooth surface or the driven tooth surface based on the evaluation result in the first tooth surface evaluation step;
A second evaluation for quantitatively evaluating the driving tooth surface and the driven tooth surface processed in the first tooth surface processing step using the tooth surface error evaluation device for a gear pair according to any one of claims 1 to 13. Tooth surface evaluation process;
And a second tooth surface processing step of performing at least one tooth surface processing of the driving tooth surface or the driven tooth surface based on the evaluation result in the second tooth surface evaluation step. A method for manufacturing a gear pair.

Images