JP2010165181A - Device, program and method for designing gear pair, and the gear pair - Google Patents

Abstract

<P>PROBLEM TO BE SOLVED: To provide a design device for a gear pair easily setting design information for efficiently machining the excellent gear pair for practical use with a high yield. <P>SOLUTION: An arithmetic part 6 sets a plurality of patterns of tooth surface correction amount groups G each comprising a combination of values of respective tooth surface correction amounts, simulates a plurality of patterns of the gear paris capable of being produced within a machining error range when performing tooth surface machining by use of elements wherein each tooth surface correction amount is imparted to a basic elements in each tooth surface correction group G, and calculates tooth surface error distribution information of each tooth surface in each gear pair. Each transmission error amount E under a plurality of meshing conditions is calculated to all the gear pairs simulated within a set machining range in each tooth surface correction amount group G based on each corresponding tooth surface error distribution information, and the optimal tooth surface correction amount group is extracted. At that time, an installation error amount D occurring according to torque Tq is calculated in each prescribed torque based on a displacement amount of each gear in a meshing model, and the installation error amounts D are used as the meshing conditions. <P>COPYRIGHT: (C)2010,JPO&INPIT

Description

  The present invention relates to a gear pair design apparatus, a gear pair design program, a gear pair design method, and a gear pair that set a tooth surface correction amount with respect to a reference tooth surface of a gear pair composed of a spur gear, a helical gear, or the like.

  In general, the performance such as the quality of tooth contact distribution of gear pairs and the level of gear noise greatly depend on the difference in micron units of tooth surface shape. Therefore, in the design of the gear pair, after the basic specifications for defining the basic shape and the like of the desired gear pair are set, the reference tooth surface of each gear that is uniquely determined based on the basic specifications is set to 3 Various tooth surface correction amounts for dimensional correction are set in units of microns. Then, by applying various tooth surface correction amounts and the like to the reference tooth surface, the final design tooth surface correction amount used for processing the gear pair is set.

As a technique for designing this type of gear pair, for example, Patent Document 1 discloses a tooth surface correction amount group composed of a combination of values obtained by changing each tooth surface correction amount for each basic specification of the gear pair. Multiple tooth patterns can be manufactured within the range of machining errors when tooth surface processing is performed using specifications with multiple patterns set and each tooth surface correction amount added to the basic specifications for each tooth surface correction amount group. A technique for calculating tooth surface error distribution information of each tooth surface in each gear pair by simulation is disclosed. Further, Patent Document 1 corresponds to each transmission error amount under a plurality of patterns of meshing conditions set in advance for all gear pairs simulated within a set machining error range for each tooth surface correction amount group. Disclosed is a technique for calculating a final tooth surface correction amount group from tooth surface correction amount groups that are calculated based on each tooth surface error distribution information and within which a set ratio of each transmission error amount is within a threshold value. Has been.
JP 2008-123117 A

  By the way, in designing the gear pair as described above, in order to design a good gear pair that can withstand practical use, it is important to sufficiently consider the meshing conditions such as torque actually applied to the gear pair.

  The present invention has been made in view of the above circumstances, and a gear pair design apparatus, a gear pair design program capable of easily setting design information for processing a good gear pair that can withstand practical use with high yield, An object of the present invention is to provide a gear pair design method and a gear pair.

  The present invention provides a final design tooth surface that is used for gear pair machining by giving a plurality of tooth surface correction amounts to each reference tooth surface that is set based on the basic specifications of the driving gear and the driven gear that mesh with each other. A gear pair design apparatus for setting a correction amount, a tooth surface correction amount group setting means for setting a plurality of tooth surface correction amount groups each consisting of a combination of values obtained by changing the respective tooth surface correction amounts, and the above A plurality of patterns of gear pairs that can be manufactured within a set machining error range when performing tooth surface machining by applying each tooth surface correction amount to the reference tooth surface for each tooth surface correction amount group, Tooth surface error information calculating means for calculating tooth surface error distribution information with respect to the reference tooth surface of the driving gear in the gear pair and tooth surface error distribution information with respect to the reference tooth surface of the driven gear, and torque applied to the gear pair Generated according to An assembly error amount calculation means for calculating a dynamic assembly error amount for each predetermined torque based on the displacement amounts of the drive gear and the driven gear, and within the set machining error range for each tooth surface correction amount group. For each of the simulated gear pairs, the transmission error amounts when the driving gear and the driven gear are meshed with each other under meshing conditions of a plurality of patterns including the assembly error amount as a parameter are represented by the corresponding teeth. When there is a transmission error amount calculating means for calculating each based on the surface error distribution information and the tooth surface correction amount group satisfying the setting condition for each calculated transmission error amount, the best from among the tooth surface correction amount group. And a tooth surface correction amount group extracting means for extracting the tooth surface correction amount group.

  In addition, the present invention provides a final design for gear pair machining by giving a plurality of tooth surface correction amounts to each reference tooth surface set by the basic specifications of the driving gear and the driven gear that mesh with each other. A gear pair design program for setting a tooth surface correction amount, a tooth surface correction amount group setting step for setting a plurality of patterns of tooth surface correction amount groups each consisting of a combination of values obtained by changing the respective tooth surface correction amounts, and Simulating a plurality of patterns of gear pairs that can be manufactured within a set machining error range when the tooth surface machining is performed by applying each tooth surface correction amount to the reference tooth surface for each tooth surface correction amount group, Tooth surface error information calculation step for calculating tooth surface error distribution information for the reference tooth surface of the driving gear and tooth surface error distribution information for the reference tooth surface of the driven gear in each gear pair, and a gear pair. An assembling error amount calculating step for calculating a dynamic assembling error amount generated according to torque for each predetermined torque based on the displacement amount of the driving gear and the driven gear, and for each tooth surface correction amount group For all the gear pairs simulated within the set machining error range, the transmission error amounts when the driving gear and the driven gear are meshed with each other in meshing conditions of a plurality of patterns including the assembly error amount as a parameter. , When there is a transmission error amount calculation step for calculating each of the corresponding tooth surface error distribution information based on the corresponding tooth surface error distribution information and the tooth surface correction amount group for which the calculated transmission error amount satisfies the setting condition, And a tooth surface correction amount group extracting step for extracting the best tooth surface correction amount group from the amount group.

  In addition, the present invention provides a final design for gear pair machining by giving a plurality of tooth surface correction amounts to each reference tooth surface set by the basic specifications of the driving gear and the driven gear that mesh with each other. A gear pair design method for setting a tooth surface correction amount, a tooth surface correction amount group setting step for setting a plurality of patterns of tooth surface correction amount groups each consisting of a combination of values obtained by changing the respective tooth surface correction amounts, and Simulating a plurality of patterns of gear pairs that can be manufactured within a set machining error range when the tooth surface machining is performed by applying each tooth surface correction amount to the reference tooth surface for each tooth surface correction amount group, Tooth surface error information calculation step for calculating tooth surface error distribution information for the reference tooth surface of the driving gear and tooth surface error distribution information for the reference tooth surface of the driven gear in each gear pair, and a gear pair. According to torque An assembly error amount calculating step for calculating a dynamic assembly error amount generated at a predetermined torque based on a displacement amount of the drive gear and the driven gear, and the set processing error for each tooth surface correction amount group. For all the gear pairs simulated within the range, the transmission error amounts when the driving gear and the driven gear are meshed with each other under meshing conditions of a plurality of patterns including the assembly error amount as a parameter correspond to A transmission error amount calculation step for calculating each tooth surface error distribution information based on the tooth surface error distribution information, and when the tooth surface correction amount group satisfies the setting condition for each calculated transmission error amount, And a tooth surface correction amount group extracting step for extracting the best tooth surface correction amount group from the inside.

  Further, the gear pair of the present invention is characterized in that the tooth surface processing of the driving gear and the driven gear is performed based on the best tooth surface correction amount group extracted by the gear pair design apparatus.

  ADVANTAGE OF THE INVENTION According to this invention, the design information for processing efficiently the good gear pair which can be used practically with a sufficient yield can be set easily.

  Hereinafter, embodiments of the present invention will be described with reference to the drawings. The drawings relate to an embodiment of the present invention, FIG. 1 is a schematic configuration diagram of a gear pair design device, FIG. 2 is a schematic diagram showing an example of a computer for realizing the gear pair design device, and FIG. FIG. 4 is a flowchart showing a tooth surface error calculation subroutine, FIG. 5 is a flowchart showing a transmission error amount calculation subroutine, and FIG. 6 is a correction amount input point set on the tooth surface. FIG. 7 is an explanatory diagram of the tooth tip correction amount and the tooth base correction amount, FIG. 8 (a) is an explanatory diagram of the crowning correction amount, FIG. 8 (b) is an explanatory diagram of the tooth trace taole correction amount, FIG. Is an explanatory view of the bias correction amount, FIG. 10 is an explanatory view showing an extraction region of tooth surface error data when the tooth width of the driving gear is larger than the tooth width of the driven gear, and FIG. 11 is a drawing showing the tooth width of the driving gear. Tooth surface error data when the tooth width is smaller than FIG. 12 is an explanatory diagram showing an example of an extracted region, FIG. 12 is an explanatory diagram showing an example of a relative tooth surface error distribution displayed in contour lines, and FIG. 13 is an explanatory diagram of a transmission error amount in a no-load state derived from the relative tooth surface error distribution. 14 is a map showing an example of the target value of the transmission error amount, FIG. 15 is a map showing the target value and threshold value of the transmission error amount along the line II in FIG. 14, and FIG. 16 is a line II-II in FIG. FIG. 17 is a schematic configuration diagram of a gear pair, FIG. 18 is an explanatory diagram showing an example of a tolerance range input screen, and FIG. 19 is an explanatory diagram of a discrepancy error and a parallel error. 20 is an explanatory diagram showing an example of the relationship between the drive gear shaft torque and displacement at each measurement point, FIG. 21 is an explanatory diagram showing an example of dynamic deflection, and FIG. 22 is a diagram showing dynamics of a gear pair on an actual machine. Is an explanatory diagram showing an example of simple deflection, and FIG. FIG. 24 is an explanatory diagram showing an example of a meshing order component (amplitude value) of transmission error displacement, and FIG. 25 is an explanatory diagram showing an example of a transmission error frequency map. FIG. 26 is an explanatory diagram showing an example of transmission error torque characteristics, and FIG. 27 is an explanatory diagram showing an example of a frequency map showing the frequency of occurrence of transmission errors below the target value.

  The gear pair design apparatus 1 shown in FIG. 1 designs, for example, a gear pair 100 (see FIG. 17) in which the driving gear 101 and the driven gear 102 that are meshed with each other are helical gears (helical gears). Specifically, the design apparatus 1 gives a gear pair 100 by giving a plurality of tooth surface correction amounts to each reference tooth surface defined by the basic specifications of the driving gear 101 and the driven gear 102 by simulation. The final design tooth surface correction amount to be used for machining is set.

Here, the basic specifications are, for example, the number of teeth z of the driving gear 101 and the driven gear 102, the tooth right angle module m _n , the tooth height coefficient K _s , the apex coefficient C _k , the pressure angle α _n , the tooth width b, and And a twist angle β _{0 and the} like. For example, when the gear pair 100 is a helical gear pair, an involute tooth surface that is a reference tooth surface indicating the macro shape of each tooth surface of the driving gear 101 and the driven gear 102 based on the basic specifications. Are uniquely defined.

  In addition, for each tooth surface (each reference tooth surface) on the drive side and the coast side of the driving gear 101 and the driven gear 102, for example, a tooth tip correction amount T, a tooth root correction amount R, a crowning as design tooth surface correction amounts. Values that take into account the correction amount C, the tooth trace correction amount L, the left and right bias correction amounts Bl, Br, etc. (see FIGS. 7 to 9) are set individually. And at the time of tooth surface processing, each tooth surface is processed three-dimensionally with respect to a reference tooth surface by performing tooth surface correction based on each design tooth surface correction amount. Such tooth surface correction for each tooth surface can be performed by selectively using various finishing methods such as shaving, honing, or tooth grinding (tooth surface grinding) as appropriate. Here, when a toothpaste is selected as the finishing method, as a design tooth surface correction amount corresponding to the toothpaste, for example, instead of the tooth tip correction amount T and the tooth root correction amount R, the tooth profile round amount FFA and A pressure angle error amount FA is set. In the following explanation, the individual explanation when adopting a toothpaste as a finishing method is omitted as appropriate, but the tooth tip correction is performed for analysis etc. for the toothpaste unless otherwise explained. The amount T and the tooth base correction amount R are read as the tooth profile rounding amount FFA and the pressure angle error amount FA, and parameters corresponding to the tooth tip correction amount T and the tooth base correction amount R (for example, tooth surface correction amount and tolerance described later) Range, etc.) should be appropriately replaced with equivalent parameters corresponding to the tooth profile rounding amount FFA and the pressure angle error amount FA.

In the following description, the subscript “ _Dv1 ” is added to the tooth surface correction amount set on the drive side tooth surface of the drive gear 101 as necessary, and the tooth surface correction amount set on the coast side tooth surface. The subscript “ _Dv2 ” is added to etc. Moreover, given the subscript _"Dn1" the tooth surface modification amount or the like which is set on the drive side tooth surfaces of the driven gear 102, denoted by the subscript _"Dn2" the tooth surface modification amount or the like which is set to coast side tooth surface.

  The design apparatus 1 includes an input unit 5 for inputting various types of information including basic specifications, a calculation unit 6 for calculating a design tooth surface correction amount of a gear pair based on input information from the input unit 5, and a calculation unit 6 stores a program such as a design tooth surface correction amount setting routine executed in 6, and appropriately stores input information from the input unit 5, calculation results in the calculation unit 6, and calculation in the calculation unit 6. And an output unit 8 for outputting results and the like.

  The design apparatus 1 is realized by a computer system 10 shown in FIG. 2, for example. In the computer system 10, for example, a keyboard 12, a display device 13, and a printer 14 are connected to a computer main body 11 via a connection cable 15 to constitute a main part. In the computer system 10, for example, various drive devices, CPU, ROM, RAM, and the like arranged in the computer main body 11 function as the calculation unit 6. Further, a hard disk or the like built in the computer main body 11 functions as the storage unit 7, and the display device 13, the printer 14, and the like function as the output unit 8.

Here, various information set by the operator according to the use of the gear pair, the performance required for the gear pair, and the like are input to the design device 1 through the input unit 5. Specifically, in the present embodiment, for example, in addition to the design tooth surface correction amount of the gear pair, the permissible tooth surface correction amounts T, R, C, L, Bl, Br to be applied to the respective reference tooth surfaces. Ranges (allowable tooth surface correction amounts) T _(r) , R _(r) , C _(r) , L _(r) , Bl _(r) , Br _(r) are input. Further, the design device 1 includes a machining error for each finishing method assumed when performing tooth surface correction using the tooth surface correction amounts T, R, C, L, Bl, and Br of each item during tooth surface processing. The tolerance ranges Te _(r) , Re _(r) , Ce _(r) , Le _(r) , Ble _(r) , Bre _(r) of the quantities Te, Re, Ce, Le, Ble, Bre are arbitrarily set. The In setting the above-described tolerance ranges, the design apparatus 1 can display, for example, the input screen illustrated in FIG. 18 on the output unit 8 such as the display apparatus 13. In this case, as shown in the figure, when the finishing method is a tooth grinding, the tooth profile rounding FFA and the tooth profile correction amount T and the tolerance correction range Te _(r) and Re _{(r) of the} tooth base correction amount R are replaced by the tooth profile roundness FFA and The tolerance ranges FFAe _(r) and FAe _{(r) of the} pressure angle error FA can be input. In the present embodiment, on this input screen, it is possible to display an image by associating (specifically, overlapping) the tolerance ranges for each item input for each finishing method. . And by having such a display function, the operator can visually confirm the tolerance range set for each finishing method.

The design apparatus 1 receives a range Mis _{(r) of} an assembly error Mis (meshing condition) assumed when the gear pair 100 is assembled to the actual machine. This assembly error Mis is, for example, a static assembly error that mainly occurs due to bearing play or the like when the gear pair 100 is assembled to an actual machine. In the present embodiment, specifically, , as a static assembly errors Mis, Shoku違direction of assembly error of the gear shaft (food違誤difference: Deviation _{error) Mis devi} and, in the direction parallel to the gear shaft assembly error (parallel error: Inclination _{error) Mis incl} And can be set. Accordingly, the designing apparatus 1, Food違誤difference: Deviation _error) and _Mis range _{devi Mis devi (r),} the direction parallel assembly error (parallel error: Inclination _error) range _{Mis incl Mis incl (r)} Can be entered. In addition, the design device 1 receives a practical range (practical torque range) Tq _{(r) of} an input torque Tq (meshing condition) when using the gear pair 100 in an actual machine, and is applied to a transmission error amount E described later. An evaluation map or the like is input. Various input information input through the input unit 5 and the like is stored in the storage unit 7.

Here, the evaluation map for transmission error amount E, for example, as shown in FIGS. 14 to 16, with Shoku違direction set error _{Mis devi} (Food違誤difference: Deviation error) and the input torque Tq (Input Torque) Then, a three-dimensional map indicating the relationship between the threshold value for determining whether the transmission error amount E (Transmission Error) is good and the target value is input. The evaluation map of FIG. 14 to 16 is intended to evaluate the engagement drive side when set parallel error Mis _incl to a predetermined fixed value by varying the food違誤difference Mis _devi, design In addition, the apparatus 1 can appropriately input evaluation maps for various patterns. For example, evaluation map and for evaluating the meshing of the drive side when changing the parallel error Mis _incl set to a fixed value food違誤difference Mis _devi, the evaluation map to evaluate the engagement of coast side such It is also possible to input (not shown).

  And the calculating part 6 performs the program of the design tooth surface correction amount setting routine stored in the memory | storage part 7, for example, and performs various calculations based on said each input information, A tooth surface correction amount group setting means, Each function as a tooth surface error information calculation unit, a transmission error amount calculation unit, a tooth surface correction amount group extraction unit, and an assembly error amount calculation unit is realized.

That is, the arithmetic unit 6 reads the above-described various input information stored in the storage unit 7 and sets it as gear pair design information (design conditions). Then, for example, the calculation unit 6 converts each tooth surface correction amount T, R, C, L, Bl, Br into each allowable correction amount T _(r) , R _(r) , C _(r) , L _(r) , Sets a plurality of patterns of tooth surface correction amount groups G (G ₁ , G ₂ ,..., G _n ) that are combinations of values when individually changed within the range of Bl _(r) and Br _(r). To do. Then, when the tooth surface machining is performed by assigning each tooth surface correction amount T, R, C, L, Bl, Br to the basic specifications, the calculation unit 6 performs each machining error range Te _(r) , Re _{( r)} , Ce _(r) , Le _(r) , Ble _(r) , Bre _(r) simulating a plurality of patterns of gear pairs for each tooth surface correction amount group G, and driving gears in each gear pair The tooth surface error distribution information with respect to the reference tooth surface and the tooth surface error distribution information with respect to the reference tooth surface of the driven gear are respectively calculated. Further, the calculation unit 6 includes a tooth surface correction amount group within each machining error range Te _(r) , Re _(r) , Ce _(r) , Le _(r) , Ble _(r) , Bre _(r). For each gear pair simulated for each G, each of the tooth surfaces when the driving gear and the driven gear are meshed with each other with a plurality of meshing conditions (assembly error Mis, torque Tq) set in advance. The transmission error amount E is calculated based on each corresponding tooth surface error distribution information. In this case, for example, the calculation unit 6 calculates the deflection D that occurs when the predetermined torque Tq is applied by meshing the gear pair on the actual machine, using simulation or the like. The deflection D is a dynamic assembly error caused by the deflection of each gear shaft when a predetermined torque Tq is applied to the gear pair. Specifically, the calculation unit 6 defines the deflection D as: food違誤difference _{D devi} and parallel error _{D incl,} respectively computed for each variable setting torque condition (torque Tq) in the practical torque range _{Tq (r).} And the calculating part 6 calculates | requires each transmission error amount E using each deflection | deviation D calculated for every torque condition.

  Then, the calculation unit 6 refers to the evaluation map for the transmission error amount E, and finally selects the tooth surface correction amount group G from which the set ratio or more of the calculated transmission error amounts E is within the set threshold value. The tooth surface correction amount group G is extracted. At that time, the calculation unit 6 transmits the transmission error amount E that satisfies the setting requirement among the transmission error amounts E calculated corresponding to the tooth surface correction amount group G (for example, when all the processing error amounts are zero). Each transmission error amount E) is evaluated based on a preset target value to narrow down the tooth surface error correction amount group G to be extracted, and the best tooth is selected from the narrowed tooth surface error correction amount group G. The surface correction amount group G is extracted as appropriate.

  The calculation unit 6 performs these calculations for each finishing process, thereby selecting an optimal finishing process and based on the best tooth surface correction amount group G in the selected finishing method. The set design tooth surface correction amount is selected as the final design tooth surface correction amount.

Next, the gear pair design process executed by the calculation unit 6 will be described in detail with reference to the design tooth surface correction amount setting routine shown in FIG.
Here, in the following description, the design of a helical gear pair will be described as an example. When the helical gear pair is designed, an input by the operator through the input unit 5 causes the storage unit 7 to store, for example, a correction amount range T _(r) allowable for each tooth tip correction amount T as 2 to 2. 10 μm is 2 to 10 μm as a correction amount range R _(r) allowed for each root correction amount R, and 4 to 14 μm as a correction amount range C _(r) allowed for each crowning correction amount C However, 2 to 12 μm is the correction amount range L _(r) that is allowed for each tooth trace correction amount L, and the correction amount ranges Bl _(r) and Br that are allowed for each bias correction amount Bl and Br. _(R) is set to 0 to 15 μm. Further, for example, as shown in FIG. 18, when the finishing method is shaving, −7 to 4 μm is assumed for the tooth root correction as a processing error range Te _(r) assumed for the tooth tip correction. -4 to 6 μm as the processing error range Re _(r) to be processed, and −3 to 3 μm as the processing error range Ce _(r) assumed for the crowning correction is assumed to be a processing error -5 to 5 μm is set as the range Le _(r) , and −8 to 8 μm is set as the processing error ranges Ble _(r) and Bre _(r) assumed for the bias correction. Further, when the finishing method is honing, the processing error range Te _(r) assumed for the tooth tip correction is −5 to 2 μm, and the processing error range Re _(r) assumed for the tooth base correction. −2 to 4 μm is assumed as a processing error range Ce _(r) assumed for the crowning correction, −2 to 2 μm is assumed as a processing error range Le _(r) assumed for the tooth trace Taole correction −4 to 4 μm is set to −7 to 7 μm as processing error ranges Ble _(r) and Bre _(r) assumed for bias correction. Further, in the case where the finishing method is a tooth grinding, a processing error range FFAe _(r) assumed for correction of the tooth profile roundness is −1.5 to 1.5 μm, and the processing assumed for the pressure angle error correction is assumed. An error range FAe _(r) of −2 to 2 μm is assumed, and a machining error range Ce _(r) of −1 to 1 μm assumed for the crowning correction is assumed to be a machining error range Le _{( r)} is set to −3 to 3 μm, and processing error ranges Ble _(r) and Bre _(r) assumed to be bias correction are set to −5 to 5 μm, respectively. Moreover, the scope of the static assembly errors Mis, and as a practical range of the input torque Tq, the range of food違誤difference _{Mis devi Mis devi (r) =} -0.03~0.17 (deg), Tq (r) = 0 to 20 (kgfm) is set. In the following description, an example in which the static parallel error Mis _incl is set to a predetermined fixed value (for example, Mis _incl = 0) will be described in order to simplify the description.

When this routine starts, the calculation unit 6 first reads various input information set by the operator in step S101. In other words, the calculation unit 6 includes basic specifications of the gear pair, allowable correction amount ranges T _(r) , R _(r) , C _(r) , L _(r) , Bl _(r) , Br _(r) , finishing process. Each tolerance range Te _(r) , Re _(r) , Ce _(r) , Le _(r) , Ble _(r) , Bre _(r) , assembly error range Mis _(r) , practical torque range Tq _(r) Various information such as a transmission error evaluation map is read from the storage unit 7.

  In subsequent step S102, the calculation unit 6 selects any one of the finishing methods that have not yet been selected from shaving, honing, and tooth grinding.

In the subsequent step S103, the calculation unit 6 determines a plurality of patterns of teeth based on the permissible correction amounts T _(r) , R _(r) , C _(r) , L _(r) , Bl _(r) , Br _(r). A surface correction amount group G is set. Specifically, the calculation unit 6 uses the allowable correction amounts T _(r) , R _(r) , C _(r) , L _(r) , Bl _(r) , Br as the tooth surface correction amount group G, for example. Within the range of _(r) , the tooth surface correction amount T _Dv1 , R _Dv1 , C _Dv1 , L _Dv1 , Bl _Dv1 , Br _Dv1 , T _Dv2 , R _Dv2 , C _Dv2 , L _Dv2 , Bl _Dv2 , Br _Dv2 , _TDn1 , _RDn1 , _CDn1 , _LDn1 , _BlDn1 , _BrDn1 , _TDn2 , _RDn2 , _CDn2 , _LDn2 , _BlDn2 , Br _Brn Set all combinations of values.

That is, the calculation unit 6 has, as the tooth surface correction amount group, for example,
G ₁ = (T _Dv1 = 2, R _Dv1 = 2, C _Dv1 = 4, L _Dv1 = 2, Bl _Dv1 = 0, Br _Dv1 = 0, T _Dv2 = 2, R _Dv2 = 2, C _Dv2 = 4, L _Dv2 = 2, Bl _Dv2 = 0, Br _Dv2 = 0, T _Dn1 = 2, R _Dn1 = 2, C _Dn1 = 4, L _Dn1 = 2, Bl _Dn1 = 0, Br _Dn1 = 0, T _Dn2 = 2, R _Dn2 = 2, _CDn2 = 4, _LDn2 = 2, _BlDn2 = 0, _BrDn2 = 0),
G ₂ = (T _Dv1 = 3, R _Dv1 = 2, C _Dv1 = 4, L _Dv1 = 2, Bl _Dv1 = 0, Br _Dv1 = 0, T _Dv2 = 2, R _Dv2 = 2, C _Dv2 = 4, L _Dv2 = 2, Bl _Dv2 = 0, Br _Dv2 = 0, T _Dn1 = 2, R _Dn1 = 2, C _Dn1 = 4, L _Dn1 = 2, Bl _Dn1 = 0, Br _Dn1 = 0, T _Dn2 = 2, R _Dn2 = 2, _CDn2 = 4, _LDn2 = 2, _BlDn2 = 0, _BrDn2 = 0),
G ₃ = (T _Dv1 = 4, R _Dv1 = 2, C _Dv1 = 4, L _Dv1 = 2, Bl _Dv1 = 0, Br _Dv1 = 0, T _Dv2 = 2, R _Dv2 = 2, C _Dv2 = 4, L _Dv2 = 2, Bl _Dv2 = 0, Br _Dv2 = 0, T _Dn1 = 2, R _Dn1 = 2, C _Dn1 = 4, L _Dn1 = 2, Bl _Dn1 = 0, Br _Dn1 = 0, T _Dn2 = 2, R _Dn2 = 2, _CDn2 = 4, _LDn2 = 2, _BlDn2 = 0, _BrDn2 = 0),...
G _n-1 = (T _Dv1 = 10, R _Dv1 = 10, C _Dv1 = 14, L _Dv1 = 12, Bl _Dv1 = 15, Br _Dv1 = 15, T _Dv2 = 10, R _Dv2 = 10, C _Dv2 = 14 , L _Dv2 = 12, Bl _Dv2 = 15, Br _Dv2 = 15, T _Dn1 = 10, R _Dn1 = 10, C _Dn1 = 14, L _Dn1 = 12, Bl _Dn1 = 15, Br _Dn1 = 15, T _Dn2 = 10 , R _Dn2 = 10, C _Dn2 = 14, L _Dn2 = 12, Bl _Dn2 = 15, Br _Dn2 = 14),
G _n = (T _Dv1 = 10, R _Dv1 = 10, C _Dv1 = 14, L _Dv1 = 12, Bl _Dv1 = 15, Br _Dv1 = 15, T _Dv2 = 10, R _Dv2 = 10, C _Dv2 = 14, L _Dv2 = 12, Bl _Dv2 = 15, Br _Dv2 = 15, T _Dn1 = 10, R _Dn1 = 10, C _Dn1 = 14, L _Dn1 = 12, Bl _Dn1 = 15, Br _Dn1 = 15, T _Dn2 = 10, R _Dn2 = 10, C _Dn2 = 14, L _Dn2 = 12, Bl _Dn2 = 15, Br _Dn2 = 15)
Set.

In subsequent step S104, the calculation unit 6 selects any one tooth surface correction amount group G from the tooth surface correction amount groups G _{1 to} G _n set in step S103.

Then, when proceeding to step S105, the calculation unit 6 executes a program of a tooth surface error calculation subroutine shown in FIG. 4, for example, and based on the selected tooth surface correction amount group G, each processing error range Te _(r) , For each gear pair that can be processed in Re _(r) , Ce _(r) , Le _(r) , Ble _(r) , Bre _(r) , tooth surface errors on the drive side and the coast side of the drive gear and the driven gear, respectively. Calculate distribution information.

That is, when this subroutine is started, in step S201, the arithmetic unit 6 causes the machining error ranges Te _(r) , Re _(r) , Ce _(r) , Le _(r) , Le _(r) , corresponding to the currently selected finishing method. Based on Ble _(r) and Bre _(r) , a processing error amount group Ge of a plurality of patterns is set. Specifically, the calculation unit 6 uses, for example, each processing error range Te _(r) , Re _(r) , Ce _(r) , Le _(r) , Ble _(r) , Bre _{( r)} machining error amount of each item for each tooth surface in _{Te Dv1, Re Dv1, Ce Dv1} , Le Dv1, Ble Dv1, Bre Dv1, Te Dv2, Re Dv2, Ce Dv2, Le Dv2, Ble Dv2, Bre Dv2, _{Te Dn1, Re Dn1, Ce Dn1} , Le Dn1, Ble Dn1, Bre Dn1, Te Dn2, Re Dn2, Ce Dn2, Le Dn2, Ble Dn2, all of the values when the _{Bre Dn2} respectively allowed individually changed by 1μm Set the combination.

That is, for example, the calculation unit 6 has, for example, a processing error amount group Ge when the finishing method is shaving.
Ge ₁ = (Te _Dv1 = −7, Re _Dv1 = −4, Ce _Dv1 = −3, Le _Dv1 = −5, Ble _Dv1 = −8, Bre _Dv1 = −8, Te _Dv2 = −7, Re _Dv2 = − 4, Ce _Dv2 = -3, Le _Dv2 = -5, Ble _Dv2 = -8, Bre _Dv2 = -8, Te _Dn1 = -7, Re _Dn1 = -4, Ce _Dn1 = -3, Le _Dn1 = -5 Ble _Dn1 = -8, Bre _Dn1 = -8, Te _Dn2 = -7, Re _Dn2 = -4, Ce _Dn2 = -3, Le _Dn2 = -5, Ble _Dn2 = -8, Bre _Dn2 = -8),
Ge ₂ = (Te _Dv1 = −6, Re _Dv1 = −4, Ce _Dv1 = −3, Le _Dv1 = −5, Ble _Dv1 = −8, Bre _Dv1 = −8, Te _Dv2 = −7, Re _Dv2 = − 4, Ce _Dv2 = -3, Le _Dv2 = -5, Ble _Dv2 = -8, Bre _Dv2 = -8, Te _Dn1 = -7, Re _Dn1 = -4, Ce _Dn1 = -3, Le _Dn1 = -5 Ble _Dn1 = -8, Bre _Dn1 = -8, Te _Dn2 = -7, Re _Dn2 = -4, Ce _Dn2 = -3, Le _Dn2 = -5, Ble _Dn2 = -8, Bre _Dn2 = -8),
Ge ₃ = (Te _Dv1 = −5, Re _Dv1 = −4, Ce _Dv1 = −3, Le _Dv1 = −5, Ble _Dv1 = −8, Bre _Dv1 = −8, Te _Dv2 = −7, Re _Dv2 = − 4, Ce _Dv2 = -3, Le _Dv2 = -5, Ble _Dv2 = -8, Bre _Dv2 = -8, Te _Dn1 = -7, Re _Dn1 = -4, Ce _Dn1 = -3, Le _Dn1 = -5 Ble _Dn1 = -8, Bre _Dn1 = -8, Te _Dn2 = -7, Re _Dn2 = -4, Ce _Dn2 = -3, Le _Dn2 = -5, Ble _Dn2 = -8, Bre _Dn2 = -8),・ ・,
Ge _m-1 = (Te _Dv1 = 4, Re _Dv1 = 6, Ce _Dv1 = 3, Le _Dv1 = 5, Ble _Dv1 = 8, Bre _Dv1 = 8, Te _Dv2 = 4, Re _Dv2 = 6, Ce _Dv2 = 3 , Le _Dv2 = 5, Ble _Dv2 = 8, Bre _Dv2 = 8, Te _Dn1 = 4, Re _Dn1 = 6, Ce _Dn1 = 3, Le _Dn1 = 5, Ble _Dn1 = 8, Bre _Dn1 = 8, Te _Dn2 = 4 , Re _Dn2 = 6, Ce _Dn2 = 3, Le _Dn2 = 5, Ble _Dn2 = 8, Bre _Dn2 = 7),
Ge _m = (Te _Dv1 = 4, Re _Dv1 = 6, Ce _Dv1 = 3, Le _Dv1 = 5, Ble _Dv1 = 8, Bre _Dv1 = 8, Te _Dv2 = 4, Re _Dv2 = 6, Ce _Dv2 = 3, Le _Dv2 = 5, Ble _Dv2 = 8, Bre _Dv2 = 8, Te _Dn1 = 4, Re _Dn1 = 6, Ce _Dn1 = 3, Le _Dn1 = 5, Ble _Dn1 = 8, Bre _Dn1 = 8, Te _Dn2 = 4, Re _Dn2 = 6, Ce _Dn2 = 3, Le _Dn2 = 5, Ble _Dn2 = 8, Bre _Dn2 = 8)
Set.

In subsequent step S202, the calculation unit 6 selects any _one processing error amount group Ge from the processing error amount groups Ge _{1 to} Ge _m set in step S201.

  Then, in step S203, the calculation unit 6 manufactures (simulates) each tooth surface (drive gear and drive gear) manufactured (simulated) based on the currently selected tooth surface correction amount group G and machining error amount group Ge. The tooth surface error distribution information of 3 rows × 3 columns is calculated as the tooth surface error distribution information of each tooth surface of the driven gear (drive side and coast side tooth surfaces). That is, as shown in FIG. 6, the calculation unit 6 includes the center (P (1, 1)) of the effective tooth surface on each reference tooth surface and the four corners (P (0, 0), P ( 0,2), P (2,0), P (2,2)) and the center of each side (P (0,1), P (1,0)), P (1,2) surrounding the effective tooth surface ), P (2,1)), the tooth surface error distribution information of 3 rows × 3 columns with respect to each reference tooth surface is calculated by giving each corresponding tooth surface correction amount and each processing error amount. .

Specifically, when the drive gear is right-twisted, the tooth trace amount is positive in the direction of strong twist, and the bias correction amount is positive in bias-in. Is
P _Dv1 (0,0) = T _Dv1 + C _Dv1 + L _Dv1 / 2-Bl _Dv1 / 2 + Te _Dv1 + Ce _Dv1 + Le _Dv1 / 2-Ble _Dv1 / 2
P _Dv1 (0,1) = T _Dv1 + Te _Dv1
P _Dv1 (0,2) = T _Dv1 + C _Dv1 −L _Dv1 / 2 + Br _Dv1 / 2 + Te _Dv1 + Ce _Dv1 −Le _Dv1 / 2 ++ Bre _Dv1 / 2
P _Dv1 (1, 0) = C _Dv1 + L _Dv1 / 2 + Ce _Dv1 + Le _Dv1 / 2
P _Dv1 (1,1) = 0
P _Dv1 (1,2) = C _Dv1 −L _Dv1 / 2 + Ce _Dv1 −Le _Dv1 / 2
P _Dv1 (2,0) = R _Dv1 + C _Dv1 + L _Dv1 / 2 + Bl _Dv1 / 2 + Re _Dv1 + Ce _Dv1 + Le _Dv1 / 2 + Ble _Dv1 / 2
P _Dv1 (2,1) = R _Dv1 + Re _Dv1
P _Dv1 (2,2) = R _Dv1 + C _Dv1 −L _Dv1 / 2−Bre _Dv1 / 2 + Re _Dv1 + Ce _Dv1 −Le _Dv1 / 2−Bre _Dv1 / 2
It becomes.

In addition, the tooth surface correction amount of each point on the coast side tooth surface of the drive gear is
P _Dv2 (0,0) = T _Dv2 + C _Dv2 + L _Dv2 / 2-Bl _Dv2 / 2 + Te _Dv2 + Ce _Dv2 + Le _Dv2 / 2-Ble _Dv2 / 2
P _Dv2 (0,1) = T _Dv2 + Te _Dv2
P _Dv2 (0,2) = T _Dv2 + C _Dv2 −L _Dv2 / 2 + Br _Dv2 / 2 + Te _Dv2 + Ce _Dv2 −Le _Dv2 / 2 ++ Bre _Dv2 / 2
P _Dv2 (1, 0) = C _Dv2 + L _Dv2 / 2 + Ce _Dv2 + Le _Dv2 / 2
P _Dv2 (1,1) = 0
P _Dv2 (1,2) = C _Dv2 −L _Dv2 / 2 + Ce _Dv2 −Le _Dv2 / 2
P _Dv2 (2,0) = R _Dv2 + C _Dv2 + L _Dv2 / 2 + Bl _Dv2 / 2 + Re _Dv2 + Ce _Dv2 + Le _Dv2 / 2 + Ble _Dv2 / 2
P _Dv2 (2,1) = R _Dv2 + Re _Dv2
P _Dv2 (2,2) = R _Dv2 + C _Dv2 −L _Dv2 / 2−Bre _Dv2 / 2 + Re _Dv2 + Ce _Dv2 −Le _Dv2 / 2−Bre _Dv2 / 2
It becomes.

In addition, the tooth surface correction amount of each point on the drive side tooth surface of the driven gear is
P _Dn1 (0,0) = T _Dn1 + C _Dn1 −L _Dn1 / 2 + Bl _Dn1 / 2 + Te _Dn1 + Ce _{Dn1 −Le Dn1} / 2 + Ble _Dn1 / 2
P _Dn1 (0,1) = T _Dn1 + Te _Dn1
P _Dn1 (0,2) = T _Dn1 + C _Dn1 + L _Dn1 / 2-Br _Dn1 / 2 + Te _Dn1 + Ce _Dn1 + Le _Dn1 / 2-Bre _Dn1 / 2
P _Dn1 (1, 0) = C _Dn1 −L _Dn1 / 2 + Ce _{Dn1 −Le Dn1} / 2
P _Dn1 (1,1) = 0
P _Dn1 (1,2) = C _Dn1 + L _Dn1 / 2 + Ce _Dn1 + Le _Dn1 / 2
P _Dn1 (2,0) = R _Dn1 + C _Dn1 −L _Dn1 / 2−Bl _Dn1 / 2 + Re _Dn1 + Ce _{Dn1 −Le Dn1} / 2−Ble _Dn1 / 2
P _Dn1 (2,1) = R _Dn1 + Re _Dn1
P _Dn1 (2,2) = R _Dn1 + C _Dn1 + L _Dn1 / 2 + Br _Dn1 / 2 + Re _Dn1 + Ce _Dn1 + Le _Dn1 / 2 + Bre _Dn1 / 2
It becomes.

In addition, the tooth surface correction amount of each point on the coast side tooth surface of the driven gear is
P _Dn2 (0,0) = T _Dn2 + C _Dn2 −L _Dn2 / 2 + Bl _Dn2 / 2 + Te _Dn2 + Ce _{Dn2 −Le Dn2} / 2 + Ble _Dn2 / 2
P _Dn2 (0,1) = T _Dn2 + Te _Dn2
P _Dn2 (0,2) = T _Dn2 + C _Dn2 + L _Dn2 / 2-Br _Dn2 / 2 + Te _Dn2 + Ce _Dn2 + Le _Dn2 / 2-Bre _Dn2 / 2
P _Dn2 (1, 0) = C _Dn2 −L _Dn2 / 2 + Ce _{Dn2 −Le Dn2} / 2
P _Dn2 (1,1) = 0
P _Dn2 (1,2) = C _Dn2 + L _Dn2 / 2 + Ce _Dn2 + Le _Dn2 / 2
P _Dn2 (2,0) = R _Dn2 + C _Dn2 −L _Dn2 / 2−Bl _Dn2 / 2 + Re _Dn2 + Ce _{Dn2 −Le Dn2} / 2−Ble _Dn2 / 2
P _Dn2 (2,1) = R _Dn2 + Re _Dn2
P _Dn2 (2,2) = R _Dn2 + C _Dn2 + L _Dn2 / 2 + Br _Dn2 / 2 + Re _Dn2 + Ce _Dn2 + Le _Dn2 / 2 + Bre _Dn2 / 2
It becomes.

When the finishing method is tooth grinding, in the above calculation formula of the tooth surface correction amount at each point, (FFA _Dv1 + FA _Dv1 / 2) for T _{Dv1 and} (FFAe _Dv1 + FAe) for Te _Dv1 . _Dv1 / 2) _is, with respect to _{R Dv1 (FFA Dv1 -FA Dv1 /} 2) _is, with respect to _{Re Dv1} is _{(FFAe Dv1 -FAe Dv1 / 2)} , with respect to _{T Dv2 (FFA Dv2 + FA Dv2} / 2 ) For Te _Dv2 , (FFAe _Dv2 + FAe _Dv2 / 2), for R _Dv2 , (FFA _Dv2- FA _Dv2 / 2), for Re _Dv2 , (FFAe _Dv2- FAe _Dv2 / 2), Assigned respectively. When the drive gear is left-handed, the addition / subtraction relating to the tooth trace correction amount and the bias correction amount is reversed at each point described above.

In subsequent step S204, the calculation unit 6 performs interpolation calculation of the tooth surface error distribution information in each tooth surface calculated in step S203 using, for example, a multipoint spline interpolation method, and the sample interval in each tooth trace direction is, for example, 0. Each tooth surface error distribution information of 3 rows × o _Dv1 column, 3 rows × o _Dv2 column, 3 rows × o _Dn1 column, 3 rows × o _Dn2 column to be 1 mm is calculated.

That is, for example, as shown in Equation (1), the calculation unit 6 uses each 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 formula A data group of a desired sample interval is obtained by calculating interpolation data from

  Here, in the expression (1), the preceding function is a term representing the tendency of the approximate expression as a whole, and Ak-1 to A0 in the same term are k tooth surface error data extracted in advance from the data string. Is a coefficient set based on each. 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.

  When the process proceeds from step S204 to step S205, it is checked whether or not the tooth surface error distribution information of the gear pairs corresponding to all the processing error amount groups Ge has been calculated. As a result, when it is determined that the tooth surface error distribution information of the gear pairs corresponding to all the processing error amount groups Ge is not calculated, the calculation unit 6 returns to step S202. On the other hand, if it is determined that the tooth surface error distribution information of the gear pairs corresponding to all the processing error amount groups Ge has been calculated, the subroutine is exited.

  In the main routine, when proceeding from step S104 to step S105, the calculation unit 6 executes a program of a transmission error amount calculation subroutine shown in FIG. 5, for example, and can be processed based on the selected tooth surface correction amount group G. Each transmission error amount E when the gear pair is meshed with a plurality of patterns of meshing conditions is calculated.

In this subroutine, first, the calculation unit 6 performs each of the torques Tq within the practical torque range Tq _{(r) with} respect to a gear pair (for example, a gear pair obtained based on basic specifications) by the processing in steps S301 to S306. Each deflection D is calculated when. That is, when the subroutine is started, the calculation unit 6 determines, as the initial value of the torque Tq to be applied to the gear pair 100 in step S301, for example, the minimum value of torque within the practical torque range Tq _(r) (for example, Tq = 0 (kgfm)).

  In subsequent step S302, the calculation unit 6 calculates a meshing model when the torque Tq is applied to the gear pair on the simulation.

  Then, when the process proceeds to step S303, the calculation unit 6 determines each displacement amount of the driving gear and the driven gear on the meshing model calculated in step 302 (that is, each amount of displacement from the unloaded state of the driving gear and the driven gear). Measure. Here, the calculation unit 6 measures each displacement amount at four target positions on the same circle centered on the drive gear shaft on one side of the drive gear, and on one side of the driven gear, the driven gear shaft. Each displacement amount is measured at four target positions on the same circle centered on.

More specifically, for example, as shown in FIG. 19, in the gear pair in the simulation, the calculation unit 6 is located in the immediate vicinity of the meshing position with the driven gear (Driven) on one side of the drive gear (Drive). The first measurement point M1 _Dv is set, and the two-fold symmetrical position of the first measurement point M1 _Dv with respect to the rotation axis of the drive gear (that is, the position where the first measurement point M1 _Dv is rotated 180 °) To the second measurement point M2 _Dv . Further, first, second measurement point _M1 Dv, _M2 each four symmetrical positions of _Dv (i.e., first, second measurement point _M1 Dv, _{M2 Dv} each 90 ° rotational movement relative to the axis of rotation of the drive gear The third and fourth measurement points M3 _Dv and M4 _Dv are set at the position). And the calculating part 6 measures each displacement amount of the drive gear in each set measurement point M1 _Dv- M4 _Dv (namely, it calculates on simulation). The calculation unit 6 sets the second measurement point M2 _Dn in the immediate vicinity of the meshing position with the drive gear on one side of the driven gear, and the second measurement point M2 based on the rotation axis of the driven gear. _A first measurement point M1 _Dn is set at a two-fold symmetrical position of _Dn . Further, the third and fourth measurement points M3 _Dn and M4 _Dn are set at the four-fold symmetrical positions of the first and second measurement points M1 _Dn and M2 _{Dn with} respect to the rotation axis of the drive gear. The calculation unit 6 measures the respective displacement of the driven gear at each measurement point _M1 Dn _{through M4 Dn} set (i.e., calculated in the simulation).

  In step S304, for example, the calculation unit 6 updates the current torque Tq to a predetermined torque ΔTq (for example, ΔTq = 1.2 (kgfm)) increase side (Tq ← Tq + ΔTq).

In subsequent step S305, the calculation unit 6 determines the torque Tq within the practical torque range Tq _(r) by, for example, checking whether or not the updated torque Tq is outside the practical torque range Tq _(r) . It is checked whether or not the measurement of each displacement amount of the driving gear and the driven gear for each change of the torque ΔTq is completed.

In step S305, when it is determined that the updated torque Tq is still a value within the practical torque range Tq _(r) , and the measurement of the displacement amounts of the drive gear and the driven gear for each predetermined torque ΔTq has not been completed yet. The calculation unit 6 returns to step S302.

On the other hand, when it is determined in step S305 that the updated torque Tq is a value outside the practical torque range Tq _(r) and measurement of each displacement amount of the drive gear and the driven gear for each predetermined torque ΔTq is completed, the calculation unit 6 Advances to step S306 to calculate the dynamic deflection D generated in the gear pair for each torque Tq based on the measured displacements.

That is, the arithmetic unit 6 performs the above-described processing in steps S301 to S305, for example, as shown in FIG. 20, to determine the relationship between the torque Tq and the displacement at each of the measurement points M1 _{Dv to} M4 _Dv and M1 _{Dn to} M4 _Dn . To earn. In step S306, the calculation unit 6 determines, for example, dynamic deflection of the gear pair with respect to the torque Tq based on the obtained displacement information for each torque Tq and the effective meshing radius of the driving gear and the driven gear. as, for example, as shown in FIG. 19 and 21, calculates the dynamic eating違誤difference _D devi (Tq) and the parallel error _D incl (Tq). Incidentally, _D devi (Tq) and _D incl shown in FIG. 21 secondary (Tq) is obtained by notation food違誤difference _{D devi} and parallel error _{D incl} as a function of the torque Tq.

Here, in order to realize a more detailed calculation of the deflection D, for example, in the above-described step S302, the calculation unit 6 can also generate a meshing model of a gear pair mounted on a transmission or the like, for example. . Further, the practical torque range Tq _(r) can be extended not only to the positive value side (that is, the drive side) but also to the negative value side (that is, the coast side). In these conditions, the calculation results of the dynamic eating違誤difference _D devi gear pair when performing the above-described processing of step S301~306 (Tq) and the parallel error _D incl (Tq), for example, As shown in FIG.

Proceeding from step S306 to step S307, the arithmetic unit 6, a static eating違誤difference range _{Mis devi (r)} and practical torque range _{Tq (r)} (i.e., dynamic food違誤difference _D devi (Tq) and parallel A plurality of patterns of engagement condition groups Gc are set based on the error D _incl (Tq)). Specifically, the arithmetic unit 6, a condition group Gc engagement, for example, a fixed value static parallel error _{Mis incl (Mis incl = 0)} , the error range of static eating違誤difference _{Mis devi Mis devi (} the value was changed by 0.02deg within _r), set all combinations of the values is varied by 1.2kgfm within practical torque range input torque _Tq Tq _(r).

That is, the calculation unit 6 includes, for example, the engagement condition group as follows:
Gc ₁ = (Mis _devi = −0.03, Mis _incl = 0, D _devi (Tq = 0), D _incl (Tq = 0)),
Gc ₂ = (Mis _dev = −0.01, Mis _incl = 0, D _devi (Tq = 0), D _incl (Tq = 0)),
Gc ₃ = (Mis _devi = 0.01, Mis _incl = 0, D _devi (Tq = 0), D _incl (Tq = 0)), ...
Gc _l−1 = (Mis _dev = 0.17, Mis _incl = 0, D _devi (Tq = 58.8), D _incl (Tq = 18.8)),
_{Gc l = (Mis devi = 0.17} , Mis incl = 0, D devi (Tq = 60), D incl (Tq = 20))
Set.

  When the process proceeds from step S307 to step S308, the calculation unit 6 selects each gear pair (each gear pair that can be manufactured within the set machining error range based on the current tooth surface correction amount group G) calculated in step S105. Any one gear pair is selected, and in the subsequent step S309, any one engagement condition group Gc is selected from the engagement condition group set in step 307.

  In step S310, the calculation unit 6 calculates relative tooth surface error distribution information between the tooth surfaces when the gear pair selected in step S308 is engaged using the engagement condition group Gc selected in step S309. To do.

In the calculation of the relative tooth surface error distribution information, the calculation unit 6 first calculates the effective meshing region of each drive side tooth surface of the driving gear and the driven gear, and the tooth surface error distribution information (3 rows ×× o _Dv1 column distribution information) and driven gear tooth surface error distribution information (3 rows × o _Dn1 column distribution information), tooth surface error distribution information (3 rows × p columns) existing in the effective meshing region. Distribution information) is extracted.

Here, the effective meshing region of the driving tooth surface and the driven tooth surface is specifically 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 apparent from FIGS. 10A and 10B, 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 _Dn1 . Further, as apparent from FIGS. 10C and 10D, 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 are the same. When Dn does not completely overlap, the number of data in the tooth width direction of each tooth surface extracted is p <o _Dn1 . Further, as is clear from FIGS. 11A and 11B, 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 extracted is p = o _Dv1 . Further, as apparent from FIGS. 11C 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 <o _Dv1 . 10 and 11 show the driving tooth surface Dv and the driven tooth surface Dn that are superimposed at the time of meshing arranged side by side.

  Next, based on the extracted tooth surface error distribution information (3 row × p column distribution information), the calculation unit 6 calculates the relative tooth surface error when the driving tooth surface and the driven tooth surface mesh with each other. The distribution information of a certain relative tooth surface error is generated. Here, the relative tooth surface error distribution information is calculated on the basis of the driving tooth surface, for example.

More specifically, in each tooth surface error distribution information of 3 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 i-th row on the driven tooth surface side. If the tooth surface error data in the j-th column is DrivenData (i, j), each relative tooth surface error data (HukaSoutaiData (i, j)) is calculated using, for example, the calculation formula shown in Equation (2).
HukaSoutaiData (i, j) = DriveData (i, j) + DrivenData (7-1-i, j) + EASSY (2)
Here, in equation (2), EASSY static eating違誤difference _{Mis devi} and parallel error _{Mis incl} torque Tq (i.e., dynamic food違誤difference _D devi (Tq) and the parallel error _D incl (Tq)) Is calculated from the following equation (3), for example.
EASSY = (D _devi (Tq) + Mis _dev + (D _incl (Tq) + Mis _incl )
× tan α _bs ) × B (3)
Here, B in the equation (3) is the meshing tooth width (see FIGS. 10 and 11). Further, α _bs in the expression (3) is a front meshing pressure angle obtained by correcting the pressure angle αn with the gear center distance, the number of teeth, a module, and the like.

In step S310, the tooth surface error distribution information of the driving gear (3 rows × o _Dv2 column distribution information) and the driven gear tooth surface error distribution information (3 rows × o _Dn2 column distribution) are also obtained for the coast side tooth surface. The same processing is performed using (information).

  Then, when the process proceeds from step S310 to step S311, the calculation unit 6 performs row interpolation and column interpolation on each relative tooth surface error distribution information using the above-described multipoint spline interpolation method, and more detailed relative tooth surfaces. Error distribution information (for example, distribution information of 241 rows × 241 columns) is generated.

  Here, for example, as shown in FIG. 12, the calculation unit 6 can also visualize and display the generated relative tooth surface error distribution information in a contour line shape through the output unit 8 (for example, the monitor 13). In FIG. 12, a broken line indicates a contact path between the driving tooth surface and the driven tooth surface. In FIG. 12, the alternate long and short dash line indicates the contact line between the driving tooth surface and the driven tooth surface at a certain moment, and this contact line translates on the contact path as the meshing between the tooth surfaces proceeds. To do.

  When the process proceeds from step S311 to step S312, the calculation unit 6 calculates the transmission error amount E of the gear pair based on the relative tooth surface error distribution information generated in step S311.

  As a calculation of the transmission error amount E, the calculation unit 6 uses, for example, the relationship between the meshing timing (rotation angle) of the gear pair and the equivalent tooth profile error of each tooth based on the relative tooth surface error distribution information generated in step S311. Is obtained (see FIG. 13). Here, in the no-load state, as the equivalent tooth profile error, the maximum value of the relative tooth surface error distributed on each contact line at each meshing timing is used in the relative tooth surface error distribution information. And the calculating part 6 calculates | requires the difference d of the maximum value and minimum value of the equivalent tooth profile error about several simultaneous contact lines in 1 pitch N of the rotation angle of a driven gear as the transmission error amount E, for example. Of course, the calculation of the transmission error amount E based on the relative tooth surface error distribution information is not limited to the above.

  When the process proceeds from step S312 to step S313, the calculation unit 6 checks whether or not each transmission error amount E for the total meshing condition group Gc set in step S308 has been calculated for the currently selected gear pair. . As a result, when the calculation unit 6 determines that the transmission error amount E for all the meshing condition groups Gc has not been calculated, the calculation unit 6 returns to step S309.

  On the other hand, when it is determined in step S313 that the transmission error amount E for all the meshing condition groups Gc has been calculated, the calculation unit 6 proceeds to step S314, and the transmission error amounts E for all the gear pairs are calculated. Check if it has been computed. As a result, when it is determined that the transmission error amount E for all gear pairs has not been calculated, the calculation unit 6 returns to step S308. On the other hand, when it is determined that the transmission error amount E for all gear pairs has been calculated, the calculation unit 6 exits the subroutine.

  In the main routine, when the process proceeds from step S106 to step S107, the calculation unit 6 sets each transmission error amount E based on each machining error and each meshing condition for all the tooth surface correction amount groups G set in step S103. Check whether the operation has been performed. As a result, when the calculation unit 6 determines that the calculation of each transmission error amount E is not performed on all the tooth surface correction amount groups G, the process returns to step S104.

  In addition, when returning to step S104 from step S107 and performing the process of above-mentioned step S105 and step S106 based on the newly selected tooth surface correction amount group G, tooth surface error distribution information etc. overlap with the previous one. In this case, each calculation based on the tooth surface error distribution information can be omitted as appropriate. That is, since the tooth surface error distribution information is calculated based on various tooth surface correction amounts and various machining errors, even when the tooth surface correction amount group G is different, the same tooth surface error distribution information can be obtained. There is. In particular, in the present embodiment, since various tooth surface correction amounts and various machining errors are changed by the same value, a lot of tooth surface error distribution information and the like overlap. Therefore, by omitting redundant operations in such a case, various operations can be greatly simplified.

  On the other hand, if it is determined in step S107 that the transmission error amounts E have been calculated for all the tooth surface correction amount groups G, the calculation unit 6 proceeds to step S108, and the above-described steps for all finishing methods are performed. It is checked whether or not the transmission error amount E has been calculated in S103 to S107.

  If it is determined in step S108 that the transmission error amount E has not yet been calculated for all finishing methods, the calculation unit 6 returns to step S102. On the other hand, when it is determined in step S108 that the transmission error amount E has been calculated for all finishing methods, the calculation unit 6 proceeds to step S109.

When the process proceeds from step S108 to step S109, the calculation unit 6 selects any one finishing method from shaving, honing, or dental grinding, and in the subsequent step S110, a target value map (see FIG. 14 to 16), for example, is there a tooth surface correction amount group G in which all the transmission error amounts E when the processing error in the currently selected finishing method is not considered are distributed within the target value? Check for no. That is, in step S110, the calculation unit 6 determines that each machining error is zero (that is, Te _Dv1 = from among the transmission error amounts E calculated for each tooth surface correction amount group G for the currently selected finishing method). _{Re Dv1 = Ce Dv1 = Le Dv1} = Ble Dv1 = Bre Dv1 = Te Dv2 = Re Dv2 = Ce Dv2 = Le Dv2 = Ble Dv2 = Bre Dv2 = Te Dn1 = Re Dn1 = Ce Dn1 = Le Dn1 = Ble Dn1 = Bre Dn1 = Te _Dn2 = Re _Dn2 = Ce _Dn2 = Le _Dn2 = Ble _Dn2 = Bre _Dn2 = 0) Each transmission error amount when the gear pairs are meshed under each meshing condition is extracted (hereinafter each extracted transmission The error amount is expressed as E ₀ in particular). Then, it is examined whether or not there is a tooth surface correction amount group G in which all of the extracted transmission error amounts E ₀ are distributed within the target value.

As a result, in step S110, if all the transmission error amount E ₀ is determined to tooth surface modification amount group G distributed in the target value does not exist, calculating unit 6 moves to step S114. On the other hand, when it is determined in step S110 that there is a tooth surface correction amount group G in which all of the transmission error amount E ₀ is distributed within the target value, the arithmetic unit 6 proceeds to step S111.

When the process proceeds from step S110 to step S111, the calculation unit 6 selects the best tooth surface from the tooth surface correction amount group G in which all of the transmission error amount E ₀ is distributed within the target value in the currently selected finishing method. The correction amount group G is extracted. The extraction of the best tooth surface correction amount group G can be performed, for example, by comparing the worst values (maximum values) of the transmission error amounts E ₀ corresponding to the tooth surface correction amount groups G. is there. In addition, for example, the best tooth surface error correction amount G may be extracted by comparing the average values of the transmission error amounts E ₀ corresponding to the tooth surface correction amount groups G.

  In step S112, the calculation unit 6 refers to the threshold map of the transmission error amount E (see FIGS. 15 and 16), and all the transmission errors corresponding to the tooth surface correction amount group G extracted in step S111. It is checked whether or not a set ratio or more (for example, 99.7% or more) of the amount E is distributed within the threshold value.

  As a result, when it is determined that the set ratio or more of all the transmission error amounts E corresponding to the tooth surface correction amount group G extracted in step S111 is not distributed within the threshold value, the arithmetic unit 6 returns to step S110. The same processing is repeated based on each tooth surface correction amount group excluding the extracted tooth surface correction amount group G.

  On the other hand, when it is determined that the set ratio or more of all the transmission error amounts E corresponding to the tooth surface correction amount group G extracted in step S111 is distributed within the threshold, the calculation unit 6 proceeds to step S113. After the design tooth surface correction amount of the gear pair is set based on the tooth surface correction amount group G currently being extracted, the process proceeds to step S114.

  When the process proceeds from step S110 or step S113 to step S114, the calculation unit 6 checks whether or not all finishing methods have been selected by the process of step S109 described above. If it is determined in step S114 that selection of all finishing methods has not been completed, the arithmetic unit 6 returns to step S109.

  On the other hand, when it is determined in step S114 that selection of all finishing methods has been completed, the calculation unit 6 proceeds to step S115, and the best finishing method and design tooth surface correction amount are selected from shaving, honing, or tooth grinding. After determining, exit the routine. In this case, for example, the calculation unit 6 selects the finishing method in the priority order of shaving, honing, and tooth polishing from the finishing methods in which the effective design tooth surface correction amount is set in step S113 described above. That is, for example, when an effective design tooth surface correction amount is set for all finishing methods, the calculation unit 6 uses shaving that can be processed most easily and easily as the final finishing method. The design tooth surface correction amount corresponding to the shaving is selected and determined as the final design tooth surface correction amount. Further, for example, when the design tooth surface correction amount effective for shaving is not set and the design tooth surface correction amount effective for honing and tooth polishing is set, the calculation unit 6 is less expensive than tooth polishing. A honing capable of easily performing tooth surface processing is selected as a final finishing method, and a design tooth surface correction amount corresponding to the honing is determined as a final design tooth surface correction amount. On the other hand, for example, when a design tooth surface correction amount effective for shaving and honing is not set and a design tooth surface correction amount effective only for tooth grinding is set, the arithmetic unit 6 performs tooth grinding. The final finishing method is selected, and the design tooth surface correction amount corresponding to the tooth grinding is determined as the final design tooth surface correction amount.

  Here, the design apparatus 1 generates other various information based on the above-described various calculation results in addition to the information such as the final finishing method and the design tooth surface correction amount, and outputs the output unit such as the display apparatus 13 or the like. 8 can also be displayed. That is, for example, as shown in FIG. 23, the design apparatus 1 can display a motion curve (transmission error displacement waveform) under a predetermined torque condition. Also, for example, as shown in FIG. 24, the motion curve can be subjected to FFT (Fast Fourier Transform) processing, and the amplitude for each order can be displayed. Also, for example, as shown in FIG. 25, a transmission error frequency map indicating the frequency of occurrence for each predetermined transmission error range can be displayed for each predetermined torque range. Also, for example, as shown in FIG. 26, the transmission error torque characteristic indicating the torque characteristic in the transmission error range where the transmission error occurrence frequency is equal to or higher than the set frequency (for example, 99.7%) is set together with the target value of the tooth surface. It is also possible to display. Further, for example, as shown in FIG. 27, a frequency map indicating the frequency of occurrence of a transmission error below a target value (for example, 0.45 μm) can be displayed for each predetermined torque range or for each predetermined torque.

According to such an embodiment, each tooth surface correction amount T _Dv1 , R _Dv1 , C _Dv1 , L _Dv1 , Bl _Dv1 , Br _Dv1 , T _Dv2 , R _Dv2 , C _Dv2 , L _Dv2 , Bl _Dv2 , Br _Dv2 , Br _Dv2 , Br _Dv2 T _Dn1 , R _Dn1 , C _Dn1 , L _Dn1 , Bl _Dn1 , Br _Dn1 , T _Dn2 , R _Dn2 , C _Dn2 , L _Dn2 , Bl _Dn2 , Br _Dn2 is a combination of the amounts of teeth that are changed. For each tooth surface correction amount group G, a plurality of patterns of gear pairs that can be manufactured within a processing error range when a plurality of G patterns are set, and each tooth surface correction amount is given to the reference tooth surface and the tooth surface processing is performed. Simulation is performed to calculate tooth surface error distribution information of each tooth surface in each gear pair, and all simulations are performed within the set machining error range for each tooth surface correction amount group G. Each transmission error amount E when the driving gear and the driven gear are engaged with each other under a plurality of preset meshing conditions is calculated based on the corresponding tooth surface error distribution information, and each transmission is performed. By extracting the best tooth surface correction amount group G from the tooth surface correction amount group G in which the set ratio or more of the error amount E is within the threshold value, a good gear pair that can withstand practical use is processed with high yield. Therefore, a suitable tooth surface correction amount group G can be easily set without depending on the experience of the operator. Then, by performing such calculation using each machining error range set for each finishing method, the best tooth surface correction amount group G for each finishing method is obtained, and the best tooth surface correction amount group G is set. By selecting the final finishing method according to the preset priorities from among the finishing methods that have been used, it is possible to efficiently process good gear pairs that can withstand practical use without depending on the operator's experience, etc. Therefore, design information can be easily set.

  At that time, each tooth corresponding to the center of the effective tooth surface, the four corners of the effective tooth surface, and the center of each side surrounding the effective tooth surface on the drive side and coast side reference tooth surfaces of the driving gear and the driven gear, respectively. By adding a surface correction amount and each processing error amount, generating tooth surface error distribution information of 3 rows × 3 columns and interpolating the tooth surface error distribution information makes it possible to perform effective calculation over the entire effective tooth surface Can be calculated.

  Further, when extracting the final tooth surface correction amount group G for setting the design tooth surface correction amount, the transmission error amount E satisfying the setting requirement among the transmission error amounts E corresponding to the tooth surface correction amount group G. Is evaluated based on the target value to narrow down the tooth surface error correction amount group G to be extracted, and the final tooth surface correction amount group G is extracted from the narrowed tooth surface error correction amount group G. Thus, it is possible to realize extraction of a preferred tooth surface correction amount group G. That is, among the gear pairs that can be machined based on the tooth surface correction amount group G, each transmission error of a gear pair that is particularly likely to be machined (for example, a gear pair with zero machining error for each item). The amount E is evaluated based on a target value that is stricter than the threshold, and the tooth surface error correction amount group G to be extracted is narrowed down based on the evaluation result, thereby extracting a suitable tooth surface correction amount group G. Can be realized.

Further, a dynamic assembly error amount D generated in accordance with the torque Tq granted to gear pair (food違誤difference D _devi and parallel error D _incl), the displacement of the drive gear and the driven gear in meshing model on simulation It is best to calculate for each predetermined torque based on the amount (that is, each amount of the drive gear and the driven gear from the no-load state), and use these dynamic assembly errors as meshing conditions in the transmission error analysis. The extraction of the tooth surface correction amount group G can be realized with high accuracy. That is, the assembly error D generally varies nonlinearly with respect to the torque Tq on an actual machine, but such an assembly error D is highly accurate based on the displacement amounts of the drive gear and the driven gear. It is possible to realize suitable analysis and the like by obtaining the above.

  Of course, the items set as the tooth surface correction amount are not limited to those described above.

  Further, in the above-described embodiment, an example in which the target value and the threshold value are used together when extracting the tooth surface correction amount group G based on each transmission error amount E has been described, but the present invention is limited to this. Instead, for example, the tooth surface correction amount group G may be extracted based only on the threshold value.

Schematic configuration diagram of gear pair design device Schematic showing an example of a computer for realizing a gear pair design device Flow chart showing design tooth surface correction amount setting routine of gear pair Flow chart showing tooth surface error calculation subroutine Flow chart showing transmission error amount calculation subroutine Explanatory drawing which shows the correction amount input point set on the tooth surface Explanation of tooth tip correction amount and tooth base correction amount (A) is explanatory drawing of crowning correction amount, (b) is explanatory drawing of tooth trace taole correction amount. Illustration of bias correction amount Explanatory drawing which shows the extraction area | region of tooth surface error data when the tooth width of a drive gear is larger 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 Explanatory drawing which shows an example of relative tooth surface error distribution displayed by contour lines Explanatory drawing of the amount of transmission error in the no-load state derived from the relative tooth surface error distribution Map showing an example of target value of transmission error Map showing target value and threshold value of transmission error amount along line II in FIG. Map showing target value and threshold value of transmission error along line II-II in FIG. Schematic configuration diagram of gear pairs Explanatory drawing showing an example of tolerance range input screen Illustration of the difference error and parallel error Explanatory drawing which shows an example of the relationship between the drive gear shaft torque and displacement at each measurement point Explanatory drawing showing an example of dynamic deflection An explanatory view showing an example of dynamic deflection of a gear pair on an actual machine Explanatory drawing showing an example of a motion curve of a gear pair in a predetermined load state on an actual machine Explanatory drawing which shows an example of the meshing order component (amplitude value) of a transmission error displacement Explanatory diagram showing an example of a transmission error frequency map Explanatory drawing showing an example of transmission error torque characteristics Explanatory drawing which shows an example of the frequency map which shows the generation frequency of the transmission error below a target value

DESCRIPTION OF SYMBOLS 1 ... Design apparatus 5 ... Input part 6 ... Calculation part (tooth surface correction amount group setting means, tooth surface error information calculation means, transmission error amount calculation means, tooth surface correction amount group extraction means, assembly error amount calculation means)
DESCRIPTION OF SYMBOLS 7 ... Memory | storage part 8 ... Output part 100 ... Gear pair 101 ... Drive gear (drive gear)
102 ... Driven gear (driven gear)

Claims (5)

Set the final design tooth surface correction amount to be used for gear pair processing by giving multiple items of tooth surface correction amount to each reference tooth surface set by the basic specifications of the driving gear and driven gear meshing with each other A gear pair design device,
Tooth surface correction amount group setting means for setting a plurality of patterns of tooth surface correction amount groups each consisting of a combination of values obtained by changing the respective tooth surface correction amounts;
A plurality of patterns of gear pairs that can be manufactured within a set machining error range when performing tooth surface processing by applying each tooth surface correction amount to the reference tooth surface, for each tooth surface correction amount group, Tooth surface error information calculating means for calculating tooth surface error distribution information for the reference tooth surface of the driving gear and tooth surface error distribution information for the reference tooth surface of the driven gear in each gear pair;
An assembly error amount calculating means for calculating a dynamic assembly error amount generated according to the torque applied to the gear pair for each predetermined torque based on the displacement amounts of the drive gear and the driven gear;
For all the gear pairs simulated within the set machining error range for each tooth surface correction amount group, the drive gear and the driven gear are meshed under a plurality of meshing conditions including the assembly error amount as a parameter. A transmission error amount calculating means for calculating each transmission error amount based on each corresponding tooth surface error distribution information;
A tooth surface correction amount group extracting means for extracting the best tooth surface correction amount group from the tooth surface correction amount group when the calculated tooth error amount group satisfies the set condition. And a gear pair design apparatus.   The assembling error amount calculating means includes the displacement amounts of the drive gear at four target positions on a concentric circle centered on the drive gear shaft when torque is applied to the gear pair, and the driven gear shaft. Based on the displacement amounts of the driven gears at the four target positions on the concentric circles, and a misalignment error amount that is an assembling error amount in the misalignment direction of each gear shaft, and the parallelism of each gear shaft. 2. The gear pair design apparatus according to claim 1, wherein a parallel error amount that is an assembly error amount in a direction is calculated. Set the final design tooth surface correction amount to be used for gear pair processing by giving multiple items of tooth surface correction amount to each reference tooth surface set by the basic specifications of the driving gear and driven gear meshing with each other A gear pair design program for
Tooth surface correction amount group setting step for setting a plurality of patterns of tooth surface correction amount groups each consisting of a combination of values obtained by changing the respective tooth surface correction amounts;
A plurality of patterns of gear pairs that can be manufactured within a set machining error range when performing tooth surface processing by applying each tooth surface correction amount to the reference tooth surface, for each tooth surface correction amount group, Tooth surface error information calculating step for calculating tooth surface error distribution information for the reference tooth surface of the driving gear and tooth surface error distribution information for the reference tooth surface of the driven gear in each gear pair,
An assembly error amount calculating step for calculating a dynamic assembly error amount generated according to the torque applied to the gear pair for each predetermined torque based on the displacement amounts of the drive gear and the driven gear;
For all the gear pairs simulated within the set machining error range for each tooth surface correction amount group, the drive gear and the driven gear are meshed under a plurality of meshing conditions including the assembly error amount as a parameter. A transmission error amount calculating step for calculating each transmission error amount when they are combined based on each corresponding tooth surface error distribution information;
A tooth surface correction amount group extracting step for extracting the best tooth surface correction amount group from the tooth surface correction amount group when the calculated tooth error amount group satisfies the set condition. And a gear pair design program. Set the final design tooth surface correction amount to be used for gear pair processing by giving multiple items of tooth surface correction amount to each reference tooth surface set by the basic specifications of the driving gear and driven gear meshing with each other A gear pair design method for
Tooth surface correction amount group setting step of setting a plurality of patterns of tooth surface correction amount groups consisting of combinations of values obtained by changing the respective tooth surface correction amounts,
A plurality of patterns of gear pairs that can be manufactured within a set machining error range when performing tooth surface processing by applying each tooth surface correction amount to the reference tooth surface, for each tooth surface correction amount group, Tooth surface error information calculating step for calculating tooth surface error distribution information for the reference tooth surface of the driving gear and tooth surface error distribution information for the reference tooth surface of the driven gear in each gear pair,
An assembly error amount calculating step for calculating a dynamic assembly error amount generated according to the torque applied to the gear pair for each predetermined torque based on the displacement amounts of the drive gear and the driven gear;
For all the gear pairs simulated within the set machining error range for each tooth surface correction amount group, the drive gear and the driven gear are meshed under a plurality of meshing conditions including the assembly error amount as a parameter. A transmission error amount calculating step for calculating each transmission error amount when the two are combined based on the corresponding tooth surface error distribution information;
A tooth surface correction amount group extracting step of extracting the best tooth surface correction amount group from the tooth surface correction amount group when the calculated tooth error amount group satisfies the set condition. And a gear pair design method.   A gear pair obtained by performing tooth surface processing of a driving gear and a driven gear based on the best tooth surface correction amount group extracted by the gear pair design apparatus according to claim 1.

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