CN104308370A - Quick circular arc cutting method - Google Patents

Abstract

The invention relates to the technical field of numerical control laser cutting machines, in particular to a quick circular arc cutting method. The quick circular arc cutting method comprises a step of conducting circular arc cutting through processing software of a laser cutting machine which is controlled by a computer, and is characterized by comprising the following steps: starting the processing software of the laser cutting machine, conducting laser cutting from a first circle; after laser cutting of the first circle; judging the positional relation between the next circle and the current circle and whether the circles are in the same direction; if yes, connecting an external common tangent and finding the next circle, or connecting an internal common tangent and finding the next circle; generating a novel cutting track, and cutting a second circle; after cutting of the second circle, judging whether the circle is the last one. Compared to the prior art, the circles to be cut can be connected along the tangent, the whole processing track is in smooth connection, and the machine tool cannot be greatly reduced in speed during the cutting process, so that the time can be greatly shortened.

Description

A kind of circular arc fly-cutting method

Technical field

The present invention relates to numerical control laser cutter technical field, specifically a kind of circular arc fly-cutting method.

Background technology

In Laser cutting process, be a basic problem to walking of different graphic cutting always.Many circle cuttings are again wherein apply a most general example, and therefore many walking of circle cutting industrially seem particularly important.

More traditional cutting regards multiple figure as to process by justifying, after a showing methods is good, cutting head need to close laser, on lift, then emptyly to move on to above figure that the next one will process, then decline, open laser, start the processing of next figure.If figure is a lot, cutting head can be elevated frequently.And due to the technological requirement of laser cutting, can only when moving stopping, the lifting of cutting head could be carried out safely, therefore each showing methods well after lathe need to decelerate to 0, cutting head could rise, accelerate sky again and move on to next source of graph, decelerate to 0, cutting head could decline, again and again, take time and effort completely, and the working (machining) efficiency of lathe is declined.

Summary of the invention

The present invention is for overcoming the deficiencies in the prior art, and the circle that will cut tangentially couples together, and whole machining locus is all smoothly connected, and lathe does not almost have large reduction of speed in cutting process, greatly saves time.

For achieving the above object, design a kind of circular arc fly-cutting method, the process software including the laser cutting machine of computer control work carries out circular arc cutting, it is characterized in that this cutting method comprises the steps: that (1) starts processing, opens the process software of laser cutting machine; (2) laser cutting is carried out from first circle; After (3) first circles complete laser cutting, judge next one circle and the position relationship when previous circle, whether be same direction, be, connect the outer tangent line that is total to and find next one circle, otherwise connect the next circle of interior tangent line altogether searching; (4) generate new cutting track, carry out cutting second circle; (5) after having cut second circle, determining whether last circle, is form the route that walks and complete cutting work, otherwise continues to judge next circle and the position relationship when previous circle.

The cut direction of current circle and next one circle is all be counterclockwise clockwise or all, then adopt outer tangent line to be altogether connected with next one circle.

Current circle is contrary with the cut direction of next one circle, then in adopting, tangent line is connected with next one circle altogether.

Compared with the existing technology, the circle that will cut tangentially couples together in the present invention, and whole machining locus is all smoothly connected, and lathe does not almost have large reduction of speed in cutting process, greatly saves time.

Multiple circle is regarded as a figure, and directly walking with tangent line between two adjacent circles replaces sky traditionally to remove position, because tangential motion, velocity variations is little, and Acceleration and deceleration time is few, so mechanical shock is also little, and good cutting effect.

Accompanying drawing explanation

Fig. 1 is program flow diagram of the present invention.

Fig. 2 is two circles is with counterclockwise, and connection is outer is total to tangent line schematic diagram.

Fig. 3 to be two circles be one counterclockwise another is clockwise, tangent line schematic diagram altogether in connecting.

Detailed description of the invention

The present invention is described further with reference to the accompanying drawings below.

As shown in Figure 1, cutting method of the present invention is a series of circle for object, and cutting method comprises the steps:

(1) start processing, open the process software of laser cutting machine;

(2) carry out laser cutting from first circle, the position of first circle then presets;

After (3) first circles complete laser cutting, judge next circle and the position relationship when previous circle, whether be same direction, connect outer tangent line altogether and find next circle, otherwise tangent line finds next circle altogether in connecting, the information that circle comprises is the center of circle, radius and cut direction, and cut direction then presets;

Judge whether with next one circle be all clockwise or counterclockwise:

A () as shown in Figure 2, if two circles are all be counterclockwise clockwise or all, then looks for the outside common tangent of two circles, specific as follows:

If the two round hearts are respectively O ₁(x ₁, y ₁), O ₂(x ₂, y ₂), radius is respectively R ₁, R ₂, suppose that two circles are all counterclockwise.

If the straight line L and the x-axis angle that connect the two round hearts are β, the point of contact of first circle is P ₁, line segment O ₁p ₁be designated as α with the angle of L, two distance of center circle are from being designated as D.

Then

$D=\sqrt{{(x_1-x_2)}^2+{(y_1-y_2)}^2},\mathrm{\α}=\arccos \left(\frac{|R_1-R_2|}{D}\right).$

Make θ=β-α, then the point of contact on two circles is respectively

(x ₁+R ₁cosθ,y ₁+R ₁sinθ)，(x ₂+R ₂cosθ,y ₂+R ₂sinθ)。

Finally, as long as it is exactly outside common tangent that these two points are connected with line segment.

B () as shown in Figure 3, if two circles one are that another is counterclockwise clockwise, then looks for the internal common tangent of two circles, specific as follows:

Mark before continuing to use: establish the two round hearts to be respectively O ₁(x ₁, y ₁), O ₂(x ₂, y ₂), radius is respectively R ₁, R ₂, might as well supposing two circles one, counterclockwise another is clockwise.

If the straight line L and the x-axis angle that connect the two round hearts are β, the point of contact of first circle is P ₁, line segment O ₁p ₁be designated as α with the angle of L, two distance of center circle are from being designated as D.

Then

$D=\sqrt{{(x_1-x_2)}^2+{(y_1-y_2)}^2},\mathrm{\α}=\arccos \left(\frac{|R_1+R_2|}{D}\right).$

Make θ=β-α, then the point of contact on two circles is respectively

(x ₁+R ₁cosθ,y ₁+R ₁sinθ)，(x ₂-R ₂cosθ,y ₂-R ₂sinθ)。

Equally, as long as it is exactly internal common tangent that these two points are connected with line segment.

(4) generate new cutting track, carry out cutting second circle;

Using the point of contact of common tangent and first circle as starting point, first circle is first paragraph cutting track, common tangent is second segment cutting track, from the point of contact of second circle and common tangent around second circle one week as the 3rd section of cutting track, first step process is repeated to second circle, again the point of contact of the point of contact of the common tangent be connected with a upper circle and the common tangent connected with next one circle is connected with small arc-shaped, as the 4th section of cutting track.

(5) after having cut second circle, determining whether last circle, is form the route that walks and complete cutting work, otherwise continues to judge next circle and the position relationship when previous circle.

The cut direction of current circle and next one circle is all be counterclockwise clockwise or all, then adopt outer tangent line to be altogether connected with next one circle.

Current circle is contrary with the cut direction of next one circle, then in adopting, tangent line is connected with next one circle altogether.

Claims (3)

1. a circular arc fly-cutting method, the process software including the laser cutting machine of computer control work carries out circular arc cutting, it is characterized in that this cutting method comprises the steps: that (1) starts processing, opens the process software of laser cutting machine; (2) laser cutting is carried out from first circle; After (3) first circles complete laser cutting, judge next one circle and the position relationship when previous circle, whether be same direction, be, connect the outer tangent line that is total to and find next one circle, otherwise connect the next circle of interior tangent line altogether searching; (4) generate new cutting track, carry out cutting second circle; (5) after having cut second circle, determining whether last circle, is form the route that walks and complete cutting work, otherwise continues to judge next circle and the position relationship when previous circle.

2. a kind of circular arc fly-cutting method according to claim 1, is characterized in that: the cut direction of current circle and next one circle is all be counterclockwise clockwise or all, then adopt outer tangent line to be altogether connected with next one circle.

3. a kind of circular arc fly-cutting method according to claim 1, is characterized in that: current circle is contrary with the cut direction of next one circle, then in adopting, tangent line is connected with next one circle altogether.