KR20120060332A - Post Processing Method for Rough Machining of Drum Cam with Rotational Followers using 5-Axis CNC Machine - Google Patents

Post Processing Method for Rough Machining of Drum Cam with Rotational Followers using 5-Axis CNC Machine Download PDF

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KR20120060332A
KR20120060332A KR1020100121784A KR20100121784A KR20120060332A KR 20120060332 A KR20120060332 A KR 20120060332A KR 1020100121784 A KR1020100121784 A KR 1020100121784A KR 20100121784 A KR20100121784 A KR 20100121784A KR 20120060332 A KR20120060332 A KR 20120060332A
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South Korea
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axis
drum cam
rotation
axis cnc
machine
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KR1020100121784A
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Korean (ko)
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KR101200171B1 (en
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조현덕
정태호
백대균
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경일대학교산학협력단
대영코어텍(주)
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    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B23—MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
    • B23Q—DETAILS, COMPONENTS, OR ACCESSORIES FOR MACHINE TOOLS, e.g. ARRANGEMENTS FOR COPYING OR CONTROLLING; MACHINE TOOLS IN GENERAL CHARACTERISED BY THE CONSTRUCTION OF PARTICULAR DETAILS OR COMPONENTS; COMBINATIONS OR ASSOCIATIONS OF METAL-WORKING MACHINES, NOT DIRECTED TO A PARTICULAR RESULT
    • B23Q15/00—Automatic control or regulation of feed movement, cutting velocity or position of tool or work
    • B23Q15/20—Automatic control or regulation of feed movement, cutting velocity or position of tool or work before or after the tool acts upon the workpiece
    • B23Q15/22—Control or regulation of position of tool or workpiece
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B23—MACHINE TOOLS; METAL-WORKING NOT OTHERWISE PROVIDED FOR
    • B23Q—DETAILS, COMPONENTS, OR ACCESSORIES FOR MACHINE TOOLS, e.g. ARRANGEMENTS FOR COPYING OR CONTROLLING; MACHINE TOOLS IN GENERAL CHARACTERISED BY THE CONSTRUCTION OF PARTICULAR DETAILS OR COMPONENTS; COMBINATIONS OR ASSOCIATIONS OF METAL-WORKING MACHINES, NOT DIRECTED TO A PARTICULAR RESULT
    • B23Q15/00—Automatic control or regulation of feed movement, cutting velocity or position of tool or work
    • B23Q15/20—Automatic control or regulation of feed movement, cutting velocity or position of tool or work before or after the tool acts upon the workpiece
    • B23Q15/22—Control or regulation of position of tool or workpiece
    • B23Q15/26—Control or regulation of position of tool or workpiece of angular position
    • G—PHYSICS
    • G05—CONTROLLING; REGULATING
    • G05B—CONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B2219/00—Program-control systems
    • G05B2219/30—Nc systems
    • G05B2219/33—Director till display
    • G05B2219/33098—Several nc machines, dnc, cnc

Abstract

PURPOSE: A post-treatment method for rough cutting of a drum cam using a 5-axis CNC(Computer Numerical Control) machine is provided to perform a precious and accurate a rough cutting by accurately setting a machining path of a tool because mechanical characteristics and structural characteristics of a 5-axis CNC machine are reflected. CONSTITUTION: A post-treatment method for rough cutting of a drum cam using a 5-axis CNC machine is as follows. An angle diagram is defined because the angle diagram with respect to a groove of a drum cam is converted into a sine curve(S100). Structural characteristics of a 5-axis CNC are reflected(S200).

Description

Post Processing Method for Rough Machining of Drum Cam with Rotational Followers using 5-Axis CNC Machine}

The present invention relates to a post-treatment method for roughing a drum cam, and more particularly, to mechanical characteristics of a drum cam when roughing a drum cam having a plurality of rotary followers using a 5-axis CNC machining machine. And a post-processing method reflecting the structural characteristics according to the type of 5-axis CNC machining machine.

Gears and belts are used to transmit continuous rotational movements. However, when it is necessary to transfer the movements by adjusting the angle and angular velocity according to an arbitrary rotational angle, a drum cam equipped with a rotary follower is generally used. Used as

A drum cam having a rotary follower is provided with a plurality of rollers in the circumferential direction of the follower, and two rollers are operated at the same time on both sides of the inclined surface of the drum cam. Such a drum cam has almost no backlash. As it is durable in rolling contact, it is mainly used in places where precision driving is required, such as gear roller cams, index tables, and automatic tool changers (ATCs). In the case of the index table with high partitioning accuracy, even though drum cams are used in most cases, production of the index table is difficult due to the lack of 5-axis machining technology.

In order to process the drum cam having the above characteristics, a 5-axis CNC machining machine is generally used. In order to properly process the drum cam using the 5-axis CNC machining machine, the mechanical characteristics of the drum cam and the CNC machining machine Structural features must be reflected in modeling for machining operations, but these capabilities are not available in commercially available computer aided manufacturing (CAM).

Therefore, in order to process the drum cam, it is necessary to develop a dedicated program that can reflect the mechanical characteristics of the drum cam and the structural characteristics of the 5-axis CNC machining machine. For this reason, some programs have been developed and used by themselves. The shape of the tool is manufactured to fit the processing width and processed by the total form machining, which is caused by the inability to accurately implement the tool path for the index table rotation angle in 5-axis machining.

On the other hand, 5-axis CNC machining machines, unlike 3-axis CNC machines, rotate and tilt two of the three axes except the X, Y, and Z axes, which of the two axes is rotated / tilted. It is divided into three types, which includes a vertical spindle type that rotates about the C axis installed on the A axis installed horizontally as shown in Figs. 3 (a), (b) and (c) (Fig. 3). (a)), a horizontal spindle type (Fig. 3 (b)) that rotates about an A axis installed vertically on top of the B axis rotated horizontally (Fig. 3 (b)), a horizontal axis installed horizontally with the C axis rotated horizontally There is a multi-task machine type with a B-axis that tilts (Fig. 3 (c)). Therefore, even when cutting a workpiece using a 5-axis CNC machining machine, depending on which type of 5-axis CNC machining machine is used, The current machining position (n) of the tool for .

Therefore, in order to accurately determine the tool path of the 5-axis CNC machining machine, the machining data for the machining needs to be set differently according to the spindle type of the 5-axis CNC machining machine.

The present invention was developed in response to the necessity as described above, and the present invention provides a mechanical characteristic of the drum cam and the 5-axis CNC when roughing a drum cam having a plurality of rotary follower using a 5-axis CNC machining machine. The purpose is to provide a post-processing method that reflects the structural characteristics according to the spindle type of the processing machine to accurately implement the cutting path of the tool to achieve precise and accurate cutting.

An object of the present invention as described above is an angle diagram defining step for defining a post-treatment method for roughing the drum cam, by converting the angle diagram for the groove of the drum cam into a sine curve; It is achieved by including the step of reflecting the structural characteristics of the processing machine to reflect the structural characteristics of the 5-axis CNC machining machine.

In the present invention, when roughing a drum cam having a plurality of rotary follower using various types of 5-axis CNC machines, the mechanical properties of the drum cam and the structural characteristics according to the spindle type of the CNC machine are reflected to process the tool. The path can be accurately implemented, resulting in precise and accurate cutting.

In addition, the present invention provides a post-treatment method for three types of 5-axis CNC machining machines when machining drum cams with driven joints using a 5-axis CNC machining machine, and thus is easily applied to other 5-axis machining machines. Can be applied.

In addition, the roughing after-treatment method of the present invention can be applied to the finishing process as it is, as well as can easily change the cam diagram as necessary, it can be easily applied to the machining of drum cams of various shapes.

1 is a cross-sectional view of a drum cam with a rotary follower;
2 is a diagram showing a rotation angle trajectory between a drum cam and a driven joint;
FIG. 3 (a) is a view showing a five-axis CNC machining machine of a vertical spindle type that is rotated about a rotating C axis installed vertically on an A axis installed horizontally;
Figure 3 (b) is a view showing a horizontal spindle type 5-axis CNC machining machine that rotates about the B axis installed vertically to the lower portion of the A axis rotated horizontally installed,
Figure 3 (c) is a diagram showing a five-axis CNC machining machine of the multi-task machine having a horizontally installed C axis rotates, and a horizontally installed B axis for tilting,
Figure 4 (a) is a view showing the starting position of the 5-axis CNC machining machine of the vertical spindle type,
Figure 4 (b) is a view showing the working position of the five-axis CNC machining machine of the vertical spindle type,
Figure 5 (a) is a view showing the starting position of the 5-axis CNC machining machine of the horizontal spindle type,
Figure 5 (b) is a view showing the machining work position of the 5-axis CNC machining machine of the horizontal spindle type,
Figure 6 (a) is a view showing the starting position of the 5-axis CNC machining machine of the multi-task machine type,
Figure 6 (b) is a view showing the working position of the 5-axis CNC machining machine of the multi-task machine type,
7 is a flowchart showing a post-treatment method for roughing a drum cam using a 5-axis CNC according to the present invention;
8 is a graph showing a result of processing a drum cam according to an embodiment of the present invention.

Hereinafter, the configuration and the preferred embodiment of the present invention through the accompanying drawings in more detail.

1 is a cross-sectional view of a drum cam with a rotary follower, as shown in this figure, the drum cam 30 coincides with the rotational surface of the follower 10 and the roller 20 with rollers mounted on a rotating shaft. It is composed of a drum-shaped cam having a circumferential outline, in Figure 1 for biasing the shape of the drum cam 30 to one side without symmetry. And in FIG. 1

Figure pat00001
Is the diameter of the driven roller 20,
Figure pat00002
Means the processing width, this processing width (
Figure pat00003
) Is the diameter of the roller 20 (
Figure pat00004
Should be a little bigger than

In addition, as shown in FIG. 1, when the drum of the drum cam 30 is continuously rotated in the clockwise direction, the follower 10 periodically swings in the counterclockwise and clockwise directions along the cam curve. In addition, the direction of the follower roller 20 axis coincides with the direction of the tool axis when the groove of the cam curve is machined with the end mill tool.

(1) Angle diagram definition step (S100)

In order to design the groove of the drum cam 30, first, an angle diagram of the rotation angle of the drum and the driven joint 10 should be given. In general, such an angle diagram is composed of a combination of straight lines. In this step, the angle diagram is converted into a sine curve and generalized.

When the angle line diagram of the groove of the drum cam is defined as a straight line combined with a horizontal line and an inclined surface as shown in FIG. 2, this may be expressed by Equation 1 below.

[Equation 1]

Figure pat00005

here

Figure pat00006
Is the rotation angle of the driven joint,
Figure pat00007
Is the rotation angle of the drum.

On the other hand, it can be assumed that the control of the movement speed on the inclined surface does not affect the function. Accordingly, in the present invention, the angle diagram defined by Equation 1, which is a combination of straight lines, is represented as shown in Equation 2 below. Define it by converting it to a curve.

[Equation 2]

Figure pat00008

here,

Figure pat00009
Is the rotation angle of the follower,
Figure pat00010
Is the rotation angle of the drum
Figure pat00011
.
Figure pat00012
,
Figure pat00013
,
Figure pat00014
,
Figure pat00015
Denotes points A, B, C, D and E in FIG. 2 in that order and is 1, 2, 3, 4, and 5, respectively.

Equation 2 is established in the entire rotation section including the straight section between the AB and CD sections as well as the inclined surface section shown in Figure 2, and therefore, Equation 2 is a general equation representing the angle diagram in the entire rotation section of the drum cam In the present invention, the angle diagram defined by Equation (2) is used as basic data for calculating the tool position point for 5-axis machining.

(2) Reflecting the structural characteristics of the processing machine (S200)

In order to ensure accurate machining when machining using a 5-axis CNC machining machine, as described above, the post-processing method must reflect not only the mechanical characteristics of the drum cam but also the structural characteristics of the 5-axis CNC machining machine. In this step, the structural characteristics of the CNC machining machine are reflected.

In the industrial field, three types of five-axis CNC machining machines, vertical spindle type, horizontal spindle type, and multi-task machine type, are used.In the following, methods for reflecting the structural characteristics of the five-axis CNC machine for each type are described. Explain.

(2-1) Vertical spindle type

FIG. 3 (a) is a view showing a vertical spindle type 5-axis CNC machining machine installed vertically on a horizontally installed A axis and rotating about a rotating C-axis. In this vertical spindle type 5-axis CNC machine The machining mechanism of the drum cam can be depicted as shown in FIG.

On the other hand, in order to describe the machining mechanism when machining the drum cam using a 5-axis CNC machining machine, it is preferable to define the sign for the A, B, C axis, in the present invention, the sign for the A, B, C axis Are given according to the right-hand rule that rotates around the X, Y, and Z axes, respectively, where the tool is rotated relative to the + direction when the workpiece is rotated in the-direction.

Figure 4 (a) is a view showing the starting position of the 5-axis CNC machining machine of the vertical spindle type, Figure 4 (b) is a view showing the working position of the 5-axis CNC machining machine of the vertical spindle type, this axis In this state, the A axis of the 5-axis machining machine is used with +. The A axis is identical to the rotational direction of the follower of the drum cam.

Figure pat00016
The angle of the C axis is the rotation angle of the drum cam (
Figure pat00017
Is the opposite of)
Figure pat00018
Becomes

In addition, the position coordinates of the tool tip required for 5-axis machining can be obtained by the sum of R 1 , R 2 , and R 3 vectors, and the coordinate values thereof are expressed by Equation 3 below.

&Quot; (3) "

Figure pat00019

here

Figure pat00020
Denotes the axes of the 5-axis CNC machining machine, respectively, as shown in FIG.
Figure pat00021
Is the height of the jig,
Figure pat00022
Is the height from the end of the jig to the center of the workpiece circumference, equal to the horizontal distance from the right end of the drum cam to the center of rotation of the driven joint,
Figure pat00023
Is the height from the rotation center line of the drum cam to the driven center rotation center,
Figure pat00024
Is the length of the end of the roller from the follower center of rotation,
Figure pat00025
Is the rotation angle of the drum cam,
Figure pat00026
Is the rotation angle of the driven joint.

(2-2) Horizontal Spindle Type

Next, the machining mechanism of the drum cam in the 5-axis CNC machining machine of the horizontal spindle type as shown in Fig. 3 (b) can be represented as Fig. 5 (b), where the direction of the B axis is the -direction in the NC data. Is the + direction in the follower rotation direction, so the B-axis angle

Figure pat00027
Since the angle of the A axis is the same as the rotational direction of the drum cam,
Figure pat00028
Becomes

The position coordinates of the tool tip required for 5-axis machining can also be expressed as the sum of the vectors of R 1 , R 2 , and R 3 , and the coordinate values thereof are as shown in Equation 4 below.

&Quot; (4) "

Figure pat00029

here

Figure pat00030
Respectively represent the axes of the 5-axis CNC machining machine, as shown in Figure 5 (a),
Figure pat00031
Is the length of the jig from the center of rotation of the B axis of the 5-axis CNC machine to the right end of the workpiece,
Figure pat00032
Is the distance from the left end of the jig to the center of the workpiece circumference, which is equal to the horizontal distance from the right end of the drum cam to the follower center of rotation.
Figure pat00033
Is the height from the rotation center line of the drum cam to the driven center rotation center,
Figure pat00034
Is the length of the end of the roller from the driven center of rotation.
Figure pat00035
Is the rotation angle of the drum cam,
Figure pat00036
Is the rotation angle of the driven joint.

(2-3) Complex Processing Machine

FIG. 3 (c) is a diagram illustrating a 5-axis CNC machining machine of a multi-task machine having a horizontally installed C-axis rotating and a horizontally installed B-axis tilting, wherein NC data is a pivot point of the tool ( Pivot Point) should be set as a reference. Since the B axis direction becomes the + direction in the same way as the NC data and the driven joint rotation direction, the angle of the B axis is

Figure pat00037
C-axis direction is opposite to the rotational direction of the drum cam, so the angle of the C-axis
Figure pat00038
Becomes

The position coordinates of the tool tip necessary for 5-axis machining are R 1 and R when the position perpendicular to the rotation axis of the drum cam and the center of rotation of the driven joint is set as the machining origin of the 5-axis CNC machining machine as shown in Fig. 6 (b). It can be represented by the sum of the vectors of 2 , and thus the coordinate value can be expressed as Equation 5 below.

[Equation 5]

Figure pat00039

here

Figure pat00040
Represents the axes of the 5-axis CNC machine,
Figure pat00041
Is the height from the rotation center line of the drum cam in FIG. 1 (a) to the driven center rotation center,
Figure pat00042
Is the distance from the pivot point of the 5-axis machining machine to the tip of the tool, as in FIGS. 6 (a) and 6 (b),
Figure pat00043
Is the length of the end of the roller from the follower center of rotation,
Figure pat00044
Is the rotation angle of the drum cam,
Figure pat00045
Is the rotation angle of the driven joint.

(3) Span distance calculation step (S300)

This step is to accurately calculate the distance between the sections in order to uniformly specify the feed rate.

In 5-axis machining, since the basic length unit (BLU) for the rotation angle is degrees, the feed rate may be unexpectedly accelerated or decelerated. In the present invention, the feed rate may be uniformly rotated. Instead of using the default length unit for each angle, the distance traveled between the sections is calculated correctly.

For example, in the vertical axis type 5-axis CNC machining machine as shown in Fig. 3 (a), the position coordinates of the tool are determined by the A and C axes according to the drum cam geometric conditions, and the end center of the tool. Since the rotational angle of the A axis and the X, Y, and Z position values are determined by interlocking with the geometrical conditions of the drum cam, the machining distance ΔS A participating in the machining due to the change of ΔA is expressed by Equation 6 below, and ΔC The machining distance ΔS C by the change of is multiplied by the vertical distance between the tool tip center and the drum cam axis of rotation as ΔC as shown in FIG. 4 (b) and is represented by Equation 7 below. At this time, ΔX, ΔY, and ΔZ in the mechanical mechanism of the drum cam need not be considered because they are constrained by the geometry of the drum cam by the A and C axes.

&Quot; (6) "

Figure pat00046

here

Figure pat00047
Is
Figure pat00048
Processing distance due to
Figure pat00049
Denotes the displacement of the rotation angle of the A axis in the microsection.

[Equation 7]

Figure pat00050

here

Figure pat00051
Is
Figure pat00052
Processing distance due to
Figure pat00053
Is the displacement of the rotational angle of the C axis in the microsection,
Figure pat00054
Is the height from the rotation center line of the drum cam to the driven center rotation center,
Figure pat00055
Is the length of the end of the roller from the follower center of rotation, and A is the angle of rotation of the A axis of the 5-axis CNC machine.

In addition, the overall processing distance of the micro section

Figure pat00056
Since the directions of the rotation angle of the A-axis and the C-axis are perpendicular to each other and are minute sections, they may be set in a diagonal direction by simplifying them. And ΔX, ΔY, and ΔZ in the mechanical mechanism of the drum cam need not be considered because they are constrained by the A and C axes.

However, at the entry and exit of the drum cam curve in which the tool moves regardless of the changes in the A and C axes, the changes in X, Y, and Z must be reflected.

Figure pat00057
) Can be expressed as Equation 8 below.

[Equation 8]

Figure pat00058

here

Figure pat00059
Is the total working distance of the micro section,
Figure pat00060
Is the machining distance due to the change in ΔA,
Figure pat00061
Is
Figure pat00062
The machining distance due to changes in, is a machining distance that moves independently of A and C and is only reflected at the entry and exit of the machining.

(4) Processing speed calculation step (S400)

This step is to calculate the time it takes to process the micro-section using the distance of the micro-section calculated in the moving distance calculation step (S300) and to set the processing speed accordingly. time(

Figure pat00063
The inverse of) is expressed as Equation 9 below, and from this the feedrate f together with G93, the preparation code of the 5-axis machining machine.
Figure pat00064
In this case, a constant processing speed can be obtained.

[Equation 9]

Figure pat00065

here

Figure pat00066
Is the inverse of the time it takes to process a microsection,
Figure pat00067
Denotes the machining distance for unit time as the feed rate,
Figure pat00068
Indicates the distance of the microsection.

The inventors of the present invention is a vertical spindle type CNC machining machine (manufactured by Weasa, Korea) of the 5-axis CNC machining machine to which the post-treatment method of the present invention is applied to verify the post-treatment method of the present invention consisting of the above steps. WIA Hi-V560M / 5A) was used to rough the drum cam with the angle diagram shown in FIG. As a result, as shown in FIG. 9, the design dimension and the machining result for the cam curve were accurately matched.

As described above, according to the present invention, when roughing a drum cam having a plurality of rotary followers using a 5-axis CNC machine, the mechanical characteristics of the drum cam and structural characteristics according to the spindle type of the CNC machine are reflected. And accurate cutting can be made.

Claims (7)

In the post-treatment method for roughing a drum cam using a 5-axis CNC machining machine, the post-treatment method is
An angle diagram defining step S100 of defining an angle diagram of a groove of the drum cam by converting the angle diagram into a sine curve;
Post-processing method for roughing the drum cam using a 5-axis CNC machining machine, characterized in that it comprises; (S200) reflecting the structural characteristics of the machining machine to reflect the structural characteristics of the 5-axis CNC machining machine.
The method according to claim 1,
The angle diagram of the angle diagram defining step (S100) is a post-processing method for roughing the drum cam using a 5-axis CNC machining machine, characterized in that defined by the following equation (2).

[Equation 2]
Figure pat00069

here
Figure pat00070
Is the rotation angle of the driven joint,
Figure pat00071
Is the rotation angle of the drum,
Figure pat00072
,
Figure pat00073
,
Figure pat00074
,
Figure pat00075
,
Figure pat00076
Is the point of each section in the angle diagram of the drum cam.
The method according to claim 2,
Structural characteristics of the 5-axis CNC machining machine is a post-processing method for roughing the drum cam using a 5-axis CNC machining machine, characterized in that defined by the following equation 3 when the vertical spindle type.

[Equation 3]
Figure pat00077

here
Figure pat00078
Represents the axis of 5-axis CNC machining machine,
Figure pat00079
Is the height of the jig,
Figure pat00080
Is the height from the tip of the jig to the center of the workpiece circumference,
Figure pat00081
Is the height from the rotation center line of the drum cam to the driven center rotation center,
Figure pat00082
Is the length of the end of the roller from the follower center of rotation,
Figure pat00083
Is the rotation angle of the drum cam,
Figure pat00084
Is the rotation angle of the driven joint.
The method according to claim 2,
Structural characteristics of the 5-axis CNC machining machine is a post-processing method for roughing a drum cam using a 5-axis CNC machining machine, characterized in that the horizontal spindle type is defined by Equation 4 below.

[Equation 4]
Figure pat00085

here
Figure pat00086
Represents the axes of the 5-axis CNC machine,
Figure pat00087
Is the length of the jig from the center of rotation of the B axis of the 5-axis CNC machine to the right end of the workpiece,
Figure pat00088
Is the distance from the left end of the jig to the center of the workpiece circumference,
Figure pat00089
Is the height from the rotation center line of the drum cam to the follower rotation center, is the length of the end of the roller from the follower rotation center,
Figure pat00090
Is the rotation angle of the drum cam,
Figure pat00091
Is the rotation angle of the driven joint.
The method according to claim 2,
Structural characteristics of the 5-axis CNC machining machine is a post-processing method for roughing a drum cam using a 5-axis CNC machining machine, characterized in that defined by Equation 5 below.

&Quot; (5) "
Figure pat00092

here
Figure pat00093
Represents the axes of the 5-axis CNC machine,
Figure pat00094
Is the height from the rotation center line of the drum cam to the driven center rotation center,
Figure pat00095
Is the distance from the pivot point of the 5-axis machining machine to the tip of the tool, is the length of the end of the roller from the follower center of rotation,
Figure pat00096
Is the rotation angle of the drum cam,
Figure pat00097
Is the rotation angle of the driven joint.
The method according to claim 1,
After the step of reflecting the structural characteristics of the processing machine (S200) and the interval distance calculation step (S300) for accurately calculating the distance between the sections;
A processing speed calculation step (S400) of calculating a time taken to process the microsection using the distance of the microsection calculated in the moving distance calculation step (S300) and setting the processing speed accordingly; Post-treatment method for roughing drum cam using 5-axis CNC machining machine.
The method of claim 6,
In the interval distance calculation step (S300), the interval distance is calculated by Equation 8 below when the vertical axis type, Equation 8
Figure pat00098
And
Figure pat00099
The post-treatment method for roughing the drum cam using a 5-axis CNC machining machine, characterized in that calculated by the following equations (6) and (7).

&Quot; (6) "
Figure pat00100

here
Figure pat00101
Is the machining distance due to the change of ΔA, and ΔA is the displacement of the rotational angle of the A axis in the microsection.

&Quot; (7) "
Figure pat00102

here
Figure pat00103
Is
Figure pat00104
Processing distance due to
Figure pat00105
Is the displacement of the rotational angle of the C axis in the microsection,
Figure pat00106
Is the height from the rotation center line of the drum cam to the driven center rotation center,
Figure pat00107
Is the length of the end of the roller from the follower center of rotation, and A is the angle of rotation of the A axis of the 5-axis CNC machine.

&Quot; (8) "
Figure pat00108

here
Figure pat00109
Is the total working distance of the micro section,
Figure pat00110
Is the machining distance due to the change in ΔA,
Figure pat00111
Is the machining distance due to the change of,
Figure pat00112
Is the working distance moving independently of A and C.
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