JP2013248711A - Setting device for hypoid gear machining machine - Google Patents

Abstract

PROBLEM TO BE SOLVED: To provide a setting device for a hypoid gear machining machine capable of easily setting adjustment dimensions for providing a desired position of a highest projecting point.SOLUTION: A calculation part 6 obtains information on a tooth face at positions of target highest projecting points on pinion tooth faces (conjugate tooth faces) 102cPa, 102cPb conjugate to gear tooth faces 102Ga, 102Gb, and adjusts the adjustment dimensions of a cutter head 230 so that the information at the positions of the highest projecting points on the pinion tooth faces 102 Pa, 102Pb can be converged under preset conditions to the information on the tooth face at the positions of the target highest projecting points on the conjugate tooth faces 102cPa, 102cPb. Consequently, adjustment dimensions for adjusting the highest projecting points to the positions of the target highest projecting points on the pinion tooth faces 102 Pa, 102Pb can be set easily.

Description

  The present invention relates to a hypoid gear processing machine setting device that sets control parameters for a processing machine that processes each gear of a hypoid gear.

  Conventionally, as a hypoid gear, a hypoid gear in which each gear surface (gear and pinion) has a tooth surface processed by face mill type tooth surface processing that rotates the cutter head while the workpiece is fixed, or the workpiece and the cutter head are simultaneously rotated. Hypoid gears in which tooth surfaces are processed on each gear by face hob type tooth surface processing are widely known.

  In recent years, with respect to hypoid gears that are processed with a face mill system, many studies have been conducted on a method for setting an appropriate control parameter for a processing machine, a method for analyzing a processed tooth surface, and the like.

  On the other hand, for hypoid gears that are machined using the face hob method, the most basic method for setting the relative position between each workpiece and the cutter head is fully established when setting various control parameters for the processing machine. The fact was not.

  In response to this, for example, in Patent Document 1, control parameters for forming a gear with a processing machine are set based on the design specifications of the gear, while the gear design specifications include a tooth contact adjustment dimension (gear The virtual gear is set by reflecting the adjustment amount with respect to the pitch cone angle, the adjustment amount with respect to the torsion angle of the gear, and the ratio of the tooth contact width to the gear tooth width, and the relative position between the virtual gear work and the cutter head, and A technique for setting control parameters when generating a pinion with a processing machine based on an assembly dimension of a virtual gear and a pinion is disclosed. Furthermore, in the technique disclosed in Patent Document 1, a crowning correction amount or the like in the tooth trace direction can be set as the tooth contact adjustment dimension, and each set value on the processing machine can be set based on the crowning correction amount or the like. (For example, coordinate axes such as swivel angle and tilt angle on the processing machine) are finely adjusted.

Japanese Patent No. 4896528

  However, in the technique disclosed in the above-mentioned Patent Document 1, each coordinate axis and the like on the processing machine to be adjusted is not directly related to the dimension of the hypoid gear. It is difficult to imagine a change in the contact state of each other.

  For this reason, with the technique disclosed in Patent Document 1 described above, it is difficult to intuitively set an appropriate tooth contact adjustment dimension. For example, when an operator tries to set the most convex point at a desired position. Moreover, the setting required skill.

  The present invention has been made in view of the above circumstances, and an object thereof is to provide a hypoid gear processing machine setting device capable of easily setting an adjustment dimension for obtaining a desired maximum convex point position.

  A hypoid gear processing machine setting device according to an aspect of the present invention forms a tooth surface of a first gear, which is one gear, into a first work by rotating a face hob type cutter head, and A hypoid gear processing machine setting device for setting an adjustment dimension with respect to the cutter head of a processing machine for generating a tooth surface of a second gear, which is a gear, on a second workpiece. A reference relative position of the cutter head with respect to the first workpiece is calculated based on input means for inputting as a target most convex point position, design specifications of the first gear, and set dimensions of the cutter head, A first tooth surface calculating means for calculating a tooth surface of the first gear molded by the cutter head based on a reference relative position; the first gear; and the second gear. The relative position of the cutter head with respect to the second workpiece is calculated based on an assembly dimension set in advance with the vehicle and the reference relative position, and the cutter head generates the workpiece based on the relative position. Based on the conjugate tooth surface calculating means for calculating the conjugate tooth surface, the specifications of the virtual gear obtained by adjusting the specifications of the first gear, the set dimensions of the cutter head, and the adjustment dimensions of the virtual gear, Virtual relative position calculating means for calculating the virtual relative position of the cutter head with respect to the virtual workpiece when it is assumed that the tooth surface is molded, and specifications of the virtual gear and design specifications of the second gear A virtual assembly dimension calculating means for calculating a virtual assembly dimension of the virtual gear and the second gear based on the front, and a front of the second workpiece based on the virtual assembly position and the virtual assembly dimension. By calculating a relative position of the cutter head and calculating a tooth surface of the second gear to be created by the cutter head based on the relative position, and by changing the adjustment dimension, Tooth surface adjustment for converging tooth surface information at the most convex point position on the tooth surface of the second gear on a condition set in advance with respect to tooth surface information at the most convex point position on the conjugate tooth surface Means.

  According to the hypoid gear processing machine setting device of the present invention, it is possible to easily set an adjustment dimension for obtaining a desired maximum convex point position.

Perspective view of hypoid gear A perspective view showing an example of a face hob type cutter head Schematic configuration diagram of hypoid gear processing machine setting device Schematic configuration diagram showing an example of a computer system for realizing a hypoid gear processing machine setting device Flow chart showing hypoid gear tooth contact adjustment routine (No. 1) Flow chart showing hypoid gear tooth contact adjustment routine (2) Flow chart showing an example of input screen Explanatory drawing showing the relative position of the cutter head to the gear work Explanatory drawing which shows the relative position of the cutter head with respect to the pinion work calculated based on the relative position and assembly dimension of the cutter head with respect to the gear work Explanatory drawing showing an example of the tilt adjustment axis of the cutter head Explanatory drawing showing groove angle

  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 perspective view showing an example of a face hob type cutter head, and FIG. 3 is a schematic configuration diagram of a hypoid gear processing machine setting device. 4 is a schematic configuration diagram showing an example of a computer system for realizing a hypoid gear processing machine setting device, FIGS. 5 and 6 are flowcharts showing a hypoid gear tooth contact adjustment routine, and FIG. 7 is a flowchart showing an example of an input screen. 8 is an explanatory view showing the relative position of the cutter head with respect to the gear work, FIG. 9 is an explanatory view showing the relative position of the cutter head with respect to the pinion work calculated based on the relative position and assembly dimensions of the cutter head with respect to the gear work, and FIG. FIG. 11 is an explanatory view showing an example of the inclination angle of the cutter head, and FIG. 11 is an explanatory view showing the groove angle.

  In FIG. 1, reference numeral 100 denotes a hypoid gear. The hypoid gear 100 is, for example, one gear (hereinafter also referred to as a gear or a crown) 101G having a large diameter and the other gear (hereinafter also referred to as a pinion) having a small diameter. 101P meshes with each other. In the present embodiment, the tooth surfaces of the gear 101G and the pinion 101P are processed using, for example, a face hob type cutter head 230 shown in FIG. 2, and specifically, the tooth surfaces 102G (convex) of the gear 101G. The tooth surface 102Ga on the side and the tooth surface 102Gb on the concave side are molded using the cutter head 230, and the tooth surface 102P (the tooth surface 102Pa on the convex side and the tooth surface 102Pb on the concave side) of the pinion 101P forms the cutter head 230. It is created by using. That is, in this embodiment, the gear 101G corresponds to the first gear, and the pinion 101P corresponds to the second gear.

  As shown in FIG. 2, in the present embodiment, the face hob type cutter head 230 has a disc-shaped cutter body 231. An attachment hole 232 for fixing the cutter head 230 to a processing machine (not shown) is provided at the center of the cutter body 231.

Further, one end surface of the cutter body 231 is configured as a surface (Cutter head Surface) 233 of cutter head 230, a point away set distance from the head surface 233 on the head axis Z _C direction, the reference point of the cutter head 230 (the origin O _C) is set as. Here, the axial distance from the head surface 233 of cutter head 230 to the origin O _C is one in which are unique to the cutter head 230, it is desirable to be set on the basis of the design specifications of the hypoid gear 100 In this embodiment, a value obtained by appropriately adding a clearance to the half value of the effective tooth height h of the hypoid gear 100 is set.

Further, a plurality of blades 240 including a concave tooth surface processing blade 240 o and a convex tooth surface processing blade 240 i are projected from the head surface 233. Here, each blade 240o, 240i is detachably inserted and fixed in a blade fixing hole (not shown) formed in the cutter body 231. At that time, each blade 240O, 240i, for example, an edge formed at the tip, the reference plane of the cutter head 230 (the origin _{O C} through the head surface 233 parallel to the plane; reference plane) to set the amount projected from the position Fixed to. As described above, in this embodiment the axial distance is set to half the effective tooth height h of the hypoid gear 100 from the head surface 233 of cutter head 230 to the origin O _C, the amount of protrusion is the hypoid gear 100 It is set to a value b (= (h / 2) + c: blade dedendum) obtained by adding the clearance c to the half value (h / 2) of the effective tooth height h.

  A processing machine setting device 1 for performing various settings for a processing machine (not shown) to which such a cutter head 230 is mounted includes a design specification of the hypoid gear 100 and a cutter head 230 as shown in FIG. The input unit 5 as an input means for inputting the set dimensions, tooth contact adjustment dimensions, and the like, various tooth surfaces 102G and 102P of the gear 101G and pinion 101P processed by the cutter head 230, and contact analysis of these tooth surfaces The calculation unit 6 that performs the calculation, various programs executed by the calculation unit 6, the storage unit 7 that appropriately stores input information from the input unit 5, and the calculation result of the calculation unit 6 are output. And an output unit 8.

  The storage unit 7 of the processing machine setting device 1 is used to perform various settings (processing machine settings) for processing tooth surfaces on the workpieces 110G and 110P of the gear 101G and the pinion 101P using the cutter head 230 described above. The calculation unit 6 calculates an adjustment dimension for adjusting the tooth contact so that the most convex point is located at a position desired by the operator by executing this program. That is, the calculation unit 6 executes this program to thereby execute first tooth surface calculation means, conjugate tooth surface calculation means, virtual relative position calculation means, virtual assembly dimension calculation means, second tooth surface calculation means, and Each function as tooth surface adjustment means is realized.

  In addition, the processing machine setting apparatus 1 of this embodiment is implement | achieved by the computer system 10 shown in FIG. 4, 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 the computer system 10, for example, various drive devices, a keyboard 12, and the like arranged 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. Function as. In addition, the display device 13, the printer 14, and the like function as the output unit 8 while functioning as a hard disk or the like built in the computer main body 11 or the storage unit 7.

  Next, hypoid gear tooth contact adjustment processing executed by the calculation unit will be described in accordance with the tooth contact adjustment routine program shown in FIGS. When this routine starts, the calculation unit 6 first takes in various specifications such as the set dimensions of the cutter head 230, the design specifications of the hypoid gear 100, and the tooth contact adjustment dimensions in step S101. Specifically, for example, the calculation unit 6 displays an input screen (see FIG. 7) of various specifications through the output unit 8 such as the display device 13, and the input unit 5 such as the keyboard 12 is displayed on the input screen. Read the specifications entered through.

Here, in the present embodiment, the processing machine setting device 1 has, for example, set dimensions of the cutter head 230 (and the blade 240) as, for example,
S _r : slot radius
S _o : slot offset
C _ht : cutter head thickness
λ _s : blade slot tilt angle
γ _s : blade side rake angle
b _fw : blade flat width
b _t : blade thickness
b _w: blade width
ν: Gear cutter lead angle r _C : Cutter radius N _B : Number of blade groups r _rpob , r _rpib : Reference radius and the like are input.

Further, in the processing machine setting device 1, as the design specifications of the hypoid gear 100 (gear 101G and pinion 101P),
ψ _G , ψ _P : Spiral angle
Γ _G , Γ _P : Cone angle
_RG , _RP : pitch point radius (P-point radius)
Etc. are input. These specifications are typical dimensions called three elements of so-called gear 101G and pinion 101P. The calculation unit 6 is based on these three elements as other design specifications of the gear 101G and the pinion 101P, for example,
Z _G , Z _P : Pitch point distance (P-point distance)
ε, η: Offset angle
Is uniquely calculated. Furthermore, the calculation part 6 is as an assembly specification based on the design specification of the gear 101G and the design specification of the pinion 101P, for example,
m: Gear ratio
Σ: Shaft angle
Ε: Offset amount
Is uniquely calculated.

Further, in the processing machine setting device 1, as dimensions (first adjustment dimensions) for setting (adjusting) the specifications of the virtual gear (virtual gear) 101iG based on the design specifications of the gear 101G, for example,
Δψ _G : Twist angle adjustment dimension ΔΓ _G : Cone angle adjustment dimension ΔR _G : Pitch point radius adjustment dimension b _n : Backlash is input.

  Here, the virtual gear 101iG is a virtual gear set to adjust the arrangement of the cutter head 230 with respect to the pinion work 110P at the time of tooth surface generation, and its specifications are based on the three elements of the gear 101G. , Is set by reflecting each of the adjustment dimensions described above. For the sake of explanation, the virtual gear 101iG and its constituent elements are given the suffix “i” in order to distinguish them from the gear 101G etc., but the illustration etc. are omitted as appropriate.

That is, the arrangement of the cutter head 230 when generating the pinion tooth surfaces 102Pa and 102Pb on the pinion work 110P is basically the arrangement of the cutter head 230 when forming the gear tooth surfaces 102Ga and 102Gb on the gear work 110G. And the assembly position of the gear 101G and the pinion 101P can be set. However, the pinion tooth surfaces 102Pa and 102Pb obtained by such an arrangement become conjugate tooth surfaces and “stickiness” with respect to the gear tooth surfaces 102Ga and 102Gb, so that it is not practical and requires some tooth surface adjustment. Therefore, in the present embodiment, as will be described later, the first adjustment dimensions (ΔΨ _G , ΔΓ _G , ΔR _G ) are reflected on the design specifications (ψ _G , Γ _G , R _G ) of the gear 101G. Based on the arrangement of the cutter head 230 with respect to the workpiece (virtual workpiece) 110iG and the assembly position of the virtual gear 101iG and the pinion 101P when the virtual gear 101iG is set and the tooth surface is assumed to be formed on the virtual gear 101iG. Thus, by setting the arrangement of the cutter head 230 with respect to the pinion work 110P, the tooth surface correction with respect to the pinion 101P is performed.

  Further, in order to perform further tooth surface correction on the pinion 101P through the virtual gear 101iG without changing the assembly state of the virtual gear 101iG and the pinion 101P, the processing machine setting device 1 includes, in addition to the first adjustment dimension, A second adjustment dimension as an adjustment dimension for the cutter head 230 is input. The second adjustment dimension is based on the relative position (virtual relative position) of the cutter head 230 set for the virtual workpiece 110iG and the blade 240 when it is assumed that the tooth surface is formed on the virtual workpiece 110iG of the virtual gear 101iG. It is mainly composed of various dimensions for directly adjusting the above.

In the present embodiment, as the second adjustment dimension, for example, a dimension (angle) for tilting the cutter head 230 around three axes with reference to the pitch point P (Ppoint) of the virtual gear 101iG is input. Specifically, for example, in the arrangement relationship between the virtual workpiece 110iG and the cutter head 230 at the time of tooth surface molding, the cutter head 230 is set around the α axis that passes through the pitch point P and is set in the generatrix direction of the pitch cone of the virtual gear. An angle θ _α for tilting is input as the second adjustment dimension. Further, a mu axis toward the origin O _C of the cutter head 230 from the pitch point P, and κ axis passing through the pitch point P on the tangent plane of the pitch cone perpendicular to the mu-axis and the virtual workpiece 110IG, mu axis and In an orthogonal coordinate system composed of ι axes orthogonal to the κ axis, angles θ _κ and θ _ι for tilting the cutter head 230 about the κ axis and about the ι axis are input as second adjustment dimensions. In FIG. 9, each axis (α axis, μ axis, κ axis, and ι axis) viewed from the virtual gear 101iG side is expressed on a pinion 101P that meshes with the virtual gear 101iG. Further, as the second adjustment dimension, for example, above the blade pressure angle phi _bob, with phi _bib is input, the dimensions for adjusting the cutter radius r _C (cutter radius correction amount) [Delta] r _C, the tooth surface generating process A correction amount (gear ratio correction amount) Δm or the like for adjusting the gear ratio m used as a time parameter is input.

  In addition, the most convex point position desired by the operator (the position of the point at which Ease-off between the gear tooth surface and the pinion tooth surface is desired to be zero) is input to the processing machine setting device 1 as the target maximum convex point position. Here, in addition to the design specifications of the hypoid gear 100, various specifications regarding the pitch cone, the root cone, the cross point, and the like are input to the processing machine setting device 1 as basic specifications indicating the blank shape and the like of the hypoid gear 100. As a result, the coordinates (addendum factor, depth factor) of the four corners of the tooth surface are set. Therefore, in this embodiment, for example, by inputting the ratio from the heel and the ratio from the root on the gear tooth surface (on the convex tooth surface and the concave tooth surface, respectively), It is possible to specify the position of the convex point.

Then, in the following processes, for example, among the input second adjustment dimensions, the calculation unit 6 includes, for example, the angles θ _α and θ _ι , the cutter radius correction amount Δr _C , and the blade pressure angle φ _bob By changing φ _bib , the most convex point position is automatically adjusted with respect to the target most convex point position.

Step S101 (or step S118 to be described later) proceeds to step S102 from calculating unit 6, the convergence calculation is set number to the angle theta _alpha in step S117 to be described later parameters (e.g., 20 times) or not been performed or Find out.

  In step S102, the calculation unit 6 proceeds to step S103 when determining that the convergence calculation in step S117 is less than the set number of times, and determines that the convergence calculation in step S117 is equal to or more than the set number of times. Exit the routine.

  When the process proceeds from step S102 to step S103, the calculation unit 6 calculates the relative position (reference relative position) of the cutter head 230 with respect to the gear work 110G based on the design specifications of the gear 101G and the set dimensions of the cutter head 230. Based on the reference relative position, the tooth surfaces 102Ga and 102Gb of the gear 101G formed by the cutter head 230 are calculated.

Here, in order to simplify the description, the origin O _C pitch point P of the gear 101G on the reference plane passing through the cutter head 230 is assumed to exist, to the setting dimensions of the design specifications and the cutter head 230 of the gear 101G Based on this, for example, the relationship shown in FIG. 8 can be derived as the reference relative position of the cutter head 230 with respect to the gear workpiece 110G when the gear tooth surface 102G is molded. That is, as the reference relative position of the cutter head 230 for Giyawaku 110G, reference plane of the cutter head 230 matches the tangent plane C of the pitch cone Giyawaku 110G, and the origin _{O C} of the cutter head 230, the pitch point P from line of intersection between the tangent plane C perpendicular plane B as gear shaft Z _G, position rotated moved [psi _G -v along tangent plane C around the pitch point P is derived.

Based on such a relationship, the coordinates on the blade represented by the coordinate system X _C -Y _C -Z _C of the cutter head 230 are expressed by the determinant shown in the following formula (1) of the gear work 110G (gear 101G). The coordinate system can be converted to X _G -Y _G -Z _G. That is, if the matrix is expressed as [M],
[M] _GC = [M] _{RZ ((N B / N G} ) ω C) [M] _{TZ (Z P)} [M] _{TX (R} G)
[M] _RY (Γ _G −90 °) [M] _RZ (ψ _G −ν) [M] _TZ (d)
[M] _TY (r _C ) [M] _RZ (ω _C −90 °) (1)
In equation (1), [M] _GC is a matrix indicating the coordinates on the blade converted from the coordinate system of the cutter head 230 to the coordinate system of the gear work 110G. For example, [M] _RZ ((N _B / _NG ) ω _C ) represents the rotation (Rotate about Z) of (N _B / _NG ) ω _C around the Z axis, and [M] _TX (R _G ) Represents _RG movement (Translate along X) in the X-axis direction. Further, ω _C represents the rotation angle of the cutter head 230.

Since the gear tooth surface 102G is a molded tooth surface, the rotation angle ω _C of the cutter head 230 is changed in the equation (1), and the locus of the point on the blade of the cutter head 230 is expressed in the coordinate system of the gear work 110G. By following, the three-dimensional coordinates of each point on the gear tooth surface 102G formed on the gear work 110G can be obtained. Furthermore, the calculating part 6 calculates | requires the normal line direction in each point on the gear tooth surface 102G based on the three-dimensional shape of the gear tooth surface 102G obtained from each three-dimensional coordinate.

  Incidentally, the shape of the gear tooth surface 102G obtained from the locus of the point on the blade in step S103 described above is specifically a tooth groove shape. Therefore, the calculation unit 6 is as follows. In step S104, one of the pair of tooth surfaces obtained in step S103 is coordinate-transformed by one pitch (2π / m) to obtain a tooth shape.

  When proceeding from step S104 to step S105, the calculation unit 6 obtains a pinion tooth surface 102cP (conjugate tooth surface (convex tooth surface 102cPa and concave tooth surface 102cPb)) conjugate with the gear tooth surface 102G. For the sake of explanation, the conjugate tooth surface 102cP and the like are given the suffix “c” to distinguish them from the pinion tooth surface 102P and the like, but the illustration and the like are omitted as appropriate.

The tooth surface calculation will be specifically described. First, the calculation unit 6 first determines the gear 101G (gear work 110G) based on the assembly dimensions (gear ratio m, shaft crossing angle Σ, offset amount Ε) of the gear 101G and the pinion 101P. For example, the following equation (2) is set as a sitting conversion equation for converting the coordinates defined in the coordinate system to the coordinates of the coordinate system of the pinion 101P (pinion work 110P).
[M] _PG = [M] _RZ (m · ω _G −η−180 °)
[M] _TY (−E) [M] _RY (−Σ) [M] _RZ (ε + ω _G ) (2)
Here, in equation (2), ω _G indicates the rotation angle of the gear 101G.

The relative position of the cutter head 230 with respect to the pinion work 110P is calculated based on the reference relative position of the cutter head 230 with respect to the gear work 110G and the assembly dimensions of the gear work 110G (gear 101G) and the pinion work 110P (pinion 101cP) ( (See FIG. 9). That is, the relative position of the cutter head 230 with respect to the pinion work 110P is such that the direction of the blade on the cutter head 230 disposed with respect to the gear work 110G is a tangential plane common to the pitch cone of the gear work 110G and the pitch cone of the pinion work 110P. Is defined as a position to be reversed as a symmetry plane. Such a relationship can be expressed by, for example, the above formulas (1) and (2). Specifically, the calculation unit 6 is represented by the coordinate system X _C -Y _C -Z _C of the cutter head 230. coordinates on the represented blades, as the determinant for transforming the coordinate system _{X P -Y} P -Z P pinions work 110P (gear 101G), calculating the following equation (3).
[M] _PC = [M] _PG [M] _GC (3)
Here, in Equation (3), [M] _PC is a matrix indicating coordinates on the blade converted from the coordinate system of the cutter head 230 to the coordinate system of the pinion work 110P.

Since the pinion tooth surface is a generating tooth surface, the rotation angle ω of the cutter head 230 and the rotation angle ω _G of the gear 101G are changed in the expression (3), and the blade of the cutter head 230 is changed in the coordinate system of the pinion work 110P. By following the locus of the point, the shape of the pinion tooth surface created on the pinion work 110 can be calculated.

  Then, by performing coordinate transformation using the equation (3), the calculation unit 6 can generate a pinion tooth surface conjugate with the tooth surface 102G of the gear 101G (conjugate tooth surface 102cP (convex tooth surface 102cPa, and The three-dimensional coordinates of each point on the concave tooth surface 102cPb) are obtained, and at the respective points on the conjugate tooth surfaces 102cPa and 102cPb based on the three-dimensional shape of the conjugate tooth surfaces 102cPa and 102cPb obtained from the three-dimensional coordinates. As in step S103 described above, the shape of the conjugate tooth surface 102cP obtained from the locus of points on the blade in step S105 is specifically a tooth groove shape.

When the process proceeds from step S105 to step S106, the calculation unit 6 sets the target convexities on the conjugate tooth surfaces 102cPa and 102cPb based on the three-dimensional coordinates of the points on the conjugate tooth surfaces 102cPa and 102cPb and their normal directions. As each tooth surface information at the point position, pressure angles φ _cob and φ _cib and torsion angles ψ _cob and ψ _cib are obtained. That is, the calculation unit 6 performs pressure angles φ _cob and φ _cib and twist angles ψ _cob and ψ _cib on the pinion pitch conical surfaces passing through the target maximum convex point positions on the conjugate tooth surfaces 102cPa and _102cPb. For each.

When the process proceeds from step S106 to step S107, the calculation unit 6 determines, for example, the angle between the target maximum convex point position on the conjugate tooth surface 102cPa and the target maximum convex point position on the conjugate tooth surface 102cPb as the groove angle θ _c ( determined as 11 reference), by adding the backlash b _n corresponding angle theta _bn to the groove angle theta _c, calculates the target pinion groove angle theta _pt.

When the process proceeds from step S107 (or steps S112, S114, S116 described later) to step S108, the calculation unit 6 performs a convergence calculation using the blade pressure angles φ _bob , φ _bib as parameters in step S111 described later, in step S113. convergence calculation for the rotation angle theta _iota as a parameter, or any set number of convergence calculations that parameter radius correction amount [Delta] r _c in step S115 (e.g., 20 times) checks whether done above.

  In step S108, the calculation unit 6 proceeds to step S109 if it determines that all the convergence calculations are less than the set number of times, and if it determines that any convergence calculation is greater than or equal to the set number of times, it performs a routine. Exit.

When the process proceeds from step S108 to step S109, the calculation unit 6 calculates the specifications of the virtual gear 101iG based on the design specifications of the gear 101G and the first adjustment dimension. That is, the calculation unit 6 reflects the first adjustment dimension on the three elements of the gear 101G, so that, for example, as the three elements of the virtual gear 101iG,
ψ _iG (= ψ _G + Δψ _G ): Spiral angle
Γ _iG (= Γ _G + ΔΓ _G ): Cone angle
R _iG (= R _G + ΔR _G : Pitch radius)
Based on these three factors, for example,
Z _iG : Pitch distance (P-point distance)
ε _i : Offset angle
Is uniquely calculated.

The calculation unit 6 also performs adjustment based on the first adjustment dimension for the design specifications of the pinion 101P meshing with the virtual gear 101iG. For example,
Z _iP : P-point distance
η _i : Offset angle
Is calculated. Further, based on the specifications of the virtual gear 101iG and the design specifications of the pinion 101P, the calculation unit 6 can be used as these virtual assembly specifications (virtual assembly dimensions), for example:
m _i : Gear ratio
Σ _i : Shaft angle
Ε: Offset amount
Is calculated.

  Further, the calculation unit 6 determines the virtual relative position (virtual relative position) of the cutter head 230 with respect to the virtual workpiece 110iG based on the specifications of the virtual gear 101iG, the second adjustment dimension, and the set dimension of the cutter head 230. ) Is calculated.

Specifically, the arithmetic unit 6 firstly has the same relationship as shown in FIG. 8 as the relative position of the cutter head 230 with respect to the virtual workpiece 110iG based on the specifications of the virtual gear 101iG and the set dimensions of the cutter head 230. Derive relationships. Further, the calculation unit 6 determines the inclination of the cutter head 230 based on the angles θ _α , θ _κ , and θ _ι set as the second adjustment dimensions with respect to the pitch point P on the virtual work 110 iG. Adjust around (α, κ, and ι axes). Further, by adjusting in pitch point P relative to the cutter radius r _C based on the dimension [Delta] r _C, the origin O _C of the cutter head 230 is moved in the μ axially relative to the pitch point P.

Based on the virtual relative position of the cutter head 230 with respect to the virtual workpiece 110iG obtained by adding the second adjustment dimension in this way, the calculation unit 6 calculates the coordinates on the blade expressed in the coordinate system of the cutter head 230. Is set as a coordinate conversion formula for converting into the coordinate system of the virtual work 110iG (virtual gear 101iG).
[M] _iGC = [M] _RZ ((N _B / N _iG ) ω _C ) [M] _TZ (Z _iP ) [M] _TX (R _iG )
[M] _RY (Γ _iG + θ _α −90 °) [M] _RZ (Ψ _iG −ν + θ _ι ) [M] _TZ (d _P )
[M] _TX (−θ _κ ) [M] _TY (r _C + Δr _C ) [M] _RZ (ω _C −90 °)
(4)
In Equation (4), [M] _iGC is a matrix indicating the coordinates on the blade converted from the coordinate system of the cutter head 230 to the coordinate system of the virtual gearwork.

Further, the calculation unit 6 determines the coordinates defined in the coordinate system of the virtual gear 101iG (virtual workpiece 110iG) based on the virtual assembly dimensions of the virtual gear 101iG and the pinion 101P as the coordinate system of the pinion 101P (pinion workpiece 110P). Set the coordinate conversion formula to convert to. In the present embodiment, this conversion equation is set in consideration of the gear ratio correction amount Δm and the change in the axial distance of the pitch point P of the pinion 101P, and specifically, for example, the following equation (5) Is set.
[M] _PIG = [M] _{TZ (Z} G _{-Z iG)} [M] _{RZ ((m i + Δm)} ω G -η i -180 °)
[M] _TY (−E _i ) [M] _RY (−Σ _i ) [M] _RZ (ε _i + ω _G ) (5)
Here, in the equation (5), ω _G represents the rotation angle of the gear 101G (virtual gear 101iG).

Then, similarly to the calculation of the conjugate tooth surface, the calculation unit 6 uses the coordinates on the blade represented by the coordinate system X _C -Y _C -Z _C of the cutter head 230 as the coordinate system X of the pinion work 110P (gear 101G). as a matrix equation for converting the _P -Y _P -Z _P, calculating the following equation (6).
[M] _PC = [M] _PiG [M] _iGC (6)
Then, by performing coordinate conversion using the equation (6), the calculation unit 6 can generate the tooth surface 102P (the convex tooth surface 102Pa and the concave tooth surface 102Pa of the pinion 101P meshing with the tooth surface 102G of the gear 101G). The three-dimensional coordinates of each point on the tooth surface 102Pb) are obtained, and the normal direction at each point on the pinion tooth surfaces 102Pa and 102Pb is determined based on the three-dimensional shape of the pinion tooth surfaces 102Pa and 102Pb obtained from the three-dimensional coordinates. Ask for. Similar to steps S103 and S105 described above, in this step S109, the shape of the pinion tooth surface 102P obtained from the locus of points on the blade is specifically a tooth groove shape.

When the process proceeds from step S109 to step S110, the calculation unit 6 sets the target on the pinion tooth surface 102Pa as tooth surface information based on the three-dimensional coordinates of each point on the pinion tooth surfaces 102Pa and 102Pb and the normal direction thereof. The groove angle θ _p between the most convex point position and the target maximum convex point position on the pinion tooth surface 102Pb is obtained, and the pressure angle φ _ob , φ _ib at each target maximum convex point position on the pinion tooth surface 102Pa, 102Pb. And torsion angles ψ _ob and ψ _ib are obtained.

When proceeding from step S110 to step S111, the calculation unit 6 converges the pressure angle φ _ob at the target maximum convex point on the pinion tooth surface 102Pa to the pressure angle φ _cob at the target maximum convex point on the conjugate tooth surface 102cPa. The blade pressure angle φ _bob is calculated using the Newton method. Similarly, the arithmetic unit 6, a pressure angle phi _ib at the target lowest projected points on the pinion tooth surface 102Pb, blade pressure angle for converging the pressure angle phi _cib at the target lowest projected points on the conjugate tooth surface 102cPb φ _cib Is calculated using the Newton method.

When the process proceeds from step S111 to step S112, the calculation unit 6 determines that the pressure angles φ _ob and φ _{ib at the} target maximum convex points on the pinion tooth surfaces 102Pa and 102Pb are the convex tooth surface 102cPa and the concave tooth surface 102cPb of the conjugate tooth surface. It is checked whether or not the pressure angles φ _cob and φ _cib at the target maximum convex points are converged within the set error range.

Then, in step S112, the pressure angle phi _ob, the pressure angle phi _cob that at least one of phi _{ib corresponds,} when it is determined that not converged within the set error range to phi _cib, calculating unit 6, In order to perform the calculation of the pinion tooth surfaces 102Pa and 102Pb again using the current blade pressure angles φ _bob and φ _bib , the process returns to step S108.

On the other hand, in step S112, the pressure angle phi _ob, the pressure angle phi _cob that phi _ib corresponds, when it is determined that they converge in a set error range to phi _cib, calculating unit 6 moves to step S113.

When the process proceeds from step S112 to step S113, the calculation unit 6 converges the sum of the twist angles (ψ _ob + ψ _ib ) of the pinion tooth surfaces 102Pa and 102Pb to the sum of the twist angles (ψ _cob + ψ _cib ) of the conjugate tooth surfaces 102cPa and 102cPb. The rotation angle θ _ι for the calculation is calculated using the Newton method.

Proceeding from step S113 to step S114, the arithmetic unit 6 checks whether the sum twist angle (ψ _ob + ψ _ib) is converged within set error range to the sum twist angle (ψ _cob + ψ _cib).

When it is determined in step S114 that the torsion angle sum (ψ _ob + ψ _ib ) does not converge to the torsion angle sum (ψ _cob + ψ _cib ) within the set error range, the calculation unit 6 determines that the current rotation angle θ _In order to perform the calculation of the pinion tooth surfaces 102Pa and 102Pb again using _ι , the process returns to step S108.

On the other hand, in step S114, if it is determined that the sum twist angle (ψ _ob + ψ _ib) is converged within set error range to the sum twist angle (ψ _cob + ψ _cib), calculating unit 6 moves to step S115.

Proceeding from step S114 to step S115, the arithmetic unit 6, a radius correction amount [Delta] r _c for converging the groove angle theta _p to the target pinion groove angle theta _pt, calculated using the Newton method.

Proceeding from step S115 in step S116, the arithmetic unit 6 checks whether groove angle theta _p has converged within set error range to the target pinion groove angle theta _pt.

Then, in step S116, if the groove angle theta _p is determined not converged within the target pinion groove angle theta _pt set error range, calculating unit 6, the cutter radius which reflects the current radius correction amount [Delta] r _c to perform re-pinion tooth surface 102 Pa, the operation of 102Pb using r _C, the flow returns to step S108.

On the other hand, if it is determined in step S116 that the groove angle θ _p has converged to the target pinion groove angle θ _pt within the set error range, the arithmetic unit 6 proceeds to step S117.

When the process proceeds from step S116 to step S117, the calculation unit 6 calculates the difference in torsion angle between the pinion tooth surfaces 102Pa and 102Pb (ψ _ob −ψ _ib ) and the difference in torsion angle between the conjugate tooth surfaces 102cPa and 102cPb (ψ _cob −ψ _cib ). The rotation angle θ _α for convergence to is calculated using the Newton method.

Proceeding from step S117 to step S118, the calculation unit 6 checks whether torsion angle difference (ψ _ob -ψ _ib) is converged within set error range the twist angle difference (ψ _cob -ψ _cib).

If it is determined in step S118 that the torsion angle difference (ψ _ob −ψ _ib ) has not converged to the torsion angle difference (ψ _cob −ψ _cib ) within the set error range, the calculation unit 6 performs the current rotation. again conjugate tooth surface using an angle _θ α 102cPa, 102cPb and pinion tooth surfaces 102 Pa, in order to perform the calculation of 102Pb, the flow returns to step S108.

On the other hand, when it is determined in step S118 that the twist angle difference (ψ _ob −ψ _ib ) has converged to the twist angle difference (ψ _cob −ψ _cib ) within the set error range, the calculation unit 6 exits the routine. .

As a result, tooth surface information (groove angle θ _p , pressure angles φ _obs , φ _ib , torsion angles ψ _ob , ψ _ib ) at the positions of the most convex points on the pinion tooth surfaces 102 Pa, 102 Pb is converted into conjugate tooth surfaces 102 cPa, 102 cPb. With respect to the cutter head 230 for converging the tooth surface information (groove angle θ _c , pressure angles φ _cob , φ _cib , torsion angles ψ _cob , ψ _cib ) at the positions of the most convex points on the above, under preset conditions. as the adjustment dimension, blade pressure angle phi _bob, phi _bib, rotation angle about iota axis theta _iota, rotation angle about alpha axis theta _alpha, and a radius correction amount [Delta] r _c is set by automatic calculation.

  According to such an embodiment, the tooth surface information at the target maximum convex point position on the pinion tooth surfaces (conjugate tooth surfaces) 102cPa and 102cPb conjugate to the gear tooth surfaces 102Ga and 102Gb is obtained, and on the pinion tooth surfaces 102Pa and 102Pb. The adjustment dimensions of the cutter head 230 are adjusted so that the tooth surface information at the target maximum convex point position of the target is converged under the condition set in advance with respect to the tooth surface information at the target maximum convex point position on the conjugate tooth surfaces 102cPa and 102cPb. By doing so, the adjustment dimension for adjusting the most convex point to the target most convex point position on the pinion tooth surfaces 102Pa and 102Pb can be easily set.

  That is, by obtaining the conjugate tooth surfaces 102cPa and 102cPb with the gear tooth surfaces 102Ga and 102Gb, the condition (tooth surface information) for making Ease-off zero at any point on the tooth surface can be easily obtained. Can do. Then, the tooth surface information at the target maximum convex point position on the pinion tooth surfaces 102Pa and 102Pb is converged on the condition set in advance with respect to the tooth surface information at the target maximum convex point position on the conjugate tooth surfaces 102cPa and 102cPb. By changing the adjustment dimension of the cutter head 230, the adjustment dimension for adjusting the most convex point to the target maximum convex point position on the pinion tooth surfaces 102Pa and 102Pb can be easily set.

DESCRIPTION OF SYMBOLS 1 ... Processing machine setting apparatus 5 ... Input part 6 ... Operation part 7 ... Memory | storage part 8 ... Output part 10 ... Computer system 11 ... Computer main body 12 ... Keyboard 13 ... Display apparatus 14 ... Printer 15 ... Cable 100 ... Hypoid gear 101G ... Gear ( First gear)
101P ... Pinion (second gear)
101cP ... Pinion 101iG conjugate to gear ... Virtual gear 102G ... Gear tooth surface 102Ga ... Convex gear tooth surface 102Gb ... Concave gear tooth surface 102P ... Pinion tooth surface 102Pa ... Convex pinion tooth surface 102Pb ... Concave side Pinion tooth surface 102cP ... conjugate tooth surface 102cPa ... convex conjugate tooth surface 102cPb ... concave conjugate tooth surface 110 ... pinion work 110G ... gear work 110iG ... virtual work 230 ... cutter head 231 ... cutter body 232 ... mounting hole 233 ... head Surface 240 ... Blade 240i ... Convex tooth surface processing blade 240o ... Concave tooth surface processing blade

Claims (1)

By rotating the face hob type cutter head, the tooth surface of the first gear, which is one gear, is formed into a first workpiece, and the tooth surface of the second gear, which is the other gear, is formed into the second gear. A hypoid gear processing machine setting device that sets an adjustment dimension for the cutter head of a processing machine that creates a workpiece.
Input means for inputting the most convex point position desired by the operator as the target maximum convex point position;
A reference relative position of the cutter head with respect to the first workpiece is calculated based on design specifications of the first gear and a set dimension of the cutter head, and molding is performed by the cutter head based on the reference relative position. First tooth surface calculating means for calculating a tooth surface of the first gear to be operated;
A relative position of the cutter head with respect to the second workpiece is calculated based on an assembly dimension preset between the first gear and the second gear and the reference relative position, and the relative position is calculated. A conjugate tooth surface calculating means for calculating a conjugate tooth surface created by the cutter head based on
The virtual when it is assumed that a tooth surface is formed on the virtual workpiece of the virtual gear based on the specifications of the virtual gear obtained by adjusting the specifications of the first gear, the set dimensions of the cutter head, and the adjusted dimensions. Virtual relative position calculating means for calculating the virtual relative position of the cutter head with respect to the workpiece;
Virtual assembly dimension calculating means for calculating virtual assembly dimensions of the virtual gear and the second gear based on the specifications of the virtual gear and the design specifications of the second gear;
The relative position of the cutter head with respect to the second workpiece is calculated based on the virtual assembly position and the virtual assembly dimension, and the teeth of the second gear that are created by the cutter head based on the relative position. Second tooth surface calculating means for calculating the surface;
Condition of preset tooth surface information at the most convex point position on the tooth surface of the second gear with respect to the tooth surface information at the most convex point position on the conjugate tooth surface by changing the adjustment dimension. A hypoid gear processing machine setting device, comprising: a tooth surface adjusting means for converging at a point.

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