THREAD MILLING CUTTER AND INTERNAL PIPE THREAD MACHINING METHOD USING THE SAME

Abstract

In order to form an internal thread having a concave surface having the same shape as that obtained by using a thread cutting blade having a convex surface without using such a thread cutting blade in formation of an internal thread hole in a mold component or the like using a thread milling cutter, a trimming blade has a leading-side flank surface extending from an axial tip side of a tool body to the rear side, a top surface formed continuously to the leading-side flank surface in the axial direction, and a trailing-side flank surface formed continuously to the top surface in the axial direction. Two or more chamfered surfaces are formed between the leading-side flank surface and the top surface and between the top surface and the trailing-side flank surface in the trimming blade.

Claims

1. A thread milling cutter helically fed to form an internal thread in a workpiece, the thread milling cutter comprising a cutting blade portion having a plurality of thread cutting blades formed in an outer circumference of an axial tip side of a tool body with an interval in a circumferential direction and fed from a center side to an outer circumference side in a radial direction, wherein the thread cutting blade has at least a trimming blade for forming the internal thread, the trimming blade having a leading-side flank surface extending from an axial tip side of the tool body to a rear side, a top surface formed continuously to the leading-side flank surface in an axial direction, and a trailing-side flank surface formed continuously to the top surface in the axial direction, and two or more chamfered surfaces are respectively formed between the leading-side flank surface and the top surface and between the top surface and the trailing-side flank surface.

2. The thread milling cutter according to claim 1, wherein the two or more trimming blades are formed continuously in the axial direction, and out of the two or more trimming blades, an axial width v corresponding to a concave portion of a flute portion hollowed to a center side of the radial direction and formed between the trailing-side flank surface of the trimming blade of the axial tip side of the tool body and the leading-side flank surface of the trimming blade in the rear side of the axial direction is larger than an axial width u of the top surface corresponding to a convex portion protruding toward an outer circumference side of the radial direction of the tool body.

3. The thread milling cutter according to claim 1, wherein widths P and Q along ridges of the leading-side flank surface and the trailing-side flank surface of the chamfered surface are equal to or smaller than a width S along the ridge of the top surface.

4. The thread milling cutter according to claim 1, wherein the two or more trimming blades are formed continuously in the axial direction, and out of the two or more trimming blades, a flute portion having a concave curve shape hollowed in a center side of the radial direction is formed between the trailing-side flank surface of the trimming blade of the axial tip side of the tool body and the leading-side flank surface of the trimming blade of the rear side of the axial direction.

5. The thread milling cutter according to claim 1, wherein the thread cutting blade has a preceding blade placed in an axial tip side of the tool body and a trimming blade placed in rear of the preceding blade in the axial direction, the trimming blade has a top portion higher than that of the preceding blade, and two or more trimming blades are formed continuously in the axial direction.

6. The thread milling cutter according to claim 2, wherein an angle between a straight line passing through a vertex of the trimming blade placed in the vicinity to the axial tip portion out of the two trimming blades formed continuously in the axial direction and a vertex of the trimming blade neighboring to the rear side of the axial direction and the rotation axis is within a range of 0 to 5.0 as seen in a cross section passing through the rotation axis of the tool body.

7. The thread milling cutter according to claim 6, wherein an angle between a straight line passing through a vertex of the trimming blade placed in the vicinity of the axial tip portion and a vertex of the trimming blade neighboring to the rear side of the axial direction and the rotation axis is larger than 0.

8. An internal pipe thread machining method using the thread milling cutter according to claim 1, the method comprising: rotating the thread milling cutter with respect to a rotation axis O of the tool body, revolving the thread milling cutter with respect to a revolution axis OR decentered from the rotation axis O and placed in parallel with the rotation axis O, and feeding the thread milling cutter to a workpiece side in an axial tip side to form roots and crests of internal threads in the workpiece.

9. The thread milling cutter according to claim 2, wherein widths P and Q along ridges of the leading-side flank surface and the trailing-side flank surface of the chamfered surface are equal to or smaller than a width S along the ridge of the top surface.

Description

BRIEF DESCRIPTION OF DRAWINGS

[0063] FIG. 1 is a side view illustrating a machining example of a thread milling cutter according to the present invention having a thread cutting blade having a preceding blade and a trimming blade;

[0064] FIG. 2 is an enlarged cross-sectional view illustrating the thread milling cutter of FIG. 1 as seen from an end cutting edge in an axial direction;

[0065] FIG. 3 is an enlarged view illustrating a cutting blade portion of the thread milling cutter of FIG. 1;

[0066] FIG. 4(a) is a perspective view illustrating the thread milling cutter of FIG. 3 as seen from the end cutting edge side;

[0067] FIG. 4(b) is an enlarged view of FIG. 4(a);

[0068] FIG. 5(a) is an enlarged view illustrating a dotted box of FIG. 3, and FIG. 5(b) is an enlarged view illustrating a dotted box of FIG. 5(a);

[0069] FIG. 6 is a vertical cross-sectional view illustrating a situation of grinding of an internal pipe thread using a thread milling cutter;

[0070] FIG. 7(a) is a vertical cross-sectional view illustrating a movement locus of a top edge of the thread milling cutter inside a root of the internal thread of the workpiece;

[0071] FIG. 7(b) is a vertical cross-sectional view illustrating a movement locus of the bottom edge in the vicinity of the crest of the internal thread of the workpiece;

[0072] FIG. 8(a) is a side view illustrating how the second chamfered surface is formed in the thread milling cutter according to the present invention;

[0073] FIG. 8(b) is a side view illustrating how the first chamfered surface is formed in the thread milling cutter of FIG. 8(a);

[0074] FIG. 9 is a side view illustrating a machining example of the other thread milling cutter according to the present invention having three trimming blades;

[0075] FIG. 10(a) is a side view illustrating a trimming blade of a thread milling cutter of the prior art that does not have a chamfered surface;

[0076] FIG. 10(b) is a side view illustrating a trimming blade of the thread milling cutter when one chamfered surface is formed in the trimming blade of FIG. 10(a) for reference;

[0077] FIG. 10(c) is a side view illustrating a trimming blade of the thread milling cutter of the prior art formed on a convex surface shape extending from the top surface to the flank surfaces of both sides;

[0078] FIG. 11 is a schematic diagram illustrating a grinding method using a form grinding wheel for machining the convex surface of the thread cutting blade of FIG. 10(c), in which the top edge is formed in the curved surface shape.

[0079] FIG. 12(a) is a vertical cross-sectional view illustrating a locus of movement of the trimming blade of the prior art of FIG. 10(a) for forming a root of the internal thread in the workpiece; and

[0080] FIG. 12(b) is a vertical cross-sectional view illustrating a root formation state using the trimming blade of FIG. 12(a).

DESCRIPTION OF EMBODIMENTS

[0081] FIG. 1 illustrates a machining example of a thread milling cutter 1 (also referred to as a tool body) having a cutting blade portion 2 provided with a plurality of thread cutting blades 4 formed in an outer circumference of an axial tip side of the tool body with an interval in a circumferential direction from a center side of a radial direction toward an outer circumference side to an internal thread 45 in a workpiece 40 through helical feeding. In FIG. 1, the thread cutting blades 4 (4a to 4d) are four blades attached to an end cutting edge by way of example. If the number of thread cutting blades 4 is smaller than three, machining efficiency is degraded. If the number of thread cutting blades 4 is greater than six, chip jamming easily occurs due to reduction of the chip discharge amount. Therefore, the number of the thread cutting blades 4 is preferably set to three to six. In the following description, the thread milling cutter 1 will be described by assuming the number of the thread cutting blades is four as illustrated.

[0082] As illustrated in FIG. 1, along the rotation axis O, the thread milling cutter 1 has a cutting blade portion 2 formed in an axial tip portion of the tool body, a cylindrical shank portion 3 formed in a rear side of the tool body in the axial direction, and a neck portion 60 formed between the cutting blade portion 2 and the shank portion 3 to secure a distance between the cutting blade portion 2 and the shank portion 3. The cutting blade portion 2 has a plurality of thread cutting blades 4a to 4d arranged with an interval separately from the chip pocket 21 in a circumferential direction (rotational direction) of the tool body.

[0083] In FIG. 1, it is assumed that the thread cutting blades 4a to 4d includes preceding blades 5a to 5d placed in the axial tip side of the tool body to roughly cut a root 47 of an internal thread 45 formed in a workpiece 40, and trimming blades 12a to 12d placed in rear of the preceding blades 5a to 5d in the axial direction to trim the root 47 cut by the preceding blades 5a to 5d. Alternatively, the preceding blade 5 may not be provided as illustrated in FIG. 9.

[0084] As illustrated in FIG. 3, the top of the trimming blades 12a to 12d are higher than the top of the preceding blades 5a to 5d as measured from the rotation axis O. As illustrated in FIGS. 3 and 4, rake faces 19a to 19d serving as concave surfaces are formed in the front sides of the thread cutting blades 4a to 4b including the preceding blades 5a to 5d and the trimming blades 12a to 12d in the rotational direction R of FIG. 2. Continuous convex ridges as boundaries between the thread cutting blades 4a and 4d and the rake faces 19a to 19d are cutting blades of the preceding blades 5a to 5d and the trimming blades 12a to 12d. Specifically, they are cutting blades of leading-side cutting edges 6a to 6d and 13a to 13d, trailing-side cutting edges 7a to 7d and 14a to 14d, and the like as described below.

[0085] As illustrated in FIGS. 2 and 4(a), an axial tip portion of the cutting blade portion 2 is provided with end cutting edges 30a to 30d for grinding an internal thread hole of the workpiece 40 from the rotation axis O toward the outer circumference side in the radial direction. As illustrated in FIG. 2, rake faces 32a to 32d are formed in the front side of the rotational direction of the end cutting edges 30a to 30d, and clearance faces 31a to 31d are formed in the rear side of the rotational direction. As illustrated in FIGS. 3 and 4, the rake faces 19a to 19d of the thread cutting blades 4a to 4d form surfaces different from the rake faces 32a to 32d of the end cutting edges 30a to 30d and are placed in the rear side of the axial direction of the rake faces 32a to 32d and in the rear side of the rotational direction.

[0086] Gashes 33a to 33d for discharging chips cut by the end cutting edges 30a to 30d are formed between each of the rake faces 32a to 32d of the end cutting edges 30a to 30d and the clearance faces 31b to 31a of the end cutting edges 30b to 30a placed in the front side of the rotational direction. The gashes 33a to 33d are continuous to the chip pockets 21a to 21d formed up to the neck portion 60 to discharge chips of the gashes 33a to 33d in the axial direction of the tool body.

[0087] As illustrated in FIGS. 3 and 4, the chip pockets 21a to 21d include trench bottom faces 22a to 22d continuous to the gashes 33a to 33d in the axial direction or along the axial direction, trench wall faces 23a to 23d in the front side of the rotational direction, and rake faces 19a to 19d of the thread cutting blades 4a to 4d in the rear side of the rotational direction. Here, the word continuous means different surfaces are continuous in space and is synonymous with adjacent or communicate.

[0088] When the thread cutting blades 4a to 4d have the preceding blades 5a to 5d, as illustrated in FIGS. 2 to 4, the preceding blades 5a to 5d are formed continuously from the outer circumferential ends of the radial direction of the end cutting edges 30a to 30d. As illustrated in FIGS. 1 and 3, as the preceding blade 5 and the trimming blade 12 are seen from the front side of the rotational direction (as seen in the rotational direction), the preceding blades 5a to 5d are specifically classified into three parts including leading-side cutting edges 6a to 6d, top edges 8a to 8d, and trailing-side cutting edges 7a to 7d from the axial tip side to the rear side in order to form a convex shape corresponding to the shape of the root 47 of the internal thread 45. Similarly, the trimming blades 12a to 12d are configured with three parts including leading-side cutting edges 13a to 13d, top edges 15a to 15d, and trailing-side cutting edges 14a to 14d from the axial tip side to the rear side.

[0089] Out of the preceding blades 5a to 5d and the trimming blades 12a to 12d, the top edges 8a to 8d and 15a to 15d mainly grind the roots 47 of the internal threads 45. Here, the word mainly means that the leading-side cutting edges 6a to 6d and 13a to 13d interposing the top edges 8a to 8d and 15a to 15d in the axial direction and parts of the trailing-side cutting edges 7a to 7d and 14a to 14d close to the top edges 8a to 8d and 15a to 15d may also be involved in cutting of the roots 47.

[0090] As illustrated in FIGS. 2 and 4(b), leading-side flank surfaces 10a to 10d, top surfaces 9a to 9d, and trailing-side flank surfaces 11a to 11d as formed as respective clearance faces in the rear sides of the leading-side cutting edges 6a to 6d, the top edges 8a to 8d, and the trailing-side cutting edges 7a to 7d of the preceding blades 5a to 5d in the rotational direction. Similarly, leading-side flank surfaces 17a to 17d, top surfaces 16a to 16d, and trailing-side flank surfaces 18a and 18d as respective clearance faces are formed in the rear sides of the leading-side cutting edges 13a to 13d, the top edges 15a to 15d, and the trailing-side cutting edges 14a to 14d of the trimming blades 12a to 12d in the rotational direction.

[0091] As illustrated in FIGS. 3 and 4(a), flute portions 20a to 20d for forming the crest 46 of the internal thread 45 are formed between the trailing-side flank surfaces 11a to 11d of the preceding blades 5a to 5d and the leading-side flank surfaces 17a to 17d of the trimming blades 12a to 12d neighboring thereto in the axial direction. When the trimming blades 12a to 12d are continuous in the axial direction, flute portions 20a to 20d are also formed between the trailing-side flank surfaces 18a to 18d of the trimming blades 12a to 12d of the axial tip side and the leading-side flank surfaces 17a to 17d of the trimming blades 12a to 12d in the rear side as illustrated in FIG. 4(b). The ridges of the flute portions 20a to 20d in the front side of the rotational direction serve as bottom edges 24a to 24d for cutting the crest 46 of the internal thread 45.

[0092] The bottom edges 24a to 24d are mainly used to cut the crest 46 of the internal thread 45. However, as illustrated in FIG. 7(b), the trailing-side cutting edges 7a to 7d neighboring to the bottom edges 24a to 24d in the axial direction and parts of the leading-side cutting edges 13a to 13d close to the bottom edges 24a to 24d may also be involved in grinding of the crest 46.

[0093] As illustrated in FIGS. 5(a) and 5(b) that are enlarged views illustrating the dotted box of FIG. 3, two or more first and second chamfered surfaces 25a to 25d and 26a to 26d are formed between the leading-side flank surfaces 17a to 17d of the trimming blades 12a to 12d and the top surfaces 16a to 16d and between the top surfaces 16a to 16d and the trailing-side flank surfaces 18a to 18d.

[0094] As the trimming blades 12a to 12d are seen in the rotational direction, an angle is provided between the first chamfered surfaces 25a to 25d and the second chamfered surfaces 26a to 26d. Therefore, the angle between the first chamfered surfaces 25a to 25d and the top surfaces 16a to 16d is different from the angle between the second chamfered surfaces 26a to 26d and the top surfaces 16a to 16d. Out of the two chamfered surfaces 25 and 26, the chamfered surface 25 farther from the top surfaces 16a to 16d is referred to as first chamfered surfaces 25a to 25d, and the chamfered surface 26 closer to the top surfaces 16a to 16d is referred to as second chamfered surfaces 26a to 26d.

[0095] Since the first chamfered surfaces 25a to 25d are formed farther from the top surfaces 16a to 16d than the second chamfered surfaces 26a to 26d, the angle 1 with the top surfaces 16a to 16d of the first chamfered surfaces 25a to 25d is larger than the angle 2 with the top surfaces 16a to 16d of the second chamfered surfaces 26a to 26d close to the top surfaces 16a to 16d as illustrated in FIG. 5(b). Since the angles 1 and 2 of the first and second chamfered surfaces 25a to 25d and 26a to 26d from the top surfaces 16a to 16d are different from each other, the first and second chamfered surfaces 25a to 25d and 26a to 26d are grinded by rectangular grindstones 75 and 76 having grinding surfaces 75a and 76a depending on the slope angles of the respective chamfered surfaces 25a to 25d and 26a to 26d as illustrated in FIGS. 8(a) and 8(b).

[0096] FIG. 5(a) illustrates an example of the case where an angle between a solid straight line passing through the top edge 15 of the trimming blade 12 of the axial tip side of the tool body in parallel with the rotation axis O and a one-dotted chain straight line passing through a vertex of the trimming blade 12 of the axial tip side and a vertex of the trimming blade 12 neighboring in the rear side of the axial direction therefrom is larger than 0.

[0097] In this example, the trimming blade 12 of the axial tip side cuts the workpiece 40 in advance or performs cutting subsequent to the preceding blade 5. Then, the trimming blade 12 neighboring in the rear side of the axial direction cuts the workpiece 40. Therefore, the trimming blade 12 of the tip side performs rough cutting (rough machining) for the workpiece 40, and the trimming blade 12 of the rear side performs trimming (finish machining), so that the cutting can be performed by sharing roles. For this reason, compared to a case where the trimming blade 12 of the trip side continuously performs cutting including the trimming, it is possible to reduce wear of the trimming blade 12 of the tip side and a possibility of breakage caused by the wear. Therefore, it is possible to improve safety against wear and breakage of the trimming blade 12 of the tip side.

[0098] The thread milling cutter 1 is mounted on a main shaft of an NC machine such as a machining center capable of holding a shank portion 3 of the tool body and helically feeding the tool body. In this state, as illustrated in FIG. 6, while the thread milling cutter 1 is rotated with respect to the rotation axis O of the tool body, it is revolved (revolution) with respect to a revolution axis O.sub.RE decentered from the rotation axis O in parallel with the rotation axis O, so that it is fed to the axial tip side to form a pilot hole and an internal thread 45 in the workpiece 40.

[0099] FIG. 7(a) illustrates a state in which, as illustrated in FIG. 6, the thread milling cutter 1 is helically fed, is rotated with respect to the rotation axis O, and is revolved around the revolution axis O.sub.RE, so that the trimming blade 12 of the thread cutting blade 4 grinds the root 47 of the internal thread 45 of the workpiece 40. FIG. 7(b) illustrates a state in which the thread milling cutter 1 grinds the crest 46.

[0100] As indicated by the dotted line in FIG. 7(a), the root 47 is grinded mainly, as the top edges 15a to 15d of the trimming blade 12, and the leading-side cutting edges 13a to 13d and the trailing-side cutting edges 14a to 14d in both sides of the axial direction of the top edges 15a to 15d are operated along a locus 50 indicated by a to e. The leading-side cutting edges 13a to 13d and the trailing-side cutting edges 14a to 14d include ridges of the first chamfered surfaces 25a to 25d and the second chamfered surfaces 26a to 26d (that is, the leading-side cutting edge 13 and the trailing-side cutting edge 14). While the trimming blade 12 is fed to the tip side (downward in FIG. 7(a)) of the axial direction of the tool body (in the direction of the rotation axis O) along the locus 50 indicated by the dotted lines a to e, it moves from the crest 46 side of the workpiece 40 to the root 47 side along the shape of the root 47 at once. Then, the trimming blade 12 moves from the root 47 side to the crest 46 side. Although the dotted lines a to e indicates a movement sequence, they also indicate the trimming blade 12 themselves. The lower side of FIG. 7(a) indicates the lower side of FIG. 6. The right side of FIG. 7(a) indicates the crest 46 side, and the left side indicates the root 47 side.

[0101] As the trimming blade 12 moves from the crest 46 side to the root 47 side while it moves toward the axial tip side, the top edge 15, the trailing-side cutting edge 14, and the leading-side cutting edge 13 grind the workpiece 40. In the vicinity of the bottom of the root 47, the ridges of the top edge 15 and the chamfered surfaces 26a neighboring thereto (leading-side cutting edges 13a to 13d and trailing-side cutting edges 14a to 14d) mainly grind the workpiece 40. As the trimming blade 12 moves from the root 47 to the crest 46 while it moves toward the axial tip side, the top edge 15 and the leading-side cutting edge 13 mainly grind the workpiece 40.

[0102] In this manner, a blade involved in the grinding of the workpiece 40 changes, and the grinding portion of each blade is also different depending on the position in the depth direction of the trimming blade 12 inside the root 47 (radial direction of the internal thread 45) and the position of the rotation axis O direction. In this case, a curve (envelope) connecting points close to the inner circumferential surface of the root 47 of the locus 50 (a to e) becomes a shape of the root 47 formed in the workpiece 40. Here, since the first and second chamfered surfaces 25 and 26 are formed in both sides of the axial direction of the top edge 15, it is possible to form the root 47 in a concave surface shape which is the same as the case where the entire surface of the trimming blade 12 is formed in a convex surface shape.

[0103] When the bottom edge 24 between the trimming blades 12 grinds the crest 46 of the internal thread 45, the bottom edge 24 and the trailing-side cutting edge 14 and the leading-side cutting edge 13 in both sides of the axial direction of the bottom edge 24 grind the vicinity of the crest 46 along the locus 51 indicated by the dotted lines a to h as illustrated in FIG. 7(b). Similarly, in this case, the trimming blade 12 moves to approach the surface of the crest 46 from the outer circumference side of the crest 46 along the shape of the crest 46 as indicated by the dotted lines a to h when it is fed to the axial tip side.

[0104] When the bottom edge 24 is placed in the position a distant from the crest 46 in FIG. 7(b), the trailing-side cutting edge 14 placed in the axial tip side of the bottom edge 24 cuts the lower surface side of the crest 46. As indicated by the dotted lines b to h, as the bottom edge 24 approaches the crest 46, the tool body is lowered from the workpiece 40. Therefore, the leading-side cutting edge 13 placed in the rear side of the axial direction of the bottom edge 24 grinds the upper surface side of the crest 46, and the bottom edge 24 mainly cuts the top portion of the crest 46.

[0105] Since the top portion of the crest 46 and the vicinity thereof are mainly grinded by the bottom edge 24, it is reasonable that the bottom edge 24 is formed in the concave curve shape in order to grind the top portion of the crest 46 in a convex curve shape. The concave curve shape includes a concave surface and a shape equivalent to a substantially concave surface although it is a polyhedron. When the bottom edge 24 and the trailing-side cutting edge 14 and the leading-side cutting edge 13 in both sides of the axial direction of the bottom edge 24 grind the surface of the crest 46, a curve of the locus 51 (a to h) connecting the lines closest to the workpiece 40 becomes a shape of the crest 46.

[0106] FIG. 9 illustrates a machining example of the thread milling cutter 100 having a thread cutting blade 4 including only three trimming blades 12 continuous in the axial direction of the tool body without the end cutting edge 30 and the preceding blade 5 of the example of FIG. 1. The thread milling cutter 1 provided with the end cutting edge 30 of FIG. 1 can simultaneously process the pilot hole and the internal thread 45 (crests 46 and roots 47) in the raw workpiece 40. However, the thread milling cutter 100 of FIG. 9 is used when the internal thread 45 is formed after the pilot hole is formed in advance using another drill or the like, that is, when there is a danger that the end cutting edge 30 is broken through a single helical feed process, such as when the workpiece 40 is formed of a high hardness material.

[0107] Similarly, in the thread milling cutter 100 of FIG. 9, two or more chamfered surfaces 25 and 26 are formed between the leading-side flank surface 17 of each trimming blade 12 and the top surface 16 and between the top surface 16 and the trailing-side flank surface 18.

REFERENCE SIGNS LIST

[0108] 1 thread milling cutter, [0109] 2 cutting blade portion, [0110] 3 shank portion, [0111] 4a, 4b, 4c, 4d thread cutting blade, [0112] 5a, 5b, 5c, 5d preceding blade, [0113] 6a, 6b, 6c, 6d leading-side cutting edge of preceding blade, [0114] 7a, 7b, 7c, 7d trailing-side cutting edge of preceding blade, [0115] 8a, 8b, 8c, 8d top edge of preceding blade, [0116] 9a, 9b, 9c, 9d top surface of preceding blade, [0117] 10a, 10b, 10c, 10d leading-side flank surface of preceding blade, [0118] 11a, 11b, 11c, 11d trailing-side flank surface of preceding blade, [0119] 12a, 12b, 12c, 12d trimming blade, [0120] 13a, 13b, 13c, 13d leading-side cutting edge of trimming blade, [0121] 14a, 14b, 14c, 14d trailing-side cutting edge of trimming blade, [0122] 15a, 15b, 15c, 15d top edge of trimming blade, [0123] 16a, 16b, 16c, 16d top surface of trimming blade, [0124] 17a, 17b, 17c, 17d leading-side flank surface of trimming blade, [0125] 18a, 18b, 18c, 18d trailing-side flank surface of trimming blade, [0126] 19a, 19b, 19c, 19d rake face of thread cutting blade, [0127] 20a, 20b, 20c, 20d flute portion, [0128] 21a, 21b, 21c, 21d chip pocket, [0129] 22a, 22b, 22c, 22d trench bottom face, [0130] 23a, 23b, 23c, 23d trench wall face, [0131] 24a, 24b, 24c, 24d bottom edge, [0132] 25a, 25b, 25c, 25d first chamfered surface, [0133] 26a, 26b, 26c, 26d second chamfered surface, [0134] 30a, 30b, 30c, 30d end cutting edge, [0135] 31a, 31b, 31c, 31d clearance face of end cutting edge, [0136] 32a, 32b, 32c, 32d rake face of end cutting edge, [0137] 33a, 33b, 33c, 33d gash, [0138] 40 workpiece, [0139] 45 internal thread, [0140] 46 crest, [0141] 47 root, [0142] 50 locus of trimming blade, [0143] 51 locus of bottom edge, [0144] 60 neck portion, [0145] 70 form grinding wheel, [0146] 75 rectangular grindstone, [0147] 75a grindstone surface, [0148] 76 rectangular grindstone, [0149] 76a grindstone surface, [0150] 100 thread milling cutter (without end cutting edge), [0151] O rotation axis (axis of rotation), [0152] O.sub.RE tool revolution axis during machining, [0153] P1, P2 width of first chamfered surface, [0154] Q1, Q2 width of second chamfered surface, [0155] R rotational direction (direction of rotation) of tool body, [0156] R.sub.RE revolution direction of tool body, [0157] S width of top surface, [0158] T straight line connecting vertices of trimming blades, [0159] u width of axial direction of top surface, [0160] v width of axial direction of flute portion, [0161] x1 intersection between leading-side cutting edge and first chamfered surface, [0162] x2 intersection between trailing-side cutting edge and first chamfered surface, [0163] y1 intersection between bottom edge and trailing-side cutting edge, [0164] y2 intersection between bottom edge and leading-side cutting edge, [0165] angle between straight line connecting vertices of trimming blades and rotation axis, [0166] 1 angle between first chamfered surface and top surface, [0167] 2 angle between second chamfered surface and top surface