JP2002283115A - Machining method and device - Google Patents

Abstract

PROBLEM TO BE SOLVED: To provide a non-circular machining method capable of machining with a regular polygonal section without impairing advantages of rotational motion. SOLUTION: This machining method for making a hole H having a regular N-cornered shape with the N-number of apex angles, uses a machining means T formed in a regular (N-1)-cornered shape inscribed to a regular N-cornered shape to be machined. The machining means T rotates with a designated rotational frequency along a orbital circle R with a designated radius round the center O of machining, and rotates on its axis at a designated speed round the center G of the machining means to perform machining. As the machining means T for the regular (N-1)-cornered machining means T, a blade-like machining bit or jet is used. It is possible to use the machining means T of the regular (N+1)-cornered shape.

Description

DETAILED DESCRIPTION OF THE INVENTION

[0001]

BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a method of machining a hole having a non-circular cross section (through hole or blind hole) in the operation of mechanically machining various holes or the drilling of a machine tool. Related to the device. More specifically,
According to the present invention, for example, when a hole is drilled in a workpiece or a hole is drilled in a machine, the cross-sectional shape is a regular N-sided shape (N
The present invention relates to a machining method and an apparatus for making a hole so that each apex angle is equal and each side length is equal.

[0002]

2. Description of the Related Art First, when a workpiece is machined by using power, rotating a machining bit is one of the most effective machining methods. At that time, the shape of the processing is naturally circular. But,
Depending on the purpose of processing, it may be desirable that the shape is not circular. For example, in a tunnel used for a subway or other railway, a square cross section has less waste in processing amount (FIG. 5).
1 and FIG. 52).

In the case of performing processing over the entire surface of a work to be processed, as shown in FIG. 53, there are many overlapping portions in circular processing. On the other hand, for example, if the cross-sectional shape is a hexagonal processing hole processing, as shown in FIG.
It is possible to perform processing over the entire area to be constructed without performing any overlapping processing. And since the useless cost by overlapping processing can be reduced, construction cost can be greatly reduced.

As described above, there are various advantages in processing a non-circular cross section. However, very little technology is available at this time for drilling workpieces with non-circular cross-sections.

[0005] Further, the same problem as the above-mentioned problem in machining a hole also exists in a case where a through hole or a blind hole is cut or ground in a base material by machining or the like. The same is true with respect to the fact that a technique effective for drilling a through hole or a blind hole having a non-circular cross section has not been provided at present.

[0006]

DISCLOSURE OF THE INVENTION The present invention has been proposed in view of the above-described situation, and has been proposed for boring a hole having a non-circular cross-sectional shape, particularly a regular polygonal cross-sectional shape. It is an object of the present invention to provide a machining method and a machining apparatus which is capable of making a through hole or a blind hole having a non-circular cross-sectional shape by cutting or grinding.

[0007]

[Knowledge] As a result of research, the inventors have found the following technical matters. (A) The regular (N-1) square inscribed in the circle of radius "(N-1) 2 r" is defined as the center of the circle (the center of gravity of the N-1 square).
When revolving around the circumference of the radius “r” at an angular velocity “(1-N) ω” while rotating at an angular velocity “ω” around the axis, the sweep range of this regular (N−1) square is "N (N-2) r"
Is a range surrounded by a regular N-corner curve circumscribing the circle.
Then, the regular (N-1) square is defined as a line segment having a length "L = (N-1) 2r" connecting the vertex from the axis (center of gravity),
When revolving around the circumference of the radius "r" at the angular velocity "(1-N) ω" while rotating at the angular velocity "ω", similarly to the above, the tip of the line segment corresponding to the vertex of the regular (N-1) square Is the radius "N
A curve of a regular N-gon shape circumscribing the circle of (N-2) r "is drawn, and the line segment sweeps the inside thereof. (B) Also, the ratio of this line segment to the radius “r” is smaller than “(N−1) 2”, that is, the line segment “L”
Is a line segment inside (closer to the center of gravity) a vertex of a regular (N-1) square inscribed in the circle having the radius "(N-1) 2r", the trajectory of the tip becomes It has a shape having N vertices and connected between the vertices by a curve curved toward the center of gravity, and the line segment sweeps over the enclosed area. (C) On the other hand, while rotating a regular (N + 1) square inscribed in a circle having a radius of “(N + 1) 2 r” at an angular velocity ω about the center of the circle, an angular velocity “ (N +
1) When revolving at ω ”, the sweep range of the regular (N + 1) square is a range surrounded by a regular N-corner-shaped curve circumscribing a circle having a radius of“ N (N + 2) r ”. Then, similarly to the above, the regular (N + 1) polygon can be swept even if the regular (N + 1) polygon is a line segment “L” from the center of gravity to the vertex. (D) Also, the ratio of the line segment “L” to the radius “r” is smaller than “(N + 1) 2”, that is, the tip of the line segment is formed into a circle of the radius “(N + 1) 2r”. Assuming that the line segment is inside (closer to the center of gravity) the vertex of the inscribed regular (N + 1) polygon, the trajectory of the tip is N rounds (R)
Are formed, and a closed curve is formed by connecting the vertices with a curve, and the line segment sweeps the enclosed area. In the above findings and the present specification, the positive and negative signs attached to the angular velocities are used to indicate that the rotational directions of the positive and negative angular velocities are opposite to each other. Have been.

[0008]

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 processing hole having a horizontal cross-sectional shape of a substantially N-sided shape having N apex angles, wherein
1) A processing bit having an angular contour is rotated on an circumference of a radius “r” concentrically with the center of the processing hole and is rotated at an angular velocity “ω”, thereby forming the regular (N−1) square shape. The machining bit has a contour inscribed in a circle having a radius of (N-1) 2r, and the revolving angular velocity of the regular (N-1) square machining bit is "(1-N) ω". (Claim 1).

Further, according to the machining apparatus of the present invention, in a machining apparatus for machining a processing hole having a vertical cross section of a regular N-sided shape having N apex angles, the processing of the regular (N-1) square shape is performed. And the machining bit has a radius (N-1) 2
It has a contour inscribed in the circle of r, and rotates at an angular velocity “ω” while revolving on the circumference of a radius “r” concentrically with the center of the processing hole, and its revolution angular velocity is “(1-N) ω ”(claim 7). In the present specification, the term “machined hole” is used as a term including both a through hole and a blind hole.

[0010] According to the machining method and the machining apparatus of the present invention configured as described above, for example, the "method (N-
1) The ratio of the “distance from the rotation center of the machining bit to the tip” relative to the “radial distance at which the rotation center of the angular machining bit is separated from the center line of the machining hole” is (N−
1) In the case of 2, based on the above knowledge (A), a processing hole having a regular (N-1) square machining bit corresponding to the line segment and having a regular N square horizontal cross-sectional shape. And the sweep range is positive (N-
1) It is processed by a square processing bit. That is, the processing bit having a regular (N-1) square shape has a radius “N”.
The range of the regular N-corner shape circumscribing the circle of (N-2) r "is swept, thereby forming the regular N-corner-shaped processing hole.

Next, in the above-mentioned machining method of the present invention, a machining hole having a cross section of a regular N-polygon whose side connecting the vertices is (substantially) straight is formed. As in the case of a friction pile, there is a case where it is desired to increase the circumferential length of the cross section (the length of the contour of the cross sectional shape) compared to the cross sectional area.

In order to meet such a demand, if the ratio is made smaller than (N-1) 2 based on the knowledge (B), the sectional shape of the machining bit in the sweep range becomes N
It has a number of vertices, and has a shape composed of a single closed region consisting of a curve (curved line curved toward the center line side of the processing hole). Therefore, it is possible to machine a processing hole having a cross-sectional shape suitable for construction of a friction pile or the like, that is, a cross-section having a shape in which the circumference of the contour is longer than the cross-sectional area.

Here, if the ratio is further reduced,
The cross-sectional area of the processed hole becomes a shape composed of a plurality of closed regions. That is, the N
A through-hole or a blind hole which is constituted by a plurality of closed regions and has a cross-sectional shape which is symmetrical with respect to the center of the through-hole or the blind hole can be formed in the workpiece. If such processing is possible, for example, a more complicated pattern can be processed on the work surface.

On the other hand, even if the above ratio is (N-1) 2 or more, there is no problem in processing. However, the cross-sectional shape becomes almost circular from the cross-sectional shape of the N-sided polygon. As the above ratio increases, the cross-sectional shape of the machined hole approaches a perfect circle as much as possible.

Further, in the machining method of the present invention, the number of apex angles is N
In a machining method for machining a plurality of machining holes having a substantially N-shaped cross-sectional shape, a blade-like machining bit configured by radially arranging "N-1" or less blades on a rod is used. The rod of the machining bit is provided at a radial distance from the machining rod coaxial with the center line of the machining hole to be machined, and the blade-like machining bit rotates around the rod while rotating around the machining rod. 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 ”(claim 3).

A corresponding machining apparatus of the present invention is:
In a machining apparatus for processing a processing hole having a cross-sectional shape of an N-vertical shape having N apex angles, a processing rod coaxial with a center line of the processing hole to be processed, and "N-1"
And a blade-like machining bit configured by radially arranging the following blades, wherein the rod of the blade-like machining bit is provided radially separated from the machining rod and has a periphery thereof. When the angular velocity at which the blade-shaped processing bit rotates around the rod is "ω", the angular velocity at which the processing bit revolves around the processing rod is configured. Becomes “(1-N) ω” (claim 9).

According to the machining method and apparatus of the present invention configured as described above, for example, "the center of rotation of the regular (N-1) square machining bit is separated from the center line of the machining hole. The ratio of the “distance from the rotation center to the tip of the processing bit” to the “radial distance” is (N−1) 2
In the case of, based on the above knowledge (A), the blade-like processing bit can sweep a processing hole having a regular N-sided horizontal cross-sectional shape corresponding to the line segment, and The sweep range is processed by the processing bit. That is, the processing bit has a radius “N (N−2)
A range of the regular N-corner circumscribing the circle of “r” is swept to form a regular N-corner-shaped processing hole.

In the above-mentioned machining method of the present invention, a machining hole having a regular N-gonal cross-sectional shape whose side connecting the vertices is (substantially) straight is processed. As described above, there are cases where it is desired to increase the peripheral length of the cross section (the length of the contour of the cross sectional shape) as compared with the cross sectional area. In order to respond to such a request, based on the knowledge (B), the radial distance “r” at which the rotation center of the blade-shaped machining bit is separated from the center line of the machining hole and the rotation of the machining bit are determined. The ratio of the distance “L” from the center to the tip or the ratio of the radial distance “r” at which the monitor is separated from the center line of the processing hole and the reach distance “L” of the processing fluid is represented by “(N− 1) 2
", The cross-sectional shape of the sweep range of the working bit has N vertices and is a single closed curve consisting of a curve (a curved line that curves toward the centerline side of the working hole). It has a shape composed of regions. Therefore, it is possible to machine a processing hole having a cross-sectional shape suitable for construction of a friction pile or the like, that is, a cross-section having a shape in which the circumference of the contour is longer than the cross-sectional area.

If the ratio is further reduced, the cross-sectional area of the processed hole becomes a shape composed of a plurality of closed regions. That is, a through-hole or blind hole composed of N closed regions formed of a curved line and having a cross-sectional shape symmetrical with respect to the center of the through-hole or blind hole can be formed on the workpiece. If such processing is possible, for example, a more complicated pattern can be processed on the work surface.

On the other hand, even if the above ratio is (N-1) 2 or more, there is no problem in processing. It can be processed to a cross-sectional shape closer to a circle than an N-sided shape. If the above ratio is too large, the cross-sectional shape of the processed hole becomes substantially circular.

The number of blades is preferably such that (N-1) blades are arranged radially, and their tips are arranged at regular intervals in the circumferential direction so that their tips are at a positive (N-1) angle. Also, (N-1)
In the case where the number is less than the number, it is preferable to dispose them toward any one of the positive (N-1) angles.

In the present invention, when any of a regular (N-1) square processing bit, a blade-shaped bit, and a processing fluid is used, the cross-sectional shape of the processing to be processed is as follows.
A regular (N-1) square is an envelope created by eccentric rotation, and each apex angle of a regular N polygon to be machined is rounded, and each side can be called a straight line in a strict sense. Absent. However, in practice, there is no problem in considering that the cross-sectional shape of the processing performed by the present invention is a regular N-gon.

The machining method of the present invention is a machining method for machining a machining hole having a cross section of a substantially N-sided shape having N apex angles, wherein the machining axis is coaxial with the center line of the machining hole to be machined. A rod for processing, a processing monitor provided on the rod for processing and configured to rotate around the rod,
"N-" which is provided at a peripheral portion of the processing monitor and injects a processing fluid in a radial direction while rotating around the monitor.
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 ”(claim 5).

A machining apparatus according to the present invention, which corresponds to the above method, is a machining apparatus for machining a machining hole having a cross section of a substantially N-sided shape having N apex angles. A processing rod provided coaxially with the processing rod, a processing monitor provided on the processing rod and configured to rotate around the processing rod, and provided on a peripheral portion of the processing monitor and rotating around the monitor. A nozzle for injecting a processing fluid in a radial direction, the nozzle having the number of "N-1" or less, and the monitor rotating the processing rod when an angular velocity at which the nozzle rotates around the monitor is "ω"; Is characterized in that the angular velocity of the rotation around is ((1-N) ω).

According to the machining method and apparatus of the present invention having the above-described configuration, for example, "a radius at which the rotation center of the regular (N-1) square machining monitor is separated from the center line of the machining hole. If the ratio of the “distance from the rotation center of the processing monitor to the tip” with respect to the “directional distance” is (N−1) 2, based on the knowledge (A), the injected processing fluid is A processing hole having a regular N-sided horizontal cross-sectional shape having N vertexes corresponding to a line segment can be processed.

If the ratio is smaller than "(N-1) 2", the range processed by the processing fluid has N vertices and is formed of a curve based on the knowledge (B). Since it has a substantially N-shaped cross section composed of a single closed region, it has a cross-sectional shape suitable for construction of a friction pile or the like that requires a large surface area.

If the ratio is further reduced, the cross section of the processed hole has a shape composed of a plurality of closed regions.
That is, a through-hole or blind hole composed of N closed regions formed of a curved line and having a cross-sectional shape symmetrical with respect to the center of the through-hole or blind hole can be formed on the workpiece. If such processing is possible, for example, a more complicated pattern can be processed on the work surface.

On the other hand, even if the above ratio is (N-1) 2 or more, there is no problem in processing except that the cross-sectional shape is closer to a circle than an N-sided shape. As the ratio increases, the cross-sectional shape of the processed hole approaches a perfect circle.

The machining method according to the present invention is directed to a machining method for machining a machining hole having an N-vertical horizontal cross-sectional shape having a number of N apex angles. The bit is rotated at an angular velocity “ω” while revolving around the circumference of the radius “r” concentrically with the center of the processing hole, and the regular (N + 1) square processing bit has the radius “(N +
1) It has a contour inscribed in the circle of 2r ", and the revolving angular velocity of the regular (N + 1) square machining bit is" (N
+1) ω ”(claim 2).

A machining apparatus according to the present invention corresponding to such a method is a machining apparatus for machining a processing hole having a horizontal cross-sectional shape of a regular N-sided polygon having N apex angles.
The machining bit has a square shape and has a contour inscribed in a circle having a radius of “(N + 1) 2 r”. The machining bit is concentric with the center of the machining hole and extends on the circumference of the radius “r”. While revolving, it rotates at an angular velocity “ω”, and its revolving angular velocity is “(N +
1) ω ”(claim 8).

According to the machining method and apparatus of the present invention having such a configuration, for example, "the radial distance in which the center of rotation of the regular (N + 1) square machining bit is separated from the center line of the machining hole" When the ratio of “the distance from the rotation center of the processing bit to the tip” of the processing bit is (N + 1) 2, the processing bit having a regular (N + 1) square shape is divided into the line segment based on the knowledge (C). And the radius "N (N
+2) Sweep the cross-sectional shape of the regular N-gon shape circumscribing the circle of “r”, process that range (that is, the range having the N-angle cross-section), and process the N-shaped square processing hole. Can be done.

If the ratio is smaller than "(N + 1) 2", based on the finding (D), the positive (N +
1) The sweep range of the square machining bit is rounded N
It can be a range of a shape that has a number of vertices and is formed by an area closed by a curve. Such a cross-sectional shape is suitable for construction of a friction pile or the like that requires a large surface area.

If the ratio is further reduced, the cross-sectional area of the processed hole becomes a shape composed of a plurality of closed regions. That is, a through-hole or blind hole composed of N closed regions formed of a curved line and having a cross-sectional shape symmetrical with respect to the center of the through-hole or blind hole can be formed on the workpiece. If such processing is possible, for example, a more complicated pattern can be processed on the work surface.

On the other hand, even if the above ratio is (N + 1) 2 or more, there is no problem in processing, except that the cross-sectional shape is closer to a circle than an N-sided shape. When a cross-sectional shape close to a perfect circle is required, the ratio may be set as large as possible.

Further, the machining method of the present invention is a machining method for machining a machining hole having a cross section of a substantially N-sided shape having a number of N apex angles. The blade-shaped machining bit is arranged and arranged at a distance from the machining rod coaxial with the center line of the machining hole in which the rod of the blade-shaped machining bit is to be machined. When the blade-shaped machining bit revolves around the machining rod while rotating, the blade-shaped machining bit rotates when the angular speed around the machining rod is ω, and the machining bit is rotated. The angular velocity revolving around the processing rod is "(N + 1) ω" (claim 4).

A machining apparatus according to the present invention corresponding to such a method is a machining apparatus for machining a processing hole having a cross section of a substantially N-sided shape having N apex angles, wherein the center line of the processing hole to be processed is provided. And a processing rod coaxial with
1) or less blades are arranged radially to form a blade-like processing bit, and the rod of the blade-like processing bit is provided radially separated from the processing rod and When the angular speed at which the blade-shaped processing bit rotates around the rod is “ω”, the processing bit revolves around the processing rod. The angular velocity to be performed is "(N + 1) ω" (claim 10).

In the present invention having the above configuration,
For example, the ratio of "the distance from the rotation center of the processing bit to the tip thereof" to "the radial distance in which the rotation center of the processing bit having the regular (N + 1) square shape is separated from the center line of the processing hole" is ( If N + 1) 2, then based on the knowledge (C), the cross-sectional shape of a regular N-gonal shape in which the blade-like machining bit circumscribes a circle of radius “N (N + 2) r” corresponding to the line segment And process the area,
A processing hole having a regular N-shaped cross section can be processed.

The number of blades is preferably such that (N + 1) blades are arranged radially and are arranged at regular intervals in the circumferential direction so that their tips are at a positive (N + 1) angle. Also, (N + 1)
In the case where the number is less than the number, it is preferable to dispose them toward any one of the positive (N + 1) angles.

In the present invention, for example, the above ratio is expressed as “(N
+1) 2 ”, the blade-like machining bit has a number of N vertices based on the knowledge (D), and a single closed curve having N vertices and connecting the vertices with a curved curve. And a processing hole having a substantially N-sided horizontal cross-sectional shape can be processed. When the ratio is set to a smaller value, the cross-sectional shape of the machined hole is constituted by a plurality of closed regions formed by curves. That is, a through-hole or blind hole composed of N closed regions formed of a curved line and having a cross-sectional shape symmetrical with respect to the center of the through-hole or blind hole can be formed on the workpiece. If such processing is possible, for example, a more complicated pattern can be processed on the work surface.

On the other hand, even if the above ratio slightly exceeds (N + 1) 2, there is no problem in processing, except that the cross-sectional shape becomes closer to a circle than an N-sided shape. If the above ratio increases, the cross-sectional shape of the processed hole becomes substantially circular or approaches a perfect circle.

The machining method according to the present invention is directed to a machining method for machining a machining hole having a cross section of a substantially N-sided shape having N apex angles, wherein the machining axis is coaxial with the center line of the machining hole to be machined. A rod; a processing monitor provided on the processing rod and configured to rotate around the processing rod; and a processing fluid provided on a peripheral portion of the processing monitor and rotating around the monitor so that the processing fluid has a radius. And (N + 1) or less nozzles ejecting in the direction, and 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 “ (N + 1)
ω ”(claim 6).

A machining apparatus according to the present invention corresponding to this method is a machining apparatus for machining a processing hole having a cross section of a regular N-sided shape having N apex angles, wherein the center line of the processing hole to be processed is provided. A processing rod provided coaxially with the processing rod, a processing monitor provided on the processing rod and configured to rotate around the processing rod, and provided on a peripheral portion of the processing monitor and rotating around the monitor. When the angular velocity at which the nozzle rotates around the monitor is "ω", the monitor moves around the machining rod when the angular velocity at which the nozzle rotates around the monitor is "ω". The angular velocity of rotation is "(N + 1) ω" (claim 12).

According to the present invention having the above-described configuration, for example, "the radial distance in which the rotation center of the regular (N + 1) -square processing bit is separated from the center line of the processing hole" When the ratio of “the distance from the rotation center to the tip of the processing bit” is (N + 1) 2,
Based on the knowledge (C), a processing monitor provided on a processing rod coaxial with the center line of a processing hole to be processed rotates around the processing rod, provided on a peripheral portion of the processing monitor, and A processing fluid is ejected from a nozzle rotating around the monitor, and the processing range is a radius “N (N + 2).
The range is a regular N-gonal shape circumscribing the circle “r”.

If the ratio is set to be equal to or less than "(N + 1) 2", based on the knowledge (D), the injected working fluid corresponds to the "line segment" in the knowledge (D), A region having N vertices having a circle and closed by a curve can be machined to form a machined hole having a regular N-gonal cross-sectional shape. Here, if the above is set smaller, the cross-sectional shape of the machined hole will be composed of a plurality of closed regions consisting of curves. That is, a through-hole or blind hole composed of N closed regions formed of a curved line and having a cross-sectional shape symmetrical with respect to the center of the through-hole or blind hole can be formed on the workpiece. If such processing is possible, for example, a more complicated pattern can be processed on the work surface.

On the other hand, even if the above ratio slightly exceeds (N-1) 2, there is no problem in processing, except that the cross-sectional shape becomes closer to a circle than an N-sided shape. If the above ratio is set to be as large as possible, the cross-sectional shape of the machined hole becomes infinitely close to a perfect circle.

Here, it is preferable that the nozzles are provided in pairs, and the processing fluid forms a so-called "cross jet". This is because, in the case of a cross jet, the reach of the processing fluid can be controlled with extremely high accuracy.

As described above, according to the present invention, a regular polygonal shape can be processed by a blade-shaped processing bit or a processing fluid jetted from a nozzle provided at a peripheral portion of a monitor, and it is possible to process a hole and other functions. It can be applied to various processing and construction.

[0048]

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

First, referring to FIGS. 1 to 21, a regular (N-1) square is rotated based on the above knowledge (A) to form a regular N (or a regular (N-1) square). A method for processing a regular N-sided processing hole with a processing bit) will be described. FIG. 1 shows an example of creating (machining) a square (machining hole) H whose vertices are indicated by reference signs A, B, C, and D by rotating an equilateral triangle (machining bit) T inscribed in the square H. It is shown. 2 to 7 show a mode in which a regular square hole H is sequentially created by the regular triangle T.

In the figure, an equilateral triangle T (a machining bit having a contour of a regular (N-1) square) is inscribed in a square (machined hole) H having one side 2a, and its center of gravity (center of gravity) G Is revolving counterclockwise from the center O of the square H on a trajectory R having a radius “r”, and the rotation angle (revolution angle) is indicated by θ. And the equilateral triangle T is clockwise 1 / of the revolution speed.
It rotates at a speed of 3 and its rotation angle (rotation angle)
Is denoted by φ. The distance L from the center of gravity G of the equilateral triangle T to the vertex P is L = a / cos 30 °, and the distance “r” between the center of gravity of the square H and the center of gravity (O, G) of the equilateral triangle T is r.
= L−a = (sec30 ° −1) a, and this “r”
Is the radius of the orbit R.

FIG. 2 shows a state in which a line segment L connecting the vertex P of the equilateral 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.
Rotates in the opposite directions of φ = 15 ° and 30 °, and the trajectory of the vertex P forms one side of the square H. 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 equilateral triangle T, and the square H is formed in a square shape.

FIG. 8 shows the trajectory of the vertex P when the equilateral triangle (machining bit) T as described with reference to FIGS. It is clearly shown that the locus of the vertex P forms a square H. In FIG. 8, the trajectory of the center of gravity G of the equilateral triangle T is indicated by a symbol GT. Here, as shown in FIG. 8, the created square H is an envelope due to the eccentric rotation of the equilateral triangle T, and each apex angle is rounded, and each side has a strict meaning. Cannot be called a straight line. However, the shape of the square H shown in FIG. 8 is practically considered to be a square (regular square) in the processing of the processing hole, and there is no problem.

FIG. 9 shows a square T4 and a regular pentagon H
5 and a regular pentagon T5 and a regular hexagon H6 in FIG.
Is shown. In this case, the orbit circle radius “r” is the distance between the two polygonal centers of gravity (OG), and r = a
{Sec (π / N) −1} / 2. Here, a is the distance between the center O of the regular N-gon and one side (see FIG. 9).

In each of the above examples, it has been described that a regular (N-1) square is eccentrically rotated to create a regular N-sided polygon, which will be described in detail later (FIGS. 17 to 19). Positive (N-
1) By rotating a line connecting the center of gravity (center of rotation) and each vertex of the square, the tip similarly draws a regular N-gon, and the line is connected to a blade-like machining bit (or machining fluid jet). Then, it can be easily understood that a regular polygonal processing hole can be processed. FIGS. 11 to 16 show processing holes H3 from a regular triangular shape (FIG. 11) to a regular octagonal shape (FIG. 16).
~ H8 and the orbit R3 of the center of rotation (center of gravity) of the cutter shaft ~
R8 is shown respectively.

Next, an embodiment of processing by the cutter will be described with reference to FIGS. In addition, here, an example will be described in which a jet is jetted from a nozzle provided at equal intervals in a circumferential direction to a vertex of a regular polygon on a peripheral portion of a monitor provided at the center of gravity of the regular polygon to process the same. The same applies to a blade-shaped processing cutter that extends radially from the position of the center of gravity to the apex.

In FIGS. 17 to 21, the orbit revolves around the circumference of the radius "r" at the angular velocity ω, and rotates in the opposite direction at the angular velocity 3ω to form a processing hole into a regular square shape with a side length a. An embodiment will be described as an example. 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 processing a hole having a square cross section. In this figure, the radius of a circle formed by the locus (revolution locus) TL of the nozzle N is " r ”and the initial position of the nozzle N (FIG. 17).
The coordinates (x, y) of the position (indicated by) are (r, 0), and when this is generalized, the following equations (2) and (3) are obtained. x = r · cosΩt (2) y = r · sinΩt (3) In the equations (2) and (3), the symbol Ω denotes an angular velocity at which the nozzle N rotates around a monitor (not shown). (Revolution angular velocity)
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 locus 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 show the progress of cutting by the jet J, and the symbol θ indicates the angle of the nozzle N revolved. FIG. 18 shows that the nozzle N
Π / 2 counterclockwise with respect to the position indicated by 7 (initial position)
(Rad) shows a state of revolution. Then, the nozzle N has a revolution speed Ω (= 3ω = (N−1) ω: N =
4), the jet J spins in the opposite direction at an angular velocity "-ω" of 1/3, so that the jet J jetted therefrom is not parallel to the X-axis, but at an angle as shown in FIG. (Rotation angle). Then, the jet J moves due to the revolution and rotation of the nozzle N, and the tip JE also moves. As a result, a region (a region in the work) indicated by hatching in FIG. 18 is cut. Here, the cross-sectional shape of the perforated region is a cross-sectional shape that cannot be formed by a conventional processing hole having a circular cross section.

At this time, in the cut area (the area indicated by hatching), the line connecting the point F and the point JE is a straight line parallel to the Y axis. 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. Also at this stage, the line segment connecting the point F and the point JE is a straight line parallel to the Y axis. For simplification of illustration, in FIGS. 19 to 21, the cut area is not hatched.

FIG. 19 shows a state in which the nozzle N has revolved around the initial position in the counterclockwise direction by θ = π (rad). At this stage, the tip J-
E moves in the clockwise direction in the figure parallel to the X axis after moving parallel to the Y axis. At the stage shown in FIG. 20, that is, at the stage when the nozzle N has revolved around the initial position by θ = 5π / 4, the tip JE of the jet J further moves clockwise in the figure in parallel with the X axis. are doing. Then, when the nozzle N revolves around θ = 2π (rad) (in other words, makes one revolution on the revolution trajectory TL), the tip JE of the jet J reaches a position as shown in FIG.

Although not shown, when the nozzle N revolves around the initial position by θ = 6π, that is, when the nozzle N makes three revolutions on the revolution trajectory TL, the tip JE of the jet J
Returns to the initial position F (that is, performs one rotation), and a region having a square cross section, that is, a square cross section is cut. In FIGS. 17 to 21, a slight round (R) is formed at the corner of the processed square cross section 10.
However, the difference between the right-angled corner and the rounded corner is negligibly small in actual construction.

Next, an embodiment based on the finding (C) will be described with reference to FIGS. here,
In the embodiments of FIGS. 22 to 25, the cross-sectional shape (regular N-sided shape) of the processed hole is a quadrangle. That is, N = 4. The processing bit having a regular “N + 1” (5) square contour will be described, but the blade-like processing cutter (or jet) extending radially from the center of gravity of the regular (N + 1) square to each apex angle is exactly the same. What can be processed into
This is the same as the description of the previous example.

In FIGS. 22 to 25, a regular pentagonal (positive “N + 1” square) cutter P (a processing bit having a regular (N + 1) square shape contour) has a center of gravity (center of gravity) G. A circumferential trajectory R having a radius “r” is moved (revolved) clockwise from the center O of the processing hole H, and the rotation angle (revolved angle) is indicated by a symbol “θ”. Here, the radius “r” of the locus drawn by the center of gravity of the cutter P is 1/25 (ie, 1 / (N + 1) 2) of the radius of a circle circumscribing the cutter P (not shown in FIGS. 22 to 25). is there. In other words, the regular pentagonal cutter P has a radius of 25r (that is, “(N +
1) 2r ") (not shown in FIGS. 22 to 25). On the other hand, the cutter P revolves and revolves, and the revolving speed is 1/5 of the revolving speed (that is, “1 / (N + 1)”).
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. 22 to 25, the symbol “IS” indicates a cross-sectional shape when it is assumed that a completely square processing hole can be processed. In other words, the symbol “IS” indicates an ideal cross-sectional shape. ing.

FIG. 22 shows a state where 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 revolves 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 rectangular locus is drawn, and in practice, it may be considered that a processing hole having a rectangular cross section is processed.

As described above, in FIGS. 22 to 25, the creation of a regular N-shaped hole by a regular (N + 1) square based on the finding (C) will be described by taking the creation of a square hole by a pentagonal machining bit as an example. Although examples of other arbitrary N-shaped holes are omitted, they can be similarly created.

Next, as described in the above knowledge (B), the radial distance “r” at which the monitor is separated from the center line of the processing hole is defined as:
The ratio with the reach distance “L” of the processing fluid, or
The ratio of the radial distance at which the rotation center of the blade-like machining bit is separated from the center line of the machining hole to the distance from the rotation center to the tip of the machining bit (that is, the revolution radius and the rotation center from the rotation center for machining) If the ratio L / r to the distance to the tip of the bit is smaller than (N-1) 2, the cross-sectional shape of the sweep range of the machining bits T and P has N vertices and The side connecting the apex can be formed in a shape constituted by a curved line. FIGS. 26 to 31 show the cross-sectional shapes of the holes processed by the embodiment described with reference to FIGS. 17 to 21 when the ratio is (N-1). Here, FIG. 26 shows N = 3, FIG. 27 shows N = 4,
28 shows N = 5, FIG. 29 shows N = 6, FIG. 30 shows N = 7, and FIG. 31 shows N = 8.

FIG. 32 shows the ratio of the revolution radius “r” to the distance L from the center of rotation to the tip of the machining bit (“the radial distance at which the monitor is separated from the center line of the machining hole, Ratio to the reach of the fluid ", or
“Ratio of the radial distance in which the rotation center of the blade-shaped machining bit is separated from the center line of the machining hole and the distance from the rotation center of the machining bit to the tip”) L / r is “N”. In this case, an example of N = 4 is shown.

In the description of the embodiment shown in FIGS. 26 to 31, the other configurations are substantially the same as those of the embodiment shown in FIGS.

As described above, the ratio between the revolution radius “r” and the distance L from the center of rotation to the tip of the machining bit (the radial distance from which the monitor is separated from the center line of the machining hole, Or the ratio between the radial distance at which the rotation center of the blade-shaped machining bit is separated from the center line of the machining hole and the distance from the rotation center of the machining bit to the tip) L / If r is made smaller than (N-1), the tip trajectories of the machining bits T and P are composed of a plurality of closed areas formed of curves and are symmetric with respect to the center of the machining hole. It is possible to have such a shape. FIGS. 34 to 39 are created by the embodiments of FIGS. 17 to 21 when the “plurality of closed regions” is N and the ratio L / r is “1”. 3 shows a cross-sectional shape of a processing hole.
Here, FIG. 34 shows N = 3, FIG. 35 shows N = 4, FIG. 36 shows N = 5, FIG. 37 shows N = 6, FIG. 38 shows N = 7, and FIG.
= 8. When the ratio L / r is small and the trajectory of the tip forms a plurality of closed regions, the sweeping region of the blade-like bit (or jet) is the closed region. Do not stay within.

FIG. 33 shows “a plurality of closed areas”.
Are (N + 1) pieces and the cross-sectional shape of the processed hole of N = 4 when the ratio is “N−2”.

Next, an embodiment based on the knowledge (D) is shown in FIG.
0 to FIG. FIGS. 40 to 42 show that N = 4 regular N-sided machining holes are formed by using (N + 1) = 5 blade-like machining bits, and the rotation center of the blade-like machining bits is separated from the center line of the machining hole. The ratio between the radial distance “r” to be performed and the distance “L” from the rotation center of the processing bit to the tip is changed to 27, 18 and 9, respectively. 43 to 45 show that N = 6 regular N-corner processing holes are formed using (N + 1) = 7 blade-like processing bits, and the ratio L / r is 33.75, 1 respectively.
The case where it changed to 8 and 9 is shown. As described above, when the ratio L / r is made smaller than (N + 1) 2, the round (R) at the apex of the regular N-sided hole to be formed is formed.
Gradually increase to form a flower-like shape.

Next, referring to FIGS. 46 to 48, an embodiment of a machining apparatus for processing a processing hole having a cross section of a regular N polygon (for example, square: regular quadrangle) using a blade-like processing bit. The form will be described.

FIGS. 46 and 47 show three blades R1, R2, centrally connected (particularly as shown in FIG. 46).
The cutter having the R3 or the processing bit T-1 is shown in FIG.
As described with reference to FIGS. 8A and 8B, a square (square) processing hole is formed by rotating and revolving in the same manner as in the case of using a regular triangle (a processing bit: reference symbol "T" in FIGS. 1 to 8). The form is explained.

In FIG. 46, a blade-shaped machining bit generally denoted by T-1 is composed of three blades R1 arranged at equal intervals in the circumferential direction around the rotation center VO.
R2, R3, and each of the blades R1, R2, R3 is provided with a plurality of processing chips BBC. Here, the rotation center VO of the blade-shaped machining bit T-1 is formed by connecting the vertices R1-P, R2-P, and R3-P of the blades since the blades R1 to R3 have the same length. It becomes the center of gravity of a regular triangle.

The rotation center VO is eccentric by the distance “r” with respect to the center O of the processing hole H processed by the blade-shaped processing bit T-1. Center O of machining hole H
Corresponds to the central axis of the processing rod 60 of the boring machine indicated by reference numeral 100 in FIG. In other words, the blade-shaped machining bit T-1 has its rotation center V
-O revolves while revolving on a circle separated by a distance "r" from the center axis O of the processing rod 60 of the boring machine indicated by reference numeral 100 in FIG.

In the embodiment shown in FIGS. 46 and 47, when the angular speed at which the blade-like processing bit T-1 rotates is “ω”, the processing rod 60 (or
Around the center O) of the processing hole H, a blade-like processing bit T
The angular velocity at which −1 revolves is “(1-N) ω”. Further, as described 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 machining hole H (or the central axis of the machining rod 60) is “r”. However, the rotation center V-
From O, the tips R1-P, R of the blades R1, R2, R3
The distances to 2-P and R3-P are set to be "(N-1) 2r". As a result, the sweep range of the blade-like processing bit T-1, that is, the processing bit T
The cross-sectional shape of the processing hole H processed at −1 is a radius “N (N
-2) A square shape circumscribing the circle "r".

Other configurations and operational effects in the embodiment of FIGS. 46 and 47 are described with reference to FIGS.
This is the same as the embodiment.

Further, similarly to FIGS. 46 and 47, a cutter or processing bit P-1 having a cross-sectional shape composed of five rods connected at the center as shown in FIG.
By rotating and revolving as described in FIGS. 22 to 25,
In the same manner as a cutter having a shape indicated by a dotted line in FIG. 48 (a regular triangular cutter: reference symbol “P” in FIGS. 22 to 25), a square (regular square) processing hole can be processed.

In the above description of each embodiment, the processing of the regular N-sided processing hole is performed by rotating (N−1) blade-shaped processing bits or jets in the direction opposite to the revolution or (N + 1). An example has been shown in which a blade-shaped machining bit or jet of this book is machined by rotating in the same direction as the revolution. However, even when the number of blade-like bits or jets is (N-1) or less, or (N + 1) or less, it is possible to similarly process a regular N-shaped hole.
At this time, each of these bits or jets needs to be provided toward the apex angle of a regular (N-1) square or a regular (N + 1) square.

FIGS. 49 and 50 show an (N-1) square machining bit (FIG. 49) or a jet (FIG. 50) which is used for machining a regular N square hole. This is an embodiment in which a bit or a jet is added. That is, in FIG.
Is processed by a processing bit T having a regular triangular shape, and a sub-bit T shifted by 60 °
a is provided and construction is performed. In the processing by the jet shown in FIG. 50, the main jets J1 to J1 at equal intervals (120 °) are used.
Secondary jets Ja1 to Ja3 are provided between J3 and constructed.

The above-described embodiments have been described by way of example only and are not intended to limit the technical scope of the present invention. For example, in the illustrated embodiment, a case in which a processing hole having a regular square or pentagonal cross section is mainly processed has been described. Also, the present invention can be widely applied. Also, not only lumpy work,
The present invention can be applied to a case where a processing hole is formed in a very hard plate-shaped member or the like, or to a case where various base materials are formed by cutting, grinding, or abrasive jet. It is noted that the present invention can be variously modified and changed.

[0087]

According to the present invention constructed as described above, it is possible to meet a conventionally impossible demand for machining a regular N-sided machining hole, and furthermore, to implement or construct the hole. Is easy. The present invention can be applied not only to machining of holes in a workpiece but also to various types of machining.

[Brief description of the drawings]

FIG. 1 is a diagram for explaining the knowledge (A) that is the basis of the present invention, taking creation of a square hole as an example.

FIG. 2 is a view for explaining creation of the processing of 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 the tip of the rotating machining bit shown in FIGS. 1 to 7 by an envelope.

FIG. 9 is a plan view for explaining knowledge (C) by processing a pentagonal hole.

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

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

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

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

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

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

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

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

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

FIG. 19 is a sectional view schematically showing one process of cutting.

FIG. 20 is a sectional view schematically showing one process of cutting.

FIG. 21 is a sectional view schematically showing one process of cutting.

FIG. 22 illustrates cutting 1 according to still another embodiment of the present invention.
Sectional drawing which shows a process typically.

FIG. 23 is a sectional view schematically showing one process of the processing shown in FIG. 22;

FIG. 24 is a sectional view schematically showing one process that has proceeded from FIG. 23;

FIG. 25 is a sectional view schematically showing one process that has proceeded from FIG. 24;

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 a cross-sectional shape of a processed hole processed according to another embodiment of the present invention.

FIG. 33 is a plan view showing a cross-sectional shape of a processed hole processed according to another embodiment of the present invention.

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

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

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

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

FIG. 38 is a plan view showing an example of a heptagonal hole according to still another embodiment of the present invention.

FIG. 39 is a plan view showing an example of an octagonal hole according to still another embodiment of the present invention.

FIG. 40 is a plan view showing an example of a square hole according to still another embodiment of the present invention.

FIG. 41 is a plan view showing an example in which the ratio between the revolution radius and the distance from the rotation center to the tip is changed from FIG. 40;

FIG. 42 is a plan view showing another example in which the ratio of the revolution radius and the distance from the rotation center to the tip is changed from that of FIG. 40;

FIG. 43 is a plan view showing an example of a hexagonal hole according to still another embodiment of the present invention.

44 is a plan view showing an example in which the ratio between the revolution radius and the distance from the rotation center to the tip is changed from that in FIG.

FIG. 45 is a plan view showing another example in which the ratio between the revolution radius and the distance from the rotation center to the tip is changed from that in FIG. 43;

FIG. 46 is a plan view showing a blade-like processing bit used in an embodiment of the machining apparatus of the present invention.

47 is a front sectional view showing a state in which a processing hole is processed by using the blade-like processing bit shown in FIG. 46;

FIG. 48 is a view showing an example of shape variables of a blade-like machining bit.

FIG. 49 is a plan view showing an embodiment in which a secondary processing bit is provided.

FIG. 50 is a plan view showing an embodiment provided with a secondary jet.

FIG. 51 shows a tunnel with a circular cross section.

FIG. 52 is a view showing a tunnel having a rectangular cross section.

FIG. 53 is a view showing a case where the construction is performed by circular machining in conventional machining.

FIG. 54 is a diagram showing a case where the entire ground processing is performed by hexagonal processing.

[Explanation of symbols]

 H: machining hole O: machining (hole) center R: orbit circle T, P, T-1 ... cutter (machining bit) G: machining center of gravity r: orbit circle Radius θ: (revolution) rotation angle φ, ψ: processing means (rotation) rotation angle

Claims (12)

[Claims] 1. A machining method for machining a processing hole having a horizontal cross-sectional shape of an N-vertical shape having N apex angles,
While revolving a machining bit having a regular (N-1) square contour on the circumference of a radius "r" concentric with the center of the machining hole,
The regular (N-1) square machining bit has a contour inscribed in a circle having a radius of (N-1) 2r, and is rotated at an angular velocity "ω". A machining method wherein the revolution angular velocity of a shape processing bit is “(1-N) ω”. 2. A machining method for machining a processing hole having a horizontal cross-sectional shape of a substantially N-sided shape having N apex angles,
While revolving a processing bit having a regular (N + 1) square contour on the circumference of radius “r” concentric with the center of the processing hole,
The regular (N + 1) square machining bit has a contour inscribed in a circle having a radius of ((N + 1) 2 r), and is rotated at an angular velocity “ω”. A machining method, wherein the revolution angular velocity of a bit is “(N + 1) ω”. 3. A machining method for machining a machining hole having an N-vertical shape and a cross section of a substantially N-sided shape, wherein "N-1" or less blades are radially arranged on a rod. Using a blade-like machining bit, a rod of the blade-like machining bit is provided radially spaced from a machining rod coaxial with a center line of a machining hole to be machined, and the blade-like machining bit is centered on the rod. When the angular velocity at which the blade-shaped processing bit rotates around the processing rod is “ω”, the processing bit is rotated around the processing rod. The angular velocity of revolving is “(1-N) ω”. 4. A machining method for machining a machining hole having a cross section of a substantially N-sided shape having a number of N apex angles, wherein a blade is formed by radially arranging "N + 1" or less blades on a rod. Using a machining bit, the rod of the blade-like machining bit is radially spaced from a machining rod coaxial with the center line of the machining hole to be machined, and the blade-like machining bit rotates around the rod. While the blade-shaped processing bit revolves around the processing rod when the angular velocity at which the blade-shaped processing bit rotates around the processing rod is “ω”. The angular velocity to be performed is “(N + 1) ω”. 5. A machining method for machining a machined hole having an N-vertical shape and a cross section of a substantially N-sided shape, comprising: a machining rod coaxial with a center line of the machined hole to be machined; A processing monitor provided on the rod and configured to rotate around the periphery thereof, and "N" provided at a peripheral portion of the processing monitor and injecting the processing fluid in the radial direction while rotating around the monitor. −1 ”or less nozzles, and the angular velocity at which the nozzle rotates around the monitor is“ ω ”.
Wherein the angular velocity at which the monitor rotates around the processing rod is “(1-N) ω”. 6. A machining method for machining a machined hole having an N-vertical angle and a substantially N-sided cross-sectional shape, comprising: a machining rod coaxial with a center line of the machined hole to be machined; A processing monitor provided on a rod and configured to rotate around the periphery of the processing monitor; and a processing monitor provided on a peripheral portion of the processing monitor and rotating around the monitor to eject a processing fluid in a radial direction. The number of nozzles is equal to or less than the number of nozzles, and the angular velocity at which the nozzles rotate around the monitor is “ω”.
Wherein the angular velocity at which the monitor rotates around the processing rod is “(N + 1) ω”. 7. A machining apparatus for machining a processing hole having a horizontal cross-sectional shape of N regular apex angles having N apex angles, comprising: a regular (N-1) square machining bit; The bit has a contour inscribed in a circle having a radius of (N-1) 2 r, and revolves at an angular velocity “ω” while revolving around a circle having a radius “r” concentrically with the center of the processing hole. The revolution angular velocity is "(1
-N) ω ". 8. A machining apparatus for machining a machining hole having a number N of apex angles and a horizontal cross-sectional shape of a regular N-gon shape, comprising: a machining bit having a regular (N + 1) square shape; It has a contour inscribed in a circle of radius “(N + 1) 2 r”, and revolves around the circumference of radius “r” concentrically with the center of the processing hole while rotating at an angular velocity “ω”. Is a machining device configured to be "(N + 1) ω". 9. A machining apparatus for machining a processing hole having a cross section of a substantially N-sided shape having a number of N apex angles, wherein a processing rod coaxial with the center line of the processing hole to be processed, and N-1 "or less blades are arranged radially, and the blade-shaped machining bit has a rod that is radially separated from the machining rod. And, when the angular speed at which the blade-shaped processing bit rotates around the rod is “ω”, the processing bit is rotated around the processing rod. The angular velocity of revolving is “(1-N) ω”. 10. A machining apparatus for machining a processing hole having a cross-sectional shape of an N-vertical shape with N apex angles, wherein a processing rod coaxial with the center line of the processing hole to be processed and And (N + 1) or less blades are arranged radially and have a blade-like machining bit, and the rod of the blade-like machining bit is radially separated from the machining rod and provided. When the angular speed at which the blade-shaped processing bit rotates around the rod is “ω”, the processing bit revolves around the processing rod. The angular velocity to be performed is “(N + 1) ω”. 11. A machining apparatus for machining a processing hole having a cross section of a substantially N-sided shape having N apex angles, comprising: a processing rod coaxial with a center line of the processing hole to be processed; A processing monitor provided on the rod and configured to rotate around the periphery thereof, and "N" provided at a peripheral portion of the processing monitor and injecting the processing fluid in the radial direction while rotating around the monitor. -1 "or less nozzles,
A machine characterized in that 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". Processing equipment. 12. A machining apparatus for machining a processing hole having a cross section of a regular N-sided polygon having N apex angles, comprising: a processing rod coaxial with a center line of the processing hole to be processed; A processing monitor provided on a rod and configured to rotate around the periphery of the processing monitor; and a processing monitor provided on a peripheral portion of the processing monitor and rotating around the monitor to eject a processing fluid in a radial direction. And the following nozzles, and the angular velocity at which the nozzle rotates around the monitor is “ω”
Wherein the angular velocity at which the monitor rotates around the processing rod is “(N + 1) ω”.