JP7835066B2 - Gear machining method - Google Patents

Description

This invention relates to a gear machining method.

Patent Document 1 describes a method for machining gears on a workpiece using a gear skiving cutter. In this type of gear machining method, rough machining of the gear's protruding teeth is performed, followed by heat treatment and then finish machining of the gear's protruding teeth. Before the finish machining, the position (phase) of the protruding teeth formed during rough machining is detected to determine the initial positioning angle around the workpiece's rotation axis. Then, while the workpiece and the gear skiving cutter rotate synchronously, the gear skiving cutter is moved relative to the workpiece in the axial direction, thereby performing the finish machining of the protruding teeth on the workpiece.

Special table 2014-516807 publication

In gear machining using a gear skiving cutter, the cutting edge position on one tooth surface constituting a convex tooth differs from that on the other tooth surface. This results in different cutting resistances on each tooth surface. Consequently, the material removal (cutting depth) on each tooth surface differs during a single feed pass of the gear skiving cutter.

In gear skiving cutters, wear may progress prematurely in the areas where large material removal amounts are machined. This can lead to a reduced lifespan of the gear skiving cutter. Furthermore, to achieve good machining accuracy, an upper limit on the material removal per feed cycle of the gear skiving cutter is generally specified. Therefore, the larger the material removal amount on the tooth surface, the more feed cycles are required, resulting in longer machining times. Especially in finishing operations, where the material removal amount per feed cycle is small, even slight differences in the material removal amounts on the two tooth surfaces can significantly increase machining time.

This invention has been made in view of the above problems, and aims to provide a gear machining method that can extend the lifespan of the gear skiving cutter and shorten the machining time by reducing the difference in the material removal allowance between the two tooth surfaces.

One aspect of the present invention is a gear machining method for machining protruding teeth of a gear on a workpiece using a gear skiving cutter,
The difference between the first reference value, which is the correlation value of the magnitude of the back component of the cutting force at the first tooth surface constituting the convex tooth, and the second reference value, which is the correlation value of the magnitude of the back component of the cutting force at the second tooth surface located on the back surface of the first tooth surface constituting the convex tooth, is estimated.
The specifications of the gear skiving cutter are determined such that the difference between the first reference value and the second reference value falls within a predetermined range.
The workpiece is machined using the gear skiving cutter with the determined specifications .
The magnitude of the back component of the cutting force on the first tooth surface will differ depending on the position on the first tooth surface.
The magnitude of the back component of the cutting force on the second tooth surface will vary depending on the position on the second tooth surface.
The first reference value is one of the average value, sum, or maximum value of the magnitude of the back force component of the cutting force at each position on the first tooth surface.
The gear machining method is characterized in that the second reference value is one of the average value, sum, or maximum value of the magnitude of the back force component of the cutting force at each position on the second tooth surface .
Another aspect of the present invention is a gear machining method for machining protruding teeth of a gear on a workpiece using a gear skiving cutter,
The difference between the first reference value, which is the correlation value of the magnitude of the back component of the cutting force at the first tooth surface constituting the convex tooth, and the second reference value, which is the correlation value of the magnitude of the back component of the cutting force at the second tooth surface located on the back surface of the first tooth surface constituting the convex tooth, is estimated.
Using relational information that defines a correction value for the cutting angle of the gear skiving cutter with the axial intersection angle between the gear skiving cutter and the workpiece as a parameter, the correction value for the cutting angle is determined as the specification of the gear skiving cutter such that the difference between the first reference value and the second reference value is within a predetermined range.
The workpiece is machined using the gear skiving cutter to which the determined cutting angle correction value has been applied.
The first reference value is a first angular reference value obtained based on the rake angle of the gear skiving cutter on the first tooth surface.
The gear machining method is characterized in that the second reference value is a second angular reference value obtained based on the rake angle of the gear skiving cutter on the second tooth surface.

In one embodiment of a gear machining method, the difference between the first reference value and the second reference value is estimated. The first and second reference values are correlation values of the magnitude of the back force component of the cutting force at the tooth surface. The back force component of the cutting force at the tooth surface corresponds to the component of the cutting resistance in the direction normal to the tooth surface. In other words, the back force component of the cutting force corresponds to the component of the cutting resistance in the direction of cutting depth.

The first reference value is the correlation value of the magnitude of the back force component of the cutting force at the first tooth surface, and the second reference value is the correlation value of the magnitude of the back force component of the cutting force at the second tooth surface. In gear machining using a gear skiving cutter, the magnitude of the back force component of the cutting force at the first tooth surface and the magnitude of the back force component at the second tooth surface are different values. Therefore, the first and second reference values will be different.

Therefore, the specifications of the gear skiving cutter are determined such that the difference between the first and second reference values is within a predetermined range, and the workpiece is machined using the gear skiving cutter with these determined specifications. In other words, by adjusting the specifications of the gear skiving cutter, the difference between the first and second reference values is made to fall within a predetermined range. By keeping the difference between the first and second reference values within a predetermined range, the difference between the material removal allowance on the first tooth surface and the material removal allowance on the second tooth surface can be reduced. As a result, the lifespan of the gear skiving cutter and the machining time can be shortened.

As described above, according to the above embodiment, by reducing the difference in material removal between the two tooth surfaces, it is possible to provide a gear machining method that can extend the lifespan of the gear skiving cutter and shorten the machining time.

This is a perspective view showing a gear machining device. (a) is a diagram showing a gear skiving cutter, and (b) is a magnified view of the rake face of one of the cutting edges. This is a flowchart showing the basics of gear manufacturing methods. (a) shows the rough-machined shape of the convex teeth of the workpiece W, (b) shows the area of the rough-machined shape of the convex teeth that is finished by a gear skiving cutter, and (c) shows the finished shape of the convex teeth. This figure shows the state when the angle of the protruding teeth of a workpiece is detected by a sensor. This diagram illustrates the process of finishing a workpiece using a gear skiving cutter. (a) shows the rough-machined shape of the convex teeth of the workpiece W, (b) shows the area of the rough-machined shape of the convex teeth that is finished by a gear skiving cutter, and (c) shows the finished shape of the convex teeth. This diagram illustrates the area processed by a single cutting edge within a single tooth groove. This figure shows the definition point of a single cutting edge in the generation machining analysis. (a) shows the analysis result showing the rake angle due to the leading edge, (b) shows the analysis result showing the rake angle due to the cutting edge, and (c) shows the analysis result showing the rake angle due to the trailing edge. This is a flowchart showing an improved gear manufacturing method. This flowchart shows a specific example of an improved gear manufacturing method. This is a diagram illustrating the first and second angle reference values of the first example. This diagram illustrates the first and second angular reference values in the second example. This diagram illustrates the first and second angle reference values for the third example. This figure shows the relationship between the axis intersection angle and the difference in the angle reference value, which is relevant information used in specific examples of improved gear machining methods.

(Embodiment)
1. Configuration of Gear Machining Apparatus 1 An example of the configuration of gear machining apparatus 1 used for gear machining will be explained with reference to Figure 1. Gear machining apparatus 1 is a device that creates tooth profiles (gear teeth) on a workpiece W by moving the workpiece W and the gear skiving cutter T in a relative position while rotating them synchronously.

The gear machining device 1 utilizes a general-purpose machine tool, such as a machining center. The machining center is configured to allow for tool changes, enabling machining depending on the installed tool. For example, interchangeable gear cutting tools include a gear skiving cutter T, as well as hob cutters and shaper cutters. By changing to a hob cutter or shaper cutter, the gear machining device 1 becomes a device that machines tooth profiles (gear teeth) onto the workpiece W through hobbing or shaping.

In addition to gear cutting tools, other interchangeable tools include, for example, end mills, milling tools, drills, turning tools, threading tools, and grinding tools. Note that the tool changing device and the tool magazine containing multiple tools are not shown in Figure 1.

Furthermore, in this embodiment, the machining center used as the gear processing apparatus 1 shown in Figure 1 is basically a horizontal machining center. However, the gear processing apparatus 1 can also be configured with other configurations, such as a vertical machining center.

As shown in Figure 1, the gear machining apparatus 1 has, for example, three mutually orthogonal linear drive axes (X-axis, Y-axis, and Z-axis). The gear machining apparatus 1 is configured to allow relative movement of the workpiece W and the gear skiving cutter T in the X-axis, Y-axis, and Z-axis directions. Here, the direction parallel to the rotation axis Zt of the gear skiving cutter T (equal to the rotation axis of the tool spindle) is defined as the Z-axis direction, and the two axes orthogonal to the Z-axis direction are defined as the X-axis and Y-axis. In Figure 1, the horizontal direction is defined as the X-axis direction, and the vertical direction is defined as the Y-axis direction.

Furthermore, the gear machining apparatus 1 has one rotary drive axis (B axis) for changing the relative orientation between the workpiece W and the gear skiving cutter T. In this embodiment, the B axis is a rotary drive axis around an axis Yw parallel to the Y axis. The gear machining apparatus 1 also has a rotary drive axis (Ct axis) for rotating the gear skiving cutter T, and a rotary drive axis (Cw axis) for rotating the workpiece W. In this embodiment, the Ct axis is a rotary drive axis around the rotation axis Zt of the gear skiving cutter T, which is parallel to the Z axis. The Cw axis is a horizontal axis that can take an angle with respect to the Z axis according to the B axis angle, and rotates around the rotation axis Zw of the workpiece W. However, the rotation axis Zt of the gear skiving cutter T may be configured to take an angle with respect to both the Z axis and the X axis.

In the gear machining apparatus 1, the configuration for relative movement between the workpiece W and the gear skiving cutter T can be appropriately selected. For example, the gear machining apparatus 1 may have an A-axis around a rotation axis parallel to the X-axis direction instead of a B-axis. In the following examples, we will consider a case where the gear skiving cutter T is capable of linear movement in the Y-axis and Z-axis directions, the workpiece W is capable of linear movement in the X-axis direction, and the workpiece W is capable of rotation around the B-axis.

The gear machining apparatus 1 comprises a bed 10, a workpiece holder 20, a tool holder 30, a sensor 40, and a control device 50. The bed 10 is installed on a mounting surface and is formed in a shape corresponding to the shape of the workpiece holder 20 and the tool holder 30. In this embodiment, the bed 10 is, for example, rectangular. A pair of X-axis guide rails 11 extending in the X-axis direction and a pair of Z-axis guide rails 12 extending in the Z-axis direction are formed on the upper surface of the bed 10.

The workpiece holding device 20 mainly comprises an X-axis moving table 21, a B-axis rotating table 22, and a workpiece spindle device 23. The X-axis moving table 21 is driven by a drive device such as a linear motor or ball screw mechanism (not shown) and moves in the X-axis direction while being guided by the X-axis guide rail 11 of the bed 10.

The B-axis rotary table 22 is mounted on the upper surface of the X-axis moving table 21 and moves integrally with the X-axis moving table 21 in the X-axis direction. The B-axis rotary table 22 is also provided so as to be rotatable on the B-axis relative to the X-axis moving table 21. The B-axis rotary table 22 is equipped with a rotary motor and a rotation angle detector (not shown), and the B-axis rotary table 22 becomes rotatable on the B-axis by driving the rotary motor.

The workpiece spindle device 23 is mounted on the B-axis rotary table 22 and rotates integrally with the B-axis rotary table 22 along the B-axis. The workpiece spindle device 23 rotatably holds the workpiece W. The workpiece spindle device 23 is equipped with a rotary motor and a rotation angle detector (not shown), and the workpiece spindle device 23 enables rotation of the workpiece W along the Cw axis by the drive of the rotary motor. In this way, the workpiece holding device 20 enables the workpiece W to move in the X-axis direction relative to the bed 10, rotate along the B-axis, and rotate along the Cw axis.

In detail, the workpiece spindle unit 23 comprises a housing 23a and a spindle 23b. The housing 23a of the workpiece spindle unit 23 is fixed to the B-axis rotary table 22, and the spindle 23b of the workpiece spindle unit 23 is rotatably supported by the housing 23a. The workpiece W is attached to the tip of this spindle 23b. In other words, the workpiece W is cantilevered to the spindle 23b of the workpiece spindle unit 23.

The tool holding device 30 mainly comprises a column 31, a saddle 32, and a tool spindle device 33. The column 31 is driven by a drive device such as a linear motor or ball screw mechanism (not shown) and moves in the Z-axis direction while being guided by the Z-axis guide rail 12 of the bed 10. A Y-axis guide rail 31a is formed on the vertically extending side surface of the column 31 (the left surface in Figure 1). The saddle 32 is driven by a drive device such as a linear motor or ball screw mechanism (not shown) and moves in the Y-axis direction while being guided by the Y-axis guide rail 31a of the column 31.

The tool spindle device 33 is mounted on the saddle 32 and moves integrally with the saddle 32 in the Y-axis direction. The tool spindle device 33 holds the gear skiving cutter T. The tool spindle device 33 is equipped with a rotary motor and a rotation angle detector (not shown), and the tool spindle device 33 enables rotation of the gear skiving cutter T along the Ct axis by the drive of the rotary motor. In this way, the tool holding device 30 holds the gear skiving cutter T so that it can move in the Y-axis and Z-axis directions relative to the bed 10, and can rotate along the Ct axis.

In detail, the tool spindle unit 33 comprises a housing 33a and a spindle 33b. The housing 33a of the tool spindle unit 33 is fixed to the saddle 32, and the spindle 33b of the tool spindle unit 33 is rotatably supported by the housing 33a. A gear skiving cutter T is attached to the tip of this spindle 33b. In other words, the gear skiving cutter T is cantilevered to the spindle 33b of the tool spindle unit 33.

The sensor 40 is, for example, mounted on the saddle 32. The sensor 40 is capable of detecting the distance to the teeth on the workpiece W when the workpiece spindle device 23 is holding the workpiece W and the workpiece W is rotating. It is preferable to use a non-contact distance sensor, such as one using eddy currents or a laser, for the sensor 40. However, a contact-type sensor can also be used. Since the sensor 40 is mounted on the saddle 32, it moves integrally with the tool spindle device 33. Furthermore, the detection unit of the sensor 40 may be provided to be movable forward and backward.

The control device 50 is equipped with a processor (arithmetic processing unit) and a memory device, and controls each drive device by executing a machining program. In other words, the control device 50 controls the rotation of the gear skiving cutter T along its Ct axis, the rotation of the workpiece W along its Cw axis, and the relative movement between the workpiece W and the gear skiving cutter T.

In detail, the control device 50 positions the rotation axis Zt of the gear skiving cutter T so that it has an axial intersection angle α with respect to the rotation axis Zw of the workpiece W. In this embodiment, the control device 50 rotates the B-axis rotary table 22 to position the workpiece W and the gear skiving cutter T so that they have an axial intersection angle α. Then, while synchronously rotating the workpiece W and the gear skiving cutter T, the control device 50 moves the gear skiving cutter T relative to the workpiece W in a direction parallel to the rotation axis Zw of the workpiece W, thereby creating convex teeth on the outer or inner circumferential surface of the workpiece W.

2. Gear skiving cutter T
The gear skiving cutter T will be described with reference to Figure 2. As shown in Figure 2(a), the gear skiving cutter T has a plurality of cutting edges 60 on its outer circumference in the circumferential direction. Each cutting edge 60 is formed as a convex groove. Each cutting edge 60 has a rake face 61 which is the leading edge (left end face in Figure 2(a)) in the direction of extension of the cutting edge 60, a front relief face 62 which is the radially outer surface of the cutting edge 60, and side relief faces 63, 64 which are the sides of the cutting edge 60 in the direction of extension.

In this embodiment, the multiple cutting edges 60 have a helix angle β with respect to the rotation axis Zt of the gear skiving cutter T. However, the cutting edges 60 may be formed such that the helix angle β is zero.

The rake face 61 of the cutting edge 60 is inclined radially by an angle γ with respect to a plane perpendicular to the rotation axis Zt in a cross-section along the rotation axis Zt. Furthermore, the rake face 61 of the cutting edge 60 has a cutting angle ε. The cutting angle ε is the angle with respect to the plane perpendicular to the rotation axis Zt when viewed from the radially outer side of the cutting edge 60. Here, the cutting angle ε of the cutting edge 60 is the angle obtained by subtracting the correction value ε2 of the cutting angle from the reference cutting angle ε1. The reference cutting angle ε1 is equal to the helix angle β of the cutting edge 60. The correction value ε2 of the cutting angle can be set arbitrarily.

Furthermore, the front relief surface 62 of the cutting edge 60 has a front relief angle η1. That is, the front relief surface 62 is inclined with respect to the rotation axis Zt. In other words, the circumscribing surface of the front relief surface 62 of the cutting edge 60 is formed in a conical shape. However, the front relief surface 62 of the cutting edge 60 may be formed so that the front relief angle η1 is zero. In this case, the circumscribing surface of the front relief surface 62 of the cutting edge 60 will be formed in a cylindrical shape. Also, the side relief surfaces 63 and 64 of the cutting edge 60 have a side relief angle η2. That is, the side relief surfaces 63 and 64 are inclined with respect to the extending direction of the cutting edge 60. One side relief surface 63 is located on the leading side in the rotation direction of the gear skiving cutter T, and the other side relief surface 64 is located on the trailing side.

As shown in Figure 2(b), the ridges of the rake face 61 of each cutting edge 60 are defined as follows: The leading edge portion of the rake face 61 in the rotational direction of the gear skiving cutter T is defined as the leading edge portion 61a. The leading edge portion 61a is the ridge formed by the rake face 61 and one side relief face 63. The trailing edge portion of the rake face 61 in the rotational direction of the gear skiving cutter T is defined as the trailing edge portion 61b. The trailing edge portion 61b is the ridge formed by the rake face 61 and the other side relief face 64. The cutting edge portion of the rake face 61 is defined as the cutting edge portion 61c. The cutting edge portion 61c is the ridge formed by the rake face 61 and the front relief face 62.

3. Basic Operation of Gear Machining Method The basic operation of the gear machining method will be explained with reference to Figures 3 to 6. The basic operation of the gear machining method is to first perform rough machining on the workpiece W (S1), as shown in Figure 3. Rough machining is a process to form the rough machined shape 70 of the convex teeth of the gear on the workpiece W, as shown in Figure 4(a). In this embodiment, the rough machining is an example in which the rough machined shape 71, 72 of the tooth surface (side surface of the convex tooth) of the convex tooth of the gear is formed on the workpiece W, and the tooth tip chamfered portion 73, 74 which is adjacent to the rough machined shape 71, 72 of the tooth surface is formed. In other words, the rough machined shape of the workpiece W is a shape having the rough machined shapes 70 of multiple convex teeth, and the rough machined shape 70 of each convex tooth has the rough machined shape 71, 72 of the tooth surface and the tooth tip chamfered portion 73, 74. The rough tooth surface symmetry line 75 is the center line of the opposing rough machined shapes 71, 72 of the tooth surfaces.

Furthermore, various gear machining processes such as gear skiving, hobbing, and shaping can be applied to the rough machining. In the gear machining apparatus 1 shown in Figure 1, rough machining is performed by attaching either a gear skiving cutter T, a hobbing cutter (not shown), or a shaper cutter (not shown). Note that in rough machining, the machining of the rough shapes 71 and 72 of the tooth surfaces and the machining of the tooth tip chamfers 73 and 74 may be performed in simultaneous machining processes or in separate machining processes.

In the following, the tooth surface on the trailing side in the rotational direction of the workpiece W will be referred to as the "first tooth surface," and the tooth surface on the leading side, i.e., the tooth surface located on the back surface of the first tooth surface, will be referred to as the "second tooth surface." Furthermore, the tooth tip chamfer adjacent to the first tooth surface will be referred to as the "first tooth tip chamfer," and the tooth tip chamfer adjacent to the second tooth surface will be referred to as the "second tooth tip chamfer."

After rough machining (S1), external processing such as heat treatment or coating is performed (S2). In this embodiment, the external processing is performed not by the gear machining apparatus 1 shown in Figure 1, but by a separate external device. Therefore, after rough machining is performed by the gear machining apparatus 1, the workpiece W is removed from the gear machining apparatus 1 and the external processing is performed by the separate device.

After the external processing (S2), preparatory processing for finishing is performed (S3). As preparation for finishing, the control device 50 first performs a detection process for the Cw axis angle of the roughly machined shape 70 of the convex teeth of the workpiece W attached to the gear machining device 1 (S3a).

The detection process of the Cw axis angle of the convex tooth by the control device 50 (S3a) will be explained with reference to Figure 5. After the workpiece W is attached to the spindle 23b of the workpiece spindle device 23 of the gear machining apparatus 1, the rotation axis Zw of the workpiece W is positioned parallel to the Z-axis direction. In this state, the workpiece W is rotated along the Cw axis. The sensor 40 is extended so that its tip is positioned near the tip of the tool spindle device 33. The detection area of the sensor 40 is positioned opposite the convex tooth forming surface of the workpiece W, i.e., the outer circumferential surface in the case of external teeth, and the inner circumferential surface in the case of internal teeth.

Then, while detecting the Cw axis angle of the workpiece W using the rotation angle detector of the workpiece spindle device 23, the distance from the sensor 40 to the surface of the convex tooth of the workpiece W facing the sensor 40 is detected. In this way, the Cw axis angle at which the rough machined shape 70 of the convex tooth of the workpiece W is located is detected while the workpiece W is mounted on the workpiece spindle device 23.

Next, the workpiece W is positioned to begin the finishing process (S3b). Specifically, based on the Cw-axis angle of the rough-machined shape 70 of the convex teeth of the workpiece W detected, the workpiece W is rotated along the Cw axis to position its initial Cw-axis angle. The initial Cw-axis angle of the workpiece W is determined based on the Ct-axis angle of the gear skiving cutter T. Alternatively, the Ct-axis angle of the gear skiving cutter T may be positioned instead of the Cw-axis angle of the workpiece W. Furthermore, the workpiece W is rotated along the B axis to achieve the set axis intersection angle α.

Next, the workpiece W is finished using the gear skiving cutter T (S4). As shown in Figure 6, the finishing is performed by synchronously rotating the workpiece W and the gear skiving cutter T while relatively moving the gear skiving cutter T in a direction parallel to the rotation axis Zw of the workpiece W. In this way, the gear skiving cutter T finishes the rough-machined shape 70 of the convex teeth of the workpiece W.

In the finishing process, as shown by the dashed lines in Figure 4(b), finishing is performed along the outlines 81, 82, and 83 of the region through which the edges 61a, 61b, and 61c constituting the rake face 61 of each cutting edge 60 (shown in Figures 2(a) and 2(b)) of the gear skiving cutter T pass. In other words, the portion of the rough-machined shape 70 of the convex teeth of the workpiece W that overlaps with the region enclosed by these outlines 81, 82, and 83 is the part that undergoes finishing. The finished shape 70a of the convex teeth is the shape shown in Figure 4(c). For clarity, the outlines 81, 82, and 83 in Figure 4(b) represent the points through which the edges 61a, 61b, and 61c constituting the rake face 61 pass, assuming the rotation of the workpiece W is stopped.

In Figure 4(b), the rough shape 71 of the first tooth surface on the side that is trailing in the rotational direction of the workpiece W, within the single concave tooth groove formed by the rough shapes 70 of two adjacent convex teeth, is finished along the outline 81 of the region through which the leading cutting edge 61a (shown in Figure 2(b)) of the gear skiving cutter T passes. Therefore, the finished shape 71a of the first tooth surface, after being machined by the leading cutting edge 61a, becomes the shape shown in Figure 4(c). At this time, the leading cutting edge 61a processes not only the rough shape 71 of the first tooth surface but also a portion of the first tooth tip chamfer 73. Therefore, the remaining first tooth tip chamfer 73a after finishing takes on the shape shown in Figure 4(c).

Furthermore, in Figure 4(b), the rough machining shape 72 of the second tooth surface on the leading side in the rotational direction of the workpiece W, of the two adjacent convex teeth forming a single concave tooth groove 70, is finished along the outline 82 of the region through which the trailing cutting edge 61b (shown in Figure 2(b)) of the gear skiving cutter T passes. Therefore, the finished shape 72a of the second tooth surface is machined by the trailing cutting edge 61b to the shape shown in Figure 4(c). At this time, the trailing cutting edge 61b machines not only the rough machining shape 72 of the second tooth surface but also a portion of the second tooth tip chamfer 74. Therefore, the remaining second tooth tip chamfer 74a after finishing takes the shape shown in Figure 4(c).

Furthermore, in Figure 4(b), the root portion of a single concave tooth groove formed by the rough-machined shapes 70 of two adjacent convex teeth, located between the rough-machined shape 71 of the first tooth surface and the rough-machined shape 72 of the second tooth surface, is finished along the outline 83 of the region through which the cutting edge portion 61c (shown in Figure 2(b)) of the gear skiving cutter T passes. However, depending on the rough-machined shape 70 of the convex teeth of the workpiece W, the cutting edge portion 61c may not finish the root surfaces of the rough-machined shapes 70 of adjacent convex teeth.

In Figure 4(b), the blade surface symmetry line 84 is the midpoint between the outline 81 of the region through which the leading blade portion 61a passes and the outline 82 of the region through which the trailing blade portion 61b passes. Furthermore, in Figure 4(c), the finished tooth surface symmetry line 75a is the midpoint between the finished machining shapes 71a of the opposing first tooth surface and 72a of the second tooth surface. Ideally, the rough tooth surface symmetry line 75 shown in Figure 4(a) and the finished tooth surface symmetry line 75a shown in Figure 4(c) coincide.

The gear machining method described above forms the finished shape 70a of the gear's convex teeth on the workpiece W. The finished shape 70a of the convex teeth includes a finished shape 71a of the first tooth surface, a finished shape 72a of the second tooth surface, a first tooth tip chamfer 73a that constitutes part of the first tooth tip chamfer 73, and a second tooth tip chamfer 74a that constitutes part of the second tooth tip chamfer 74. In this embodiment, the tooth root surface located between the finished shapes 70a of adjacent convex teeth is the same as the tooth root surface located between the rough shapes 70 of adjacent convex teeth.

4. Synchronous angle error Δθ
In the finishing process, it was found that an error Δθ (hereinafter referred to as "synchronous angle error") occurs between the synchronous command angle issued by the control device 50 and the actual synchronous angle regarding the synchronous angle between the workpiece W and the gear skiving cutter T. The synchronous angle error Δθ will be explained below with reference to Figures 3 to 4 and Figure 7.

As described above, the ideal finished shape 70a of a convex tooth in the workpiece W is the shape shown in Figure 4(c). That is, the finishing allowance (cutting depth) for the rough shape 71 of the first tooth surface matches the finishing allowance (cutting depth) for the rough shape 72 of the second tooth surface. As a result, both tooth tip chamfers 73a and 74a are symmetrical with respect to the finished tooth surface symmetry line 75a. In other words, the same amount of material is left on both tooth tip chamfers 73a and 74a.

To obtain the ideal convex tooth finish shape 70a, it is necessary to align the rough tooth surface symmetry line 75 shown in Figure 4(a) with the finished tooth surface symmetry line 75a shown in Figure 4(c). Here, the finished tooth surface symmetry line 75a shown in Figure 4(c) coincides with the cutting edge symmetry line 84 shown in Figure 4(b) during finishing. Therefore, to obtain the ideal convex tooth finish shape 70a, it is necessary to perform the finishing process so that the rough tooth surface symmetry line 75 shown in Figure 4(a) and the cutting edge symmetry line 84 shown in Figure 4(b) coincide. In other words, when considering the synchronization angle of the gear skiving cutter T with respect to the workpiece W, it is necessary to rotate synchronously so that the actual angle of the cutting edge symmetry line 84 shown in Figure 4(b) coincides with the rough tooth surface symmetry line 75 shown in Figure 4(a).

Therefore, in the finishing preparation (S3) shown in Figure 3, the Cw axis angle of the rough-machined shape 70 of the convex tooth is detected. Then, the Cw axis angle of the workpiece W is positioned based on the Ct axis angle of the cutting edge 60 of the gear skiving cutter T, so that the rough tooth surface symmetry line 75 and the cutting edge surface symmetry line 84 of the rough-machined shape 70 of the convex tooth coincide.

However, if finishing is performed while synchronously rotating with this state as the initial state, the actual angle 84r of the cutting edge symmetry line 84 will deviate from the rough tooth surface symmetry line 75, as explained below. Specifically, when performing finishing on the rough-machined shape 70 of the convex teeth shown in Figure 7(a), the control device 50 performs synchronous control to match the command angle 84c of the cutting edge symmetry line 84c with the rough tooth surface symmetry line 75, as shown in Figure 7(b). However, as shown in Figure 7(b), the actual angle 84r of the cutting edge symmetry line 84r relative to the rough tooth surface symmetry line 75 will be located at a position advanced forward in the rotational direction of the workpiece W (to the right in Figure 7(b)). This deviation angle is defined as the synchronous angle error Δθ. The command angle 84c of the cutting edge symmetry line 84c corresponds to the synchronous command angle between the workpiece W and the gear skiving cutter T, and the actual angle 84r of the cutting edge symmetry line 84r corresponds to the synchronous actual angle between the workpiece W and the gear skiving cutter T.

Thus, even if the control device 50 shown in Figure 7(b) commands the angle 84c of the blade surface symmetry line to match the rough tooth surface symmetry line 75 during finishing, the synchronization angle error Δθ causes the actual angle 84r of the blade surface symmetry line to shift forward in the rotational direction from the rough tooth surface symmetry line 75. In other words, due to the synchronization angle error Δθ, the leading blade portion 61a cuts more material into the rough shape 71 of the first tooth surface than the ideal material removal amount. Conversely, the trailing blade portion 61b cuts less material into the rough shape 72 of the second tooth surface than the ideal material removal amount.

As a result, the finished shape 70a of the convex tooth becomes the shape shown in Figure 7(c). Specifically, the finished tooth surface symmetry line 75a is shifted by a synchronization angle error Δθ relative to the rough tooth surface symmetry line 75, forming the finished shape 71a of the first tooth surface and the finished shape 72a of the second tooth surface. Because the finished shape 71a of the first tooth surface and the finished shape 72a of the second tooth surface are shifted by a synchronization angle error Δθ, the shapes of the first tooth tip chamfer 73a and the second tooth tip chamfer 74a become different from those in Figure 4(c).

Specifically, of the concave tooth groove formed by the rough-machined shapes 70 of two adjacent convex teeth, the first tooth tip chamfer 73a adjacent to the finished shape 71a of the first tooth surface that is trailing in the rotational direction has a larger material removal allowance and is therefore smaller than the ideal shape shown in Figure 4(c). Conversely, the second tooth tip chamfer 74a adjacent to the finished shape 72a of the second tooth surface that is leading in the rotational direction has a smaller material removal allowance and is therefore larger than the ideal shape shown in Figure 4(c). In other words, the first tooth tip chamfer 73a and the second tooth tip chamfer 74a have asymmetrical shapes.

5. Reasons for the Occurrence of Synchronization Angle Error Δθ The reasons for the occurrence of the synchronization angle error Δθ will be analyzed in detail with reference to Figures 8 to 10. Figure 8 shows a view of one tooth groove in the workpiece W from the radially outer side, showing the portion between the finished shapes 70a of adjacent convex teeth. In the direction in which the tooth groove extends, the first tooth surface finished shape 71a and the first tooth tip chamfer 73a are present on one of the circumferentially opposing surfaces, and the second tooth surface finished shape 72a and the second tooth tip chamfer 74a are present on the other surface.

In Figure 8, the white arrow indicates the direction of travel of one cutting edge 60 of the gear skiving cutter T. The hatched areas P1 and P2 in Figure 8 represent the areas machined when one cutting edge 60 of the gear skiving cutter T passes through one tooth groove of the workpiece W. The hatched area P1 on the right side of Figure 8 is the area finished by the leading edge 61a, forming the finished shape 71a of the first tooth surface. On the other hand, the hatched area P2 on the left side of Figure 8 is the area finished by the trailing edge 61b, forming the finished shape 72a of the second tooth surface.

In the operation of one cutting edge 60 machining one tooth groove, machining first begins with only the leading edge portion 61a (the lower part of region P1 in Figure 8). Then, while machining is being performed by the leading edge portion 61a, machining by the trailing edge portion 61b begins. In other words, machining by the leading edge portion 61a and machining by the trailing edge portion 61b are performed simultaneously (the upper part of region P1 and the lower part of region P2 in Figure 8). After that, machining by the leading edge portion 61a is completed, and machining by only the trailing edge portion 61b continues (the upper part of region P2 in Figure 8). Finally, machining by the trailing edge portion 61b is completed.

To perform a detailed analysis, as shown in Figure 9, the edges 61a, 61b, and 61c of the rake face 61 of the cutting edge 60 were defined using point clouds, and a generation machining analysis was performed. In Figure 9, the leading edge portion 61a is defined by a point cloud represented by a triangular shape, the trailing edge portion 61b is defined by a point cloud represented by a point cloud represented by a square shape, and the cutting edge portion 61c is defined by a point cloud represented by a point cloud represented by a circular shape. Each defined point is distinguished by the numerical value in brackets [].

Generative machining analysis was performed to output the rake angles for each point [1] to [33] that defines the edges 61a, 61b, and 61c of the rake face 61. The results are shown in Figure 10. Figure 10(a) shows the rake angles for each of the points [1] to [14] that define the leading edge portion 61a. Figure 10(b) shows the rake angles for each of the points [15] to [19] that define the cutting edge portion 61c. Figure 10(c) shows the rake angles for each of the points [20] to [33] that define the trailing edge portion 61b.

As shown in Figures 10(a) to (c), the rake angle exhibits different values depending on the definition points [1] to [33], and also differs depending on the Ct axis angle (tool rotation angle) of the gear skiving cutter T at each of the definition points [1] to [33]. For example, at definition point [1], the rake angle at the start of machining starts as positive, passes through zero, and then changes so that the absolute value of the negative value increases. A similar trend is observed for the other definition points. However, the initial value of the rake angle may be negative instead of positive depending on conditions such as the axis crossing angle α.

A detailed analysis reveals that the rake angle at the definition points [20] to [33] of the trailing cutting edge 61b has a larger negative maximum absolute value compared to the rake angle at the definition points [1] to [14] of the leading cutting edge 61a.

Comparing the cases where the rake angle is positive and negative, a positive rake angle results in a smaller back force component of the cutting force applied to the tooth surface. The back force component of the cutting force is the component of the cutting force that is normal to the tooth surface. Note that the cutting force is expressed by the principal force component, the back force component, and the feed force component.

In other words, when the leading cutting edge 61a performs finishing on the rough-machined shape 71 of the first tooth surface, the magnitude of the back force component of the cutting force is relatively smaller compared to when the trailing cutting edge 61b performs finishing on the rough-machined shape 72 of the second tooth surface.

6. Description of the Improved Gear Machining Method In order to reduce the error in the finished shape 70a of the convex teeth caused by the synchronization angle error Δθ shown in Figure 7, the improved gear machining method described below will be applied. First, the improved gear machining method will be explained with reference to Figure 11.

The improved gear machining method, as shown in Figure 11, estimates a first reference value (S11), which is the correlation value between the magnitude of the back force component of the cutting force during finish machining and the rough machining shape 71 of the first tooth surface constituting the convex tooth. In other words, it estimates the correlation value between the magnitude of the back force component of the cutting force when machining the rough machining shape 71 of the first tooth surface with the leading blade portion 61a. The first reference value only needs to be a value that correlates with the magnitude of the back force component of the cutting force; it may be the magnitude of the back force component itself, or it may be a value different from the magnitude of the back force component of the cutting force.

However, the magnitude of the back force component of the cutting force varies depending on the position of the leading blade portion 61a, and furthermore, depending on the Ct axis angle of the gear skiving cutter T. In other words, the magnitude of the back force component of the cutting force will be a different value depending on the position of the rough machining shape 71 on the first tooth surface. Therefore, the magnitude of the back force component of the cutting force referred to here should be a value obtained by comprehensively evaluating the values at each position of the leading blade portion 61a and each Ct axis angle when machining the rough machining shape 71 on the first tooth surface with the leading blade portion 61a. That is, the magnitude of the back force component of the cutting force should be a value obtained by comprehensively evaluating the values at each position of the rough machining shape 71 on the first tooth surface. For example, the first reference value can be selected from the average value, sum, or maximum value of the magnitude of the back force component of the cutting force at each position of the rough machining shape 71 on the first tooth surface.

Next, a second reference value is estimated (S12), which is the correlation value of the magnitude of the back force component of the cutting force during finishing with respect to the rough-machined shape 72 of the second tooth surface located on the back surface of the first tooth surface constituting the convex tooth. In other words, the correlation value of the magnitude of the back force component of the cutting force when machining the rough-machined shape 72 of the second tooth surface with the trailing blade portion 61b is estimated. The second reference value only needs to be a value that correlates with the magnitude of the back force component of the cutting force; it can be the magnitude of the back force component itself, or a value different from the magnitude of the back force component of the cutting force. The second reference value is obtained in essentially the same way as the first reference value. For example, the second reference value can be selected from the average value, sum, or maximum value of the magnitude of the back force component of the cutting force at each position of the rough-machined shape 72 of the second tooth surface.

Next, the difference between the estimated first and second reference values is calculated (S13). The first and second reference values are each estimated as a single numerical value through the above process. Therefore, the difference between the first and second reference values can be easily obtained. Here, the obtained difference is assumed to have a positive or negative sign.

Next, the specifications of the gear skiving cutter T are determined such that the difference between the first reference value and the second reference value falls within a predetermined range (S14). The specifications of the gear skiving cutter T to be determined include the shape of the gear skiving cutter T and the surface coating of the gear skiving cutter T. In the former case, the specifications include, for example, the correction value ε2 for the cutting angle of the rake face 61 of the gear skiving cutter T, and the edge rounding of the leading edge portion 61a and the trailing edge portion 61b of the rake face 61. In the latter case, the specifications include, for example, different types of surface coatings for the leading edge portion 61a and the trailing edge portion 61b. Ideally, the predetermined range should include zero and be as close to zero as possible.

The subsequent processes are the same as the basic operations of the gear machining method shown in Figure 3. Rough machining is performed on the workpiece W (S15). After rough machining (S15), external treatments such as heat treatment and coating are performed (S16). After external treatment (S16), preparatory processing for finish machining is performed (S17). As preparation for finish machining, first, the control device 50 detects the Cw axis angle of the rough-machined shape 70 of the convex teeth of the workpiece W attached to the gear machining device 1 (S17a). Next, the workpiece W is positioned to begin finish machining (S17b).

Next, the workpiece W is finished using the gear skiving cutter T with the specifications determined in S14 (S18). For example, the workpiece W is finished using a gear skiving cutter T to which a correction value ε2 (shown in Figure 2(a)) for the cutting edge angle is applied so that the difference between the first and second reference values is within a predetermined range. Alternatively, the workpiece W is finished using a gear skiving cutter T to which the leading edge portion 61a and the trailing edge portion 61b have different edge roundings so that the difference between the first and second reference values is within a predetermined range. Furthermore, as yet another example, the workpiece W is finished using a gear skiving cutter T to which the leading edge portion 61a and the trailing edge portion 61b have different surface coatings so that the difference between the first and second reference values is within a predetermined range.

The effects of the improved gear machining method described above will now be explained. According to the improved gear machining method, the first and second reference values are estimated. The first and second reference values are the correlation values of the magnitudes of the back force component of the cutting force at the first and second tooth surfaces. The back force component of the cutting force at the tooth surface corresponds to the component of the cutting resistance in the direction normal to the tooth surface. In other words, the back force component of the cutting force corresponds to the component of the cutting resistance in the direction of cutting depth.

The first reference value is the correlation value of the magnitude of the back force component of the cutting force at the first tooth surface, and the second reference value is the correlation value of the magnitude of the back force component of the cutting force at the second tooth surface. In gear machining using a gear skiving cutter T, the magnitude of the back force component of the cutting force at the first tooth surface and the magnitude of the back force component at the second tooth surface are different values. Therefore, the first and second reference values will be different.

Then, the specifications of the gear skiving cutter T are determined such that the difference between the first reference value and the second reference value is within a predetermined range, and the workpiece W is machined using the gear skiving cutter with the determined specifications. In other words, by adjusting the specifications of the gear skiving cutter T, the difference between the first reference value and the second reference value is made to be within a predetermined range. By making the difference between the first reference value and the second reference value within a predetermined range, the synchronization angle error Δθ can be reduced. In other words, the difference between the material removal amount on the first tooth surface and the material removal amount on the second tooth surface can be reduced. As a result, the lifespan of the gear skiving cutter T can be extended and the machining time can be shortened. Furthermore, the first tooth tip chamfer portion 73a and the second tooth tip chamfer portion 74a after finishing can be made symmetrical. Furthermore, when finishing the convex teeth of a gear with a shape in which the first tooth tip chamfer 73c and the second tooth tip chamfer 74c are of different sizes, applying a machining method similar to the improved gear machining method allows for high-precision finishing of the convex teeth of a gear with a shape in which the first tooth tip chamfer 73c and the second tooth tip chamfer 74c are of different sizes.

7. Specific Examples of Improved Gear Machining Methods A more specific gear machining method, based on the improved gear machining method shown in Figure 11, will be explained with reference to Figures 12 to 15.

A more specific gear machining method is to estimate a first angular reference value V _R , which is obtained based on the rake angle of the gear skiving cutter T during the finishing process on the rough shape 71 of the first tooth surface, as shown in Figure 12 (S21). The rake angle of the gear skiving cutter T during the finishing process on the rough shape 71 of the first tooth surface corresponds to the rake angle when the leading cutting edge portion 61a finishes the rough shape 71 of the first tooth surface.

More specifically, the rake angle is a value obtained from the analysis of the generation process when the correction value ε2 (shown in Figure 2(a)) for the cutting edge angle of the gear skiving cutter T is set to zero. Therefore, the cutting edge angle ε in this analysis is equal to the helix angle β of the cutting edge 60 of the gear skiving cutter T.

Furthermore, as shown in Figure 10(a), the rake angle in the finishing process for the rough-machined shape 71 of the first tooth surface varies depending on the position of the leading cutting edge 61a, and also depending on the Ct axis angle of the gear skiving cutter T. In other words, the rake angle will have a different value depending on the position of the rough-machined shape 71 of the first tooth surface.

Therefore, three specific examples of the first angle reference value V _R are given below. In the first example, the first angle reference value V _R is the average value of the rake angle at each position and each Ct axis angle of the leading cutting edge portion 61a, obtained by analyzing the generation process with the correction value ε2 for the cutting edge angle set to zero, as shown in Figure 13(a). In other words, the first angle reference value V _R corresponds to the average value of the rake angle of the leading cutting edge portion 61a at each position of the rough machining shape 71 of the first tooth surface.

In the second example, the first angle reference value V _R is the sum of the rake angles at each position and each Ct axis angle of the leading cutting edge portion 61a, obtained by analyzing the generation process with the correction value ε2 for the cutting edge angle set to zero, as shown in Figure 14(a). This sum corresponds to the difference between the area of the positive region and the area of the negative region in the enclosed region shown in Figure 14(a). In other words, the first angle reference value V _R corresponds to the sum of the rake angles of the leading cutting edge portion 61a at each position of the rough-machined shape 71 of the first tooth surface.

In the third example, the first angle reference value V _R is the maximum absolute value of the negative rake angle among the rake angles at each position of the leading cutting edge 61a and at each Ct axis angle, obtained by analyzing the generation process with the correction value ε2 for the cutting edge angle set to zero, as shown in Figure 15(a). In other words, the first angle reference value V _R corresponds to the maximum absolute value of the negative rake angle of the leading cutting edge 61a at each position of the rough-machined shape 71 of the first tooth surface.

Next, the second angular reference value V _T , obtained based on the rake angle of the gear skiving cutter T during the finishing process on the rough-machined shape 72 of the second tooth surface, is estimated as the second reference value (S22). The second angular reference value V _T is estimated using the same method as the first angular reference value _VR .

In other words, the second angle reference value V _T in the first example is the average value of the rake angle at each position and each Ct axis angle of the trailing cutting edge portion 61b, obtained by analyzing the generation process with the correction value ε2 for the cutting edge angle set to zero, as shown in Figure 13(b). That is, the second angle reference value V _T corresponds to the average value of the rake angle of the trailing cutting edge portion 61b at each position of the rough machining shape 72 of the second tooth surface.

In the second example, the second angle reference value V _T is the sum of the rake angles at each position and each Ct axis angle of the trailing cutting edge portion 61b, obtained by analyzing the generation process with the cutting edge angle correction value ε2 set to zero, as shown in Figure 14(b). This sum corresponds to the difference between the area of the positive region and the area of the negative region in the enclosed region shown in Figure 14(b). In other words, the second angle reference value V _T corresponds to the sum of the rake angles of the trailing cutting edge portion 61b at each position of the rough machining shape 72 of the second tooth surface.

In the third example, the second angle reference value V _T is the maximum absolute value of the negative rake angle among the rake angles at each position and each Ct axis angle of the trailing cutting edge portion 61b, obtained by analyzing the generation process with the cutting edge angle correction value ε2 set to zero, as shown in Figure 15(b). In other words, the second angle reference value V _T corresponds to the maximum absolute value of the negative rake angle of the trailing cutting edge portion 61b at each position of the rough machining shape 72 of the second tooth surface.

Next, the difference ΔV (= _VT - _VR ) between the estimated first angle reference value _VR and the second angle reference value _VT is calculated (S23). The difference ΔV between the first angle reference value _VR and the second angle reference value _VT is assumed to have a positive or negative sign.

Next, based on the difference ΔV between the first angle reference value V _R and the second angle reference value V _T , a correction value ε2 for the cutting angle as a specification of the gear skiving cutter T is determined so that the difference ΔV between the first angle reference value V _R and the second angle reference value V T is within a predetermined range (S24). For example, when the estimation method for the first angle reference value V R and the second angle reference value V _T of the first or third example is applied, the difference ΔV itself may be used as the correction value ε2 for the cutting angle. However, the correction value ε2 for the cutting angle may be obtained by multiplying the difference ΔV by a coefficient or by adding an offset coefficient. When the estimation method for the first angle reference value V _R and the second angle reference value V _T of the second example is applied, it is preferable to determine the correction value ε2 for the cutting angle using a relational expression that uses the difference ΔV.

The subsequent processes are the same as the gear machining method outlined in Figure 3. Rough machining is performed on the workpiece W (S25). After rough machining (S25), external treatments such as heat treatment and coating are performed (S26). After external treatment (S26), preparatory processing for finish machining is performed (S27). As preparation for finish machining, first, the control device 50 detects the Cw axis angle of the rough-machined shape 70 of the convex teeth of the workpiece W attached to the gear machining apparatus 1 (S27a). Next, the workpiece W is positioned to begin finish machining (S27b). Subsequently, finish machining is performed on the workpiece W using the gear skiving cutter T to which the correction value ε2 of the cutting angle, determined in S24, has been applied (S28).

According to a specific example of the improved gear machining method, the correction value ε2 for the cutting angle of the gear skiving cutter T is determined using the rake angle. This method reduces the synchronization angle error Δθ, and as a result, the difference between the material removal on the first tooth surface and the material removal on the second tooth surface can be reduced. Therefore, the lifespan of the gear skiving cutter T can be extended and the machining time shortened. Furthermore, the first tooth tip chamfer 73a and the second tooth tip chamfer 74a can be made symmetrical after finishing. Moreover, when finishing the convex teeth of a gear with different sized first and second tooth tip chamfers 73c and 74c, applying a machining method similar to the improved gear machining method allows for high-precision finishing of the convex teeth of a gear with different sized first and second tooth tip chamfers 73c and 74c.

Furthermore, the first angle reference value V _R and the second angle reference value V _T can be easily estimated in any of the specific examples of estimation methods. In addition, the difference ΔV between the first angle reference value V _R and the second angle reference value V _T is used to determine the correction value ε2 for the cutting angle. In other words, since both the difference ΔV and the correction value ε2 for the cutting angle are angles, they have a high correlation. Therefore, an appropriate correction value ε2 for the cutting angle can be obtained.

8. Other Specific Examples of the Improved Gear Machining Method Other specific examples of the improved gear machining method will be described with reference to Figure 16. In the specific examples of the gear machining method shown with reference to Figures 12 to 15, the first angle reference value _VR and the second angle reference value _VT were estimated, and their difference ΔV was estimated.

In the other specific example, the difference ΔV between the first angle reference value _VR and the second angle reference value _VT is directly estimated without estimating the first angle reference value _VR and the second angle reference value _VT respectively. This can be achieved by deleting S21 and S22 in the gear machining method shown in Figure 12.

Specifically, as shown in Figure 16, relational information is used that defines a correction value ε2 for the cutting angle of the gear skiving cutter T, using the axis intersection angle α between the gear skiving cutter T and the workpiece W as a parameter. This relational information may be defined as a relational equation or as relational map data. Furthermore, as shown in Figure 16, this relational information may also be defined according to the depth of cut in addition to the axis intersection angle α. While Figure 16 shows two types of depth of cut sizes, three or more types of depth of cut sizes may also be defined.

When expressing the relevant information as a relational expression, for example, equation (1) can be used. C is a constant and is a value corresponding to, for example, the amount of cut.
ΔV=C*1/sinα... (1)

In this way, by directly estimating the difference ΔV between the first angle reference value V _R and the second angle reference value V _T , the correction value ε2 of the cutting angle as a parameter can be easily obtained. Furthermore, if the correction value ε2 of the cutting angle matches the difference ΔV, then estimating the difference ΔV is essentially equivalent to estimating the correction value ε2 of the cutting angle.

70 Convex tooth 71, 71a First tooth surface 72, 72a Second tooth surface T Gear skiving cutter W Workpiece V _R First angle reference value (first reference value)
V _T Second angle reference value (second reference value)
ΔV is the difference between the first and second angle reference values.

Claims (4)

A gear machining method for machining protruding teeth of a gear onto a workpiece using a gear skiving cutter,
The difference between the first reference value, which is the correlation value of the magnitude of the back component of the cutting force at the first tooth surface constituting the convex tooth, and the second reference value, which is the correlation value of the magnitude of the back component of the cutting force at the second tooth surface located on the back surface of the first tooth surface constituting the convex tooth, is estimated.
The specifications of the gear skiving cutter are determined such that the difference between the first reference value and the second reference value falls within a predetermined range.
The workpiece is machined using the gear skiving cutter with the determined specifications .
The magnitude of the back component of the cutting force on the first tooth surface will differ depending on the position on the first tooth surface.
The magnitude of the back component of the cutting force on the second tooth surface will vary depending on the position on the second tooth surface.
The first reference value is one of the average value, sum, or maximum value of the magnitude of the back force component of the cutting force at each position on the first tooth surface.
A gear machining method in which the second reference value is one of the average value, sum, or maximum value of the magnitude of the back force component of the cutting force at each position on the second tooth surface . A gear machining method for machining protruding teeth of a gear onto a workpiece using a gear skiving cutter,
The difference between the first reference value, which is the correlation value of the magnitude of the back component of the cutting force at the first tooth surface constituting the convex tooth, and the second reference value, which is the correlation value of the magnitude of the back component of the cutting force at the second tooth surface located on the back surface of the first tooth surface constituting the convex tooth, is estimated.
Using relational information that defines a correction value for the cutting angle of the gear skiving cutter with the axial intersection angle between the gear skiving cutter and the workpiece as a parameter, the correction value for the cutting angle is determined as the specification of the gear skiving cutter such that the difference between the first reference value and the second reference value is within a predetermined range.
The workpiece is machined using the gear skiving cutter to which the determined cutting angle correction value has been applied.
The first reference value is a first angular reference value obtained based on the rake angle of the gear skiving cutter on the first tooth surface.
A gear machining method in which the second reference value is a second angular reference value obtained based on the rake angle of the gear skiving cutter on the second tooth surface. The rake angle of the gear skiving cutter on the first tooth surface will have different values depending on the position on the first tooth surface.
The rake angle of the gear skiving cutter on the second tooth surface will have different values depending on the position of the second tooth surface.
The first angle reference value is one of the following: the average value, the sum of the rake angles of the gear skiving cutter at each position on the first tooth surface, or the maximum absolute value of the negative rake angle.
The gear machining method according to claim 2, wherein the second angular reference value is one of the average value, sum, or maximum absolute value of the rake angle of the gear skiving cutter at each position on the second tooth surface. The above specifications include a correction value for the cutting angle of the gear skiving cutter such that the difference between the first reference value and the second reference value falls within a predetermined range.
A gear machining method according to any one of claims 1 to 3 , wherein the workpiece is machined using the gear skiving cutter to which the determined cutting angle correction value has been applied.