JP2001105213A - Method and device for machining - Google Patents

Abstract

PROBLEM TO BE SOLVED: To provide a method and device for machining a hole with non- circular section to be machined into a section of regular polygon without impairing an advantage of rotational motion. SOLUTION: For a method to process a hole H into a regular N-gon shape with N apexes, a processing means T with a regular (N-1)-gon shape inscribed in the regular N-gon shape to be processed is used for having the processing means T rotated along an orbital circle R with a predetermined radius having its center as a center O of the hole at a predetermined rotational frequency and for rotating around a processing means center G at a predetermined rotational frequency to machine it. Instead of the processing means T with the regular (N-1)-gon shape, a jet can be used. A processing means T with a regular (N+1)-gon shape can be used.

Description

DETAILED DESCRIPTION OF THE INVENTION

[0001]

BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a method and an apparatus for machining a hole having a non-circular cross section in a cutting operation or a grinding operation in machining. More specifically, according to the present invention, a through-hole or a blind hole having a regular N-shaped cross section (a shape having N apex angles and equal lengths on each side) is formed on a base material (or The present invention relates to a machining method for forming) and an apparatus for carrying out the method.

[0002]

2. Description of the Related Art When processing (or forming) a through hole or a blind hole in a base material, rotating a bit provided in a processing machine is one of the general methods.
At that time, the cross-sectional shape of the hole processed in the base material is naturally circular.

[0003] Here, depending on the purpose of processing or the specifications of an article manufactured by the processing, it may be desirable that the cross-sectional shape of the processed hole is not circular.

[0004] However, at present, there is not provided a technique effective for forming a through hole or a blind hole having a non-circular cross section.

[0005]

DISCLOSURE OF THE INVENTION The present invention has been proposed in view of the above-mentioned situation, and is used for machining (cutting or grinding) a through hole or a blind hole having a non-circular cross-sectional shape.
It is an object of the present invention to provide a machining method and an apparatus capable of performing such operations.

[0006]

[Knowledge] As a result of research, the inventors have found the following technical matters. (A) Positive (N−) inscribed in a circle of radius (N−1) ² r
1) When the square revolves around the center of the circle at an angular velocity ω and revolves around the radius r at an angular velocity (1-N) ω, the range in which the regular (N-1) square passes Is the radius N
(N-2) A range surrounded by a regular N-corner curve circumscribing the circle of r. (B) A first point at the center, a second point around the center, and a third point around the second point are referred to as a sun S,
When the earth E is compared to the moon M, the moon M at a location (N-1) ² r away from the earth E rotates around the earth at an angular velocity ω, and the earth E is separated therefrom by a distance r. When rotating around the sun S at an angular velocity (1-N) ω, if the sun S is regarded as a fixed point, the trajectory drawn by the moon M will be a positive N circumscribing a circle of radius N (N-2) r. Approximate a square curve. (C) Positive (N +) inscribed in a circle of radius (N + 1) ² r
1) When a square is revolved around the center of the circle at an angular velocity ω and revolves around a circumference of a radius r at an angular velocity (N + 1) ω, the range over which the regular (N + 1) square passes is the radius N
It is a range surrounded by a regular N-sided polygonal curve circumscribing the (N + 2) r circle. In the above findings and the present specification, the positive and negative signs attached to the angular velocities are added to indicate that the rotational directions of the positive and negative angular velocities are opposite to each other. ing.

[0007]

The present invention has been made based on the above findings.

The machining method according to the present invention is directed to a machining method for machining a through-hole or a blind hole having a regular N-gonal cross section having N apex angles by cutting or grinding. 1) A machining bit having an angular contour is rotated around an outer circumference of a radius “r” concentrically with the center of a through hole or a blind hole, and is rotated at an angular velocity “ω”.
1) The square machining bit has a contour inscribed in a circle having a radius of (N-1) ² r, and the revolving angular velocity of the regular (N-1) square machining bit is "(1-N) ω ”, and the range in which the machining bit having the contour of the regular (N−1) square shape passes is a positive N circumscribing a circle of radius“ N (N−2) r ”.
It is characterized by being in the range of a square shape. The machining method of the present invention having such a configuration is obtained by applying the above knowledge (A) to machining by cutting or grinding, and uses a range in which a regular (N-1) square passes, that is, a machining bit. The area to be processed or ground is the radius N
(N-2) A range surrounded by a regular N-corner curve circumscribing the circle of r. As a result, a through hole or blind hole having the desired regular N-sided profile is machined.

In the machining method according to the present invention, the apex angle is N
In a machining method for machining a through hole or a blind hole having a cross section of a regular N-sided shape by cutting, a machining monitor provided on a machining rod coaxial with the center line of the through hole or the blind hole to be machined. Rotates around the processing rod, and injects a cutting fluid (e.g., an abrasive jet or the like) from a nozzle provided on the periphery of the processing monitor and rotating around the monitor, and the nozzle When the angular velocity of rotation around the monitor is “ω”, the angular velocity of rotation of the monitor around the processing rod is “(1
−N) ω ”, and when the monitor has a radial distance“ r ”apart from the center line of the through hole or the blind hole, the reaching distance of the cutting fluid is“ (N−1) ² r "
And the cutting range of the cutting fluid is a radius "N (N
-2) A range of a regular N-gonal shape circumscribing the circle "r". The machining method of the present invention having such a configuration is an application of the above knowledge (B) to machining by cutting or grinding, and the trajectory of the moon M, that is, the trajectory of the reaching point of the cutting fluid. Is the radius N (N-
2) Approximate a regular N-corner curve circumscribing the circle of r. Therefore, the cutting range of the cutting fluid is the radius “N (N−N−
2) The range of the regular N-gon shape circumscribing the circle of "r" is obtained, and the cutting or grinding of a desired regular N-gonal through hole or blind hole becomes possible. Here, it is preferable that the nozzles are provided in pairs, and the cutting fluid forms a so-called “cross jet”. This is because the crossing jet can control the reaching distance of the cutting fluid with extremely high accuracy. Note that N can be an integer other than 4. Of course, N = 4.

Further, the machining method of the present invention is a machining method for machining a through-hole or a blind hole having a cross-sectional shape of a regular N-sided polygon having N apex angles by cutting. While rotating around the circumference of radius “r” concentrically with the center of the through-hole or blind hole, and rotating at an angular velocity “ω”. It has a contour inscribed in the circle of “(N + 1) ² r”, the revolving angular velocity of the regular (N + 1) square machining bit is “(N + 1) ω”, and the regular (N + 1) square contour Is a range of a regular N-gonal shape circumscribing a circle having a radius of “N (N + 2) r”. The machining method of the present invention having such a configuration is obtained by applying the above knowledge (C) to machining by cutting or grinding, and performs machining or machining with a regular (N + 1) square passing range, that is, a machining bit. The range to be ground (the range through which the machining bit passes) is a range surrounded by a regular N-shaped curve circumscribing a circle having a radius of N (N + 2) r. As a result, a through hole or blind hole having the desired regular N-sided profile is machined.

In addition, the machining method of the present invention is a machining method for machining a through-hole or a blind hole having a regular N-gonal cross section having N apex angles. Are arranged at equal intervals in the circumferential direction, and are radially separated from a processing rod coaxial with a center line of a through hole or a blind hole in which a rod of the blade processing bit is to be processed. The blade-shaped machining bit is revolved around the boring rod while rotating, and when the angular speed at which the blade-shaped machining bit rotates around the machining rod is ω, the machining bit is The angular velocity revolving around the processing rod is “(1-N) ω”, and the radial distance at which the rotation center of the blade-shaped processing bit is separated from the center line of the through hole or the blind hole is In the case of “r”, the distance from the rotation center of the machining bit to the tip (the tip on the side separated from the machining rod) is “(N−1) ² r”, and the range through which the machining bit passes is It is characterized by a range of a regular N-gonal shape circumscribing a circle having a radius of “N (N−2) r”. According to the present invention having such a configuration, a through-hole or blind hole having a regular N-gon shape is formed based on the above knowledge (B). That is, the center line of the through hole or blind hole to be processed corresponds to the sun S in the knowledge (B), the rotation center of the blade-shaped processing bit corresponds to the earth E, and the tip of the blade-shaped processing bit corresponds to the moon M. Is equivalent to Then, as described in the knowledge (B), as a result of the locus of the tip of the blade-shaped machining bit having a regular N-sided contour, the range where the machining bit passes is a circle having a radius of “N (N−2) r”. Is a range of a regular N-gonal shape circumscribing.

In the present invention, the cross-sectional shape of a hole (through hole or blind hole) to be machined is an envelope created by eccentric rotation, and each apex angle is rounded and each side is strict. In a sense, it cannot be called a straight line. But,
Practically, the cross-sectional shape of the processing hole processed by the present invention is
There is no problem in considering it as a regular N-gon.

In the above-described machining method of the present invention, a through hole or a blind hole having a regular N-gonal cross-sectional shape in which the side connecting the vertices is (substantially) straight is formed. Here, there is a demand that, for example, the surface of a work (workpiece) is machined to cut or emboss various patterns. In order to respond to such a demand, the inventor has made various studies, and as a result, the monitor has a ratio of a radial distance (r) separated from the center line of the through hole or the blind hole to a reach distance of the cutting fluid, Alternatively, the ratio of the radial distance (r) at which the center of rotation of the blade-shaped machining bit is separated from the center line of the through hole or blind hole to the distance from the center of rotation of the machining bit to the tip is represented by “(N− 1) By making the cutting fluid smaller than ² ", the cross-sectional shape in the range processed by the cutting fluid or the cross-sectional shape in the range passed by the processing bit has N vertexes and a curve (through hole or (A curved line that curves toward the center line side of the blind hole). Based on such knowledge, if the machining method of the present invention is configured as described below, it has N vertices and is curved (curved line that curves toward the center line side of the through hole or blind hole). And a pattern consisting of a single closed area consisting of

That is, in the machining method of the present invention, a through-hole to be machined in a machining method for machining a through-hole or a blind hole having a regular N-sided N-shaped cross-sectional shape by cutting. Alternatively, a processing monitor provided on a processing rod coaxial with the center line of the blind hole rotates around the processing rod, and a cutting monitor provided on a peripheral portion of the processing monitor and rotating around the monitor is used for cutting. When a fluid (e.g., an abrasive jet or the like) is ejected and the angular velocity at which the nozzle rotates around the monitor is "ω", the angular velocity at which the monitor rotates around the processing rod is "( 1-N) ω, and the monitor sets the ratio of the reach of the cutting fluid to the radial distance apart from the center line of the through hole or blind hole to “(N−1) ²
And the cross-sectional shape in the range processed by the cutting fluid is a simple shape having N vertices and a curved line (curved line curved toward the center line side of the through hole or the blind hole). What is necessary is just to comprise from one closed area.

Alternatively, in a machining method for forming a through hole or a blind hole having a cross section of a regular N-sided polygon having N apex angles, N blades are arranged at equal intervals in a circumferential direction on a rod. Using a blade-shaped machining bit configured as described above, the rod of the blade-shaped machining bit is provided radially separated from a machining rod coaxial with the center line of the through hole or blind hole to be machined, and the blade-shaped machining bit rotates. While rotating around the boring rod, and when the angular velocity at which the blade-shaped machining bit rotates around the machining rod is “ω”, the angular velocity at which the machining bit revolves around the machining rod Becomes “(1-N) ω”,
The ratio of the distance from the rotation center of the machining bit to the tip to the radial distance in which the rotation center of the blade-shaped machining bit is separated from the center line of the through hole or the blind hole is smaller than “(N−1) ² ”. The cross-sectional shape of the area through which the machining bit passes is defined by a single closed area having N vertices and a curved line (curved line curved toward the center line side of the through hole or blind hole). It should just be composed from.

Further, as a result of research, the inventors have found that if the above ratio is further reduced, a cross-section composed of N closed regions consisting of curves and symmetric with respect to the center of the through hole or blind hole is obtained. It has been found that a through hole or a blind hole having a shape can be formed. If such processing is possible,
For example, a more complicated pattern can be processed on the work surface. Based on such knowledge, in the present invention,
A processing monitor provided on a processing rod coaxial with a center line of a through hole or a blind hole to be processed rotates around the processing rod, and is provided at a peripheral portion of the processing monitor and rotates around the monitor. A cutting fluid (for example, an abrasive jet or the like) is ejected from a nozzle to be rotated, and when the angular velocity at which the nozzle rotates around the monitor is “ω”, the monitor rotates around the processing rod. The angular velocity of the cutting fluid becomes “(1-N) ω”, and the monitor sets the ratio of the reaching distance of the cutting fluid to the radial distance apart from the center line of the through hole or the blind hole to “(N−1) ² ”. In a further (smaller) case, the cross-sectional shape of the area processed by the cutting fluid is constituted by a plurality of closed regions consisting of curves and is symmetric with respect to the center of the through hole or blind hole. Fake Rukoto is possible. Further, in the present invention, a blade-shaped machining bit configured by arranging N blades at equal intervals in a circumferential direction on a rod is used, and a center line of a through hole or a blind hole in which the rod of the blade-shaped machining bit is to be machined The blade-shaped machining bit is provided around the boring rod while rotating and rotating around the boring rod, and the angular velocity at which the blade-shaped machining bit rotates around the machining rod is `` ω ”, the angular velocity at which the processing bit revolves around the processing rod is“ (1-N) ω ”,
The ratio of the distance from the rotation center of the machining bit to the tip to the radial distance in which the rotation center of the blade-shaped machining bit is separated from the center line of the through hole or the blind hole is represented by “(N−1) ² ”. Further, the cross-sectional shape in the range processed by the cutting fluid is reduced to a shape which is constituted by a plurality of closed regions formed of curves and is symmetric with respect to the center of the through hole or the blind hole. It is possible to make it. Here, the above-mentioned “shape composed of a plurality of closed regions consisting of curves and being symmetrical with respect to the center of the through-hole or blind hole” means “a plurality of closed regions” In the case of, this means a double leaf shape as shown in FIGS. When the number of “plurality of closed areas” is (N + 1), it means a double leaf shape as shown in FIG.

In order to carry out the above-mentioned machining method (in the present specification, a process for removing a material such as a cutting process or a grinding process is collectively referred to as “machining”). The machining device of the present invention (in the present specification, devices used for processing for removing a material such as cutting, grinding, etc. are collectively referred to as “machining device”). It is configured as follows.

The machining apparatus according to the present invention is a machining apparatus for machining a through-hole or a blind hole having a regular N-corner cross section having N apex angles. A bit having a contour inscribed in a circle of radius (N-1) ² r, revolving around a circle of radius "r" concentric with the center of the through hole or blind hole. It is configured to rotate at an angular velocity “ω” and its orbital angular velocity is “(1-N) ω”, and the range through which the machining bit passes is a circle of radius “N (N−2) r”. It is characterized in that it is configured to be in the range of a circumscribed regular N-sided shape. The machining apparatus of the present invention having such a configuration applies the above knowledge (A) to the processing of a base material.

Further, according to the present invention, there is provided a machining apparatus for machining a through-hole or a blind hole having a cross section of a regular N-sided polygon having N apex angles. A processing rod provided coaxially with the center line of the processing monitor, a processing monitor provided on the processing rod and configured to rotate around the processing rod, and a processing monitor provided on a peripheral portion of the processing monitor and surrounding the monitor. A nozzle that injects a cutting fluid while rotating, and when the angular speed at which the nozzle rotates around the monitor is ω, the angular speed at which the monitor rotates around the processing rod is `` ω ''. (1-N) ω "
When the radial distance of the monitor from the center line of the through hole or the blind hole is “r”, the reaching distance of the cutting fluid is “(N−1) ² r”, and It is characterized in that the range processed by the fluid is a range of a regular N-gonal shape circumscribing a circle having a radius of “N (N−2) r”. The machining apparatus having such a configuration is based on the above knowledge (B). Here, it is preferable that the nozzles are provided in pairs, and the cutting fluid forms a so-called “cross jet”. This is because the crossing jet can control the reaching distance of the cutting fluid with extremely high accuracy.

Further, the machining device of the present invention is a machining device for machining a through-hole or a blind hole having a cross section of a regular N-corner having N apex angles, wherein the machining bit has a regular (N + 1) -corner shape. And the machining bit has a radius “(N + 1)
Has a contour inscribed in a circle of ^{2 r} ", and rotation at an angular velocity" ω "while revolving the circumference above the radius" r "in the center and concentric through-hole or blind hole, the revolution angular velocity is" (N + 1)
ω ”, and the range through which the machining bit passes is a range of a regular N-gonal shape circumscribing a circle having a radius of“ ｛(N + 1) ² −1｝ r ”. It is characterized by things. This machining device applies the above knowledge (C) to the machining device.

The processing apparatus of the present invention is a processing apparatus for processing a through-hole or a blind hole having a cross-sectional shape of a regular N-sided polygon having N apex angles, the center line of the through-hole or the blind hole to be processed. And a processing rod coaxial with the processing rod, and a blade-shaped processing bit formed by arranging N blades at equal intervals in the circumferential direction on the rod, wherein the rod of the blade-shaped processing bit is the rod for processing. It is provided so as to be radially separated from and is configured to revolve while revolving around its periphery, and when the angular velocity at which the blade-shaped machining bit rotates around the machining rod is `` ω '', The angular velocity at which the processing bit revolves around the processing rod is “(1-N) ω”, and the rotation distance of the center of rotation of the blade-shaped processing bit from the center line of the through hole or the blind hole is the radial distance. "R ”, The distance from the rotation center to the tip of the machining bit is“ (N−1) ² r ”, and the range through which the machining bit passes is the radius“ N (N−
2) It is characterized in that it is configured to be in the range of a regular N-gon shape circumscribing the circle "r". According to the present invention having such a configuration, a through-hole or blind hole having a regular N-gon shape is formed based on the above knowledge (B).

Here, for example, when it is desired to increase the circumferential length of the cross section (the length of the contour of the cross sectional shape) as compared with the cross sectional area like a friction pile, the number of apex angles is N in the processing apparatus of the present invention. In a machining apparatus for processing a through-hole or a blind hole having a cross section of a regular N-sided shape, a processing rod coaxial with a center line of the through-hole or the blind hole to be processed, and a processing rod provided on the processing rod. A processing monitor configured to rotate around the processing monitor; and a nozzle provided at a peripheral portion of the processing monitor and injecting a cutting fluid while rotating around the monitor. When the angular velocity of rotation around the monitor is “ω”, the angular velocity of the monitor rotating around the processing rod is “(1-N) ω”, and the monitor uses the through-hole or blind hole. Radial distance away from the centerline of the The ratio of the reaching distance of the cutting fluid to the cutting fluid is smaller than “(N−1) ² ”, so that the cross-sectional shape of the area processed by the cutting fluid has N vertices. In addition, it may be configured so as to be constituted by a single closed area formed by a curve.

Alternatively, in the processing apparatus of the present invention, in a processing apparatus for processing a through-hole or a blind hole having a cross section of a regular N-sided shape having N apex angles of N, the center of the through-hole or the blind hole to be processed. A rod for processing that is coaxial with the wire, and a blade-shaped processing bit configured by arranging N blades at equal intervals in the circumferential direction on the rod, wherein the rod of the blade-shaped processing bit is It is provided so as to be radially separated from the rod and is configured to revolve while rotating around the rod, and when the angular velocity at which the blade-shaped processing bit rotates around the processing rod is `` ω '' The angular velocity at which the machining bit revolves around the machining rod is “(1-N) ω”, and the center of rotation of the blade-like machining bit is separated from the center line of the through hole or blind hole in the radial direction. The ratio of the distance from the rotation center to the tip of the processing bit relative to the separation is configured to be smaller than “(N−1) ² ”, so that the cross-sectional shape of the range through which the processing bit passes is N pieces Having the vertex of
What is necessary is just to comprise it from the single closed area which consists of a curve.

According to the present invention, furthermore, there is provided a through hole or blind hole formed of N closed regions each having a curved shape and having a cross section symmetrical with respect to the center of the through hole or blind hole. It is possible. That is, in the processing apparatus of the present invention, a processing rod coaxial with a center line of a through hole or a blind hole to be processed, and a processing monitor provided on the processing rod and configured to rotate around the processing rod. A nozzle provided at a peripheral portion of the processing monitor and injecting a cutting fluid while rotating around the monitor, wherein an angular velocity at which the nozzle rotates around the monitor is “ω”. In addition, the angular velocity at which the monitor rotates around the processing rod is “(1-N) ω”, and the monitor uses the cutting fluid for the radial distance away from the center line of the through hole or the blind hole. If the ratio of the reach distance is "(N-1)
² ), so that the cross-sectional shape of the area processed by the cutting fluid is constituted by a plurality of closed regions formed of curved lines, and is formed at the center of the through hole or the blind hole. It is possible to constitute so that it may become a shape symmetric with respect to it. Alternatively, in the processing apparatus of the present invention, a processing rod coaxial with a center line of a through hole or a blind hole to be processed and a blade-shaped processing in which N blades are arranged at equal intervals in a circumferential direction on the rod. And a bit,
The blade-shaped machining bit is provided so as to be radially separated from the machining rod and is configured to revolve around the periphery thereof while rotating, and the blade-shaped machining bit is arranged around the machining rod. When the rotational angular velocity is “ω”, the angular velocity at which the processing bit revolves around the processing rod is “(1-N) ω”,
The ratio of the distance from the rotation center of the machining bit to the tip to the radial distance in which the rotation center of the blade-shaped machining bit is away from the center line of the through hole or the blind hole is smaller than “(N−1) ² ”. Thus, the cross-sectional shape of the area where the ground excavation fluid excavates is constituted by a plurality of closed regions formed of curves and is symmetric with respect to the center of the through hole or the blind hole. It can be configured to have a shape. Here, the above-mentioned “shape composed of a plurality of closed regions consisting of curves and being symmetrical with respect to the center of the through-hole or blind hole” means “a plurality of closed regions” In the case of, this means a double leaf shape as shown in FIGS. When the number of “plurality of closed areas” is (N + 1), it means a double leaf shape as shown in FIG.

[0025]

Embodiments of the present invention will be described below with reference to the drawings.

FIGS. 1 to 16 show an embodiment based on the above knowledge (A). In FIG. 1, the vertices are denoted by A, B,
An embodiment in which a square hole (through hole or blind hole) H shown by C and D is machined by rotating an equilateral triangular cutter (machining means) T inscribed in the square. A mode in which the hole H is machined into a square shape by the regular triangular cutter T will be described with reference to FIGS.

In the figure, an equilateral triangular cutter T is 1
The center of gravity (centroid) is inscribed in the square hole H whose side is 2a.
G orbits a trajectory R having a radius r from the center O of the hole H in a counterclockwise direction, and its rotation angle is indicated by θ. Then, the cutter T rotates clockwise at a speed of 1/3 of the revolution speed, and its rotation angle is indicated by φ. The distance L from the center of gravity G of the triangle T to the vertex P is L = 2 · 3 ^−0.5
because it is a, the center of gravity (O, G) between the distance r of the square H and triangle T ^{is, r = (2 · 3 -0} .5 -3) was a / 3,
This r is the radius of the trajectory R.

FIG. 2 shows a state in which a line segment L connecting the vertex P of the triangle T and the center of gravity G overlaps the X axis, and this state is defined as a rotation angle θ = 0 °. Hereinafter, FIGS. 3 and 4 show the rotation at θ = 45 ° and 90 °, respectively, and the triangular cutter T rotates in the opposite direction to φ = 15 ° and 30 °. Has formed. The vertical corner at θ = 135 ° in FIG. 5 is rounded, and the next side is formed at θ = 180 ° and 270 ° in FIGS. 6 and 7. Similarly, each side is formed at another vertex (not shown) of the triangle T, and the hole H is formed in a square shape.

FIG. 8 shows the trajectory of the vertex P (of the triangular cutter T) when the cutter (machining bit) T as described with reference to FIGS.
Further, it is specified that the locus of the vertex P is a cross-sectional shape of the hole H (through hole or blind hole), that is, a square. In FIG. 8, the locus of the center of gravity G of the cutter T having a regular triangular shape is indicated by reference symbol GT. Here, the cross-sectional shape of H shown in FIG. 8 is an envelope created by eccentric rotation, each apex angle is rounded, and each side is called a straight line in a strict sense. I can't get it. However, FIG.
The cross-sectional shape of the hole H indicated by the symbol is practically square (regular square).
There is no problem to think.

FIG. 9 shows an embodiment in which a regular pentagonal hole H5 is created by a square cutter T4, and FIG. 10 shows an embodiment in which a regular hexagonal hole H6 is created by a regular pentagonal cutter T5. . In this case, the radius r of the orbit circle is the distance between the centers of gravity of the two polygons (OG), and r = a {sec (π / N) −1}.
/ 2. Here, a is the distance between the center O of the N-gon and one side (see FIG. 9).

FIGS. 11 to 16 show equilateral triangular shapes (FIG. 1).
Holes H3 to H8 from 1) to a regular octagonal shape (FIG. 16) and orbits R3 to R8 of the cutter are shown, respectively.

Next, an embodiment based on the above knowledge (B) will be described with reference to FIGS. In FIG. 17, jets J1 and J2 constituting the cross jet are represented by a single arrow J, and the nozzles N1 and N2 are also represented by points N to simplify the illustration.

FIG. 17 is a cross-sectional view schematically showing one process of forming a hole 10 (through hole or blind hole) having a square cross section. In FIG. 17, a radius dimension of a circle formed by a locus (revolution locus) TL of the nozzle N is shown. Is “r”, the coordinates (x, y) of the initial position of the nozzle N (the position shown in FIG. 17) are (r, 0)
And generalized as the following equations (2) and (3). x = rcosωt (2) y = rsinωt (3) In the equations (2) and (3), the symbol ω is an angular velocity (revolution angular velocity) at which the nozzle N rotates around a monitor (not shown).
It is. At the initial position shown in FIG. 17, the jet J from the nozzle N is jetted leftward on the X-axis, and its tip is indicated by the symbol JE.

In FIG. 17, the revolution trajectory of the nozzle N is
This coincides with the locus of the center of gravity of the equilateral triangle when the equilateral triangle having the length of one side a is always inscribed in the square 10 (the square having the length of a side of a).

FIGS. 18 to 21 illustrate the progress of cutting by the jet J, and the symbol θ indicates the angle of revolution of the nozzle N. FIG. 18 shows that the nozzle N moves counterclockwise with respect to the position (initial position) shown in FIG.
ad) shows the state of revolution. Since the nozzle N rotates at an angular velocity ω of １ ／ of the revolution speed (−3ω = (1−N) ω: N = 4), the jet J jetted therefrom
Are not parallel to the X axis and have an angle (rotation angle by rotation) as shown in FIG. Then, due to the revolution and rotation of the nozzle N, the jet J also moves, and its tip JE also moves. As a result, the area shown by hatching in FIG. 18 is cut. Here, the cross-sectional shape of the processed through-hole or blind hole has a cross-sectional shape that cannot be formed by a conventional machining method.

At this time, in the cross-sectional shape (hatched area) of the processed hole (through hole or blind hole), a line connecting point F and point JE is parallel to the Y axis. It is a straight line. In other words, the tip of the jet J moves upward in the figure in parallel with the Y axis. The symbol TL indicates the orbit. At this stage, points F and J
The line connecting -E is a straight line parallel to the Y axis.
For simplicity of illustration, in FIGS.
No hatching is applied to the processed cross-sectional shape.

FIG. 19 shows a state in which the nozzle N has revolved by π (rad) in the leftward rotation direction with respect to the initial position. At this stage, the tip JE of the jet J
Moves parallel to the Y axis and then to the right in the figure parallel to the X axis. At the stage shown in FIG. 20, that is, at the stage where the nozzle N has revolved by 5π / 4 with respect to the initial position, the tip JE of the jet J has further moved to the right in the figure in parallel with the X axis. . And the nozzle N is 2π
(Rad) orbital movement (in other words, orbit T
L), the tip JE of the jet J is shown in FIG.
A position as shown by 1 is reached.

Next, an embodiment based on the above knowledge (C) will be described with reference to FIGS. Here, in the embodiment of FIGS. 22 to 25, the cross-sectional shape (regular N-sided shape) of the through hole or the blind hole is a quadrangle. That is,
N = 4.

In FIGS. 22 to 25, a cutter P (a machining bit having a regular (N + 1) square shape) having a regular pentagonal shape (a regular (N + 1) square shape) has a center of gravity (center of gravity) G penetrating therethrough. A circular orbit R having a radius r is moved (revolved) clockwise from the center O of the hole or blind hole H, and the rotation angle (revolved angle) is indicated by a symbol “θ”. Where cutter P
Is 1/25 (1) of the radius of a circle (not shown in FIGS. 22 to 25) circumscribing the cutter P.
/ (N + 1) ² ). In other words, the regular pentagonal cutter P has a radius of 25r (that is, “(N + 1)
Circle ^{2 r} ") (having a contour that is inscribed in FIG. 22-FIG. 25, not shown). On the other hand, the cutter P revolves while rotating, and its rotation speed is 1/5 of the above-mentioned revolution speed.
(That is, “1 / (N + 1)”), and the rotation angle (rotation angle) is indicated by a symbol “ψ”.

In considering the sweep range of the machining bit of the pentagonal cutter P shown in FIGS. 22 to 25, only the locus of the vertex PE-1 of the pentagonal cutter P will be considered below. FIG.
In FIG. 25, the symbol “IS” indicates the cross-sectional shape assuming that a completely square through-hole or blind hole can be machined, in other words, indicates the ideal cross-sectional shape. ing.

FIG. 22 shows a state in which the cutter P has revolved 270 ° and rotated 54 ° with respect to the initial state. Thereby, one vertex PE-1 of the cutter P is obtained.
Draws a trajectory indicated by reference numeral “TR-21” from the origin PO.

In the state shown in FIG. 23, the cutter P revolves 630 ° and rotates 126 °. As a result, the vertex PE-1 of the cutter P draws a locus indicated by the symbol “TR-22”.

In the state shown in FIG. 24, the cutter P revolves 1260 ° and rotates 252 °. As a result, the vertex PE-1 of the cutter P draws a locus indicated by the symbol “TR-23”.

In the state shown in FIG. 25, the cutter P rotates around 1800 ° and rotates 360 °. That is, since the cutter P makes one rotation by rotation, its vertex PE
A value of -1 indicates a locus of a closed shape as indicated by reference numeral "TR-24". This locus TR-24 and the ideal sectional shape I
Comparing with S, the locus TR-24 (that is, the cross-sectional shape of the region processed by the cutter P) has four corners in an arc shape. However, a substantially quadrangular trajectory is drawn, and in practice, it may be considered that a through hole or a blind hole having a square cross section is formed.

In FIGS. 1 to 16 and FIGS. 22 to 25,
The cutter or the processing bit T or P has a regular triangular or regular pentagonal cross section, respectively. However, the words “processed bits having a regular (N−1) square shape” or “processed bits having a regular (N + 1) square shape” in the claims section of the present specification are respectively:
This is a word to the effect that processing bits of other shapes are also included.

As described above, the ratio of the radial distance r at which the monitor is separated from the center line of the through hole or the blind hole to the reaching distance L of the fluid for processing the work, or
The ratio of the radial distance between the center of rotation of the blade-shaped machining bit and the center line of the through hole or the blind hole and the distance from the center of rotation of the machining bit to the tip is (N
-1) If it is smaller than ^2, the sectional shape of the sweep range of the machining bits T and P is a shape having N vertices and a side connecting the vertices is formed by a curved line. I can do it. FIG. 26 to FIG. 31 show that the ratio is “N−
In the case of "1", the sectional shape of the through hole or the blind hole processed according to the embodiment of FIGS. 17 to 21 is shown. Here, FIG. 26 shows N = 3, FIG. 27 shows N = 4, FIG.
29 shows the case where N = 5, FIG. 29 shows the case where N = 6, FIG. 30 shows the case where N = 7, and FIG. 31 shows the case where N = 8.

FIG. 42 shows that, when N = 4 and the ratio ("the radial distance r at which the monitor is separated from the center line of the through hole or the blind hole, the reaching distance L of the fluid for machining the work" Or the ratio of the radial distance at which the center of rotation of the blade-shaped machining bit is separated from the center line of the through hole or blind hole to the distance from the center of rotation of the machining bit to the tip thereof)) FIG. 22 shows a cross-sectional shape of a through hole or a blind hole processed according to the embodiment of FIGS. 17 to 21 when “N” is set.

As described above, the ratio of the radial distance r at which the monitor is separated from the center line of the through hole or the blind hole to the reaching distance L of the work processing fluid, or
The ratio of the radial distance between the center of rotation of the blade-shaped machining bit and the center line of the through hole or the blind hole and the distance from the center of rotation of the machining bit to the tip is (N
If it is smaller than -1), the sectional shape of the sweep range of the machining bit T, P is constituted by N closed regions consisting of curves and is symmetric with respect to the center of the through hole or blind hole. It is possible to make it into such a shape. FIG.
2- FIG. 37 shows that when the ratio is set to “1”,
Fig. 22 shows a cross-sectional shape of a through hole or a blind hole processed according to the embodiment of Figs. Here, FIG.
3, FIG. 33 shows N = 4, FIG. 34 shows N = 5, and FIG.
6, FIG. 36 shows the case where N = 7, and FIG. 37 shows the case where N = 8.

FIG. 41 shows that, when N = 4 and the ratio (“the distance r in the radial direction at which the monitor is separated from the center line of the through hole or the blind hole, the distance L of the fluid for processing the work” Or the ratio of the radial distance at which the center of rotation of the blade-shaped machining bit is separated from the center line of the through hole or blind hole to the distance from the center of rotation of the machining bit to the tip thereof)) In the case of "N-2", the cross-sectional shape of the through hole or the blind hole processed according to the embodiment of FIGS. 17 to 21 is shown.

26 to 31 and FIGS. 32 to 3
Other configurations and the like in the seventh embodiment and the embodiments in FIGS. 41 and 42 are substantially the same as the embodiments in FIGS. 17 to 21.

Although illustration is omitted, when the nozzle N revolves around the initial position by 6π, that is, the revolving locus TL
After three rotations upward, the tip JE of the jet J returns to the initial position F (that is, performs one rotation), and a square cross section, that is, a square cross section is cut. 17 to 21, the processed square cross section 1
The corner of 0 is slightly rounded, but the difference between the right-angled corner and the rounded corner is negligibly small in actual construction.

Next, referring to FIG. 38 to FIG. 40, a regular N-gon (for example, square: regular 4)
An embodiment for processing a through-hole or a blind hole having a (square) cross-sectional shape will be described.

FIGS. 38 and 39 show three blades R1, R2 and R3 connected at the center (particularly as shown in FIG. 38).
The cutter or the processing bit T-1 having
Rotate and revolve as described in (1), and similarly to the cutter (regular triangular cutter: symbol “T” in FIGS. 1 to 8) used in the embodiment of FIGS. An embodiment for processing a hole having a) shape is described.

In FIG. 38, the blade-shaped machining bit indicated by the symbol T-1 has three blades R1, R2, R3 arranged symmetrically about the rotation center VO. Each of R1, R2, and R3 is provided with a plurality of processing chips BBC. Here, the rotation center VO of the blade-shaped machining bit T-1 is the center of gravity of a regular triangle formed by connecting the vertex R1-P of the blade R1, the vertex R2-P of the blade R2, and the vertex R3-P of the blade R3. Equal to the position.

The rotation center VO is eccentric to the center O of the hole H processed by the blade-shaped processing bit T-1 by a distance "r". The center O of the hole H coincides with the center axis of the processing rod 60 of the processing machine (only a part thereof is shown) denoted by reference numeral 100 in FIG. In other words, the blade-shaped machining bit T-1 is
The rotation center VO revolves while revolving on a circumference separated by a distance r from the central axis O of the processing rod 60 of the processing machine indicated by reference numeral 100 in FIG.

In the embodiment shown in FIGS. 38 and 39, when the angular speed at which the blade-shaped machining bit T-1 rotates is "ω", the periphery of the machining rod 60 (or the center O of the hole H) is formed. The angular velocity at which the blade-shaped machining bit T-1 revolves is “(1-N) ω”. Also, as mentioned above,
The radial distance at which the rotation center VO of the blade-shaped machining bit T-1 is separated from the center O of the hole H (or the center axis of the machining rod 60) is "r", but the blade-shaped machining bit T- 1 from the rotation center VO of each blade R1, R
2. The distances to the ends R1-P, R2-P, R3-P of R3 are set to be "(N-1) ² r". As a result, the sweep range of the blade-shaped machining bit T-1, that is, the cross-sectional shape of the hole H machined by the machining bit T-1, is a positive 4 circumscribing a circle having a radius "N (N-2) r". It becomes a square shape.

Other configurations and operational effects of the embodiment of FIGS. 38 and 39 are the same as those of the embodiment of FIGS.

Further, similarly to FIGS. 38 and 39, FIG.
A cutter or a processing bit P-1 having a cross-sectional shape consisting of five rods connected at the center as shown by
-If it rotates and revolves as described in FIG. 25, a cutter (a regular triangular cutter:
Similarly to the symbol “P” in FIGS. 22 to 25, a square (square) hole can be machined.

The illustrated embodiment is an exemplification, and does not limit the technical scope of the present invention. For example, in the illustrated embodiment, a through-hole or a pentagonal (N = 4 or N = 5) cross section is mainly formed with respect to a base material (a base material made of a metal material or another material). Although it is described about processing a blind hole, the present invention is widely applicable to a case of processing a hole having a desired regular N-sided cross-sectional shape. It is noted that the present invention can be variously modified and changed.

[0060]

According to the present invention constructed as described above, it is possible to meet a conventionally impossible demand for forming a regular N-sided through hole or blind hole, and furthermore, It is easy to implement or construct. And the present invention
It can be applied to processing of various objects,
It is applicable to the processing of holes having various cross-sectional shapes.

[Brief description of the drawings]

FIG. 1 is a plan view showing an embodiment of the present invention.

FIG. 2 is a view for explaining processing of a hole in FIG. 1; (Θ = 0 °)

FIG. 3 is a diagram illustrating a state of rotation from FIG. 2 (θ = 45 °);

FIG. 4 is a diagram illustrating a state of rotation from FIG. 3 (θ = 90 °);

FIG. 5 is a view for explaining a state rotated from FIG. 4 (θ = 135 °);

FIG. 6 is a diagram illustrating a state of rotation from FIG. 5 (θ = 180 °);

FIG. 7 is a view for explaining a state rotated from FIG. 6 (θ = 270 °);

FIG. 8 is a diagram showing the trajectory of a machining bit in FIGS.

FIG. 9 is a plan view showing another embodiment (pentagonal hole).

FIG. 10 is a plan view showing still another embodiment (hexagonal hole).

FIG. 11 is a plan view showing an example of a triangular hole according to the present invention.

FIG. 12 is a plan view showing an example of a square hole according to the present invention.

FIG. 13 is a plan view showing an example of a pentagonal hole according to the present invention.

FIG. 14 is a plan view showing an example of a hexagonal hole according to the present invention.

FIG. 15 is a plan view showing an example of a heptagonal hole according to the present invention.

FIG. 16 is a plan view showing an example of an octagonal hole according to the present invention.

FIG. 17 is a sectional view schematically showing one process of processing according to another embodiment of the present invention.

FIG. 18 is a sectional view schematically showing one process of processing the base material according to the embodiment of FIG. 17;

FIG. 19 is a sectional view schematically showing one process of processing a base material.

FIG. 20 is a sectional view schematically showing one process of processing a base material.

FIG. 21 is a sectional view schematically showing one process of processing a base material.

FIG. 22 is a cross-sectional view schematically showing one process of a base material processing according to still another embodiment of the present invention.

FIG. 23 is a sectional view schematically showing one process of processing a base material.

FIG. 24 is a cross-sectional view schematically showing one process of processing a base material.

FIG. 25 is a sectional view schematically showing one process of processing a base material.

FIG. 26 is a plan view showing an example of a triangular hole according to another embodiment of the present invention.

FIG. 27 is a plan view showing an example of a square hole according to another embodiment of the present invention.

FIG. 28 is a plan view showing an example of a pentagonal hole according to another embodiment of the present invention.

FIG. 29 is a plan view showing an example of a hexagonal hole according to another embodiment of the present invention.

FIG. 30 is a plan view showing an example of a heptagonal hole according to another embodiment of the present invention.

FIG. 31 is a plan view showing an example of an octagonal hole according to another embodiment of the present invention.

FIG. 32 is a plan view showing an example of a triangular hole according to still another embodiment of the present invention.

FIG. 33 is a plan view showing an example of a square hole according to still another embodiment of the present invention.

FIG. 34 is a plan view showing an example of a pentagonal hole according to still another embodiment of the present invention.

FIG. 35 is a plan view showing an example of a hexagonal hole according to still another embodiment of the present invention.

FIG. 36 is a plan view showing an example of a heptagonal hole according to still another embodiment of the present invention.

FIG. 37 is a plan view showing an example of an octagonal hole according to still another embodiment of the present invention.

FIG. 38 is a plan view showing a blade-shaped machining bit used in still another embodiment of the present invention.

FIG. 39 is a front sectional view showing a perforated state using the blade-shaped processing bit shown in FIG. 38;

FIG. 40 is a view showing a modification of the blade-shaped machining bit.

FIG. 41 is a plan view showing the shape of a through hole or a blind hole perforated according to another embodiment of the present invention.

FIG. 42 is a plan view showing the shape of a through-hole or a blind hole perforated according to still another embodiment of the present invention.

[Explanation of symbols]

 H ... hole O ... hole center R ... orbit circle T ... processing means G ... processing means center of gravity r ... orbit circle radius θ ... (revolution) rotation angle φ ... Processing means (rotation) rotation angle

Claims (16)

[Claims] 1. A machining method for machining a through-hole or a blind hole having a regular N-corner cross section with N apex angles of N, wherein a machining bit having a regular (N-1) square contour is penetrated. While revolving around the circumference of radius “r” concentric with the center of the hole or blind hole, it was rotated at an angular velocity “ω”, and the positive (N−
1) The square machining bit has a contour inscribed in a circle having a radius of (N-1) ² r, and the revolving angular velocity of the regular (N-1) square machining bit is "(1-N) ω ”, and the range in which the machining bit having the contour of the regular (N−1) square shape passes is a positive N circumscribing a circle of radius“ N (N−2) r ”.
A machining method characterized by being in the range of a square shape. 2. A machining method for machining a through-hole or a blind hole having an N-vertical N-shaped cross section in the form of a regular N-angle, wherein the machining method is coaxial with a center line of the through-hole or the blind hole to be machined. A processing monitor provided on the rod rotates around the processing rod, and a cutting fluid is ejected from a nozzle provided on a peripheral portion of the processing monitor and rotating around the monitor. When the angular speed of rotation around the periphery is “ω”, the angular speed at which the monitor rotates around the processing rod is “(1-N) ω”, and the monitor uses the center line of the through hole or the blind hole. When the radial distance away from the cutting fluid is “r”, the reach of the cutting fluid is “(N−1) ² r”, and the cutting fluid cuts over a radius “N (N−2). ) R is the range of the regular N-gonal shape circumscribing the circle. Machining method characterized by the fact that 3. A machining method for machining a through-hole or a blind hole having a regular N-corner cross-sectional shape having N apex angles, wherein a machining bit having a regular (N + 1) -square contour is formed through the through-hole or the blind hole. While revolving around a circle of radius “r” concentric with the center of the blind hole, it was rotated at an angular velocity “ω”, and the positive (N +
1) The angular machining bit has a contour inscribed in a circle having a radius of “(N + 1) ² r”, and the revolving angular velocity of the regular (N + 1) square machining bit is “(N + 1) ω”; A machining method wherein a range through which a machining bit having a contour of a regular (N + 1) square shape passes is a range of a regular N square shape circumscribing a circle having a radius of "N (N + 2) r". 4. A machining method for machining a through hole or a blind hole having a cross section of a regular N-sided polygon having N apex angles, wherein N blades are arranged on a rod at equal intervals in a circumferential direction. Using a blade-shaped machining bit configured as described above, the rod of the blade-shaped machining bit is provided radially separated from a machining rod coaxial with the center line of the through hole or blind hole to be machined, and the blade-shaped machining bit rotates. While rotating around the boring rod, and the angular velocity at which the blade-shaped machining bit rotates around the machining rod is “ω”.
In this case, the angular velocity at which the processing bit revolves around the processing rod is “(1-N) ω”, and the rotation center of the blade-shaped processing bit is separated from the center line of the through hole or the blind hole. When the radial distance to perform is “r”, the distance from the rotation center to the tip of the processing bit is “(N−1) ² r”, and the range of the processing bit passing through is the radius “N (N− 2) A machining method characterized by forming a range of a regular N-sided shape circumscribing the circle "r". 5. A machining method for machining a through hole or a blind hole having a regular N-sided cross section having N apex angles, wherein the machining axis is coaxial with the center line of the through hole or the blind hole to be machined. A processing monitor provided on the rod rotates around the processing rod, and a cutting fluid is ejected from a nozzle provided on a peripheral portion of the processing monitor and rotating around the monitor. When the angular speed of rotation around the periphery is “ω”, the angular speed at which the monitor rotates around the processing rod is “(1-N) ω”, and the monitor uses the center line of the through hole or the blind hole. The ratio of the reaching distance of the cutting fluid to the radial distance apart from is smaller than “(N−1) ² ”, and the cross-sectional shape of the range processed by the cutting fluid has N vertexes. ,and,
A machining method comprising a single closed region consisting of a curve. 6. A machining method for machining a through-hole or a blind hole having a cross section of a regular N-sided polygon having N apex angles, wherein N blades are arranged on a rod at equal intervals in a circumferential direction. Using a blade-shaped machining bit configured as described above, the rod of the blade-shaped machining bit is provided radially away from a machining rod coaxial with a center line of a through hole or a blind hole to be machined, and the blade-shaped machining bit rotates. While rotating around the boring rod, and the angular velocity at which the blade-shaped machining bit rotates around the machining rod is “ω”.
In this case, the angular velocity at which the processing bit revolves around the processing rod is “(1-N) ω”, and the rotation center of the blade-shaped processing bit is separated from the center line of the through hole or the blind hole. The ratio of the distance from the rotation center of the machining bit to the tip to the radial distance to be processed is represented by “(N−
1) The cross-sectional shape of the area through which the machining bit passes is made smaller than ² ", and is formed of a single closed area having N vertices and consisting of a curve. Machine processing method. 7. A processing monitor provided on a processing rod coaxial with a center line of a through hole or a blind hole to be processed rotates around the processing rod, and is provided on a peripheral portion of the processing monitor. When a cutting fluid is ejected from a nozzle rotating around the monitor, and the angular speed at which the nozzle rotates around the monitor is ω, the angular speed at which the monitor rotates around the processing rod is `` ω ''. (1−N) ω ”, and the monitor sets the ratio of the reach of the cutting fluid to the radial distance apart from the center line of the through hole or blind hole smaller than“ (N−1) ² ”. Wherein the cross-sectional shape of the area processed by the cutting fluid is formed of a plurality of closed regions each having a curved line and is symmetrical with respect to the center of the through hole or the blind hole. Machining method . 8. A blade-shaped machining bit configured by arranging N blades on a rod at equal intervals in a circumferential direction,
The rod of the blade-shaped machining bit is provided radially apart from a machining rod coaxial with the center line of the through hole or blind hole to be machined, and revolves around the boring rod while rotating the blade-shaped machining bit. When the angular velocity at which the blade-shaped processing bit rotates around the processing rod is “ω”, the angular velocity at which the processing bit revolves around the processing rod is “(1-N) ω”. The ratio of the distance from the rotation center of the machining bit to the tip to the radial distance in which the rotation center of the blade-shaped machining bit is separated from the center line of the through hole or the blind hole is smaller than “(N−1) ² ”. Then, the cross-sectional shape of the area processed by the cutting fluid is made up of a plurality of closed regions formed of curves and symmetrical with respect to the center of the through hole or the blind hole. Machining method characterized by was allowed to form. 9. A machining apparatus for machining a through-hole or a blind hole having a regular N-corner cross section having N apex angles, comprising a regular (N-1) square machining bit. The bit has a contour inscribed in a circle of radius (N-1) ² r, and rotates at an angular velocity “ω” while revolving on a circle of radius “r” concentric with the center of the through hole or blind hole. The revolving angular velocity is configured to be "(1-N) ω", and the range through which the machining bit passes is a regular N square shape circumscribing a circle having a radius of "N (N-2) r". A machining apparatus characterized by being configured to fall within the range of. 10. A machining apparatus for machining a through hole or a blind hole having an N-vertical angle and a regular N-sided cross section, for machining coaxial with the center line of the through hole or the blind hole to be machined. A rod, a processing monitor provided on the processing rod and configured to rotate around the processing rod, and a cutting fluid provided at a peripheral portion of the processing monitor and rotating around the monitor to eject a cutting fluid When the angular velocity at which the nozzle rotates around the monitor is “ω”, the angular velocity at which the monitor rotates around the processing rod is “(1-N) ω”. When the radial distance of the monitor from the center line of the through hole or the blind hole is “r”, the reaching distance of the cutting fluid is “(N−
1) 2 ^r ", and the range of cutting fluid processing, characterized in that it is configured such that the range of positive N angle shape circumscribing a circle having a radius" N (N-2) r ' Machine processing equipment. 11. A machining apparatus for machining a through-hole or a blind hole having a regular N-corner cross-sectional shape with N apex angles, comprising a regular (N + 1) -square machining bit, wherein the machining bit is It has a contour inscribed in a circle of radius “(N + 1) ² r”, and revolves at an angular velocity “ω” while revolving on the circumference of radius “r” concentrically with the center of the through hole or blind hole, The revolution angular velocity is configured to be “(N + 1) ω”, and the range through which the machining bit passes has a radius “N (N +
2) A machining apparatus characterized in that it is configured to be in the range of a regular N-gon shape circumscribing the circle "r". 12. A sectional shape of a regular N-sided polygon having N apex angles.
Processing equipment for processing through holes or blind holes
The center of the through hole or blind hole to be machined.
Construction rod and N blades on the rod in the circumferential direction etc.
With blade-shaped machining bits arranged at intervals
And the rod of the blade-shaped machining bit is
Is provided radially spaced from the rod and surrounds it
The blade is configured to revolve while rotating.
Angular speed at which the shaped bit rotates around the rod for processing
When the degree is “ω”, the processing bit is
The angular velocity revolving around the rod is “(1-N) ω”.
The rotation center of the blade-shaped machining bit is
Alternatively, the radial distance away from the centerline of the blind hole is "r"
From the center of rotation of the machining bit to the tip
Is "(N-1) ² r ”and the corresponding machining bit
Circumscribes a circle of radius "N (N-2) r"
It is characterized in that it is configured to be in the range of a regular N square shape
And processing equipment. 13. A machining apparatus for machining a through hole or a blind hole having a regular N-sided cross section having N apex angles, wherein the machining axis is coaxial with the center line of the through hole or the blind hole to be machined. A rod, a processing monitor provided on the processing rod and configured to rotate around the processing rod, and a cutting fluid provided at a peripheral portion of the processing monitor and rotating around the monitor to eject a cutting fluid When the angular velocity at which the nozzle rotates around the monitor is “ω”, the angular velocity at which the monitor rotates around the processing rod is “(1-N) ω”. The ratio of the reach of the cutting fluid to the radial distance from which the monitor is separated from the center line of the through hole or the blind hole is “(N−1) ²
), The cross-sectional shape of the range processed by the cutting fluid has N vertices,
And a processing apparatus comprising a single closed area formed of a curved line. 14. A processing rod for processing a through-hole or a blind hole having a cross section of a regular N-sided shape having N apex angles of N, a processing rod coaxial with the center line of the through-hole or the blind hole to be processed. And a blade-shaped machining bit constituted by arranging N blades on the rod at equal intervals in the circumferential direction, wherein the rod of the blade-shaped machining bit is radially separated from the machining rod. When the angular velocity at which the blade-shaped machining bit rotates around the machining rod is “ω”, the machining bit is rotated by the machining bit. The angular velocity of revolving around the rod is "(1-N) ω", and the rotation center of the blade-shaped machining bit rotates with respect to a radial distance from the center line of the through hole or the blind hole. Is constructed as sincerely ratio of the distance to the tip is smaller than "(N-1) ^2", I following, the range of the cross-sectional shape passing of the working bit, has N vertices, and, A processing apparatus comprising a single closed area formed by a curve. 15. A processing rod coaxial with a center line of a through hole or a blind hole to be processed, a processing monitor provided on the processing rod and configured to rotate around the processing rod; A nozzle provided at a peripheral portion of the monitor and injecting a cutting fluid while rotating around the monitor, wherein the angular velocity at which the nozzle rotates around the monitor is "ω"; The angular velocity at which the monitor rotates around the processing rod is “(1-N) ω”, and the ratio of the reach of the cutting fluid to the radial distance of the monitor separated from the center line of the through hole or the blind hole is Is smaller than “(N−1) ² ”, so that the cross-sectional shape of the area processed by the cutting fluid is constituted by a plurality of closed regions each formed of a curved line, and The center of the hole or blind hole A processing apparatus characterized in that the processing apparatus has a symmetrical shape. 16. A processing rod coaxial with a center line of a through hole or a blind hole to be processed, and a blade-shaped processing bit formed by arranging N blades on the rod at equal intervals in a circumferential direction. The rod of the blade-shaped machining bit is provided so as to be radially separated from the machining rod, and is configured to revolve while rotating around its periphery,
When the angular velocity at which the blade-shaped processing bit rotates around the processing rod is “ω”, the angular velocity at which the processing bit revolves around the processing rod is “(1-
N) ω, and the ratio of the distance from the rotation center of the processing bit to the tip to the radial distance where the rotation center of the blade-shaped processing bit is separated from the center line of the through hole or the blind hole is “(N−1). ² ) is smaller than ² ), so that the cross-sectional shape of the area processed by the cutting fluid is composed of a plurality of closed regions each formed of a curved line and is located at the center of the through hole or the blind hole. A processing apparatus characterized by being configured to have a symmetrical shape with respect to the processing apparatus.