JPH011004A - Shape definition method - Google Patents

Abstract

(57) [Summary] This bulletin contains application data before electronic filing, so abstract data is not recorded.

Description

[Detailed Description of the Invention] [Industrial Application Field 71] The present invention relates to a figure definition method, and particularly to a figure definition method in which the bottom and top surfaces of an automatic programming device for numerical control are parallel, the shape of the bottom surface is different from the shape of the top surface, and The side surface is the shape formed by the movement of a straight line connecting one point on the bottom edge and one point on the top edge when these points are rotated in the same direction along the bottom green and top edge. The work of
For example, when creating a numerical control program for machining with wire force/sol discharge machining, the necessary figure definitions are performed using the following technology: Define the plane shape at one height position as a baseline figure, and change the plane shape according to the height change defined separately (deform the shape according to the drawn figure (feed line figure), By creating the numerical control data for the planar shape that was created, the shape of the workpiece, which has a different planar shape depending on the height, was defined and machining data was created.

Figures 3(a) to 3(C) are diagrams for explaining the definition of work force shape using such a conventional numerical system (ready-to-use automatic programming device) using an example. Figure 3(a) shows the baseline figure. 3.Baseline figure 3 is X)'
Z coordinate X,) A square with sides parallel to the ° axis,
The center is at the origin of Y. Figure 3 (b) and (c) show the foot line 1.2, in this example the feeder 2 in 1
is a straight line from ZL to 78, which is the height (Z-axis direction) tilted with respect to the Z axis on a plane parallel to the It is a straight line from the inclined height ZL to ZH.When moving the lower end of the feed line 1 along the left and right sides of the baseline figure 3, it is the opposite of what is shown in Fig. 3(b). the lower end of the feed line 2 along the upper and lower sides of the baseline figure 3 (when moving along the lower side, the lower end of the feed line 2 is
The inclination is opposite to that shown in Figure (c)) The workpiece formed by the plane formed by the feed line 1.2 when moved) or the workpiece 24 shown in Figure 3 (()) (Workpiece 4 The bottom and top surfaces are processed separately).

Wire cutter I - By using an electric discharge machine, tilt the machining wire as shown in the feed line 1.2 and move one end of the machining wire along the paces 9, 12 figure 3 to cut the workpiece 4 by 1''+, 2 and 3. Can be done.

1' Problems to be Solved by the Invention] In the conventional figure definition method described above, a workpiece whose bottom surface shape and top surface shape are completely different, for example, the workpiece 5 shown in FIGS. 2(a) and 2(b), (When defining the shape of a curved surface whose bottom is a circle and whose top is square, and whose sides are obtained by moving a feed line that passes through the bottom green and the top edge, the feed line changes continuously along the baseline shape. 1
However, it is not only difficult to determine the feed line, but also because there are countless feed lines, it is not possible to define the figure, and therefore it is not possible to create one piece of machining data.

[Means for solving problems]

In the figure definition method of the present invention, the bottom surface and the top surface are parallel to each other and have different shapes, and the side surface is such that a straight line connecting a point on the edge of the bottom surface and a point on the edge of the top surface connects each of these points to the bottom surface. and a figure definition method that defines a cross-sectional shape cut by a parallel plane parallel to the bottom surface and the top surface of a shape formed by a movement made when making one turn in the same direction along each of the top surfaces, dividing means for calculating coordinate values of a plurality of divided parts obtained by subdividing corresponding parts of the green on the top surface and the edge of the bottom surface by the same number of divisions; and coordinate value calculation means for determining the coordinate values of the corresponding portions of the cross-sectional shape of the parallel plane.

〔Example〕

Next, the present invention will be explained with reference to the drawings.

FIG. 1 is a block diagram of one embodiment of the present invention. Define the lines forming the edges of the two sides of the workpiece to be machined and the shape of the bottom face of the workpiece as straight lines or arcs divided into the same number of parts so that the top and bottom faces correspond to each other in the order of machining. For example, in the workpiece 5 shown in FIGS. 2(a) and 2(b), the figure on the top surface is divided into straight lines 11, 12, 13, and 14, and the figure on the bottom surface is correspondingly divided into straight lines 11, 12, 13, and 14. Input device 1 for dividing the work into arcs 21, 22, 23, and 24 7 and inputting the height of the top surface and the height of the bottom surface of the workpiece
The division unit for arc division (detailed explanation) input from 01 is the input device 10.
1, figure division step...knob unit memory 10
2, and the dividing unit of the height component is stored in the input depth and height position step unit +@ device 103.

The graphic definition of the top surface shape and bottom surface shape of the workpiece input manually from the input device 101 is performed by the definition graphic analyzer 104.
The type of figure (arc or straight line) and x, y at the start and end points of each segmented line.

The shape correspondence discriminator 105 converts the Z absolute coordinate value, the traveling direction vector, and, in the case of an arc, the arc radius into analysis data. Based on the analysis data of the starting point and end point of each segmented line, it is determined whether it is necessary to divide each segmented line into a plurality of short straight lines. In other words, if the lines that separate the top and bottom surfaces are both straight lines, or if they are both circular arcs and the radius and direction vector are exactly the same for both the starting point and the ending point, decomposition is not necessary.In other cases, the figure decomposer 10
(Thus, first, the segmented arc of either the top or bottom surface is divided into straight lines at the injection position indicated by the arc disassembly step/tub unit storage unit 102. Direct disassembly of this arc is performed as follows.

As shown in FIG. 4, the advancing vector at the starting point 32 of the arc 31 is [-s i rrδ, cos δ]1 The advancing vector at the end point of the arc is [-5 in (θ+δ), cos (θ+δ)]1
The arc radius is r1, and the division unit is 8l, where δ is the angle between the line connecting the center 3tl of the arc 31 and the starting point 32 and the X direction, and θ is the central angle of the arc 31.

cosθ=COS(θ+δ−δ)=cos(θ+δ)
COS δ+5in(θ+δ>s in
δ sin θ = sin (θ + δ - δ) = sin (θ + δ)
cos δ−5in δsos (θ+δ) function (using the system, co
After sθ and sinθ are determined, the central angle θ can be obtained using inverse trigonometric functions.

And the number of divisions n based on the division unit Δe is.

The figure decomposer 106, which satisfies n=1rθ/Δe1, divides n of the line dividing the shape of the top surface and the corresponding line dividing the shape of the bottom surface based on the obtained division number n.
Perform re-division by equal division. At this time, if the divided lines of the top and bottom surfaces are both arc components, the number of divisions n□ for the top surface and the division for the bottom surface obtained as above. The larger number of divisions between the numbers n and - is adopted as the number of divisions n of both the arcs into which the top and bottom surfaces are divided. Re-division by the number of divisions n is obtained as follows.

Starting point coordinates (Xs, Ys), ending point tM −
(X t-.

Yε), the radius r and the coordinate value of the i-th divided part from the L starting point side are X,, '1', ○When dividing a straight line, X1=X5+X -X i -Y YI=Ys+ i 7c When dividing an arc, the angle between the starting point and the ending point is θ, so the central angle θ1 of the arc between the starting point and the i-th divided part from the starting point is θ1 = (θ・'n)・i. Become. The starting point progression vector is [-5inδ.

COSδ], so the coordinates of the center of the arc (Xo).

Yo) is XO=X5−rcosδ Y, )=Y5-rs i nδ.

Therefore, the coordinate value at the th division part is X+ =X
(+ +rcos (δ+θ+) =X 5-rco
sδ+r cos δ cos θ ward − r sin 8 sin θI Y, =Y,, +rs in (δ+θ1)=Ys
−rsinδ+rsinδcosθ笈jursin
θICO3δ ・5 This calculation is performed for each divided portion of the top surface and the bottom surface, and the coordinate values (Xo+, Yo+) of each divided portion of the top surface are obtained.

ZH), coordinate values of each divided part of the bottom (XLI, YL+
.

ZL) is output as multiple pairs of data. The height position calculator 107 calculates a plurality of heights by dividing the area between the top surface height Z11 and the bottom surface height zL stored in the height position step unit storage 103, and sequentially calculates the heights in the plane of each height. Define the cross-sectional shape of the workpiece.

Next, the definition of the cross-sectional shape of the workpiece in the plane of height ZM will be explained, assuming that one of the divided heights is ZM.

If one of the lines dividing the shape of the top and bottom surfaces is a circular arc and the other is a straight line, or if both are circular arcs but the radii or the starting point or end point traveling direction vector are different, the line was calculated as described above. Coordinate values of each divided portion of the top and bottom surfaces (XHI, Yu++ Z)I)
, (XLl, 't'L+, ZL), the coordinate value calculator 108 calculates the corresponding coordinate values of the cross-sectional shape of the height ZM of the workpiece2. That is, the coordinate value calculator 108 calculates the coordinate values (Xu+,
YHl, ZH) and za (Susaki (X eyes, 'Y'L1. Z
The value of L) is the height Z M C:
l, YMI, ZM) As can be seen with reference to Figure 5, this position can be found by the following formula.

X~++= (Xn+Zt XLIZII X old Z
M+XLIZM > (ZL ZH))-q+:
('Y'HIZL Yt+Zn YHIZM+
YLIZM ) '' (ZL Zll ) Add coordinate values (\, N, YM
1, ZM), the numerical control data creator 109 transforms the numerical control data generator 109 into a format for wholesale data (Q,
The data for direct control, which creates the processed data, is outputted by the output medium 110 such as Lee's tape.

If the lines dividing the top and bottom shapes are both straight lines, the corresponding part of the cross-sectional shape of the workpiece height ZM will be a straight line,
If both the radius and the vector in the traveling direction of the starting point and end point are circular arcs, the height of the workpiece is 2. The corresponding parts of the concave shape have the same radius and the traveling direction vectors of the starting point and ending point have the same circular arc.If the lines dividing the top and bottom shapes are both straight lines, In the case of the same circular arc, send the coordinates of the starting point and end point of the divided line of the upper and lower surfaces to the coordinate value calculator 108, and calculate the above-mentioned location a
A straight line or arc whose starting and ending points are the coordinates obtained in the same manner as YMl is defined as the corresponding part of the cross-sectional shape of the workpiece height ZM.

In addition, the present invention can be used to create a toologram for numerical control of wire force and electric discharge machining as well as for creating a tourogram for numerical control of milling. The invention provides a decomposition means for subdividing the edges of the top and bottom surfaces, and a coordinate value calculation means for calculating the coordinate values of a portion corresponding to the divided portion of the top and bottom surfaces of the cross-sectional shape on a plane cE parallel to the top and bottom surfaces. , has the effect of easily defining the cross-sectional shape of a workpiece whose side surface is a linear moving surface connecting the edges of the top and bottom surfaces.

[Brief explanation of the drawing]

Figure 1 is a professional diagram of an example of a cannon according to the present invention, No. 211.
] (,=t) and (b) are the plan view and i:liN diagram of the workpiece for explaining the 11 figure definition equations of the example shown in FIG. l; e These are diagrams for explaining the three formulas for defining figures, respectively: a plan view of the base line, a front view of foot line 1, a side view of foot line 2, and a $[view] of work 4. A diagram of a circular arc 31 for explaining the figure decomposer 106 shown in FIG.
FIG. 5 is a diagram showing straight lines connecting corresponding divided portions of the upper and lower surfaces for explaining the coordinate value calculator shown in FIG. 1. 101... Input medium, 102... Figure division step...
Knob unit layer + i device, 103... Height position station... Knob unit memory device, 104... Definition figure analyzer, 105...
Figure correspondence 4'11 separate device, 106... figure decomposer, 10
7... Height position calculator, 10S seat (Susaki calculator, 1
09... Numerical control data creator, 110... Output medium.

Claims (1)

[Claims] The bottom surface and the top surface are parallel to each other and have different shapes, and the side surface is such that a straight line connecting a point on the edge of the bottom surface and a point on the edge of the top surface is the same along each of the bottom surface and the top surface, respectively. In a figure definition method that defines a cross-sectional shape cut by a parallel plane parallel to the bottom surface and the top surface of a shape formed by a surface formed by the movement made when the direction is rotated once, green on the top surface and green on the bottom surface dividing means for determining the coordinate values of a plurality of divided parts obtained by subdividing corresponding parts of the edge by the same number of divisions; and a dividing means for determining the coordinate values of a plurality of divided parts obtained by subdividing corresponding parts of the edge by the same number of divisions, and a dividing means for determining the coordinate values of the corresponding divided parts of the top surface and the bottom surface. A figure definition method characterized by comprising: a coordinate value calculation means for determining the coordinate values of a part.