KR101489072B1 - Conical Path Generation Method for Ball Bar Measurement Using Simultaneous 5-Axis Motion Control - Google Patents

Abstract

A conical path generation method for a ball bar measurement by 5-axis simultaneous drive according to an embodiment of the present invention is a method for establishing a kinematic model representing a relative direction and a position of a tool relative to a workpiece through the structure and specification information of a 5-axis machine tool, Machine tool system information utilization stage; A tool ball and a workpiece ball on a three-dimensional circular path using a ball bar measurement information of a ball bar system having a tool mount on which a tool ball is mounted and a center mount on which a workpiece ball is mounted, and geometric information of a virtual shunt- The use of ballbar / trunnion information to establish a kinematic model between the two; And a path generating step of generating a final conical path model using the ballbar vector and tool direction vector information obtained through the machine tool system information utilization step and the ballbar / truss information utilization step. According to embodiments of the present invention, it is possible to easily generate a three-dimensional circular path without relying on tool path generation software such as a cam with a 5-axis machine tool of any system structure, arbitrary ballbar mechanism specifications and arbitrary toroidal information input , Which allows the user to use it under all conditions.

Description

Technical Field [0001] The present invention relates to a conical path generation method for a ball bar measurement using a 5-axis simultaneous driving method,

A conical path generation method for ballbar measurement by simultaneous 5-axis drive is disclosed. More specifically, a three-dimensional circular arc path can be easily created without resorting to a tool path creation software such as a cam (CAM) with a 5-axis machine tool of any system structure, arbitrary ballbar mechanism specification and arbitrary toroidal information input A conical path generation method for a ball bar measurement by simultaneous 5-axis drive that a user can use in all conditions is disclosed.

Recently, a variety of 5-axis machine tools have been widely used in the production of ultra-precision parts, and along with this, verification of the performance of the feed system for improving the accuracy has become more severe. The ball bar system is specified in ISO as a suitable measurement system for comparing and evaluating performance between drive axes by simultaneous measurement. Recently, it has been widely used for evaluation of rotational table error of 5-axis machine tools.

As a method for evaluating the machining accuracy of a 5-axis control machine tool, there is a NAS 979 test method, which was developed by the National Aerospace Standard, which measures the circularity of a machined truncated cone, .

However, in the case of NAS 979, there is a need for additional roundness measuring equipment such as a specimen fixing jig and a CMM (Coordinate Measuring Machine) to perform the test, and a long time is required for the actual machining process and roundness measurement have.

In this method, a non-machining evaluation method is used to measure ball bar by using a conical path equivalent to the shape of a truncated cone instead of the actual machining. In this method, machining error parameters can be eliminated because there is no actual machining step, This makes it possible to perform evaluations as quickly as possible and to perform equivalent tests on NAS 979 under various test conditions. Recently, a ballbar measurement method perpendicular to the truncated cone has been proposed to avoid physical interference between the ballbar components under excessive tilting conditions. The influence of the offset on the position of the workpiece ball and the effect of the rotational axis error on various conical path conditions .

It is an object according to an embodiment of the present invention to facilitate a three-dimensional circular path without depending on a tool path generation software such as a cam (CAM) with a 5-axis machine tool of arbitrary system structure, arbitrary ballbar mechanism specification, And provides a conical path generation method for a ball bar measurement through 5-axis simultaneous driving that the user can use under all conditions.

It is another object of the present invention to provide a system and method for easily performing NC code generation, various error evaluation simulations, and measurement tests by receiving system information, cone information, and ballbar measurement information of a 5-axis machine tool The present invention provides a conical path generation method for a ball bar measurement through simultaneous 5-axis driving which can provide a mathematical mechanical input model necessary for circular path generation.

It is another object of the present invention to provide a method and apparatus for generating a circular arc path by inputting each test condition for ball bar measurement under various test conditions and performing mathematical simulation And to provide a conical path generation method for a ball bar measurement by simultaneous 5-axis drive which can present an input model.

A method for generating a conical path for a ballbar measurement by simultaneous 5-axis driving according to an embodiment of the present invention includes a kinematic model representing a relative direction and a position of a tool relative to a workpiece through the structure and specification information of a 5-axis machine tool, A step of using the machine tool system information to establish the machine tool system information; A tool ball and a workpiece ball on a three-dimensional circular path using a ball bar measurement information of a ball bar system having a tool mount on which a tool ball is mounted and a center mount on which a workpiece ball is mounted, and geometric information of a virtual shunt- The use of ballbar / trunnion information to establish a kinematic model between the two; And a path generating step of generating a final conical path model using the ballbar vector and tool direction vector information obtained through the machine tool system information utilization step and the ballbar / trunnion information utilization step, It is possible to easily create a three-dimensional circular path without relying on a tool path generation software such as a cam with a 5-axis machine tool of arbitrary system structure, arbitrary ballbar mechanism specification and arbitrary truncation information input, Can be used under all conditions.

According to one aspect of the present invention, at the time of using the machine tool system information, the tool ball and the workpiece ball are simultaneously driven by 5-axis simultaneous operation of the 5-axis machine tool by using the kinematic model of the 5-axis machine tool and the setup position of the workpiece ball. And a direction vector of the tool can be calculated.

According to one aspect, the kinematic model can be established from the information including at least one of the system structure of the 5-axis machine tool, the tool length, and the offset of the rotational axis at the step of using the machine tool system information.

According to one aspect, the kinematic model representing the relative direction and position of the tool with respect to the workpiece during the step of using the machine tool system information includes a kinematic chain consisting of continuous drive axes using a homogeneous transformation matrix (HTM) Lt; / RTI >

According to one aspect, the system structure of the 5-axis machine tool may include three linear axes and two vertical axis of rotation to determine the processing posture of the tool.

According to one aspect of the present invention, at the time of using the ballbar / truss information, the tilting angle of the ball bar is calculated using the ballbar measurement information of the ballbar system, and using the calculated information and the geometric information of the virtual shunt, It is possible to establish a kinematic model between the workpiece balls of the three-dimensional circular path.

According to one aspect, in the ballbar / truss information use step, after establishing a kinematic model between the balls, the vector of the ballbar and the direction vector of the tool can be calculated on the three-dimensional circular path for the ballbar measurement.

According to one aspect of the present invention, in the path generation step, a final cone-shaped path is generated by using a simultaneous equation that matches the vector of the ballbar and the direction vectors of the tool calculated through the step of using the machine tool system information and the step of using the ballbar / You can create a model.

According to one aspect, the method may further include a review / analysis step of reviewing and analyzing the transfer range of the rotation axis of the 5-axis machine tool based on the final cone path model generated.

According to embodiments of the present invention, it is possible to easily generate a three-dimensional circular path without relying on tool path generation software such as a cam (CAM) with a 5-axis machine tool of any system structure, arbitrary ballbar mechanism specification and arbitrary toroidal information input , Which allows the user to use it under all conditions.

In addition, according to the embodiment of the present invention, the system information of the 5-axis machine tool, the conical information, and the ballbar measurement information are received and the NC code is generated, various error evaluation simulations, We can present the mathematical machine input model necessary for path generation.

In addition, according to the embodiment of the present invention, it is possible to generate a circular path immediately after inputting each test condition for ballbar measurement under various test conditions, and to perform a simulation according to various errors, Can be presented.

FIG. 1 is a view showing information on a machining test of a tether of a NAS 979 to which a conical path generation method according to an embodiment of the present invention is applied.
2 is a flowchart of a conical path generation method according to an embodiment of the present invention.
FIG. 3 is a diagram showing a vector of a ball bar and a direction vector of a tool during 5-axis simultaneous driving.
FIG. 4 is a diagram showing a vector of a ball bar and a direction vector of a tool on a three-dimensional circular path for ballbar measurement.
5 is a diagram showing a configuration of a 5-axis machine tool.
FIG. 6 is a view showing an interference angle of each ball with reference to a tool ball and a workpiece ball for ballbar tilting in ballbar measurement.
7 is a view schematically showing a three-dimensional conical path for ball bar measurement.

Hereinafter, configurations and applications according to embodiments of the present invention will be described in detail with reference to the accompanying drawings. DETAILED DESCRIPTION OF THE INVENTION The following description is one of many aspects of the claimed invention and the following description forms part of a detailed description of the present invention.

In the following description, well-known functions or constructions are not described in detail for the sake of clarity and conciseness.

FIG. 1 is a view showing machining test information of a tether of a NAS 979 to which a conical path generation method according to an embodiment of the present invention is applied, FIG. 2 is a flowchart of a conical path generation method according to an embodiment of the present invention, FIG. 3 is a diagram showing a vector of a ballbar and a direction vector of a tool in simultaneous 5-axis driving, FIG. 4 is a diagram showing a direction vector of a ballbar vector and a tool on a three-dimensional circular path for ballbar measurement, Fig. 2 is a diagram showing a configuration of a machine tool.

As shown in these drawings, a conical path generation method for a ballbar measurement by simultaneous 5-axis driving according to an embodiment of the present invention uses a structure and specification information of a 5-axis machine tool 110 (see FIG. 5) A tool cup 123 in which a tool ball 121 (see FIG. 3) is mounted, and a workpiece feed mechanism 120 for setting a model indicating a relative direction and position of the tool 120 with respect to the workpiece. The ballbar measurement information of the ballbar system having the center mount 140 on which the ball 141 (see FIG. 3) is mounted and the geometric information of the virtual circumferential portion (131 of FIG. 6) A ballbar / truncation information use step S200 for establishing a kinematic model between the tool ball 121 and the workpiece ball 141 on the conical path, and a path creation process for creating a final conical path through the steps S100 and S200 Step S300 and the generated cone- Based on the review and analysis may include a review / analysis method comprising: (not shown), the transfer range of the rotational axis of the five-axis machine tool 100 mathematically.

This step-by-step configuration makes it possible to apply to all 5-axis machine tools (110) regardless of the system structure, without using tool path generation software such as cam (CAM), which is time consuming and demanding complex and complex tasks And receives the system structure information of the 5-axis machine tool 110, geometry information of the virtual truncle 131, measurement information of the ballbar 145, and the like, for example, NC code generation, various error evaluation simulations, The mathematical machine input model necessary for circular path generation can be presented.

The machine tool system information such as the system structure of the 5-axis machine tool 110, the length of the tool 120 and the offset of the rotational axis, and the half apex angle, inclination angle, Such as an arc radius and cone information of a ball bar 145 and measurement information of a ball bar 145 such as a tilt angle in consideration of a mounting position of the workpiece ball 141 of the ball bar 145 and measurement interference of the ball bar 145, And can establish a model of science. In addition, when 5-axis simultaneous driving is performed based on the generated cone path model, it is possible to examine the transfer range of the rotary shaft according to various input conditions through a mathematical analysis. The difference in size of the half angle and the tilt angle, The influence of various conditions such as the offset position of the workpiece ball 141 on the transfer range can be analyzed.

및

는 원추 형상의 반꼭지각 및 가상 원추대(131) 자세의 기울기각을 나타내고, T는 툴(120)의 끝점, W는 공구 원형 경로의 중심점, D, h_c 및 h_b 는 각각 가상 원추대(131)의 직경, 원추대(131)의 두께 및 베이스 실린더(132)의 두께를 나타낸다. 원추대(133) 가공을 위해서는 5축 동시 제어가 요구되며, T 와 W 위치에 볼바 시스템의 툴 볼(121)과 워크피스 볼(1141)을 배치함으로써 가상 원추대(131) 형상 가공 경로와 등가인 볼바(145)의 측정을 할 수 있다.Referring to FIG. 1, the machining test information of the truss 133 of the NAS 979 can be known. here,

And

Denotes a tilt angle of the cone-shaped half apex angle and virtual truncated cone 131, posture, T is the end point, W is a center point of the tool circular path, D, h _c and h _b of the tool 120 are each virtual truncated cone 131 The thickness of the frustum 131, and the thickness of the base cylinder 132. [ Simultaneous 5-axis control is required for the processing of the truncated cone 133. The tool ball 121 of the ballbar system and the workpiece ball 1141 are disposed at positions T and W , (145) can be measured.

Here, the circular path required for the measurement of the ballbar 145 is a three-dimensional conical path, and the information about the system of the 5-axis machine tool 110, the ballbar measurement information of the ballbar system, the geometric information of the virtual sural 131, Can be determined.

As shown in FIG. 2, in the step S100 of using the machine tool system information among the steps described above, the system structure of the five-axis machine tool 110, the length of the tool 120, the offset of the rotation table 130 (S110) a kinematic model indicating the relative direction and position of the tool 120 with respect to the workpiece can be established from the system specification information.

At this stage, using the kinematic model of the 5-axis machine tool 110 and the setup position of the workpiece ball 145, two balls of the ballbar 145 (tool balls 121 and the workpiece ball 141) and the direction vector of the tool 120 at that time (S120).

Next, at the ballbar / truss information use step S200, the interference angle on the basis of the tool ball 121 is calculated (S210) through the measurement information of the ballbar system, and the calculated information of the interference angle and the shape The kinematic model between the tool ball 121 and the workpiece ball 141 in the conical path can be established using the information (S220).

Then, through the established kinematic model, the ball vector and the direction vector of the tool for the conical path can be calculated (S230) as shown in FIG.

At this time, when the tool ball 121 contacts the tool cup 123 or when the workpiece ball 141 contacts the ball socket 142, the axis of the ball bar 145 and the tool cup 123 or When the ballbar measurement is performed by setting the angle between the central axis of the ball socket 142 as a variable and driving the 5 axis simultaneously, the tilting angle of the ballbar 145 must satisfy the condition that it does not cause physical collision between the ballbar components.

Then, in the conical path generation step S300, the two calculated ball vector vectors and the direction vectors of the tool, that is, the ball vector and the direction vector of the tool 120 obtained in the step S100 of using the machine tool system information, , A solver of the simultaneous equations for the machine input values is obtained (S310) so that the ball vector obtained in the ballbar / truss information use step S200 (S120) and the direction vectors of the tool 120 are matched with each other )can do.

Hereinafter, a system of the 5-axis machine tool 110 applied in the step of using the machine tool will be described with reference to FIG.

5, the system configuration of the 5-axis machine tool 110 of the present embodiment basically includes two (vertical) rotation axes A and C on three linear axes X, Y and Z, And determines the machining posture of the tool 120. [0034] The machine tool 110 of the present embodiment is a five-axis machine tool 110 having a tilting rotary table 130. A kinematic model representing the relative direction and position of the tool 120 with respect to the workpiece is a homogeneous transformation matrix ) Can be obtained from the kinematic chain consisting of the workpiece, the C-axis, the A-axis, the Y-axis, the reference axis, the X-axis, Can be expressed.

......식1

Equation 1

라고 할 때, 5축 동시 구동 시 툴 볼(121)과 워크피스 볼(141)의 볼바 벡터는 다음의 식 2와 같고, 이 때의 툴(120)의 방향 벡터는 식 3으로 표현될 수 있다.The ballbar vector on the conical path through the 5-axis simultaneous drive can be computed from the kinematic model of Equation 1, which shows the relative orientation and position of the tool 120 relative to the workpiece, as shown in FIG. The center position of the workpiece ball 141 installed on the table 130 is

, The ball vector of the tool ball 121 and the workpiece ball 141 at the time of simultaneous 5-axis driving is expressed by the following Equation 2, and the direction vector of the tool 120 at this time can be expressed by Equation 3 .

......식 2

Equation 2

......식 3(여기서, R⁽ⁱ⁾는 행렬 R의 i번째 열벡터를 의미함)

(Where R ⁽ⁱ⁾ denotes the i-th column vector of the matrix R)

On the other hand, in the following description, the tilting allowance angle of the ball bar 145 at the ballbar / truss information use step S200 will be described with reference to Fig.

FIG. 6 is a view showing the interference angle of the balls 121 and 141 with reference to the tool ball and the workpiece ball for ballbar tilting in measuring the ballbar 145.

As shown in the figure, when the plane including the three-dimensional arcuate path having the half vertex angle or the large inclination angle is located parallel to the bottom surface of the imaginary truncated cone 131, the tool cup 123 is moved in accordance with the half- And the ball bar 145 of the workpiece 140 and the ball bar 145 of the workpiece 140 may cause a physical collision. In this embodiment, the angles of the tilting angles of the tool cup 123 and the ball socket 142 of the workpiece 140 with respect to the axis of the ball bar 145 are defined as ψ _t and ψ _w .

>

의 경우엔 툴 볼(121)의 틸팅각(ψ_t )이,

<

의 경우에는 ψ_w,min 이 각각 충돌에 대한 임계각으로 사용될 수 있다. 이는 다음의 식 4로 나타낼 수 있다.Then, the tilting angle ? _{T with} respect to the tool ball 121 always maintains a constant angle during the ballbar measurement, while the tilting angle ? _{W with} respect to the workpiece ball 141 varies with the central angle of the arc path. In this case, when the angle at which interference occurs in the ballbar system is represented by ? _Lim ,

>

, The tilting angle ( ? _T ) of the tool ball (121)

<

, Ψ _{w and min} can be used as critical angles for collision, respectively. This can be expressed by Equation 4 below.

......식4

Equation 4

<

의 경우, ψ_w,min 이 간섭 체크에 필요한 변수가 되므로, 툴 볼(121)의 틸팅각(ψ_t )은

,

및 ψ_w,min 과의 관계식인 다음의 식 5로부터 구할 수 있다.Meanwhile,

<

Cases, ψ _{w, min} is because the variables required for the interference check, the tilting angle (ψ _t) the tool ball 121

,

And ? _{W, min} , which is a relational expression of ? _{W, min} .

......식5

Equation 5

Meanwhile, as described above, after obtaining the tilting angle of the ball bar 145, the obtained information can be used to generate a three-dimensional circular path in a conical shape with no physical collision between the ballbar parts.

7 is a view schematically showing a geometric relationship of a three-dimensional conical path for ballbar measurement.

7, the position of the tool ball 121 and the direction of the tool cup 123 with respect to the workpiece ball 141 of the ballbar 145 can be obtained from the relationship between the respective local coordinate systems as shown in the following Equation 6 . The vector of the ballbar 145 and the direction vector of the tool 120 can be calculated using Equation (7) and Equation (8).

......식6

Equation 6

......식7

Equation 7

......식8

Equation 8

이며,

는 볼바의 길이이다. 아울러, 전술한 것처럼,

및

는 원추 형상의 반꼭지각 및 가상 원추대 자세의 기울기각을 나타낸다.

는 원추형 경로의 원호 중심각을 나타내고,

는 툴컵의 볼소켓 축과 볼바 축이 이루는 틸팅각에 직각을 뺀 각도를 나타낸다. here,

Lt;

Is the length of the ball. In addition, as described above,

And

Represents the tilt angle of the conical half-apex angle and the imaginary frustum posture.

Represents the arc center angle of the conical path,

Represents the angle obtained by subtracting the right angle from the tilting angle between the ball socket axis of the tool cup and the ball bar axis.

In the following description, the final conical path model is established by using the vector information obtained through the machine tool system information use step S100 and the ballbar / trunnion information use step S200 described above.

As described above, in order to be located at the conical path point through the 5-axis simultaneous drive, Equation 2 and Equation 7 for the ballbar vector and Equation 3 and Equation 8 for the direction vector of the tool 120 must coincide, Thus, a total of six simultaneous equations can be constructed. Therefore, the final result expression for the machine instruction of the coaxial 5-axis machine tool 110 can be expressed by the following equation (9).

......식9
여기서,

는 A축 좌표계의 오프셋을 나타낸다.

Equation 9
here,

Represents the offset of the A-axis coordinate system.

Equation 9 is obtained by inputting the ballbar parameter information to be measured through the 5-axis simultaneous drive in the 5-axis machine tool 110 of this embodiment having the tilting rotary table 130 and the variable information of the virtual shunt arm 131 It shows the machine input model needed to generate the conical path. At this time, since the origin of the local coordinate system of the three linear axes (X, Y, Z) is defined as the home position, it can be easily driven by the absolute feed command like G90. Therefore, it can be useful for NC code generation, error evaluation simulation, and measurement test.

와

의 차이에 따라 다른 이송 범위를 가질 수 있는 A축 및 C축의 이송 범위에 대해서 설명하기로 한다.On the other hand,

Wow

The range of conveyance of the A axis and the C axis which can have different conveyance ranges will be described.

First, the feed range of the A axis is as follows.

)는 다음 식을 만족한다.Equation 8 and Equation 9 show that the A-axis machine input value (

) Satisfies the following equation.

...... 식10

Equation 10

가 360도 회전하는 경우, 식11을 만족시킨다.Equation 10 shows the center angle of the arc on the conical path

Is rotated 360 degrees, equation (11) is satisfied.

......식11

Expression 11

The transfer range of the final A axis is compiled by the following equation according to the comparison of the magnitude of the half apex angle and the inclination angle of the virtual cone 131.

......식12

Equation 12

On the other hand, the conveyance range of the C axis is as follows.

가

보다 크거나 작은 경우, C축 기계 입력값(

)는 다음 식을 만족한다.

end

If larger or smaller, the C axis machine input value (

) Satisfies the following equation.

......식13

Equation 13

에 대해 미분하고 식14와 같이 극점을 구하기 위해 0으로 두면

는 0보다 크고 90도보다 작으므로 식15와 같이 해를 구할 수 있다.This expression is the arc center angle

And if we set it to 0 to obtain the pole as shown in Equation 14

Is greater than 0 and less than 90 degrees, so the solution can be obtained as in Eq. (15).

......식14

Equation 14

......식15

Equation 15

Therefore, the transfer range of the final C axis can be expressed by the following Expression 16.

Equation 16

가

와 같은 경우, C축 기계 입력값(

)는 다음 식을 만족한다

end

, The C axis machine input value (

) Satisfies the following expression

...식17

... Equation 17

에 대해 미분하면 식18과 같이 나타나는데

가 0보다 크고 90도보다 작으므로 이 식은 0을 만족하지 못한다.
This expression is the arc center angle

If we differentiate for

Is greater than 0 and less than 90 degrees, this equation does not satisfy zero.

......식18

Equation 18

의 양 끝 경계값(0도와 360도)에 의해 최소값와 최대값이 결정되므로 식19와 같이 나타낼 수 있다.Therefore, the feed range of the final C axis is

The minimum value and the maximum value are determined by the boundary values (0 degrees and 360 degrees) at the both ends of the boundary.

......식19

Expression 19

와

의 차이에 따라 다른 이송 범위를 가질 수 있다. 여기서, 특이할 점은,

<

의 경우, C 축이 360° 회전하지 못하게 되며,

=

의 경우

=0°, 360° 점에서 특이점(Singular point)이 발생하여 C 축의 이송 범위는 정확히 180°가 된다는 것이다.Thus, the feed range of the A axis and the C axis is

Wow

It is possible to have different feed ranges depending on the difference of the feed rate. Here,

<

, The C-axis is prevented from rotating by 360 °,

=

In the case of

= Singular point at 0 ° and 360 ° points, and the conveying range of the C axis is exactly 180 °.

>

경우, 워크피스 볼(145)의 오프셋은 직선축의 이송 범위를 확대시킬 수 있고,

가 증가할 경우, Z 축의 이송 범위는 확대되는 반면 X, Y 축의 이송 범위는 축소될 수 있고,

가 증가할 경우, A 축의 이송범위가 확대되고 직선축의 이송 범위 또한 확대될 수 있으며, 가령

<

경우, C 축은 360° 회전하지 못하며 Y방향의 오프셋은 X, Y 축의 이송 범위를 축소시킬 수 있고,

가 증가할 경우, Z 축의 이송 범위는 확대되는 반면 X, Y, C 축의 이송 범위는 축소될 수 있고,

가 증가할 경우, A 축의 이송범위가 확대(

)되고 Y, Z 축의 이송범위가 확대될 수 있다.In addition,

>

The offset of the workpiece ball 145 can enlarge the feed range of the linear axis,

The feed range of the Z axis is enlarged while the feed range of the X and Y axes is reduced,

The feed range of the A axis can be enlarged and the feed range of the linear axis can also be enlarged,

<

, The C axis can not rotate 360 degrees and the offset in the Y direction can reduce the X and Y axis feed range,

The feed range of the Z axis is enlarged while the feed range of the X, Y, and C axes can be reduced,

Increases, the conveyance range of the A axis becomes larger (

) And the feed range of the Y and Z axes can be enlarged.

Thus, in accordance with an embodiment of the present invention, a five-axis machine tool 110 of any system architecture may be used that does not rely on toolpath generator software such as cam (CAM) It is possible to easily generate a three-dimensional circular path without the need for the user to use it in all conditions.

In addition, the system information of the 5-axis machine tool 110, the conical information, and the ballbar measurement information are received and mathematical information necessary for generating a circular path is generated so that NC code generation, various error evaluation simulations, It is also possible to present a machine input model, and it is also possible to mathematically examine and analyze the transfer range of the rotary shaft during 5-axis simultaneous operation based on the generated conical path model.

It will be apparent to those skilled in the art that various modifications and variations can be made in the present invention without departing from the spirit and scope of the invention. Accordingly, such modifications or variations are intended to fall within the scope of the appended claims.

110: 5-axis machine tool
120: Tools
121: Toolball
130: Table
131:
140: Center mount
141: Workpiece ball
145: Ballbar

Claims (9)

A machine tool system information utilization step that establishes a kinematic model representing the relative direction and position of the tool relative to the workpiece through the structure and specification information of the 5-axis machine tool;
A tool bar on which the tool ball is mounted, and a center mount on which the workpiece ball is mounted, using the ball bar measurement information and the geometry information of the virtual truncated cone equivalent to the shape of the truncated cone, The ballbar / trunnion information utilization phase, which establishes the kinematic model between the piece balls; And
A path generating step of generating a final conical path model using the ballbar vector and tool direction vector information obtained through the machine tool system information utilization step and the ballbar /
/ RTI &gt;
Wherein the kinematic model of the 5-axis machine tool and the setup position of the workpiece ball include an offset from a rotation center axis of a rotary table on which the center mount is mounted, A ballbar vector connecting the center of the tool ball and the workpiece ball and a direction vector of the tool when the 5-axis simultaneous operation of the 5-axis machine tool is used,
Calculating a tilting angle of the ball bar in such a manner as not to cause inter-component interference during ballbar measurement using the ballbar measurement information of the ballbar system at the time of using the ballbar / Information is used to establish a kinematic model between the tool ball and the workpiece ball in a three-dimensional circular path,
In the path generation step, in order to generate a final conical path model using the ballbar vector and tool direction vector information obtained through the machine tool system information utilization step and the ballbar / The resulting equation for the mechanical input of the conical path through simultaneous drive,

Lt;
here,

Is a center position of the workpiece ball provided on the table,

Is the offset of the A-axis coordinate system,
L is the tool length,

And

Are machine input values for driving the A axis and the C axis, respectively,

(T _c ) and the ballbar vector (b _c ) of the tool,

And

Represents a tilt angle of a conical half-apex angle and a virtual virtual circumferential posture,

Represents the arc center angle of the conical path,

Represents the angle obtained by subtracting the right angle from the tilting angle between the ball socket axis of the tool cup and the ball bar axis,

Is a conical path generation method for a ball bar measurement by means of a 5-axis simultaneous drive which indicates the length of a ball bar.
delete The method according to claim 1,
Wherein the kinematic model is established from information including at least one of the system structure of the 5-axis machine tool, the tool length, and the offset of the rotational axis at the step of using the machine tool system information, Conical path generation method.
The method of claim 3,
Wherein the system structure of the 5-axis machine tool includes three linear axes and two vertical axis rotation axes for determining the processing posture of the tool.
The method of claim 3,
Wherein the kinematic model representing the relative orientation and position of the tool relative to the workpiece during the machine tool system information utilization phase is obtained from a kinematic chain comprising successive drive axes using a homogeneous transformation matrix (HTM) A conical path generation method for ballbar measurement by 5 - axis simultaneous drive.
delete The method according to claim 1,
Axis driving method for calculating the vector of the ball bar and the direction vector of the tool on the three-dimensional arcuate path for the ball bar measurement after establishing a kinematic model between the balls at the ballbar / A method for generating a conical path for a ballbar measurement.
8. The method of claim 7,
In the path generation step, a final conical path model is generated by using a simultaneous equations that match the vector of the ballbar and the direction vectors of the tool, which are respectively calculated through the machine tool system information utilization step and the ballbar / , Conical path generation method for ballbar measurement by 5 - axis simultaneous drive.
The method according to claim 1,
Further comprising a review / analysis step of reviewing and analyzing a transfer range of the rotation axis of the 5-axis machine tool based on the generated final cone path model.

Images