JP6049137B2 - Gear pair design equipment - Google Patents

Description

  The present invention relates to a gear pair design apparatus in which one tooth surface of a gear meshing with each other is created into a non-conjugated tooth surface by tooth surface modification.

  Generally, in a gear pair such as a bevel gear and a hypoid gear, the tooth surface shape (actual tooth surface shape) of each gear used for practical use is not a theoretically conjugate tooth surface expressed mathematically, and can be processed. Approximate tooth surface shape. That is, a gear pair such as a hypoid gear that is practically used is generally a non-conjugated tooth surface in which tooth surface correction (tooth cutting) is performed on the conjugate tooth surface.

  For such tooth surface modification, the Gleason method or the like is widely used. For example, in the Gleason type hypoid gear gear cutting method, the pinion gear cutting is performed by the direct creation method such as the Formate method or the Helixiform method. Is done. And in this kind of gear pair, the strength evaluation, vibration noise evaluation, etc. are performed based on the tooth contact analysis (for example, refer patent document 1) of the created real tooth surface. Such tooth surface correction and evaluation of the gear pair are repeatedly performed, and thereby it is possible to obtain a gear pair that secures desired characteristics (performance).

WO 2006/112369

  However, since it is difficult to intuitively understand the tooth surface shape after creation from various specifications set in the processing machine when performing the tooth surface processing as described above, this type of processing machine setting Greatly depends on the experience of the operator. Therefore, in order to reduce the load on the operator or the like, it is effective to make the operator or the like know the tooth surface information that is an index for obtaining a desired characteristic in advance.

  The present invention has been made in view of the above circumstances, and an object thereof is to provide a gear pair design apparatus capable of presenting tooth surface information for obtaining desired characteristics to an operator or the like.

A gear pair designing apparatus according to an aspect of the present invention includes a first gear of the first gear that is determined based on specifications indicating a basic shape and an assembled state of a first gear and a second gear that mesh with each other. Of the conjugate tooth surface and the second conjugate tooth surface of the second gear, the second conjugate tooth surface is generated as a non-conjugate tooth surface by tooth surface modification, and the first conjugate is used as characteristic information of the gear pair. The locus of the contact point between the tooth surface and the non-conjugated tooth surface, the transmission error information on the locus of the contact point, and the gap information on the contact line between the first conjugate tooth surface and the non-conjugated tooth surface , And the transmission error information and the gap information are three-dimensionally synthesized on the first conjugate tooth surface and the first conjugate tooth surface and the non-conjugated tooth. comprising a calculating means for calculating a Isuofu showing a three-dimensional distribution information of the gap between the relative tooth surface with the surface, the The calculation means includes the contact on the first conjugate tooth surface in which the transmission error information and the gap information are normalized with respect to a distance to a toe having a heel as an origin and a distance to a face having a root as an origin. Converting into a function that fluctuates along the locus of the point and a function that fluctuates along the simultaneous contact line direction, and calculates the ease-off by adding the converted transmission error information and the gap information, and the calculation The means includes the contact line angle of the second conjugate tooth surface and the average of the second conjugate tooth surfaces as the meshing information of the second conjugate tooth surface with the normalized first conjugate tooth surface. A tooth interval is calculated, and based on the mesh information, the transmission error information and the gap information are converted into normalized functions on the first conjugate tooth surface, and the calculation means includes the first conjugate tooth. Starting from the heel on the surface Each grid point set in a matrix in the tooth trace direction to be performed and the tooth height direction starting from the route, and each of the first gears when each grid point contacts the second conjugate tooth surface Based on the relationship with the rotation angle, the rotation angle of the first gear when the second conjugate tooth surface contacts at an arbitrary point on the normalized first conjugate tooth surface is obtained, and the rotation The meshing information is calculated based on a distribution of arbitrary points with equal angles .

  According to the gear pair designing apparatus of the present invention, tooth surface information for obtaining desired characteristics can be presented to an operator or the like.

Perspective view of hypoid gear Schematic configuration diagram of gear pair design device Schematic configuration diagram showing an example of a computer system for realizing a gear pair design device Characteristic diagram showing an example of tooth surface variation function (transmission error) on each contact point input by the user Characteristic diagram showing an example of the gap function on the contact line input by the user Explanatory drawing showing normalized dimensionless gear tooth surface Flow chart showing tooth surface information calculation routine Characteristic diagram showing drive-side ease-off calculated under specified calculation conditions Characteristic chart showing coast-side ease-off calculated under specified calculation conditions Characteristic chart showing the tooth surface distance distribution on the drive side when tooth contact analysis is performed using the gear conjugate tooth surface and the pinion non-conjugate tooth surface theoretically defined from the ease-off of FIGS. Characteristic diagram showing the tooth surface distance distribution on the coast side when tooth contact analysis is performed using the gear conjugate tooth surface and the pinion non-conjugate tooth surface theoretically defined from the ease-off in FIGS. Characteristic chart showing fluctuation of backlash when tooth contact analysis is performed using gear conjugate tooth surface and pinion non-conjugate tooth surface which is theoretically defined from ys-off in FIGS. Characteristic chart showing the drive-side tooth surface variation function when tooth contact analysis is performed using the gear conjugate tooth surface and the pinion non-conjugate tooth surface theoretically defined from the ease-off of FIGS. Characteristic chart showing the tooth surface variation function on the coast side when tooth contact analysis is performed using the gear conjugate tooth surface and the pinion non-conjugate tooth surface theoretically defined from the ease-off of FIGS. Characteristic diagram showing drive-side ease-off calculated under specified calculation conditions Characteristic chart showing coast-side ease-off calculated under specified calculation conditions Characteristic chart showing tooth surface distance distribution on the drive side when tooth contact analysis is performed using a gear conjugate tooth surface and a pinion non-conjugate tooth surface that is theoretically defined from the ease-off of FIGS. Fig. 15 is a characteristic diagram showing a tooth surface distance distribution on the coast side when tooth contact analysis is performed using a gear conjugate tooth surface and a pinion non-conjugate tooth surface that is theoretically defined from the ease-off of Figs. Characteristic chart showing fluctuation of backlash when tooth contact analysis is performed using gear conjugate tooth surface and pinion non-conjugate tooth surface theoretically defined from ease-off of FIGS. FIG. 15 is a characteristic diagram showing a tooth side variation function on the drive side when tooth contact analysis is performed using a gear conjugate tooth surface and a pinion non-conjugate tooth surface theoretically defined from the ease-off of FIGS. FIG. 15 is a characteristic diagram showing a coast side tooth surface variation function when tooth contact analysis is performed using a gear conjugate tooth surface and a pinion non-conjugate tooth surface theoretically defined from the ease-off of FIGS.

  Hereinafter, embodiments of the present invention will be described with reference to the drawings. FIG. 1 is a perspective view of a hypoid gear, FIG. 2 is a schematic configuration diagram of a gear pair design apparatus, and FIG. 3 is an example of a computer system for realizing the gear pair design apparatus. 4 is a characteristic diagram showing an example of a tooth surface variation function (transmission error) on each contact point inputted by the user, and FIG. 5 is a characteristic diagram showing an example of a gap function on the contact line inputted by the user. FIG. 6 is an explanatory diagram showing a normalized dimensionless gear tooth surface, FIG. 7 is a flowchart showing a tooth surface information calculation routine, and FIG. 8 is a characteristic diagram showing drive-side ease-off calculated under predetermined calculation conditions. 9 is a characteristic diagram showing coast-side ease-off calculated under predetermined calculation conditions, and FIG. 10 is a tooth contact analysis using a gear conjugate tooth surface and a pinion non-conjugated tooth surface theoretically defined from the ease-off in FIGS. Dry when performing FIG. 11 is a characteristic diagram showing the tooth surface distance distribution on the side, and FIG. 11 is a coast side when tooth contact analysis is performed using a gear conjugate tooth surface and a pinion non-conjugate tooth surface theoretically defined from the ease-off of FIGS. Fig. 12 is a characteristic diagram showing the tooth flank distance distribution, and Fig. 12 shows the backlash of the backlash when the tooth contact analysis is performed using the gear conjugated tooth surface and the pinion non-conjugated tooth surface theoretically defined from the ease-off of Figs. FIG. 13 is a characteristic diagram showing the variation, and FIG. 13 shows the tooth surface variation function on the drive side when the tooth contact analysis is performed using the gear conjugate tooth surface and the pinion non-conjugate tooth surface theoretically defined from the ease-off of FIGS. FIG. 14 shows a coast side tooth surface variation function when the tooth contact analysis is performed using the gear conjugate tooth surface and the pinion non-conjugate tooth surface theoretically defined from the ease-off of FIGS. The characteristic diagram shown in FIG. 15 is calculated under predetermined calculation conditions. FIG. 16 is a characteristic diagram showing coast-side ease-off calculated under a predetermined calculation condition, and FIG. 17 is a theoretical view of pinion non-definition defined from the gear conjugate tooth surface and the ease-off of FIGS. FIG. 18 is a characteristic diagram showing a tooth surface distance distribution on the drive side when tooth contact analysis is performed using a conjugate tooth surface, and FIG. 18 is a pinion non-conjugate theoretically defined from the gear conjugate tooth surface and the ease-off of FIGS. FIG. 19 is a characteristic diagram showing the tooth side distance distribution on the coast side when tooth contact analysis is performed using the tooth surface. FIG. 19 is a pinion non-conjugated tooth theoretically defined from the gear conjugate tooth surface and the ease-off of FIGS. FIG. 20 shows a gear conjugate tooth surface and a pinion non-conjugated tooth surface that is theoretically defined from the ease-off of FIGS. 15 and 16. Toothpaste FIG. 21 is a characteristic diagram showing a tooth side variation function on the drive side when the analysis is performed, and FIG. 21 shows a tooth contact using a gear conjugate tooth surface and a pinion non-conjugated tooth surface theoretically defined from the ease-off of FIGS. It is a characteristic view which shows the tooth surface variation function of the coast side at the time of analyzing.

  The gear pair 100 shown in FIG. 1 is, for example, a hypoid gear, and this gear pair 100 is a first gear (hereinafter also referred to as a gear) 101G that is one gear having a large diameter and the other gear having a small diameter. And a second gear (hereinafter also referred to as a pinion) 101P.

  Each tooth surface constituting the gear 101G and the pinion 101P of the gear pair 100 is processed using, for example, a face hob type cutter head (not shown). Specifically, for example, the gear tooth surface 102G (the convex tooth surface 102Ga and the concave tooth surface 102Gb) constituting the gear 101G is a conjugate tooth surface (first conjugate tooth surface), and the gear tooth surface 102G is a cutter. It is molded using the head. On the other hand, for example, the pinion tooth surface 102P (convex tooth surface 102Pa and concave tooth surface 102Pb) constituting the pinion 101P is a non-conjugated tooth surface, and this pinion tooth surface 102P is created using a cutter head. That is, the pinion tooth surface 102P is a non-conjugated tooth surface created by performing tooth surface correction on the conjugate tooth surface (second conjugate tooth surface) with a predetermined tooth surface correction amount. The conjugate tooth surfaces of the gear 101G and the pinion 101P described above are uniquely determined based on the basic shape of the gear and specifications indicating the assembled state.

  A processing machine that performs such tooth surface processing (gear cutting) includes, for example, specifications for defining the basic shapes of the gear 101G and the pinion 101P as the specifications of the gear pair 100, the gear 101G and the pinion 101P. And specifications for defining the assembly state, and specifications for defining the tooth surface correction amount of the pinion 101P are set. And a processing machine performs a tooth surface process based on these set specifications.

  Prior to such processing machine setting, in order to present the tooth surface information of a gear pair having a desired performance to an operator or the like, for example, in the gear pair design apparatus 1 shown in FIG. As tooth surface information for providing desired characteristics (transmission error characteristics and clearance characteristics) between tooth surfaces, a conjugate gear tooth surface (gear conjugate tooth surface) and a non-conjugated pinion tooth surface (pinion non-conjugated tooth) Ease-off indicating the relative tooth surface information with respect to the surface) is calculated.

  The design apparatus 1 is based on an input unit 5 as input means for inputting various specifications of the gear pair 100 to be designed, characteristics desired by an operator, and the like, and input information such as specifications and characteristics of the gear pair 100. The calculation unit 6 as a calculation means for performing various calculations, the various calculation programs executed by the calculation unit 6 and the like, the storage unit 7 for appropriately storing the input information from the input unit 5, and the calculation unit 6 And an output unit 8 for outputting a calculation result or the like. In addition, the design apparatus 1 of this embodiment is implement | achieved by the computer system 10 shown in FIG. 3, for example. The computer system 10 includes, for example, a computer main body 11, a keyboard 12, a display device 13, and a printer 14 that are connected via a cable 15 to constitute a main part. In this computer system 10, for example, various drive devices, a keyboard 12, and the like disposed in the computer main body 11 function as the input unit 5, and a CPU, ROM, RAM, and the like built in the computer main body 11 are arithmetic units. 6 functions. 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.

In the present embodiment, the input unit 5 includes, for example, specifications indicating the basic shape of the gear pair 100 to be designed (for example, the cone angle, the twist angle, the pitch circle radius, etc. of the gear 101G and the pinion 101P). is input, specifications showing an assembled state of the gear pair 100 (e.g., the gear ratio (the gear number of teeth N _G and pinion tooth number N _P), offset E, crossing angle Σ, and the like (see FIG. 1)) is input The

Further, the input unit 5 includes, as characteristic information desired for the gear pair 100 to be designed, a locus of contact points of the pinion tooth surface (non-conjugated tooth surface) 102P with respect to the gear tooth surface (conjugate tooth surface) 102G, The transmission error information on each contact point and the gap information on the contact line between the gear tooth surface (conjugate tooth surface) 102G and the pinion tooth surface (non-conjugate tooth surface) 102P are input. Further, the input unit 5, as the characteristic information desired to gear pair 100 to be designed, backlash B _L of the gear tooth surface 102G and the pinion tooth surface 102P is input.

Here, in this embodiment, the transmission error information on the contact point trajectory is normalized for one tooth (that is, assuming that one tooth interval (2π / number of teeth) is “1”) as shown in FIG. Given function (motion curve) y (x) [μ radian]. Further, the gap information on the contact line is given by, for example, a function e (a) [μm] standardized with a tooth width of “1” as shown in FIG. The characteristics illustrated in FIGS. 4 and 5 indicate, for example, characteristics on the drive side (the convex tooth surface 102Ga side of the gear tooth surface 102G), and the coast side (the concave tooth surface 102Gb side of the gear tooth surface 102G). In the same way, predetermined characteristic information is input.

  In addition, it is possible to input various calculation conditions to the input unit 5 when performing an later-described calculation of ease-off. Specifically, for example, as a type of contact point locus used for the calculation of ease-off, a “penetration type” in which the contact point locus penetrates from the root on the gear tooth surface to the face is adopted, or the contact point locus is a pinion. It is possible to set and input whether to adopt a “Z shape” that bends in a crank shape at the effective tooth tip position and the gear effective tooth tip position. Further, for example, as a variable distance unit of transmission error used for the calculation of ease-off (that is, a distance unit on the horizontal axis of the characteristic diagram shown in FIG. 4), the one-tooth interval is converted into a distance unit along the contact point locus. It is possible to set and input whether to adopt a “tooth type” or a converted “one-tooth type”. Furthermore, for example, as the contact width distance unit of the gap used for the EAS-off calculation (that is, the distance unit on the horizontal axis of the characteristic diagram shown in FIG. 5), the tooth width is converted into the distance unit along the simultaneous contact line. It is possible to set and input whether to adopt a “type” or a “tooth width type” that is not converted.

  Next, the tooth surface information (eas-off) calculation process executed in the calculation unit 6 will be described with reference to the flowchart of the tooth surface information calculation routine shown in FIG. Here, in the present embodiment, the calculation unit 6 calculates desired transmission error information and gap information on the coordinates of the dimensionless tooth surface obtained by standardizing the gear tooth surface (gear conjugate tooth surface) including the conjugate tooth surface. By synthesizing, tooth surface information is calculated. Note that such calculation of tooth surface information is performed on the drive side (for example, the right tooth surface side) and the coast side (for example, the left tooth surface side) with reference to the gear tooth surface 102G in the gear pair 100 to be designed. Although these are respectively performed, since these are substantially the same processing, the description of the coast side processing will be omitted as appropriate in the following description of the flowchart.

  When this routine starts, the calculation unit 6 first reads from the storage unit 7 the above-described various input information input through the input unit 5 in step S101.

  In the subsequent step S102, the calculation unit 6 determines each conjugate tooth surface (gear conjugate tooth surface) of the gear 101G and the pinion 101P based on the specifications and assembly specifications indicating the basic shape of the gear pair 100 to be designed. , And the pinion conjugate tooth surface). In addition, for example, as for information of each conjugate tooth surface of the gear 101G and the pinion 101P, it is possible to input information calculated in advance through the input unit 5.

In subsequent step S103, the calculation unit 6 normalizes the information of the gear conjugate tooth surface obtained in step S102, and generates a dimensionless tooth surface. In other words, for example, as shown in FIG. 6, the calculation unit 6 standardizes the gear conjugate tooth surface so that the distance from the heel to the toe is “1” and the distance from the root to the face is “1”. Is generated. Here, on the gear conjugate tooth surface standardized in this way, for example, the coordinate r _j of the tooth trace direction with the heel being “0 (origin)” and the toe being “1”, and the route being “0 ( Cartesian coordinate consisting of the tooth depth direction of the coordinate r _i which is the origin) "to the face" 1 "is given. Further, on the gear conjugate tooth surface (dimensionalless coordinate system) thus standardized, the contact point locus angle β, the pinion effective tooth tip position r _il , the gear effective tooth tip position based on various input information and the like. _riu etc. are uniquely given.

  In subsequent step S104, the calculation unit 6 uses the contact line angle α of the pinion conjugate tooth surface as the engagement information when it is assumed that the normalized pinion conjugate tooth surface meshes with the normalized gear conjugate tooth surface, and Then, an average single tooth interval p of the pinion conjugate tooth surface is calculated.

In calculating the contact line angle α and the average tooth spacing p, the calculation unit 6 first calculates the gear rotation angle ω when each lattice point set on the gear conjugate tooth surface comes into contact with the pinion conjugate tooth surface. To do. That is, on the gear conjugate tooth surface, for example, the lattice number counting in the tooth trace direction starting from the heel is j (j = 1 to n _j ), and the lattice number counting in the tooth height direction starting from the root is i. A plurality of (for example, 3 × 4) lattice points (i = 1 to n _i ) are set in advance in a matrix. Therefore, the calculation unit 6 calculates a gear rotation angle ω _ji when the gear conjugate tooth surface contacts the pinion conjugate tooth surface at each lattice point (j, i).

Then, calculating unit 6, the gear rotation angle omega _ji at each grid point _{(j, i), r j} -r i Cartesian coordinates on the following (1) is approximated to (3), (1 ) The coefficients a _ωj , a _ωi , and a _ω in the equation are obtained by solving the equation (4) using the least square method.

As a result, the gear rotation angle ω when the pinion conjugate tooth surface contacts at an arbitrary point (r _j , r _i ) on the normalized gear conjugate tooth surface can be obtained using the equation (1). Become. In other words, by using the relationship of the expression (1), it is possible to obtain a coordinate group (that is, a simultaneous contact line) in which the values of the gear rotation angle ω are equal.

And the calculating part 6 uses the relationship of (1) Formula, for example by the following (5) Formula and (6) Formula, the contact line angle (alpha) of a pinion conjugate tooth surface, and average 1 tooth | gear space | interval p Ask for.

In subsequent step S105, the calculation unit 6 normalizes the transmission error information (that is, the transmission error function y (x)) on the contact point locus and the gap information (that is, the gap function e (a)) on the contact line. The function is converted into a function on the gear conjugate tooth surface, and the post-conversion transmission error information and the gap information are added to calculate the ease-off F _ji .

By the way, the transmission error information varies along the contact point locus, and the gap information varies along the simultaneous contact line direction. Therefore, calculation unit 6, first, the r _j -r _i orthogonal coordinate system by the following equation (7) and (8), the coordinates along the contact point trajectory is a, and, along the simultaneous contact line direction Convert to ab non-orthogonal coordinate system with coordinates b.

Here, in the equation (8), r _jO and r _iO are, for example, reference point coordinates (reference point non-dimensional coordinates) arbitrarily set by an operator or the like with respect to the gear conjugate tooth surface.

Then, calculating unit 6, using a-b a non-orthogonal coordinate system, the following (9.1) to (16), calculates the Isuofu _{F ji.}

  Here, the first term on the right side in the equation (16) is a term relating to the gap e (a). In this section, e ′ is a gap function given by equation (13). In the equation (13), a 'is a variable representing the gap function horizontal axis and the shift of a, and takes a different value depending on the type of the contact point locus set and input by the operator or the like. That is, when the type of the contact point locus is “Z type”, a ′ is given by Equation (9) using Equations (9.1) to (9.5). In the case of “penetrating type”, a ′ is given by the equation (10).

Further, the c _a in (13), a coefficient indicating the gap function distance unit, a different value depending on the contact width distance units of the gap that has been set and input by an operator or the like. That is, when the contact width distance unit of the gap is “converted tooth width type (non-dimensional type)”, _ca is given by the equation (11), and the contact width distance unit of the gap is “tooth width type”. In this case, c _a is given by equation (12).

U _ji in the equation (13) is a coefficient indicating the angle radius of the conjugate tooth surface point of the gear lattice (j, i) and the converted radius of the outward tooth surface normal direction distance. This is to unify the unit system between the gap information given by [μm] and the transmission error information given by [μ radian].

Further, the second term on the right side in the equation (16) is a term relating to the transmission error y (x). In this section, c _b is a coefficient indicating the variation function distance unit, and takes a different value depending on the variation distance unit of the transmission error set and input by an operator or the like. That is, when the transmission error fluctuation distance unit is “converted single-tooth type (non-dimensional type)”, c _b is given by equation (14), and the transmission error fluctuation distance unit is “single-tooth type”. In this case, _cb is given by equation (15).

Further, the third term on the right side in the equation (16) is a term relating to the backlash _BL . This term is a term that can be omitted as appropriate when only the ease-off is desired. However, this term is necessary when the ease-off is obtained as a tooth surface correction amount for the pinion conjugate tooth surface. In this section, R _BL is a coefficient indicating the converted radius in the backlash direction in terms of angular coordinates, and this coefficient is also for unifying the unit system.

  Further, the fourth term on the right side in the equation (16) is a term for converting the tooth into a groove, and can be omitted as appropriate in this term.

  The ease-off calculated in this way is presented to an operator or the like through the output unit 8 of the display device 13 or the like as an index for setting the tooth surface correction amount for the pinion tooth surface, for example, when designing the gear pair 100 ( (For example, see FIGS. 8 and 9 or FIGS. 15 and 16).

  8 and 9, for example, β = 0 ° is set as the contact point trajectory angle, and the calculation conditions are “Z type” for the contact point trajectory type and “ It shows the drive-off and coast-side ease-off when the “converted tooth width type” and the “converted tooth width type” are set in the contact width distance unit of the gap. 15 and 16, for example, β = 45 ° is set as the contact point trajectory angle, and the calculation conditions include “through type” for the contact point trajectory type and “conversion to the variable distance unit of transmission error”. This shows the drive-off and coast-side ease-off when “one-tooth type” and “converted tooth width type” are set as the contact width distance unit of the gap.

  In addition, as a result of tooth contact analysis about the relationship between the pinion non-conjugated tooth surface theoretically defined based on the ease-off shown in FIGS. The characteristics shown in FIGS. 10 and 11 can be obtained, the characteristics shown in FIG. 11 can be obtained as the backlash characteristics, and the characteristics shown in FIGS. 13 and 14 can be obtained as the characteristics of the tooth surface variation function. . Similarly, as a result of analyzing the relationship between the pinion non-conjugate tooth surface theoretically appropriate based on the ease-off shown in FIGS. 15 and 16 and the gear conjugate tooth surface, for example, FIG. 18, the characteristics shown in FIG. 19 can be obtained as the backlash characteristics, and the characteristics shown in FIGS. 20 and 21 can be obtained as the characteristics of the tooth surface variation function.

  According to such an embodiment, for example, when performing processing machine setting for creating a pinion non-conjugated tooth surface by correcting the tooth surface with respect to the pinion conjugate tooth surface of the gear pair 100 to be designed, the operator Of the contact point between the gear conjugate tooth surface and the pinion non-conjugated tooth surface, transmission error information on the contact point locus, and the clearance on the contact line between the gear conjugate tooth surface and the pinion non-conjugated tooth surface. Information is input, and transmission error information and gap information are synthesized three-dimensionally on the gear conjugate tooth surface to calculate an eth-off indicating relative tooth surface information between the gear conjugate tooth surface and the pinion non-conjugate tooth surface. Thus, tooth surface information serving as an index for obtaining desired characteristics by tooth surface correction can be presented to an operator or the like. Therefore, the operator or the like can grasp in advance information on the target tooth surface without being greatly influenced by experience and the like, and can improve the efficiency of the process for tooth surface correction and the like.

  In addition, this invention is not limited to each embodiment described above, A various deformation | transformation and change are possible, and they are also in the technical scope of this invention. For example, in the above-described embodiment, an example in which the present invention is applied to a hypoid gear has been described. However, the present invention is not limited to this, and can be applied to other types of gear pairs. Of course.

DESCRIPTION OF SYMBOLS 1 ... Design apparatus 5 ... Input part (input means)
6 ... Calculation part (calculation means)
DESCRIPTION OF SYMBOLS 7 ... Memory | storage part 8 ... Output part 10 ... Computer system 11 ... Computer main body 12 ... Keyboard 13 ... Display apparatus 14 ... Printer 15 ... Cable 100 ... Gear pair 101G ... Gear (1st gear)
101P ... Pinion (second gear)
102G ... Gear tooth surface 102Ga ... Convex tooth surface 102Gb ... Concave tooth surface 102P ... Pinion tooth surface 102Pa ... Convex tooth surface 102Pb ... Concave tooth surface

Claims (2)

The first conjugate tooth surface of the first gear and the second gear of the second gear, which are determined based on the basic shape of the first gear and the second gear meshing with each other and specifications indicating the assembled state. As the characteristic information of the gear pair in which the second conjugate tooth surface of the conjugate tooth surface is created on the non-conjugated tooth surface by the tooth surface modification, the contact point between the first conjugate tooth surface and the non-conjugated tooth surface is obtained. Input means for inputting information including a locus, transmission error information on the locus of the contact point, and gap information on a contact line between the first conjugate tooth surface and the non-conjugated tooth surface;
The gap between the relative tooth surfaces of the transmission error information and the gap information and the three-dimensionally combined and the first conjugate tooth surface on said first conjugate tooth surface wherein the non-conjugated tooth surface Computing means for computing ease-off indicating three-dimensional distribution information ,
The calculation means includes the contact on the first conjugate tooth surface in which the transmission error information and the gap information are normalized with respect to a distance to a toe having a heel as an origin and a distance to a face having a root as an origin. Converting each into a function that varies along the locus of the point and a function that varies along the simultaneous contact line direction, calculating the ease-off by adding the transmission error information and the gap information after the conversion,
The calculation means, as the meshing information of the second conjugate tooth surface with respect to the normalized first conjugate tooth surface, the contact line angle of the second conjugate tooth surface, and the second conjugate tooth surface Calculate the average tooth spacing,
Based on the mesh information, the transmission error information and the gap information is converted into a normalized function on the first conjugate tooth surface,
The calculation means includes a lattice point set in a matrix in a tooth trace direction starting from the heel on the first conjugate tooth surface and a tooth height direction starting from the root, and the lattice points are The second conjugate tooth at an arbitrary point on the first conjugate tooth surface normalized based on the relationship with each rotation angle of the first gear when contacting the second conjugate tooth surface. An apparatus for designing a gear pair, characterized in that a rotation angle of the first gear when a surface comes into contact is obtained, and the meshing information is calculated based on a distribution of arbitrary points at which the rotation angles are equal .   The input means receives backlash as characteristic information of the gear pair,
  The said calculating means calculates the said ease-off which added the said backlash as a tooth surface correction amount at the time of performing the said tooth surface correction with respect to a said 2nd conjugate tooth surface. Gear pair design device.

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