KR101767052B1 - A processing route generation method of rotation tool, tool path-generating device, machine tool and recording medium for processing program - Google Patents

A processing route generation method of rotation tool, tool path-generating device, machine tool and recording medium for processing program Download PDF

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KR101767052B1
KR101767052B1 KR1020150085783A KR20150085783A KR101767052B1 KR 101767052 B1 KR101767052 B1 KR 101767052B1 KR 1020150085783 A KR1020150085783 A KR 1020150085783A KR 20150085783 A KR20150085783 A KR 20150085783A KR 101767052 B1 KR101767052 B1 KR 101767052B1
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South Korea
Prior art keywords
tool
rotary tool
path
axis direction
dimensional
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KR1020150085783A
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Korean (ko)
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KR20160149342A (en
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김형태
김승택
김종석
진경찬
이성호
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한국생산기술연구원
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    • 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
    • G05B19/00—Programme-control systems
    • G05B19/02—Programme-control systems electric
    • G05B19/18—Numerical control [NC], i.e. automatically operating machines, in particular machine tools, e.g. in a manufacturing environment, so as to execute positioning, movement or co-ordinated operations by means of programme data in numerical form
    • G05B19/19—Numerical control [NC], i.e. automatically operating machines, in particular machine tools, e.g. in a manufacturing environment, so as to execute positioning, movement or co-ordinated operations by means of programme data in numerical form characterised by positioning or contouring control systems, e.g. to control position from one programmed point to another or to control movement along a programmed continuous path
    • 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
    • B23Q15/007—Automatic control or regulation of feed movement, cutting velocity or position of tool or work while the tool acts upon the workpiece
    • B23Q15/013—Control or regulation of feed movement
    • 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
    • G05B19/00—Programme-control systems
    • G05B19/02—Programme-control systems electric
    • G05B19/18—Numerical control [NC], i.e. automatically operating machines, in particular machine tools, e.g. in a manufacturing environment, so as to execute positioning, movement or co-ordinated operations by means of programme data in numerical form
    • G05B19/4097—Numerical control [NC], i.e. automatically operating machines, in particular machine tools, e.g. in a manufacturing environment, so as to execute positioning, movement or co-ordinated operations by means of programme data in numerical form characterised by using design data to control NC machines, e.g. CAD/CAM
    • G05B19/4099—Surface or curve machining, making 3D objects, e.g. desktop manufacturing

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  • Manufacturing & Machinery (AREA)
  • Human Computer Interaction (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Automation & Control Theory (AREA)
  • Mechanical Engineering (AREA)
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Abstract

DETAILED DESCRIPTION OF THE INVENTION The present invention relates to a method of generating a machining path of a rotary tool capable of producing an F-theta lens without machining an optical defect through the production of an F-theta lens by precisely generating a path of a rotary tool.
A method for generating a machining path of a rotary tool according to the present invention is a method for generating a path of a rotary tool for machining a surface of an object by relatively moving a rotary tool having a cutting edge for cutting a surface of the object, A surface defining step of defining a three-dimensional surface shape of the object to be processed; A trajectory defining step of defining a three-dimensional turning trajectory of the cutting edge eccentrically positioned at an end of the rotary shaft of the rotary tool; And a tangential plane (TP1) with respect to one point (P1) of the surface shape of the object defined in the surface definition step and a tangential plane (TP2) with respect to a contact point (P2) And generating a path of movement of the rotary tool such that the normal N1 to the point P1 and the normal N2 to the contact point P2 coincide with each other, .

Description

BACKGROUND OF THE INVENTION 1. Field of the Invention [0001] The present invention relates to a method of generating a path of a rotary tool, a tool path generating apparatus, a machine tool,

The present invention relates to a method of generating a path of a rotary tool, a tool path generating apparatus, a machine tool and a recording medium, and more particularly, to a method of manufacturing a path of a rotary tool by precisely generating a path of a rotary tool, , A method of generating a path of a rotary tool capable of producing an F-theta lens without an optical defect, a tool path generating apparatus, a machine tool and a recording medium.

Generally, a laser scanning unit refers to a device that generates a predetermined laser beam in accordance with an input signal, and images the generated beam on a photosensitive drum.

The laser scanning unit is used in, for example, a laser printer, a copying machine, and a multifunction peripheral, which reproduces an image by transferring a latent image formed on a photosensitive drum onto a medium such as paper. In recent years, .

FIG. 1 is a conceptual diagram schematically showing the configuration of a general laser scanning unit. FIG. 1 is a schematic view showing a configuration of a laser scanning unit, which includes a laser diode 11, a collimator lens 13, a cylindrical lens 15, a polygon mirror 23 A scanning mirror 25 for driving a polygon mirror, an F-theta lens 20, an imaging reflection mirror 18, a horizontal synchronizing mirror 12, and a photosensor 14.

The laser diode 11 emits a laser beam as a light source.

The collimator lens 13 converts the laser beam emitted from the laser diode 11 into parallel light with respect to the optical axis.

The cylinder lens 15 converts parallel light through the collimator lens 13 into linear fluorescent light in the horizontal direction with respect to the sub scanning direction.

The polygon mirror 23 moves the linearly polarized light in the horizontal direction through the cylinder lens 15 to the isosceles and scans them.

The polygon mirror driving scanning motor 25 rotates the polygon mirror 23 at a constant speed.

The F-theta lens 20 has a constant refractive index with respect to the optical axis and refracts the light of constant velocity reflected by the polygon mirror 23 in the main scanning direction and corrects the aberration to focus on the scanning surface.

The image-forming reflection mirror 18 reflects the laser beam through the F-theta lens 20 in a predetermined direction and forms a latent image on the surface of the photosensitive drum 16 as an image-forming surface.

The horizontal synchronizing mirror 12 reflects the laser beam through the F-theta lens 20 in the horizontal direction.

The optical sensor 14 receives the laser beam reflected by the horizontal synchronizing mirror 12 and synchronizes the laser beam.

Meanwhile, the F-theta lens 20 provided in the laser scanning unit 30 constructed as described above is generally injection-molded with a plastic such as an optical resin for productivity improvement and cost reduction.

However, since most of the conventional F-theta lenses are formed by injection molding, there are problems in that the physical properties of the parts are changed due to unevenness in temperature in the mold structure, or the shape is deformed due to cooling after injection.

In other words, it is necessary to keep a high mold temperature uniformly when molding a molded article in a mold structure. However, in reality, since the temperature of one side of the mold is high and the temperature gradually decreases toward the opposite side, The physical properties of the seta lens are changed, and optical defects of the lens occur due to the change of the physical properties.

In addition, since deformation also causes optical defects, it is practically inevitable to find a cooling condition that minimizes deformation by trial and error.

Registration No. 10-1317407 (Registration date October 04, 2013)

It is an object of the present invention to solve the above-mentioned problems in the prior art, and it is an object of the present invention to produce an F-theta lens without optical defects through the fabrication of an F- A tool path generating device, a machine tool, and a recording medium.

According to another aspect of the present invention, there is provided a method of generating a path of a rotary tool, the method comprising the steps of: rotating a rotary tool having a cutting edge for cutting a surface of the object relative to the object, A path generation method comprising: a surface defining step of defining a three-dimensional surface shape of a workpiece to be machined; A trajectory defining step of defining a three-dimensional turning trajectory of the cutting edge eccentrically positioned at an end of the rotary shaft of the rotary tool; And a tangential plane (TP1) with respect to one point (P1) of the surface shape of the object defined in the surface definition step and a tangential plane (TP2) with respect to a contact point (P2) And a path generating step of generating a path of movement of the rotary tool so as to coincide with each other.

According to another aspect of the present invention, there is provided a method of generating a path of a rotary tool, the method comprising the steps of: rotating a rotary tool having a cutting edge for cutting a surface of the object relative to the object, A path generation method comprising: a surface defining step of defining a three-dimensional surface shape of a workpiece to be machined; A trajectory defining step of defining a three-dimensional turning trajectory of the cutting edge eccentrically positioned at an end of the rotary shaft of the rotary tool; And a normal line N1 to a point P1 of the surface shape of the object defined in the surface definition step and a normal line N2 to a contact point P2 of the three-dimensional rotation locus tangent to the point P1 And a path generating step of generating a path of movement of the rotary tool so as to coincide with each other.

Preferably, the object to be processed is an f-theta lens.

Preferably, the three-dimensional surface shape of the F-theta lens can be determined by equation (1).

[Equation 1]

Figure 112015058529380-pat00001

(Where each is defined as follows)

-

Figure 112015058529380-pat00002

-

Figure 112015058529380-pat00003
: Radius of curvature in the X-axis direction

-

Figure 112015058529380-pat00004
: Radius of curvature in the Y-axis direction

-

Figure 112015058529380-pat00005
: Conic coefficient in the X-axis direction

-

Figure 112015058529380-pat00006
: Conic coefficient in the Y-axis direction

-

Figure 112015058529380-pat00007
: Aspherical coefficient

-

Figure 112015058529380-pat00008
: Surface coordinates of the lens

Preferably, the cutting edge is a fly cutter, and the three-dimensional rotation locus of the fly cutter can be determined by the following equation (2).

&Quot; (2) "

Figure 112015058529380-pat00009

(Where each is defined as follows)

-

Figure 112015058529380-pat00010
: Surface coordinates of the lens

-

Figure 112015058529380-pat00011
: Movement coordinates of rotary tool

-

Figure 112015058529380-pat00012
: Distance from the rotational axis of the rotary tool to the center of the circle formed by the ply cutter

-

Figure 112015058529380-pat00013
: The radius of the circle formed by the cutting edge of the rotary tool

Preferably, the movement coordinates of the rotary tool may be determined by the following formulas (3) to (5).

&Quot; (3) "

Figure 112015058529380-pat00014

(Where the convexity and concavity of the lens surface and the + or - sign are determined according to the relative coordinates between the rotating tool and the lens)

&Quot; (4) "

Figure 112015058529380-pat00015

&Quot; (5) "

Figure 112015058529380-pat00016

(Where each is defined as follows)

-

Figure 112015058529380-pat00017
: Surface coordinates of the lens

-

Figure 112015058529380-pat00018
: Movement coordinates of rotary tool

-

Figure 112015058529380-pat00019
: Distance from the rotational axis of the rotary tool to the center of the circle formed by the ply cutter

-

Figure 112015058529380-pat00020
: The radius of the circle formed by the cutting edge of the rotary tool

-

Figure 112015058529380-pat00021

only,

Figure 112015058529380-pat00022

-

Figure 112015058529380-pat00023

-

Figure 112015058529380-pat00024

only,

Figure 112015058529380-pat00025

-

Figure 112015058529380-pat00026
: Conic coefficient in the X-axis direction

-

Figure 112015058529380-pat00027
: Conic coefficient in the Y-axis direction

Preferably, the coordinate system of the rotary tool may be determined by: " (6) "

&Quot; (6) "

Figure 112015058529380-pat00028

(Where each is defined as follows)

-

Figure 112015058529380-pat00029
: Surface coordinates of the lens

-

Figure 112015058529380-pat00030
: Movement coordinates of rotary tool

-

Figure 112015058529380-pat00031
: Deviation between the coordinate system of the tool unit and the coordinate system of the lens

- each component of the direction conversion matrix composed of a11 to a33 is configured to have one of 0, 1, and -1, and 1 and -1 are not arranged in a row and a column in a manner of overlapping. That is, the direction conversion matrix is composed of three components having a value of 1 or -1 and six components having a value of 0

According to an aspect of the present invention, there is provided a tool path generating apparatus for generating a tool path for machining a surface of an object by a rotary tool having a cutting edge for cutting a surface of the object, A surface setting unit for setting a three-dimensional surface shape of the object to be processed; A tool setting unit for setting a three-dimensional rotation locus of the cutting edge eccentrically positioned at an end of the rotary shaft of the rotary tool; And a tangential plane TP2 with respect to a point P1 of the surface shape of the object to be set in the surface setting unit and a tangential plane TP2 with respect to the contact point P2 of the three- And a path generating unit for generating a path of movement of the rotary tool so that the rotary tool and the rotary tool coincide with each other.

According to an aspect of the present invention, there is provided a tool path generating apparatus for generating a tool path for machining a surface of an object by a rotary tool having a cutting edge for cutting a surface of the object, A surface setting unit for setting a three-dimensional surface shape of the object to be processed; A tool setting unit for setting a three-dimensional rotation locus of the cutting edge eccentrically positioned at an end of the rotary shaft of the rotary tool; And a normal N2 to a point P1 of the surface shape of the object to be processed set in the surface setting unit and a contact point P2 of the three-dimensional rotational locus tangent to the point P1, And a path generating unit for generating a path of movement of the rotary tool so that the rotary tool and the rotary tool coincide with each other.

According to an aspect of the present invention, there is provided a machine tool for machining a surface of an object to be machined by a rotary tool having a cutting edge for cutting a surface of the object, A tool setting unit for setting a three-dimensional rotation locus of the cutting edge eccentrically positioned at the end of the rotary shaft of the rotary tool, a tool setting unit for setting a three- And a path generation section for generating a movement path of the rotary tool so that the normal line N1 and the normal line N2 to the contact point P2 of the three- A path generating device; And a machine body for moving the workpiece relative to the workpiece while rotating the rotary tool along a tool path generated by the toolpath generating device, and for machining a surface of the workpiece.

According to an aspect of the present invention, there is provided a machine tool for machining a surface of an object to be machined by a rotary tool having a cutting edge for cutting a surface of the object, A tool setting unit for setting a three-dimensional rotation locus of the cutting edge eccentrically positioned at the end of the rotary shaft of the rotary tool, a tool setting unit for setting a three- And a path generating section for generating a moving path of the rotary tool so that the tangential plane TP1 of the rotary tool and the tangential plane TP2 of the three-dimensional rotary locus are tangent to each other, A path generating device; And a machine body for moving the workpiece relative to the workpiece while rotating the rotary tool along a tool path generated by the toolpath generating device, and for machining a surface of the workpiece.

A computer-readable recording medium on which a program for executing the above-described method of generating a path of a rotary tool is recorded.

The present invention as described above has an advantage that an F-theta lens can be fabricated through a cutting process by precisely generating a path of a rotary tool, thereby making it possible to manufacture an F-theta lens without an optical defect.

1 is a conceptual diagram schematically showing a configuration of a general laser scanning unit.
2 is a perspective view illustrating an example of an F-theta lens as an object to be processed according to an embodiment of the present invention.
3 is a perspective view showing a processing point of an F-theta lens as an object to be processed according to an embodiment of the present invention.
4 is a perspective view showing a contact point of a three-dimensional rotation locus in contact with a processing point of the F-theta lens according to the embodiment of the present invention.
5 is a perspective view showing a state in which a three-dimensional rotation locus of an eccentrically located cutting edge is contacted with an end of a rotary shaft of an F-theta lens and a rotary tool to be machined according to an embodiment of the present invention.

The present invention may be embodied in many other forms without departing from its spirit or essential characteristics. Accordingly, the embodiments of the present invention are to be considered in all respects as merely illustrative and not restrictive.

The terms first, second, etc. may be used to describe various components, but the components should not be limited by the terms.

The terms are used only for the purpose of distinguishing one component from another. For example, without departing from the scope of the present invention, the first component may be referred to as a second component, and similarly, the second component may also be referred to as a first component.

And / or < / RTI > includes any combination of a plurality of related listed items or any of a plurality of related listed items.

It is to be understood that when an element is referred to as being "connected" or "connected" to another element, it may be directly connected or connected to the other element, .

On the other hand, when an element is referred to as being "directly connected" or "directly connected" to another element, it should be understood that there are no other elements in between.

The terminology used in this application is used only to describe a specific embodiment and is not intended to limit the invention. The singular expressions include plural expressions unless the context clearly dictates otherwise.

In the present application, the terms "comprises", "having", "having", and the like are intended to specify the presence of stated features, integers, steps, operations, components, Steps, operations, elements, components, or combinations of elements, numbers, steps, operations, components, parts, or combinations thereof.

Unless defined otherwise, all terms used herein, including technical or scientific terms, have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs.

Terms such as those defined in commonly used dictionaries are to be interpreted as having a meaning consistent with the contextual meaning of the related art and are to be interpreted as either ideal or overly formal in the sense of the present application Do not.

Hereinafter, preferred embodiments of the present invention will be described in detail with reference to the accompanying drawings, wherein like or corresponding elements are denoted by the same reference numerals, and a duplicate description thereof will be omitted.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS Hereinafter, the present invention will be described in detail with reference to the accompanying drawings.

A method of generating a path of a rotary tool according to an embodiment of the present invention is a method of generating a path of a rotary tool by moving a rotary tool having a cutting edge for cutting a surface of the object 100 relative to the object 100, In a direction perpendicular to the rotational direction of the rotary tool.

Specifically, the method for generating a path of a rotary tool according to the present embodiment includes: a surface defining step (S100) of defining a three-dimensional surface shape to be machined of the object to be processed (100) A trajectory defining step S200 for defining a three-dimensional turning trajectory of the cutting edge and a tangential plane TP1 for a point P1 of the surface shape of the object 100 defined in the surface defining step S100, The tangential plane TP2 with respect to the contact point P2 of the three-dimensional rotation locus tangent to the one point P1 coincides with each other or the tangent plane TP2 with respect to the normal line N1 to the one point P1 and the contact point P2 And a path creating step (S300) of creating a path of movement of the rotary tool so that the normal lines (N2) coincide with each other.

First, the surface definition step S100 will be described.

The surface defining step S100 is a step of defining a three-dimensional surface shape 100a of the object to be processed 100a.

The object to be processed 100 may be an F-theta lens 100, and the F-theta lens 100 may be a three- The dimension surface shape 100a can be determined by the biconic-Zernike formula shown in Equation (1) below.

[Equation 1]

Figure 112015058529380-pat00032

(only,

Figure 112015058529380-pat00033
,
Figure 112015058529380-pat00034
: Radius of curvature in the X-axis direction,
Figure 112015058529380-pat00035
: Radius of curvature in the Y-axis direction,
Figure 112015058529380-pat00036
: Conic coefficient in the X-axis direction,
Figure 112015058529380-pat00037
: Conic coefficient in the Y-axis direction,
Figure 112015058529380-pat00038
: Aspherical surface coefficient)

In Equation (1), the left side

Figure 112015058529380-pat00039
Is a z-axis coordinate value defining a three-dimensional surface shape 100a of the F-theta lens 100 and is a z-axis coordinate value when the x-axis coordinate value is 'x' and the y-axis coordinate value is 'y' Is set to 'z', and each axis can be defined as shown in FIG.

For example, (x1, y1, z1), (x2, y2, z2), ... The three-dimensional surface shape 100a of the F-theta lens 100 can be defined by three-dimensional coordinates (x, y, z) defined by the above-mentioned expression (1)

As described above, the three-dimensional surface shape 100a of the object to be processed 100a, that is, the three-dimensional surface shape 100a of the F-theta lens 100, The surface shape 100a can be defined.

Next, the locus definition step S200 will be described.

The locus definition step S200 is a step of defining a three-dimensional rotation locus 200 of the cutting edge eccentrically positioned at the end of the rotary shaft of the rotary tool.

In the method of generating a path of a rotary tool according to an embodiment of the present invention, the cutting edge may be a fly cutter, and the three-dimensional rotation locus 200 of the fly cutter may be expressed by the following equation (2) Lt; / RTI >

&Quot; (2) "

Figure 112015058529380-pat00040

only,

Figure 112015058529380-pat00041
: Distance from the rotational axis of the rotary tool to the center of the circle formed by the fly cutter,
Figure 112015058529380-pat00042
: The radius of the circle formed by the cutting edge of the rotary tool, see Figure 4)

(X, y, z) representing the three-dimensional surface shape 100a of the F-theta lens 100 defined in the surface definition step S100 ,

Figure 112015058529380-pat00043
(X, y, z) representing the three-dimensional surface shape 100a of the F-theta lens 100. The coordinates of the center point of the fly-
Figure 112015058529380-pat00044
And is a moving coordinate of a rotating tool for machining the surface of the F-theta lens 100. [

Specifically, the three-dimensional rotation locus 200 of the fly cutter has a shape of a torus as shown in FIG. 4, and the three-dimensional rotation locus 200 of the fly-cutter having a torus shape is represented by [ 1] can be defined.

[Formula 1]

Figure 112015058529380-pat00045

The three-dimensional rotation locus 200 of the flyer cutter defined by the above-mentioned [Expression 1] does not consider the surface coordinates of the F-theta lens 100, The fly-cutter 100 processes the surface of the F-cutter 100 as the fly-cutter comes into contact with one point P2 of the three-dimensional rotation locus 200, The rotation locus 200 is defined by the above-mentioned expression (2).

That is, one point of the three-dimensional rotation locus 200 of the fly cutter comes into contact with one point (x, y, z) of the surface of the F-theta lens 100 that is processed, If the movement coordinates of the rotary tool, which is the center point,

Figure 112015058529380-pat00046
), And is defined by Equation (2).

On the other hand, in the case of a rotary tool, the fly-cutter is provided with a machined surface of a fan-shaped portion as a part of the fly-cutter, and the three-dimensional rotation locus (200) may be formed.

Next, the path generation step (S300) will be described.

The path creating step S300 may include a tangential plane TP1 to one point P1 of the surface shape of the object 100 defined in the surface defining step S100 and a tangent plane TP1 to the point P1 The tangential plane TP2 to the contact point P2 of the dimensional rotation locus 200 coincides with each other or the normal line N1 to the point P1 and the normal line N2 to the contact point P2 coincide with each other The moving path of the rotary tool is generated.

Here, the normal N1 to one point P1 of the surface shape of the object 100 defined in the surface definition step S100 and the normal N1 of the three-dimensional rotation locus 200 tangent to the point P1 The fact that the normals N2 to the contact point P2 coincide with each other means that the tangent plane with respect to the point P1 and the tangent plane with respect to the contact point P2 coincide with each other.

Therefore, by using the above-mentioned equations (1) and (2), the equation (1) is derived so that the tangent plane with respect to the point P1 and the tangent plane with respect to the contact point P2 coincide with each other, The normal line N1 to the contact point P2 and the normal line N2 to the contact point P2 can be made to coincide with each other.

In Equation (1) above,

Figure 112015058529380-pat00047
, ≪ / RTI &
Figure 112015058529380-pat00048
Is replaced with v,
Figure 112015058529380-pat00049
Is given by w, we obtain [Equation 2] as follows.

[Formula 2]

Figure 112015058529380-pat00050

Here, if u, v, and w are differentiated with respect to x and y respectively, the following Equation 3 is obtained.

[Formula 3]

Figure 112015058529380-pat00051

Figure 112015058529380-pat00052

Figure 112015058529380-pat00053

Further, if [Expression 2] is partially differentiated with respect to x and y, the following Expression 4 is obtained.

[Formula 4]

Figure 112015058529380-pat00054

Figure 112015058529380-pat00055

here,

Figure 112015058529380-pat00056
The following equation (5) is obtained.

[Formula 5]

Figure 112015058529380-pat00057

Figure 112015058529380-pat00058

That is, the tangent plane with respect to one point P1 of the surface shape of the object to be processed 100 defined in the surface definition step S100 can be defined by [Formula 5].

Equation (2) can be summarized as Equation (6) below.

[Formula 6]

Figure 112015058529380-pat00059

Here, if [Expression 6] is differentiated with respect to x, y, and z, respectively, the following Expression 7 is obtained.

[Equation 7]

Figure 112015058529380-pat00060

Figure 112015058529380-pat00061

Figure 112015058529380-pat00062

Here, it can be arranged as [Expression 9] and [Expression 10] according to [Expression 8] below.

[Equation 8]

Figure 112015058529380-pat00063
,
Figure 112015058529380-pat00064

[Equation 9]

Figure 112015058529380-pat00065

[Equation 10]

Figure 112015058529380-pat00066

only,

Figure 112015058529380-pat00067

Therefore, it is possible to obtain [Expression 9] from [Expression 10], and by substituting Expression 11 into Expression 10, Expression 12 can be obtained.

[Equation 11]

Figure 112015058529380-pat00068

[Equation 12]

Figure 112015058529380-pat00069

Figure 112015058529380-pat00070

(only,

Figure 112015058529380-pat00071
)

Therefore, when [Expression 11] and [Expression 12] are substituted into Expression 2 defining the three-dimensional rotation locus 200 of the fly cutter, the following Expression 13 is obtained.

[Formula 13]

Figure 112015058529380-pat00072

here,

Figure 112015058529380-pat00073
Lt; / RTI >

Figure 112015058529380-pat00074

Figure 112015058529380-pat00075

Figure 112015058529380-pat00076

Figure 112015058529380-pat00077

Figure 112015058529380-pat00078

Figure 112015058529380-pat00079

Figure 112015058529380-pat00080

.

here,

Figure 112015058529380-pat00081
≪ / RTI >
Figure 112015058529380-pat00082
Lt; / RTI >
Figure 112015058529380-pat00083
≪ / RTI >
Figure 112015058529380-pat00084
.

Therefore, the z-coordinate zt of the tool can be defined by the following equation (5).

&Quot; (5) "

Figure 112015058529380-pat00085

On the other hand, [Expression 11] can be summarized as Expression 14 below.

[Equation 14]

Figure 112015058529380-pat00086

Therefore, by substituting the above expression (5) into the expression (14), the x-coordinate xt of the tool can be defined by the following expression (4).

&Quot; (4) "

Figure 112015058529380-pat00087

On the other hand, substituting the following expression [15] in Expression [13] into Expression [12], it is summarized in Expression [16].

[Formula 15]

Figure 112015058529380-pat00088

[Formula 16]

Figure 112015058529380-pat00089

Therefore, the y coordinate yt of the tool can be defined by the following equation (3).

&Quot; (3) "

Figure 112015058529380-pat00090

(only,

Figure 112015058529380-pat00091
, The convexity and concavity of the lens surface, and the + or - symbol depending on the relative coordinates between the rotating tool and the lens)

Meanwhile, the coordinate system of the rotary tool may be different from the coordinate system of the lens and the direction or the center point. In consideration of this point, the coordinate system of the rotary tool may be determined by the following equation (6).

&Quot; (6) "

Figure 112015058529380-pat00092

(Where each is defined as follows)

-

Figure 112015058529380-pat00093
: Surface coordinates of the lens

-

Figure 112015058529380-pat00094
: Movement coordinates of rotary tool

-

Figure 112015058529380-pat00095
: Deviation between the coordinate system of the tool unit and the coordinate system of the lens

- each component of the direction conversion matrix composed of a11 to a33 is configured to have one of 0, 1, and -1, and 1 and -1 are not arranged in a row and a column in a manner of overlapping. That is, the direction conversion matrix is composed of three components having a value of 1 or -1 and six components having a value of 0.

For example, the above equation (6) can be defined as follows.

Figure 112015058529380-pat00096

Meanwhile, the tool path generating apparatus according to an embodiment of the present invention generates a tool path for machining the surface of the object 100 by a rotary tool having a cutting edge for cutting the surface of the object 100 A tool path generating apparatus, comprising: a surface setting unit that sets a three-dimensional surface shape (100a) of a workpiece (100) to be machined; A tool setting unit for setting a three-dimensional rotation locus (200) of a cutting edge eccentrically positioned at an end of the rotary shaft of the rotary tool; And a normal line N1 to a point P1 of the surface shape of the object to be processed 100 set in the surface setting unit and a contact point P2 of the three-dimensional rotation locus 200 contacting the point P1. And a path generation unit for generating a movement path of the rotary tool so that the number N2 of the rotary tools coincides with each other.

A machine tool according to an embodiment of the present invention is a machine tool for machining a surface of an object to be processed 100 by a rotary tool having a cutting edge for cutting the surface of the object 100, A tool setting unit for setting a three-dimensional rotation locus 200 of a cutting edge eccentrically positioned at an end of the rotary shaft of the rotary tool, A normal line N1 to one point P1 of the surface shape of the object to be processed 100 and a contact point P2 to the contact point P2 of the three- And a path generating unit for generating a path of movement of the rotary tool so that the rotary tool can coincide with each other. And a machine body for moving the workpiece 100 relative to the workpiece 100 while rotating the rotary tool along a tool path generated by the toolpath generating device to machine the surface of the workpiece 100.

On the other hand, a computer-readable recording medium on which a program for executing the above-described method for generating a path of a rotary tool is recorded.

Although the present invention has been described with reference to the preferred embodiments thereof with reference to the accompanying drawings, it will be apparent to those skilled in the art that many other obvious modifications can be made therein without departing from the scope of the invention. Accordingly, the scope of the present invention should be interpreted by the appended claims to cover many such variations.

100: object to be processed
100a: three-dimensional surface shape
200: Three-dimensional rotation locus

Claims (12)

A method of generating a path of a rotary tool for machining a surface of an object by relatively moving a rotary tool having a cutting edge for cutting a surface of the object,
A surface defining step of defining a three-dimensional surface shape of the object to be processed;
A trajectory defining step of defining a three-dimensional turning trajectory of the cutting edge eccentrically positioned at an end of the rotary shaft of the rotary tool; And
A tangential plane TP1 to a point P1 of the surface shape of the object to be processed defined in the surface definition step and a tangential plane TP2 to a contact point P2 of the three-dimensional rotation locus tangent to the point P1, And a path creating step of creating a path of movement of the rotary tool so as to coincide with each other,
Wherein the object to be processed is an f-theta lens, and the three-dimensional surface shape of the F-theta lens is determined by Equation (1).
[Equation 1]
Figure 112017044376657-pat00133

(Where each is defined as follows)
-
Figure 112017044376657-pat00134

-
Figure 112017044376657-pat00135
: Radius of curvature in the X-axis direction
-
Figure 112017044376657-pat00136
: Radius of curvature in the Y-axis direction
-
Figure 112017044376657-pat00137
: Conic coefficient in the X-axis direction
-
Figure 112017044376657-pat00138
: Conic coefficient in the Y-axis direction
-
Figure 112017044376657-pat00139
: Aspherical coefficient
-
Figure 112017044376657-pat00140
: Surface coordinates of the lens A method of generating a path of a rotary tool for machining a surface of an object by relatively moving a rotary tool having a cutting edge for cutting a surface of the object,
A surface defining step of defining a three-dimensional surface shape of the object to be processed;
A trajectory defining step of defining a three-dimensional turning trajectory of the cutting edge eccentrically positioned at an end of the rotary shaft of the rotary tool; And
A normal line N1 to a point P1 of the surface shape of the object to be processed defined in the surface definition step and a normal line N2 to a contact point P2 of the three-dimensional rotation locus tangent to the point P1, And a path creating step of creating a path of movement of the rotary tool so as to coincide with each other,
Wherein the object to be processed is an f-theta lens, and the three-dimensional surface shape of the F-theta lens is determined by Equation (1).
[Equation 1]
Figure 112017044376657-pat00141

(Where each is defined as follows)
-
Figure 112017044376657-pat00142

-
Figure 112017044376657-pat00143
: Radius of curvature in the X-axis direction
-
Figure 112017044376657-pat00144
: Radius of curvature in the Y-axis direction
-
Figure 112017044376657-pat00145
: Conic coefficient in the X-axis direction
-
Figure 112017044376657-pat00146
: Conic coefficient in the Y-axis direction
-
Figure 112017044376657-pat00147
: Aspherical coefficient
-
Figure 112017044376657-pat00148
: Surface coordinates of the lens delete delete 3. The method according to claim 1 or 2,
Wherein the cutting edge is a fly cutter, and the three-dimensional rotation locus of the fly cutter is determined by the following equation (2).
&Quot; (2) "
Figure 112015058529380-pat00105

(Where each is defined as follows)
-
Figure 112015058529380-pat00106
: Surface coordinates of the lens
-
Figure 112015058529380-pat00107
: Movement coordinates of rotary tool
-
Figure 112015058529380-pat00108
: Distance from the rotational axis of the rotary tool to the center of the circle formed by the ply cutter
-
Figure 112015058529380-pat00109
: The radius of the circle formed by the cutting edge of the rotary tool 3. The method according to claim 1 or 2,
Wherein the movement coordinates of the rotary tool are determined by the following equations (3) to (5).
&Quot; (3) "
Figure 112015058529380-pat00110

(Where the convexity and concavity of the lens surface and the + or - sign are determined according to the relative coordinates between the rotating tool and the lens)
&Quot; (4) "
Figure 112015058529380-pat00111

&Quot; (5) "
Figure 112015058529380-pat00112

(Where each is defined as follows)
-
Figure 112015058529380-pat00113
: Surface coordinates of the lens
-
Figure 112015058529380-pat00114
: Movement coordinates of rotary tool
-
Figure 112015058529380-pat00115
: Distance from the rotational axis of the rotary tool to the center of the circle formed by the ply cutter
-
Figure 112015058529380-pat00116
: The radius of the circle formed by the cutting edge of the rotary tool
-
Figure 112015058529380-pat00117

only,
Figure 112015058529380-pat00118

-
Figure 112015058529380-pat00119

-
Figure 112015058529380-pat00120

only,
Figure 112015058529380-pat00121

-
Figure 112015058529380-pat00122
: Conic coefficient in the X-axis direction
-
Figure 112015058529380-pat00123
: Conic coefficient in the Y-axis direction 3. The method according to claim 1 or 2,
Wherein the coordinate system of the rotary tool is determined by Equation (6).
&Quot; (6) "
Figure 112015058529380-pat00124

(Where each is defined as follows)
-
Figure 112015058529380-pat00125
: Surface coordinates of the lens
-
Figure 112015058529380-pat00126
: Movement coordinates of rotary tool
-
Figure 112015058529380-pat00127
: Deviation between the coordinate system of the tool unit and the coordinate system of the lens
- each component of the direction conversion matrix composed of a11 to a33 is configured to have one of 0, 1, and -1, and 1 and -1 are not arranged in a row and a column in a manner of overlapping. That is, the direction conversion matrix is composed of three components having a value of 1 or -1 and six components having a value of 0. 1. A tool path generating apparatus for generating a tool path for machining a surface of an object by a rotary tool having a cutting edge for cutting a surface of the object,
A surface setting unit for setting a three-dimensional surface shape of the object to be processed;
A tool setting unit for setting a three-dimensional rotation locus of the cutting edge eccentrically positioned at an end of the rotary shaft of the rotary tool; And
The tangential plane TP1 with respect to one point P1 of the surface shape of the object to be processed set in the surface setting unit and the tangential plane TP2 with respect to the contact point P2 of the three- And a path generating unit for generating a path of movement of the rotary tool so as to coincide with each other,
Wherein the object to be processed is an f-theta lens, and the three-dimensional surface shape of the F-theta lens is determined by Equation (1).
[Equation 1]
Figure 112017044376657-pat00149

(Where each is defined as follows)
-
Figure 112017044376657-pat00150

-
Figure 112017044376657-pat00151
: Radius of curvature in the X-axis direction
-
Figure 112017044376657-pat00152
: Radius of curvature in the Y-axis direction
-
Figure 112017044376657-pat00153
: Conic coefficient in the X-axis direction
-
Figure 112017044376657-pat00154
: Conic coefficient in the Y-axis direction
-
Figure 112017044376657-pat00155
: Aspherical coefficient
-
Figure 112017044376657-pat00156
: Surface coordinates of the lens 1. A tool path generating apparatus for generating a tool path for machining a surface of an object by a rotary tool having a cutting edge for cutting a surface of the object,
A surface setting unit for setting a three-dimensional surface shape of the object to be processed;
A tool setting unit for setting a three-dimensional rotation locus of the cutting edge eccentrically positioned at an end of the rotary shaft of the rotary tool; And
The normal N1 to one point P1 of the surface shape of the object to be processed set in the surface setting unit and the normal N2 to the contact point P2 of the three- And a path generating unit for generating a path of movement of the rotary tool so as to coincide with each other,
Wherein the object to be processed is an f-theta lens, and the three-dimensional surface shape of the F-theta lens is determined by Equation (1).
[Equation 1]
Figure 112017044376657-pat00157

(Where each is defined as follows)
-
Figure 112017044376657-pat00158

-
Figure 112017044376657-pat00159
: Radius of curvature in the X-axis direction
-
Figure 112017044376657-pat00160
: Radius of curvature in the Y-axis direction
-
Figure 112017044376657-pat00161
: Conic coefficient in the X-axis direction
-
Figure 112017044376657-pat00162
: Conic coefficient in the Y-axis direction
-
Figure 112017044376657-pat00163
: Aspherical coefficient
-
Figure 112017044376657-pat00164
: Surface coordinates of the lens 1. A machine tool for machining a surface of an object to be processed by a rotary tool having a cutting edge for cutting a surface of the object,
A tool setting section for setting a three-dimensional rotation locus of the cutting edge eccentrically positioned at the end of the rotary shaft of the rotary tool, a tool setting section for setting a three- The normal N1 to one point P1 of the surface shape of the three-dimensional rotational locus and the normal N2 to the contact point P2 of the three-dimensional rotational locus tangent to the point P1 coincide with each other, A tool path generating device including a path generating section for generating a path; And
And a machine body for moving the rotary tool relative to the object while rotating the rotary tool along a tool path generated by the tool path generating device,
Wherein the object to be processed is an f-theta lens, and the three-dimensional surface shape of the F-theta lens is determined by Equation (1).
[Equation 1]
Figure 112017044376657-pat00165

(Where each is defined as follows)
-
Figure 112017044376657-pat00166

-
Figure 112017044376657-pat00167
: Radius of curvature in the X-axis direction
-
Figure 112017044376657-pat00168
: Radius of curvature in the Y-axis direction
-
Figure 112017044376657-pat00169
: Conic coefficient in the X-axis direction
-
Figure 112017044376657-pat00170
: Conic coefficient in the Y-axis direction
-
Figure 112017044376657-pat00171
: Aspherical coefficient
-
Figure 112017044376657-pat00172
: Surface coordinates of the lens 1. A machine tool for machining a surface of an object to be processed by a rotary tool having a cutting edge for cutting a surface of the object,
A tool setting section for setting a three-dimensional rotation locus of the cutting edge eccentrically positioned at the end of the rotary shaft of the rotary tool, a tool setting section for setting a three- And the tangential plane TP1 to the point P1 of the surface shape of the three-dimensional rotational locus and the tangential plane TP2 to the contact point P2 of the three-dimensional rotational locus tangent to the point P1 coincide with each other, A tool path generating device including a path generating section for generating a path; And
And a machine body for moving the rotary tool relative to the object while rotating the rotary tool along a tool path generated by the tool path generating device,
Wherein the object to be processed is an f-theta lens, and the three-dimensional surface shape of the F-theta lens is determined by the following equation (1).
[Equation 1]
Figure 112017044376657-pat00173

(Where each is defined as follows)
-
Figure 112017044376657-pat00174

-
Figure 112017044376657-pat00175
: Radius of curvature in the X-axis direction
-
Figure 112017044376657-pat00176
: Radius of curvature in the Y-axis direction
-
Figure 112017044376657-pat00177
: Conic coefficient in the X-axis direction
-
Figure 112017044376657-pat00178
: Conic coefficient in the Y-axis direction
-
Figure 112017044376657-pat00179
: Aspherical coefficient
-
Figure 112017044376657-pat00180
: Surface coordinates of the lens A computer-readable recording medium having recorded thereon a program for executing the method of generating a path of a rotary tool according to claim 1.
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JP3209432B2 (en) * 1990-12-29 2001-09-17 ソニー株式会社 Object shape cutting method
KR100795165B1 (en) * 2006-12-06 2008-01-16 한국산업기술대학교산학협력단 Control method for shape of micro lens
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JP3209432B2 (en) * 1990-12-29 2001-09-17 ソニー株式会社 Object shape cutting method
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