Power skiving method having multiple cut strategy
09925606 ยท 2018-03-27
Assignee
Inventors
Cpc classification
B23F5/163
PERFORMING OPERATIONS; TRANSPORTING
International classification
G05B19/18
PHYSICS
Abstract
Method for power skiving a workpiece (50) having a workpiece axis of rotation (R2) and having a rotationally-symmetrical, periodic structure using a power skiving tool (100).
Claims
1. A method comprising: power skiving a workpiece having a workpiece axis of rotation and a rotationally-symmetrical, periodic structure using a power skiving tool comprising multiple cutting teeth or cutting inserts, wherein the method comprises a multiple cut completing method including at least a first power skiving machining of the workpiece and a second power skiving machining of the workpiece, the method further comprising: setting a first effective intersection angle of axes (.sub.eff.sup.1) of the power skiving tool in relation to the workpiece, executing the first power skiving machining of the workpiece using the first effective intersection angle of axes (.sub.eff.sup.1), wherein during the first power skiving machining, the power skiving tool penetrates up to a first infeed depth into the workpiece and all flanks of a periodic structure of the workpiece are premachined simultaneously, setting a second effective intersection angle of axes (.sub.eff.sup.2) of the power skiving tool in relation to the workpiece without reversing a direction of rotation of one or more of the workpiece or the power skiving tool, and executing the second power skiving machining of the workpiece using the second effective intersection angle of axes (.sub.eff.sup.2), wherein during the second power skiving machining, the power skiving tool penetrates up to a second or final infeed depth into the workpiece that is different from the first infeed depth and said flanks of the periodic structure of the workpiece are further machined simultaneously, wherein the first effective intersection angle of axes (.sub.eff.sup.1) differs from the second effective intersection angle of axes (.sub.eff.sup.1).
2. The method according to claim 1, further comprising ascertaining the first effective intersection angle of axes (.sub.eff.sup.1) and the second effective intersection angle of axes (.sub.eff.sup.2) so that the first power skiving machining and the second power skiving machining each define generating lines having substantially the same shape.
3. The method according to claim 1, further comprising ascertaining the first effective intersection angle of axes (.sub.eff.sup.1) and the second effective intersection angle of axes (.sub.eff.sup.2) so that the first power skiving machining and the second power skiving machining each define substantially identical cutting conditions.
4. The method according to claim 1, further comprising providing a different axial distance between the power skiving tool and (i) the workpiece or (ii) a machining depth in relation to a tooth height during the first power skiving machining and the second power skiving machining.
5. The method according to claim 2, further comprising providing a different axial distance between the power skiving tool and (i) the workpiece or (ii) a machining depth in relation to a tooth height during the first power skiving machining and the second power skiving machining.
6. The method according to claim 3, further comprising providing a different axial distance between the power skiving tool and (i) the workpiece or (ii) a machining depth in relation to a tooth height during the first power skiving machining and the second power skiving machining.
7. The method according to claim 4, further comprising: computing the first effective intersection angle of axes (.sub.eff.sup.1) and the second effective intersection angle of axes (.sub.eff.sup.2) based on (i) setting a first pitch circle diameter for the first power skiving machining and a second pitch circle diameter for the second power skiving machining equal to each other, and (ii) the axial distance of the first power skiving machining and the axial distance of the second power skiving machining.
8. The method according to claim 5, further comprising: computing the first effective intersection angle of axes (.sub.eff.sup.1) and the second effective intersection angle of axes (.sub.eff.sup.2) based on (i) setting a first pitch circle diameter for the first power skiving machining and a second pitch circle diameter for the second power skiving machining equal to each other, and (ii) the axial distance of the first power skiving machining and the axial distance of the second power skiving machining.
9. The method according to claim 6, further comprising: computing the first effective intersection angle of axes (.sub.eff.sup.1) and the second effective intersection angle of axes (.sub.eff.sup.2) based on (i) setting a first pitch circle diameter for the first power skiving machining and a second pitch circle diameter for the second power skiving machining equal to each other, and (ii) the axial distance of the first power skiving machining and the axial distance of the second power skiving machining.
10. The method according to claim 4, further comprising: setting by computer a pitch circle location on the power skiving tool of the first power skiving machining and a pitch circle location on the power skiving tool of the second power skiving machining to be equal.
11. The method according to claim 5, further comprising: setting by a computer a pitch circle location on the power skiving tool of the first power skiving machining and a pitch circle location on the power skiving tool of the second power skiving machining to be equal.
12. The method according to claim 6, further comprising: setting by a computer a pitch circle location on the power skiving tool of the first power skiving machining and a pitch circle location on the power skiving tool of the second power skiving machining to be equal.
13. The method according to claim 4, further comprising ascertaining by computer the first effective intersection angle of axes (.sub.eff.sup.1) and the second effective intersection angle of axes (.sub.eff.sup.2) so that an engagement profile during the first power skiving machining is substantially identical to an engagement profile during the second power skiving machining.
14. The method according to claim 5, further comprising ascertaining by computer the first effective intersection angle of axes (.sub.eff.sup.1) and the second effective intersection angle of axes (.sub.eff.sup.2) so that an engagement profile during the first power skiving machining is substantially identical to an engagement profile during the second power skiving machining.
15. The method according to claim 6, further comprising ascertaining by computer the first effective intersection angle of axes (.sub.eff.sup.1) and the second effective intersection angle of axes (.sub.eff.sup.2) so that an engagement profile during the first power skiving machining is substantially identical to an engagement profile during the second power skiving machining.
16. The method according to claim 1, wherein each of the multiple cutting teeth or cutting inserts defines a first flank cutting edge and a second flank cutting edge opposite the first flank cutting edge, and during the step of executing the second power skiving machining, both the first flank cutting edge and a second flank cutting edge machine the workpiece.
17. A method comprising: power skiving a workpiece having a workpiece axis of rotation and a rotationally-symmetrical, periodic structure using a power skiving tool comprising multiple cutting teeth or cutting inserts, the method further comprising: setting a first effective intersection angle of axes (.sub.eff.sup.1) of the power skiving tool in relation to the workpiece, executing a first power skiving machining of the workpiece using the first effective intersection angle of axes (.sub.eff.sup.1), wherein during the first power skiving machining, the power skiving tool penetrates up to a first infeed depth into the workpiece and the flanks of a periodic structure of the workpiece are premachined, setting a second effective intersection angle of axes (.sub.eff.sup.2) of the power skiving tool in relation to the workpiece, and executing a second power skiving machining of the workpiece using the second effective intersection angle of axes (.sub.eff.sup.2), wherein during the second power skiving machining, the power skiving tool penetrates up to a final infeed depth into the workpiece and the flanks of the periodic structure of the workpiece are further machined, wherein the first effective intersection angle of axes (.sub.eff.sup.1) differs from the second effective intersection angle of axes (.sub.eff.sup.2), wherein the method further comprises providing a different axial distance between the power skiving tool and (i) the workpiece or (ii) a machining depth in relation to a tooth height during the first power skiving machining and the second power skiving machining, and computing the first effective intersection angle of axes (.sub.eff.sup.1) and the second effective intersection angle of axes (.sub.eff.sup.2) based on (i) setting a first pitch circle diameter for the first power skiving machining and a second pitch circle diameter for the second power skiving machining equal to each other, and (ii) the axial distance of the first power skiving machining and the axial distance of the second power skiving machining.
18. The method according to claim 17, further comprising ascertaining the first effective intersection angle of axes (.sub.eff.sup.1) and the second effective intersection angle of axes (.sub.eff.sup.2) so that the first power skiving machining and the second power skiving machining each define generating lines having substantially the same shape.
19. The method according to claim 17, further comprising ascertaining the first effective intersection angle of axes (.sub.eff.sup.1) and the second effective intersection angle of axes (.sub.eff.sup.2) so that the first power skiving machining and the second power skiving machining each define substantially identical cutting conditions.
20. The method according to claim 17, further comprising: setting by computer a pitch circle location on the power skiving tool of the first power skiving machining and a pitch circle location on the power skiving tool of the second power skiving machining to be equal.
21. The method according to claim 17, further comprising ascertaining by computer the first effective intersection angle of axes (.sub.eff.sup.1) and the second effective intersection angle of axes (.sub.eff.sup.2) so that an engagement profile during the first power skiving machining is substantially identical to an engagement profile during the second power skiving machining.
22. The method of claim 17, wherein the step of setting a second effective intersection angle of axes (.sub.eff.sup.2) of the power skiving tool in relation to the workpiece is performed without reversing a direction of rotation of one or more of the workpiece or the power skiving tool.
23. A method comprising: power skiving a workpiece having a workpiece axis of rotation and a rotationally-symmetrical, periodic structure using a power skiving tool comprising multiple cutting teeth or cutting inserts, the method further comprising: setting a first effective intersection angle of axes (.sub.eff.sup.1) of the power skiving tool in relation to the workpiece, executing a first power skiving machining of the workpiece using the first effective intersection angle of axes (.sub.eff.sup.1), wherein during the first power skiving machining, the power skiving tool penetrates up to a first infeed depth into the workpiece and the flanks of a periodic structure of the workpiece are premachined, setting a second effective intersection angle of axes (.sub.eff.sup.2) of the power skiving tool in relation to the workpiece, and executing a second power skiving machining of the workpiece using the second effective intersection angle of axes (.sub.eff.sup.2), wherein during the second power skiving machining, the power skiving tool penetrates up to a final infeed depth into the workpiece and the flanks of the periodic structure of the workpiece are further machined, wherein the first effective intersection angle of axes (.sub.eff.sup.1) differs from the second effective intersection angle of axes (.sub.eff.sup.2), wherein the method further comprises providing a different axial distance between the power skiving tool and (i) the workpiece or (ii) a machining depth in relation to a tooth height during the first power skiving machining and the second power skiving machining, and ascertaining by computer the first effective intersection angle of axes (.sub.eff.sup.1) and the second effective intersection angle of axes (.sub.eff.sup.2) so that an engagement profile during the first power skiving machining is substantially identical to an engagement profile during the second power skiving machining.
24. The method according to claim 23, further comprising ascertaining the first effective intersection angle of axes (.sub.eff.sup.1) and the second effective intersection angle of axes (.sub.eff.sup.2) so that the first power skiving machining and the second power skiving machining each define generating lines having substantially the same shape.
25. The method according to claim 23, further comprising ascertaining the first effective intersection angle of axes (.sub.eff.sup.1) and the second effective intersection angle of axes (.sub.eff.sup.2) so that the first power skiving machining and the second power skiving machining each define substantially identical cutting conditions.
26. The method according to claim 23, further comprising setting by computer a pitch circle location on the power skiving tool of the first power skiving machining and a pitch circle location on the power skiving tool of the second power skiving machining to be equal.
27. The method of claim 23, wherein the step of setting a second effective intersection angle of axes (.sub.eff.sup.2) of the power skiving tool in relation to the workpiece is performed without reversing a direction of rotation of one or more of the workpiece or the power skiving tool.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
(1) Further details and advantages of the invention are described hereafter on the basis of exemplary embodiments and with reference to the drawing. In all schematic drawings, for the sake of simplicity of the illustration, workpiece and power skiving tool are reduced to the situation on the pitch circle (or on the workpiece on the pitch cylinder). However, the illustrated relationships also apply for all of the gear teeth having a tooth height.
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DETAILED DESCRIPTION OF EMBODIMENTS OF THE INVENTION
(18) Terms are used in conjunction with the present description which are also used in relevant publications and patents. However, it is to be noted that the use of these terms is only to serve for better comprehension. The concept of the invention and the scope of protection of the patent claims are not to be restricted in the interpretation by the specific selection of the terms. The invention may be readily transferred to other term systems and/or technical fields. The terms are to be applied accordingly in other technical fields.
(19) Rotationally-symmetrical, periodic structures are, for example, gearwheels (such as spur gears) having internal or external gear teeth. However, this can also relate, for example, to brake disks, clutch or transmission elements, and the like. In particular, this relates to the production of pinion shafts, worms, elements for gearwheel pumps, ring joint hubs (ring joints are used, for example, in the automotive sector, to transmit the force from a differential to a vehicle wheel), spline shaft connections, sliding collars, pulleys, and the like. The periodic structures are also referred to as periodically repeating structures here.
(20) Reference is primarily made hereafter to gearwheels, teeth, and tooth gaps. However, the invention may also be transferred to other components having other periodic structures, as mentioned above. In these other components, this does not relate to tooth gaps in this case, but rather to grooves or channels, for example.
(21) Since aspects of the invention relate to the intersection angle of axes , which was already described at the outset, or the effective intersection angle of axes .sub.eff, which is directly related thereto, a definition of these angles and further relevant variables is provided hereafter. In this case, a superscript i always identifies the variable for the i.sup.th cut, with 1ik, wherein for the final step i=k.
(22) TABLE-US-00001 Projection of intersection of The view of the workpiece and the power skiving tool along the axes joint plumb of the axes of rotation R1 and R2 from the axis of rotation R2 in the direction of the gear teeth is referred to as the axis intersection projection. FIG. 2B shows an projection of intersection of axes, for example. Intersection angle of axes The intersection angle of axes .sup.i is the smaller angle in absolute value which is enclosed by the two axes of rotation R1 and R2 in the i.sup.th cut. It is visible in the axis intersection projection. The relationship 90 < .sup.i < 90, .sup.i 0 applies. The intersection angle of axes .sup.i is signed. Pitch point The pitch point WP.sup.i corresponds to the contact point of the respective pitch circles with the diameters d.sub.w2.sup.i and d.sub.w1.sup.i of workpiece and tool, respectively. Velocity vectors {right arrow over (v)}.sub.1.sup.i is the velocity vector on the power skiving tool and {right arrow over (v)}.sub.2.sup.i is the velocity vector on the workpiece. These velocity vectors {right arrow over (v)}.sub.1.sup.i and {right arrow over (v)}.sub.2.sup.i are defined for each of the k cuts at the associated pitch point WP.sup.i. Effective intersection angle The effective intersection angle of axes .sub.eff.sup.i in the ith cut is the of axes angle enclosed by the two velocity vectors {right arrow over (v)}.sub.2.sup.i and {right arrow over (v)}.sub.1.sup.i according to
(23) In conventional multiple cut machining, the machining depth for the individual cuts is produced by the radial infeed with respect to the workpiece 50. In this case, the spatial orientation, which is defined by the angles , .sub.eff, and , of the cutting teeth 111 of the tool 100 or of the tool inserts of the tool 100 in relation to the workpiece 50 does not change. That is to say, the angles .sup.i, .sub.eff.sup.i, and .sup.i are equal for all cuts in conventional skiving.
(24) In multiple cut machining, as a result of the different radial infeed, the (sign-capable) axial distance a between workpiece axis R2 and tool axis R1 also changes. That is to say, the distances a.sup.i are different for each of the k individual cuts. When working with a non-inclined tool 100 (.sup.i=0), the radial infeed directly corresponds to the change of the axial distance a.
(25) If the resulting cutting speed vector in the pitch point WP.sup.i of the ith cut and for the final cut (i=k) is to point in the direction of the gap 52 of the workpiece 50, the following general condition thus has to be fulfilled:
d.sub.w1.sup.i=d.sub.w2.sup.i.Math.u.Math.cos(.sub.w2.sup.i)/cos(.sub.eff.sup.i.sub.w1.sup.i)
(26) u is the transmission ratio and .sub.w2.sup.i is the inclination angle of the workpiece 50 on the pitch circle diameter d.sub.w2.sup.i.
(27) For the more easily comprehensible case of straight gear teeth (.sub.w2i=.sub.2=0), the relationship is
d.sub.w1.sup.i=d.sub.w2.sup.i.Math.u.Math.cos(.sub.eff.sup.i)
(28) and the formula for the axial distance from the above table simplifies to
2a.sup.i=d.sub.w1.sup.i.Math.(1cos(.sup.i)/u).Math.sin(.sub.eff.sup.i)/sin(.sup.i)[2].
(29) From this definition of the axial distance a.sub.i, it is apparent that in conventional multiple cut power skiving, with a change of the axial distance a.sub.i, the respective active pitch circle diameter d.sub.w1.sup.i of the tool 100 changes as a result of maintaining the spatial orientation of the cutting teeth 111 or of the tool insert.
(30) During the machining of the internal gear teeth, the axial distance a.sup.1 in the first cut is less than the axial distance a.sup.k in the final cut k, as is the active pitch circle diameter of the tool 100. This situation and the resulting different cutting conditions are illustrated in
(31) According to certain embodiments, the goal is to obtain similar profiles of the generating lines 116 during the individual cuts. To obtain similar profiles of the generating lines 116 during the non-final cuts (i<k) while using the same tool 100, according to certain embodiments, the pitch circle diameter d.sub.w1.sup.i is kept approximately constant. From above formula [02], it is apparent that this can be achieved by adapting the spatial orientation of the cutting tooth 111 or of the tool insert of the tool 100, i.e., which can be achieved via the angles .sup.i, .sub.eff.sup.i, and .sup.i related via formula [01], which is contained in the above table.
(32) In this case, the inclination angle .sup.i is preferably kept constant, so that the angles .sup.i and .sub.eff.sup.i result from formula [02]. However, this does not have to be the case. The inclination angle .sup.i could also be changed in specific limits for a part or for all cuts.
(33) Certain embodiments are thus based on the fact that, for example, a two-cut power skiving method works with two effective intersection angle of axes (called first effective intersection angle of axes .sub.eff.sup.1 and second effective intersection angle of axes .sub.eff.sup.2 here), which significantly differ. In a k-cut power skiving method, there are k different effective intersection angle of axes .sub.eff.sup.1 to .sub.eff.sup.k. (In various embodiments, k is an integer greater than or equal to 2).
(34) The absolute value of the difference of the various effective intersection angle of axes .sub.eff.sup.i is dependent on the respective pitch circle location.
(35) Reference is also made hereafter to a skewed location of the two axes of rotation R1 and R2, if the intersection angle of axes .sup.i is not equal to zero. Since the intersection angle of axes .sup.i is always not equal to zero according to certain embodiments, the two axes of rotation R1 and R2 are set skewed in certain embodiments.
(36) Fundamental aspects of the method according to certain embodiments are described hereafter with reference to the very schematic depictions of
(37) .sub.w1=.sub.w1.sup.k is the inclination angle of the power skiving tool 100 on the pitch circle and .sub.w2=.sub.w1.sup.k is the inclination angle of the workpiece 50 on the pitch circle. The effective intersection angle of axes .sub.eff fulfills the relationship .sub.eff=.sub.w2+.sub.w1. These values are typically ascertained in the scope of the computer design in consideration of optimum chip conditions for the final cut, during which the final flank surface is generated. The final cut is performed in a method having k steps in the k.sup.th step. That is to say, the effective intersection angle of axes .sub.eff.sup.k=.sub.eff is more or less ascertained in the computer design.
(38) Previously, the same effective intersection angle of axes .sub.eff.sup.k was used in all k cuts of a k-cut power skiving method. In certain embodiments, a different effective intersection angle of axes is specified and set in each case in all or in a part of the k cuts. That is to say, before all cuts or before a part of the cuts, the power skiving tool 100 is pivoted in each case in relation to the workpiece 50 into another position, to thus obtain a comparable profile of the generating line 116.
(39) The basic principle of the method according to certain embodiments for power skiving a workpiece 50 will now be shown and described on the basis of
(40) According to certain embodiments, a workpiece 50 and a power skiving tool 100 are provided. The power skiving tool 100 has multiple cutting teeth 111 and has an axis of rotation R1. Each of the cutting teeth 111 comprises a first flank cutting edge 113 for cutting the right flanks 54, a second flank cutting edge 112 for cutting the left flanks 53, and a head cutting edge 114, which is located in a transition region between the first flank cutting edge 113 and the second flank cutting edge 112 and machines the tooth base 55.
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(42) The following lines are additionally shown, to make the relative locations of the power skiving tool 100 and the workpiece 50 recognizable in
(43) The first step of the method is shown in
(44) The second step of the method is shown in
(45) In
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(47) It can be recognized on the basis of
(48) The movement of a cutting tooth 111 of a power skiving tool 100 through the material of a workpiece 50 during power skiving is schematically shown in
(49) Because of the superposition of coupled rotational movements, i.e., which are synchronized with one another, of the power skiving tool 100 about the first axis of rotation R1 and of the workpiece 50 about the second axis of rotation R2, and of feed movements of the power skiving tool 100 in relation to the workpiece 50, when recording the entirety of the path points of a cutting edge, a type of trough shape results, as shown in
(50) The effective rake angle .sub.s on the cutting head, which is negative at the moment shown, is sketched in
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(56) The material removal takes place in the gray region of the trough 115. The chip formation begins in the counter-rotating power skiving, which is shown as an example, approximately in the trough middle, i.e., in the region of the generating line 116 or in the region of the transition from the gray region 118 to the region illustrated as white, and ends directly at the front-most trough edge 84 (viewed in feed direction VR).
(57) The change of the shape of the generating line 116 from an inclined profile in
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(60) According to certain embodiments, in each case different effective intersection angle of axes .sub.eff.sup.i were ascertained by a computer and set by a controller of a power skiving machine for the first, second, and third cuts. The respective effective intersection angle of axes .sub.eff.sup.1 for the first cut, .sub.eff.sup.2 for the second cut, and .sub.eff.sup.3 for the third (final) cut were ascertained so that during the execution of the first power skiving machining, during the execution of the second power skiving machining, and during the execution of the third (final) power skiving machining, in each case generating lines 116 result, the shapes of which are identical or similar and therefore result in similar chip conditions.
(61) It can be recognized on the basis of
(62) If one wishes to achieve similarity in the shape of the generating line 116, thus, for example, the respective effective intersection angle of axes (and optionally also the inclination angle .sub.i) of the individual cuts can be specified so that the profile of the generating line 116, in all cuts, extends monotonously inclined in the same direction, wherein preferably the slope is to be equal or similar, or extends in a Z shape, wherein preferably in the Z-shaped profile, the offset of the two outer lines of the generating line 116 is to be equal or similar
(63) As has been shown, by adapting the effective intersection angle of axes, the engagement profile can be qualitatively equal in all three cuts, with regard to the chip flow, the locally occurring forces, and the direction reversals.
(64) These simulations have shown that a very positive effect results due to the invention with respect to the chip thicknesses on the incoming and outgoing flanks.
(65) It is also a secondary effect of the tool pivoting that the effective rake angle changes. The effective rake angle is improved in particular for the very thin chips on the incoming flank, which generally has a good effect on the power skiving method. Simulations have shown that the effective rake angle on the cutting head 111 for non-final cuts was in fact able to be improved in relation to conventional power skiving methods.
(66) The positive effect of the invention is illustrated on the basis of specific numeric examples hereafter.
(67) Instead of an unfavorable effective rake angle of 20.5 in the first cut of a conventional power skiving method (see
(68) Furthermore, it can be seen that the trough 115 becomes larger due to the enlargement of the intersection angle of axes, which has a positive effect on the head rake angle for the first cut.
(69) The effective chip removal thicknesses at equal feed of the tool 100 in relation to the workpiece 50 are also decreased. Accordingly, a higher feed can be used with equal chip removal thickness.
(70) The method according to certain embodiments comprises at least the following steps, wherein the steps do not necessarily have to be executed in the specified sequence: providing the workpiece 50, providing the power skiving tool 100, which has multiple cutting teeth 111, specifying a first effective intersection angle of axes .sub.eff1 of the power skiving tool 100 in relation to the workpiece 50, executing a first power skiving machining of the workpiece 50, wherein during the first power skiving machining, the power skiving tool 100 penetrates up to a first infeed depth (for example, 33.33% of the final depth) into the workpiece 50 and the flanks 53.v, 54.v of the periodic structure of the workpiece 50 are pre-machined (this step is shown as an example in
(71) The plunging of the tool 100, or the cutting teeth 111 of the tool 50, into the material of the workpiece 50 is specified, for example, by the axial distance a of the axes R1 and R2. The axial distance for a first cut and for a second (final) cut can therefore be assumed to be given according to one embodiment. According to certain embodiments, a first effective intersection angle of axes .sub.eff.sup.1 and a second effective intersection angle of axes .sub.eff.sup.2 can be ascertained by computer, for example. In the scope of this ascertainment, the first pitch circle diameter for the first power skiving machining (i.e., for the first cut) and the second pitch circle diameter for the second power skiving machining (i.e., for the second cut) are set equal. Because the axial distance a.sup.1 for the first power skiving machining and the axial distance a.sup.2 for the second power skiving machining are known, the first effective intersection angle of axes .sub.eff.sup.1 and the second effective intersection angle of axes can can now be ascertained by computer.
(72) The final cut does not always have to be designed as shown and described in the specific exemplary embodiment.
(73) For the general case (spiral gear teeth), the relationship, which is given according to the formula in the above table, between axial distance, pitch circle diameter, and tool orientation is more complex, but qualitatively equivalent, i.e., it enables the procedure demonstrated for the special case on the basis of somewhat more complex calculation formulas.
(74) According to certain embodiments, during the first power skiving machining, the power skiving tool 100 is rotated by CNC-controlled drives (not shown) in a first rotational direction at the angular velocity .sub.1 about the axis of rotation R1 and the workpiece 50 is rotated in a second rotational direction at the angular velocity .sub.2 about the workpiece axis of rotation R2. During the first power skiving machining, a different effective intersection angle of axes is specified by the CNC-controlled drives than during the final power skiving machining. A directional reversal does not take place.
(75) The described power skiving method can be used in a dry or wet form in various embodiments, wherein the use of the power skiving in a dry form is preferred.
(76) The usage spectrum of the described power skiving method is large and extends to the application in the production of greatly varying rotationally-symmetrical periodic structures.
(77) As may be recognized by those of ordinary skill in the pertinent art based on the teachings herein, numerous changes and modifications may be made to the above-described and other embodiments of the present invention without departing from the spirit of the invention as defined in the claims. Accordingly, this detailed description of embodiments is to be taken in an illustrative, as opposed to a limiting sense.