TW449526B - Numerical control device - Google Patents

Abstract

This invention provides a numerical control device for a numerical control machine to control a table whose rotating axis direction is perpendicular to the axial direction of a spindle. In each interpolation from the rotating angle of the table, the interference zone between the table and the spindle is computed in real time to verify and avoid the interference between the table and the spindle after the table rotates.

Description

A7 A7 Worker 3! 1357 B7 Five Λ Description of Invention (1) [Field of Invention] The present invention relates to a numerical control machine (hereinafter referred to as a gNC working machine) for controlling a rotation mechanism having a worktable rotation, and particularly relates to a rotating worktable and tool. Check the interference between the rotating worktable and the spindle. [Conventional technology] The nc work machine controlled by the NC device 'tools, tool tables, loaders (testers), test equipment, etc. move simultaneously through NC information such as machining programs, so in order to avoid interference between the moving parts The interference check of the interference between the moving part and the static part becomes an important step. As the interference checking device of conventional NC working machines, for working machines whose lathes' motion range is limited to the two-dimensional space, the shapes of tools, tools with α, fixtures, and workpieces are also defined in the two-dimensional space. The interference of the shape data with each other is checked in the two-dimensional space. Furthermore, for j. ’·’,. The working range of machining tools (machining center), along with the space of three times and several times, the shape of the work or installation fixture is defined by the χ_γ plane, and the thickness in these ζ directions is also defined. The interference between the coordinate value and the defined shape data is verified by the actual two-dimensional space. In addition, the shape data to be checked for these interferences is set by fixed areas such as normal parameters. Generally, the NC work machine has a fixed work plate, so its interference area does not change during processing. It is only necessary to set the interference area again after resetting it. For this, as shown in ^, NC paper with a work plate rotation mechanism is used in _Home Standard (CNS). ^^ _ 21〇χ 29ϋ Install -------- Order -------- -Line (Please read the precautions on the back before filling this page) 4495,: 〇Α7 ---- B7 V. Description of the Invention (2) When the machine is used, the interference area is changed during processing, so the interference area setting becomes Difficult or impossible. Next, the reason will be described using FIGS. 5 and 6. That is, Fig. 5 shows a cross-sectional view of a 5-axis NC working machine having a worktable rotation mechanism. The NC working machine has a structure and operation described below. That is, it includes: a machine bed (bed) 10 and an X-axis work plate 11 for freely moving in the X direction on the machine tool 10; a Y-axis column 12 for use of γ on the X-axis work plate 11 It can be set freely in the direction of movement; and the Z-axis slide plate 13 is used for freely setting in the Z-direction on the Y-axis cylinder 12; Furthermore, the main shaft 4 is installed on the Z-axis slide plate 13 and the main shaft 4 is installed on the main shaft 4. The tool 16 rotates at a high speed to machine a workpiece. Furthermore, a tilt table 2 is provided on the machine tool 10 to make the main axis (Z axis) direction perpendicular to the axis parallel to the X or Y axis (in this example, the sleeve 5 is parallel to the X axis) ) As the center and rotate in a cradle shape. Furthermore, a rotary table 15 is provided on the inclined work plate 2 with an axis 14 perpendicular to the disk surface of the inclined work plate 2 as a rotation axis. And generally, the axis 5 is referred to as the A-axis, and the axis 14 is referred to as the C-axis. Furthermore, the aforementioned X-axis working plate 11, Y-axis cylinder 12, Z-axis sliding plate 13, tilting working plate 2 and rotating working plate 15 are respectively represented by the X-axis servo motor, the Y-axis servo motor, and the Z-axis. Servo motor, A-axis servo motor, and C-axis servo motor drive. Each of the aforementioned servo motors is driven and controlled by the NC control device, so that the position of the main shaft 4 moves to any coordinate value of X, Y, Z, and then tilted (please read the precautions on the back before filling this page). ----- Order! !! Printed by the Intellectual Property Bureau of the Ministry of Online Economics and Industrial Cooperatives. The paper size is applicable to the Chinese National Standard (CNS) A4 (210 * 297 mm) 2 311357 A7 B7 V. Description of the invention (3) Inclined working plate 2, rotating working plate The rotation of 15 can arbitrarily control the posture of the workpiece placed on the rotating worktable 15 to perform the desired processing. [Problems to be Solved] An NC working machine having a worktable rotation mechanism has the structure described above and operates. However, when such an NC working machine is provided with a tilting worktable 2 rotating around a shaft 5, the main shaft 6 and the worktable 2 That is, as shown in FIG. 6 (that is, the γ_ζ plan view of the NC working machine in FIG. 5), the areas 1 interfere with each other (in the area on the right side of the work plate 2 in FIG. 6, the main shaft 4 and the work plate 2 are mutually No interference, but the movement of this area in the main axis is meaningless during processing (so it is still regarded as an interference area), so area 1 must be regarded as an interference area and set with parameters and so on. In addition, 3 in FIG. 6 is a workpiece. However, for example, when the rotation of the work plate 2 moves the work plate 2 to the left position in FIG. 6, the interference area becomes the area 7 in FIG. 6. Therefore, every time the page 2 is rotated by the operator, Resetting the interference area is very troublesome. In addition, when the rotation angle of the working plate 2 changes from moment to moment, the requirement of the operator ’s consumer cooperative of the Ministry of Economic Affairs and the Intellectual Property Bureau to print a new setting of the interference area by the operator is impractical. In essence, such a setting belongs to impossible. As mentioned above, in the case of a 2Nc working machine having a worktable rotation mechanism, it is difficult or impossible to set the interference area because the interference area changes during processing.

311357 < Please read the precautions on the back before filling this page) The author of the present invention is to solve the aforementioned problems. The purpose of the invention is to provide the control of NC working machines that can perform all kinds of processing of workpieces even with the rotation of the work plate. It can still be easily and surely printed by the Consumer Cooperative of the Intellectual Property Bureau of the Ministry of Economic Affairs and printed 4495 2 6 Α7 __Β7 V. Description of the invention (4) The interference between the rotating worktable and tools, the rotating worktable and the spindle Numerical control device. [Means for Solving the Problem] The present invention is a numerical control device for controlling a working machine provided with a processing workpiece on a working plate having a rotating mechanism, and is configured to include a detection device for detecting the rotation angle of the foregoing rotating mechanism; The computing device is used to calculate the interference area based on the rotation angle of the rotating mechanism detected by the aforementioned detection device; and the verification device is used to perform the interference verification based on the interference_area calculated by the aforementioned computing device. Furthermore, the present invention is to make the working disk of the rotation mechanism to be an axis revolver in an axis perpendicular to the axis direction of the main shaft. Β The invention is to make the calculation device recalculate the interference area when the rotation angle of the rotation mechanism is changed. . Furthermore, the aforementioned detection device of the present invention is a person who confirms whether the rotation angle of the rotating mechanism is changed every certain period. Furthermore, the present invention further includes: a memory device for memorizing the size of the work disk and the diameter of the main shaft; and the calculation is based on the detected rotation angle of the rotating mechanism and the size of the work disk and the diameter of the main shaft stored in the memory device. Calculate the state structure of the interference area. Furthermore, the present invention further includes: a memory device for memorizing a tool length and a tool diameter of a tool used for processing; and using the aforementioned calculation device according to the rotation angle of the rotation mechanism detected and memorized in the aforementioned memory device The size of the work plate, the tool length, and the tool diameter are used to calculate the interference area. -^ ----------------- ^ (Please read the notes on the back before filling out this page) This paper size is applicable to the national standard of difficulty (CNS> A4 specification (21G X 297 Gongai 4 311357 Λ7 ---- SL ---- 5. Description of the invention (5) Based on these structures, the state of the interference area such as the work disc and tool of the rotation order, the rotating work disc and the spindle can be calculated in real time. Even when controlling an NC working machine that performs various surface processing of workpieces by rotating the work plate, it is possible to perform simple and accurate calibration. [Simplified Description of Drawings] Fig. 1 illustrates the first embodiment to the third embodiment of the present invention. The figure of the calculated interference area of the embodiment. Fig. 2 is a block diagram showing the hardware configuration of the first to third embodiments of the present invention. Fig. 3 is a diagram showing the first to third embodiments of the present invention. The flow chart of the operation of the example. Fig. 4 is a view showing a second embodiment of the present invention mounted on a spindle tool. Fig. 5 is a perspective view showing an NC work machine having a work disc rotation mechanism to which the present invention is applied. Figure 6 is a diagram illustrating the past shortcomings. Economic Village 'tt.a Hui Property Bureau staff consumption cooperation Print

[Symbol description] 1, 4 spindles 2 tilting working plate 5 A axis 6 working plate 9, 31, 32 coordinates 10 machine tool 11 X-axis working plate 12 γ-axis carcass 13 z-axis sliding plate 14 c-axis 15 rotating car 16 tool 20 Processor 22 ROM This paper is again suitable for China National Standard (CNS) A4 specification (21〇X 997 public love) 311357

-ΤΪΙΙΙΙΙΙΙΙΙΙΙΙΙ — -------- ^ > i ---- I I (Please read the notes on the back before filling in this page J 4495 2 6 A7

V. Description of the invention (6) 23 RAM 25 control panel 25b display device 25d software key 27 servo amplifier 29 bus 24 25a 25c 26 28

Non-volatile memory. Hidden n Graphic control circuit Keyboard axis control circuit Programmable controller PMC Printed by the Consumer Cooperative of the Intellectual Property Bureau of the Ministry of Economic Affairs [Example] The first implementation side is used below Figures 1 to 筮 π Figures 3 and 3 Fig. 5 illustrates the first embodiment of the present invention in detail. Fig. 1 is a diagram for explaining the interference area of the window quality worker and earth moon shoulder. Fig. 2 is a diagram showing the hardware structure. / 士> + _ Mama is a flowchart illustrating the operation. FIG. 5 is a perspective view showing an NC working machine having a work-like plate rotation mechanism to which the present invention is applied. First, the interference verification method according to the embodiment of the present invention will be described using FIG. 1 and FIG. 5. In addition, the working machine shown in Fig. 5 has a tilting worktable 2 and a rotating worktable 15, but in this embodiment, the interference of the worktable surface on which the workpiece 3 is placed (in this case, the upper surface of the rotating worktable I5) is taken as the interference. The object, even after the rotation of the rotating worktable 15 (rotation around the vertical axis 14 as the center), there is no change in the surface of the worktable 2 ', so the following description will omit the rotating worktable 15' for simplicity and only use the inclined worktable 2 is called the work plate description (however, it is considered that the upper surface of the work plate is consistent with the upper surface of the rotating work plate 15. First, the case where the work plate is rotated in the positive direction ~ + 90.):. --------- Line. 1 C 谙 Please read the notes on the back before writing this page) This paper size is applicable to National Standard (CNS) A4 (210 X 297 mm) 6 311357 A7 A7 Printed by Fei Hedu, Bureau of Intellectual Property, Ministry of Economic Affairs B7 V. Interference area of invention description (7). In the first figure, area 1 represents the interference area of the main axis 4 ° Ymin + represents the minimum value of the Υ coordinate of the interference area when rotating in the positive direction, and Zmax + represents the maximum value of the same Z coordinate. The center coordinate of the rotary cymbal 5 of the work plate 2 is marked as (Υ〇, Z0) 'The length from the center of the work plate 2 to the end is C, and the distance from the center of the rotation shaft 5 to the work plate is η' The coordinates of points P1 and P2 in Figure 1 are: P1: (YO + Hsin ^ -Ccos ^-Z0- Hcos Θ -Csin0) P2: (YO + Hsin Θ + Ccos Θ 5 Z0- Hcos Θ + Csin Θ) Because of this, Ymin + and Zmax + become,

Ymin + (0) = Y0 + Hsin 0 -Ceos 0,

Zmax + (β) = Z0-Hcos 0 + Csin 0 Furthermore, the points (γ, z) on the line connecting the PI point and P2 point become, (Z- (Z0-Hcos 0)) = (Y- (Y 〇 + Hsin 0)) tan 0. Due to this, the interference region 1 when rotating in the positive direction in Figure 1 becomes (Z- (20-Hcos Θ)) ^ (Y- (Y〇 + Hsin Θ)) tan θ '(Y ^ Ymin +' Z ^ Zmax +) Next, the interference area in the case of rotation in the negative direction (0 = -90. -0 °) will be described. The area 7 in the first figure represents the interference area of the main axis. Ymax- represents the maximum value of the Y coordinate of the interference area when rotating in the negative direction, and Zmax- also represents the maximum value of the Z. coordinate. Ymax- and Zmax- are from the coordinates of the aforementioned PI and P2,

Ymax- (Q) = Y〇 + Hsin Θ + Ccos θ, ^ Qiax- (0) = Z0-Hcos6? -Csin6 * The interference area 7 when rotating in the negative direction in the figure below is represented by the following formula: 4 sheets . ^ 相 '^ National Standard (CNSM4 Specification C 297 Public Love) ------- I ------------- Order --------- (Please read first Note on the back page, please fill in this page again) 449526 .A7 ____B7 V. Description of the invention (8), (Z- (ZO-Hcos0)) ^ (Y- (Y0 + Hsin (9)) tan < 9 (Y ^ Ymax- * Z ^ Zmax-) In addition, when the diameter of the end of the main shaft 4 has a diameter D, when the center coordinate of the end of the main shaft 4 becomes (γ, z), it is necessary to verify the position of the interference point 6 of the work plate & And it can be represented by (Y + D / 2, Z). And, the diameter d can be supplied by parameters, etc. Because of this, after checking whether the interference area in Fig. 1 contains (Y + D / 2, Z), It can be judged whether it is possible to move or not. When the work disk is rotated in the negative direction, the coordinate of point 9 that needs to be checked becomes (Y_D / 2, z), so that the point and the interference area 7 are checked. General NC working machine Since the work plate is fixed, the interference area will not be changed during processing. Once you only need to set the interference area, To reset again, but in the case of an NC working machine with a worktable rotation mechanism as shown in FIG. 5, the interference area changes during processing. In the embodiment of the present invention, the area is recalculated every time the worktable 2 rotates. Secondly, “the interference verification between the main shaft 4 and the work plate 2 will be described in detail using FIG. 1 to FIG. 3 and FIG. 5. FIG. 2 is a diagram showing the hard structure of the numerical control device of the embodiment. The machine 20 is the center structure. The processor 20 reads out the system program containing the program for interference checking in this embodiment and stored in the ROM 22 via the bus 29 ', and controls the numerical control device based on the system program. The RAM 23 is temporarily accommodated. Calculation data, display data, input and output signals, etc. The non-volatile memory 24 uses a battery not shown in the figure as the CMOS behind the power supply, and it can still memorize this paper size even after the power is cut off. The Chinese standard (CNS) ) A4 specification (210: < 297 mm) (Please read the precautions on the back before filling out this page) Installation ----Order il-丨 Line Intellectual Property Bureau of the Ministry of Economic Affairs Printed by Du Du 8 8 311357 Printed by employees of the Intellectual Property Bureau of the Ministry of Economic Affairs, printed by the cooperative A7 — B7 V. Description of the invention (^) The parameters that must be kept include the processing program of the rotation angle 0 of the work disk 2 described above. Offset (off set) number of tool length (tool length L shown in Figure 4), tool diameter (tool diameter rule shown in Figure 4) and other tool compensation data, pitch error compensation data, spindle end Diameter D and so on. Furthermore, the non-volatile memory 24 memorizes the center coordinates (Y0, Z0) of the rotation axis 5 of the work disc 2, the length c from the center to the end of the work disc 2, and the center c of the rotation axis 5 to the work disc 2. The distance between the data and so on. The control panel 25 includes a graphic control circuit 25a, a display device 25b, a keyboard 25c, and software keys 25d. The graphic control circuit 25a converts the image information sent from the processor 20 into a displayable signal, and outputs the signal to the display device 25b. The display device 25b uses a CRT or a liquid crystal display. On the keyboard, set the operation keys or function keys used for data input. The software key 25d changes the content indicated by the key in accordance with the screen selection of the operator, and the required key is displayed on the screen. The axis control circuit 26 receives the movement command of the axis sent from the processor 20 and outputs the movement command of the axis to the servo amplifier 27. The servo amplifier 27 is a servo motor that amplifies the movement command and thereby drives the NC work machine coupled to the NC working machine shown in FIG. The servo motors are respectively engaged with the X, Y, Z, A, and C axes of the NC working machine shown in Fig. 5, thereby controlling the relative movement of the tool stolen by the NC working machine and the workpiece. In addition, the dry control circuit 26 and the temple service amplifier 27 are set according to the number of axes of the servo motor. Β Programmable controller PMC (Prgramable machine controller) 2 8 Passes the bus 2 9 and is received by the processor 2 0 ) Function signal, s (mandrel speed control) function signal, T (tool selection) function signal, etc. ^ And, this paper standard applies to China National Standard (CNS) A4 specification (210 * 297 public love) 311357 ----- ------------------------- (Please read the notes on the back before filling out this page) 449525 A7 B7 V. Description of the invention (10) The signals are processed by a sequence program to output signals from the wheels, thereby controlling air compressors, hydraulic machines, electromagnetic actuators, etc. in the working machine. Furthermore, it also accepts signals such as button signals, switch signals, and limit switch signals of the machine operating panel in the work machine, and performs sequential processing, and transfers necessary input signals to the processor 20 through the bus 2 9. The hardware configuration of the numerical control device of this embodiment is as described above. Next, the detailed operation of the interference check between the main shaft 4 and the work plate 2 will be described using the flowchart in FIG. 3. In addition, the flowchart in Fig. 3 shows the steps β from receiving the machining instruction to moving, that is, respectively, 51: The machining instruction is read from the machining program and the like. 52: Implement compensation processing. An interference check is performed in this process. The specific processing of this step (S11 to S19, S23 to S26) is explained below. SH: Calculate the moving amount FAT per unit time. F is the moving speed and ΔT is the cycle of the compensation process. The following processes are executed every cycle. Secondly, the interference area is calculated based on the current working disk rotation angle 0 specified by the machining program, and an interference check is performed (S12 to S17). The coordinate of the FAT after checking the interference point is (Ynew, Znew) (when rotating in the positive direction, Ynevvr = Y + D / 2, Znew = Z, when rotating in the negative direction, 'Ynew = YD / 2, Znew = Z) 'The rotation angle of the work plate is determined as Θ new, and the interference check is performed by the following method. S12: Determine whether the rotation angle 0new of the work disc is Θ new 2 0. And when 0 new20, move into times-steps S13 to S16. S13: Calculate the z-axis boundary value Zmax + (0new) of the interference area. This paper size applies to China National Standard (CNS) A4 specifications (210 X 297 public love) (Please read the precautions on the back before filling this page)-Install i —! — — Order ------- Line Economy Printed by the Ministry of Intellectual Property Bureau's Consumer Cooperatives 311357 A7 B7 V. Description of the Invention (11) Condition 1 Check Znew > Zmax +. When this condition is met, it will be movable because it has not entered the interference area. (Please read the note on the back first) Please fill in this page again when S15 'does not meet the condition 1. The second value of the γ-axis boundary Ymin + (0 new) is calculated next. 516 • Condition 2: Check Ynew < Ymin +. It also becomes mobile when this condition is satisfied. In S12 When it is judged that it is $ new < 0, it moves to steps s23 to S26. 523. Calculates the Z-axis boundary value Zmax- (0 new) of the interference area. 524. Condition 1: Check Znew > Zmax. The interference area becomes movable S25. When the condition 1 described above is not satisfied, the boundary value Ymax- (0 new) of the γ axis is calculated next. S26. Condition 2 • The check Ynew > Ymax_. When this condition is satisfied, it is also movable. When the condition 2 of S16 or S26 is not satisfied, move to the next step sn. 517 : Condition 3: (21 ^ world. (2〇-; «(; 〇3 0 1 ^ review)) > (丫 1 ^ 你-(YO + Hcos 0 new)) tan 0 new becomes possible when condition 3 is satisfied Moved. Printed by the Consumer Cooperative of the Ministry of Economic Affairs and the Production Bureau. S18: When any of the conditions 1 to 3 described above becomes movable because the position of the main shaft end after the movement does not enter the interference area, it actually moves. S1 9. When none of the conditions 1 to 3 described above are satisfied, it is clear that the spindle end and the work plate interfere with each other after the movement, so it immediately stops and issues an alarm, and when the aforementioned conditions of S 14 to S16 have been met and become movable It is not necessary to perform the subsequent steps. The size of the wood paper is applicable to the Chinese national standard (CJ \ TS) A4 (210 X 297 mm) 311357 443520 Otherwise, return to A7 B7 V. Description of the invention (I2) S3: Move to the processing instruction Step 52 is completed at the end point. The interference check β difference between the main shaft 4 and the work plate is performed as described above. 2 Embodiment The first embodiment described above is to explain that the length and diameter of a tool that does not take into account the main light! The situation of the interference check between the spindle 丨 and the work plate 6, In the second embodiment, the case where the length and diameter of the tool 16 which is considered and installed on the spindle i is considered and the dry calibration of the spindle i and the work plate 6 will be described using FIG. 4 is shown in FIG. The length from the end face of the spindle to the front end of the tool 16 is set to L, the tool radius is set to R, and the center coordinate of the end face of the raw shaft is set to (^, Z). The coordinate 31 of the point of interference is represented by (Y + R, ZL). When β is rotated in the negative direction, the coordinate 32 of the point that must be checked is represented by (YR, 2-L). Since this' is the same as the previous embodiment, after the verification conditions 1 to 3, the interference verification of the main shaft 4 and the work plate 2 considering the length and diameter of the tool 6 can be performed. Experimental Example 3 Next, a case where both the diameter of the spindle end and the tool are considered will be described. First, when the work disc is rotated in the positive direction, in the interference area verification (314, 516, 5〗 7) of the flowchart in Fig. 3, when the center coordinate of the main shaft end face is (Y, Z), The 6-point (Y + D / 2, Z) and coordinate 31 (Y + R, ZL) 2-point calibration is performed to check the interference of the work plate. When the work plate rotates in the negative direction, the point verified is the coordinate 9 (Y_D / 2, Z), the coordinate | (谞 Please read the precautions on the back before filling this page) -------- ^- ------- Λ Printed by the Consumers' Cooperative of the Intellectual Property Bureau of the Ministry of Economic Affairs, the paper size is applicable to the Chinese family standard (CNS) A4 specification (210 X 297 public love) 12 311357 A7 V. Description of the invention (13) 32 ( YR, Z_L). The other is the same as the aforementioned implementation, the second embodiment. The foregoing embodiment shows the case where the end face of the main shaft and 渉 枋 谇 π + + $ t are used to perform a dry check, but it is also possible to check most points of the tool. As described above, according to the present invention, due to the change of the interference area of the working τ ^ ® itself, the interference between the eight systems and the work plate has changed the previous procedures for interference verification, and even if it is not possible to respond to the 2NC industrial IF Calculate the interference area in real time to perform interference check, and the results can be advanced to prevent the use of various programs (the accident between the tool system and the work plate caused by mistakes and other accidents is not a problem) "Furthermore, not only the main shaft end can also Perform an interference check at the end of the tool. [Effects of the Invention] As described above, the numerical control device of the present invention has the effects described above, and can be applied to interference verification of a numerical working machine including a rotating mechanism of a rotating worktable. Packing -------- Order --------- line (Jing first read the notes on the back before filling this page)

The size of the clothing paper is applicable to the Chinese National Standard (CNTS) A4 (m × X 297 male S 13 3) 1357

Claims (1)

44S5 2 6 A8 BS C8 D8 Printed by the Consumer Cooperatives of the Intellectual Property Bureau of the Ministry of Economic Affairs 14 VI. Patent application scope 1. A numerical control device that controls the working machine that passes k processing workpieces on a working plate with a rotating mechanism to perform processing The numerical control device includes: a detection device for detecting a rotation angle of the rotation mechanism; a calculation device for calculating an interference area based on the rotation angle of the rotation mechanism detected by the detection device; and a verification device for calculating the interference area according to the foregoing An interference check is performed on the interference area calculated by the computing device. 2- As the numerical control device of the first scope of the patent application, wherein the working plate with the aforementioned rotating mechanism rotates with the surface perpendicular to the axis direction of the main shaft as the center β 3 · The numerical control device of the first scope of the patent application Wherein, the aforementioned computing device recalculates the interference area when the rotation angle of the rotating mechanism is changed. 4. For the numerical control device according to item i of the patent application scope, wherein the aforementioned detection device performs confirmation when the rotation angle of the rotating mechanism is changed or every certain period. 5. For example, the numerical control device of the scope of application for patent, which further includes a memory device 'for memorizing the size of the aforementioned working plate and the diameter of the main sleeve, and stating that the calculation device is based on the rotation of the rotating mechanism detected above. The interference area is calculated by the angle and the size of the work plate and the diameter of the main body stored in the memory device. 6. For example, the numerical control device of the scope of the patent application, which also includes the sjiyi device 'to memorize the tool length and tool diameter of the tool used for processing' and the aforementioned calculation device is based on the detected rotation The rotation angle of the mechanism 'and the working disk size, tool length, and tool diameter stored in the aforementioned memory device are used to calculate the interference area. This paper is fully compliant with the National Standard (CNS) A4 (210 ^ 297 mm) 311357 ------------ _ Clothing -------- Order ----- ---- Line (Please read the notes on the back before filling in this page)