METHOD FOR GRINDING A GEAR WHEEL BY MEANS OF A WORM GRINDING WHEEL, AND A DRESSING ROLL FOR DRESSING THE WORM GRINDING WHEEL

Abstract

A method for grinding a gear wheel by a worm grinding wheel in a grinding machine, wherein the tooth flanks of the gear wheel are ground by the abrasive flanks of the profiling of the worm grinding wheel. In order to increase the productivity of the grinding, the method includes the following steps: a) calculating the engagement ratios between the abrasive flanks of the profiling of the worm grinding wheel and the tooth flanks of the gear wheel, wherein the size of the profile forming zone is determined; b) determining a geometry modified in respect of the geometry determined according to step a) such that the profile forming zone is minimal; c) profiling the worm grinding wheel with the geometry which has thus resulted; d) grinding the gear wheel by the worm grinding wheel profiled according to step c).

Claims

1-12. (canceled)

13. A method for grinding a gear wheel by means of a worm grinding worm in a grinding machine, wherein the tooth flanks of the gear wheel are ground with the abrasive flanks of the profiling of the grinding worm, wherein the gear wheel has an axis of rotation, wherein the grinding worm has an axis of rotation, and wherein the toothing of the gear wheel to be ground has a base circle diameter, a root circle diameter and a tip circle diameter, wherein the method comprises the steps of: a) Calculation of the engagement ratios between the abrasive flanks of the profiling of the grinding worm and the tooth flanks of the gear wheel when the gear wheel and the grinding worm are engaged for grinding, wherein a section is considered along a plane which includes the axis of rotation of the grinding worm and which is perpendicular to the axis of rotation of the gear wheel; said calculation comprising: a1) Determination of a first line of engagement resulting from the contact points between two successive abrasive flanks and two successive tooth flanks; a2) Determination of a second line of engagement resulting from the contact points between two successive abrasive flanks opposite the abrasive flanks and two successive tooth flanks opposite the tooth flanks; a3) Determination of the intersection point of the first and second lines of engagement; a4) Determination of a line passing through the intersection point and tangent to the base circle diameter of the toothing of the gear wheel; a5) Determination of the intersection point of the line with the root circle diameter and determination of the intersection point of the line (13) with the tip circle diameter; a6) Determination of the line that results as the intersection of the plane with a second plane that contains the axis of rotation of the gear wheel, that is perpendicular to the plane and that contains the intersection of the first and second lines of engagement; a7) Determination of the distance between the intersection point of the line with the root circle diameter and the line of the intersection line of the planes; a8) Determination of the distance between the intersection point of the line with the tip circle diameter and the line of the intersection line of the planes; b) Determination of a changed geometry of the engagement ratios compared to the one determined according to step a) by changing the position of the line which is tangent to the base circle diameter of the toothing of the gear wheel in such a way that the distances are equal; c) Profiling of the grinding worm with the geometry of the engagement ratios that results when the distances are equal; d) Grinding of the gear wheel with the grinding worm profiled according to step c).

14. The method according to claim 13, wherein the root circle diameter is the usable root circle diameter and the tip circle diameter is the usable tip circle diameter.

15. The method according to claim 13, wherein the root circle diameter is the form circle root diameter and the tip circle diameter is the form circle tip diameter.

16. The method according to claim 13, wherein modifications for profiling the grinding worm are made after carrying out step b) and before carrying out step c).

17. The method according to claim 13, wherein the profiling of the grinding worm is carried out according to step c) by manufacturing a worm steel base body and covering it with a layer of abrasive material.

18. The method according to claim 13, wherein the profiling of the grinding worm is carried out according to step c) by providing a dressable grinding worm with the geometry.

19. The method according to claim 18, wherein for the profiling of the grinding worm a dressing roller is produced which corresponds to the geometry and with which the grinding worm is dressed.

20. The method according to claim 18, wherein the profiling of the grinding worm is carried out with a numerically controlled dressing device which produces the geometry of the abrasive flanks of the grinding worm.

Description

[0039] An example of an embodiment of the invention is shown in the drawings.

[0040] FIG. 1 shows a perspective view of a gear wheel that is being hard-fine machined with a grinding worm,

[0041] FIG. 2 shows schematically the engagement relationships between the gear teeth and the grinding worm according to the state of the art,

[0042] FIG. 3 shows schematically the engagement relationships between the gear teeth and the grinding worm in an embodiment according to the invention, and

[0043] FIG. 4 shows schematically the geometric relationships of the engagement between the gearing and the grinding worm, illustrating the change from the prior art to the solution according to the invention.

[0044] FIG. 1 first illustrates the basic procedure for grinding the teeth of a gear wheel 1 with a grinding worm 2. The gear wheel 1 rotates about the axis of rotation a, and at the same time the grinding worm 2 rotates about the axis of rotation b with a given mesh between the gear wheel 1 and the grinding worm 2. The abrasive flanks 3, 4, 5, 6 of the grinding worm 2 wear off an allowance located on the tooth flanks of the toothing of the gear 1.

[0045] The profiling of the abrasive flanks 3, 4, 5, 6 of the grinding worm 2 is carried out according to the method described below.

[0046] To this end, the usual prior art procedure is first shown in FIG. 2:

[0047] The gear wheel 1 is in engagement with the grinding worm 2, and in particular the tooth flanks 7, 8, 9, 10 of the gear wheel 1 to be ground are in engagement with the abrasive flanks 3, 4, 5, 6 of the grinding worm 2. Shown in FIG. 2 (as well as in FIG. 3) is a section which is obtained along a plane E1 which contains the axis of rotation b of the grinding worm 2 and which is perpendicular to the axis of rotation a of the gear wheel 1. Perpendicular to the drawing plane in FIGS. 2 and 3 is a second plane E2, which contains the axis of rotation a of gear 1 and which is perpendicular to plane E1.

[0048] Contact points S1 and S2 with the abrasive flanks 3 and 5 of the grinding worm 2 result in engagement for two successive tooth flanks 7 and 9 of the gear wheel 1. Correspondingly, contact points S3 and S4 result on the mating flanks, namely between the tooth flanks 8 and 10 with the abrasive flanks 4 and 6.

[0049] A first line of engagement 11 can be defined by the contact points S1 and S2, and a second line of engagement 12 can also be defined by the contact points S3 and S4. Their intersection point S5 provides the pitch diameter d.sub.0 of the toothing of the gear wheel 1 (see FIG. 4). A line 14 can be drawn through this intersection point S5, which results from the intersection of the two planes E1 and E2.

[0050] According to the state of the art, the grinding worm 2 is profiled for the resulting engagement situation as shown in FIG. 2. For example, a diamond dressing roll is manufactured which corresponds to the geometry of the gear wheel 1 to be ground and which then produces the profile of the abrasive flanks 3, 4, 5, 6 in engagement with the grinding worm 2.

[0051] Referring to FIG. 4, it can be seen that a tangent line passing through the intersection point S5 can be applied to the base circle diameter d.sub.b of the gear teeth of gear wheel 1; this line is designated 13.

[0052] The line 13 intersects the usable root circle diameter d.sub.Nf of the gear teeth of gear wheel 1 at an intersection point S6; likewise, the line 13 intersects the tip usable pitch circle diameter dNa of the gear teeth of gear wheel 1 at an intersection point S7.

[0053] The intersection points S6 and S7 determined in this way allow distances a1 and a2 to be determined, measured from the line 14.

[0054] As can be seen from FIG. 4 and as it is also reflected in FIG. 2, the tip engagement distance (area of the line 13 between the intersection point S5 and the intersection point S7) and the root engagement distance (area of the line 13 between the intersection point S5 and the intersection point S6) are of different sizes. FIG. 2 thus shows the usual machining situation without any change in the engagement ratios on the grinding worm; the root and tip portions of the engagement between the workpiece and the tool are clearly different.

[0055] The profile formation zone PAZ is twice the larger of the two distances a1 and a2, i.e. twice the distance a1 in the case of the situation shown in FIG. 4.

[0056] FIG. 4 illustrates the method according to the invention for moving from the explained meshing situation between gear wheel 1 and grinding worm 2 to an improved situation (the numerical iterative procedure is described here (using the angle difference Δα), in which the calculation is performed with a changed position of the line 13 in each case; this represents an alternative to a direct determination of the desired final geometry):

[0057] As can be seen, the perpendicular to the line 13 (line through the intersection point S5 and tangential to the base circle diameter d.sub.b) runs through the axis of rotation a of the gear wheel 1. The perpendicular thereby encloses an angle α with the line 14.

[0058] After the situation according to FIG. 2 has been calculated, the calculation is now repeated step by step, changing the angle α; namely, it is changed by a given angle difference Δα and it is determined for the new situation thus resulting how the size ratio of the distances a1 and a2 changes.

[0059] The calculation is continued until the condition is reached, which is shown in FIG. 1 and in which the two distances a1 and a2 are equal: a1.sub.opt=a2.sub.opt. For this situation, the root and tip portions of the engagement are equal. This situation corresponds to FIG. 3, where the resulting ratios are sketched.

[0060] In the optimum case, where the two distances a1 and a2 are equal, the result is a minimum and thus optimum profile formation zone PAZ.sub.opt, as shown in FIG. 4; this is twice the now equal distances a1.sub.opt and a2.sub.opt.

[0061] Since the PAZ.sub.opt profile formation zone is now minimized, only a smaller axial section of the grinding worm is required for machining the workpiece. This means that more workpieces can be machined between two dressing operations for the same axial worm length. The productivity of the process is increased accordingly.

[0062] The calculation described above (see FIG. 4) was based on the usable root circle diameter d.sub.Nf and the usable tip circle diameter d.sub.Na. However, it is also possible to base the calculation on the form circle root diameter d.sub.Ff and the form circle tip diameter d.sub.Fa. These diameters lie a bit lower or higher than the two useable circles. Depending on which diameter is available as data input, these can be used in the calculation.

[0063] It should be noted that in the process steps a1) and a2) described above, the lines of engagement are determined as they result from the contact points between the gear wheel and the tool for two successive tooth flanks. However, the number of simultaneous contact points between tool and tooth flanks varies depending on the gear parameters.

[0064] The lines of engagement determined in accordance with steps a1) and a2) ultimately correspond to line 13, since this line is tangent to the base circle of the gearing (which is ultimately the definition of the line of engagement). However, the line 13 was introduced as an independent element, since it is the line that is varied in the further course of the calculation.

[0065] As mentioned above, there are gearing cases where the explained optimization (i.e. ultimately the change made to the engagement angle) is not possible, because either [0066] 1. the form root circle or usable root circle is not reached by the grinding worm due to an unfavorable toothing geometry or [0067] 2. the root rounding radius cannot be completely formed in the toothing.

[0068] In such cases, the calculated optimum pressure angle (with a1.sub.opt=a2.sub.opt) at the grinding worm must be recalculated iteratively or analytically after performing the described calculation (according to step a) and step b) of claim 1) and before profiling the grinding worm (according to step c) of claim 1) until the mentioned limitations (1. and/or 2.) no longer exist. The new pressure angle at the grinding worm determined in this way is then no longer optimal in the sense of the explained adjustment of the lines of action (with a1.sub.opt=a2.sub.opt), but nevertheless more favorable than with nominal pressure angle (from which the original calculation started). In any case, an increase in productivity is also achieved in this way.

[0069] The following should also be noted: The “root circle diameter” is sometimes defined as the diameter at which the lowest point of the gear tooth gap is located. The same applies to the “tip circle diameter”, which frequently indicates or designates the highest point of the gear tooth gap. In the case of the present invention, however, the terms “root diameter” and “tip diameter” are to be understood as the diameter at which the involute starts or ends.

LIST OF REFERENCES

[0070] 1 Gear wheel (workpiece) [0071] 2 Grinding worm (Grinding tool) [0072] 3 Abrasive flank of the profiling of the grinding worm [0073] 4 Abrasive flank of the profiling of the grinding worm [0074] 5 Abrasive flank of the profiling of the grinding worm [0075] 6 Abrasive flank of the profiling of the grinding worm [0076] 7 Tooth flank of the gear wheel [0077] 8 Tooth flank of the gear wheel [0078] 9 Tooth flank of the gear wheel [0079] 10 Tooth flank of the gear wheel [0080] 11 First line of engagement [0081] 12 Second line of engagement [0082] 13 Line through the intersection point S5 and tangential to the base diameter [0083] 14 Line of the intersection line pf the planes E1 and E2 [0084] a Axis of rotation of the gear wheel [0085] b Axis of rotation of the grinding worm [0086] d.sub.b Base circle diameter of the toothing of the gear wheel [0087] d.sub.f Root circle diameter of the toothing of the gear wheel [0088] d.sub.a Tip circle diameter of the toothing of the gear wheel [0089] d.sub.Nf Usable root circle diameter of the toothing of the gear wheel [0090] d.sub.Na Usable tip circle diameter of the toothing of the gear wheel [0091] d.sub.Ff Form circle root diameter of the toothing of the gear wheel [0092] d.sub.Fa Form circle tip diameter of the toothing of the gear wheel [0093] d.sub.0 Pitch circle diameter of the toothing of the gear wheel [0094] E1 Plane (contains axis of rotation b of the grinding worm, perpendicular to the axis of rotation a of the gear wheel) [0095] E2 Plane (contains axis of rotation a of the gear wheel, perpendicular to plane E1 and contains intersection point S5) [0096] S1 Contact point [0097] S2 Contact point [0098] S3 Contact point [0099] S4 Contact point [0100] S5 Intersection point of the first and the second line of engagement [0101] S6 Intersection point of the line (13) with the usable root diameter [0102] S7 Intersection point of the line (13) with the usable tip diameter [0103] a1 Distance between the intersection point S6 and the line 14 [0104] a2 Distance between the intersection point S7 and the line 14 [0105] PAZ Profile formation zone [0106] α Angle [0107] Δα Angle difference