CNC machine tool track calculation

For CNC machine tools, if there is no tool compensation command, only the motion track size of the tool point can be calculated, and then programmed according to this, or local compensation processing. 1. Calculation of tool center (tool position) track CNC machine tool, if there is no tool compensation command, only the motion track size of the tool point can be calculated, and then according to this programming, or local compensation processing.
1. Calculation of tool center (tool position) trajectory
In the numerical control system that needs to calculate the tool center trajectory, the coordinates of the base point and the node on the tool center corresponding to the base point and the node of the part contour are calculated.
Figure 1 shows the tool center motion trajectory when machining a workpiece curve with a φ8 end mill. It can be seen that the tool motion trajectory is an equidistant line of the part contour, which can be obtained from the part contour and the tool radius.
Straight line equation:
When the equidistant line is above the original line, the "+" sign is taken, and the "-" sign is taken.
Round equidistance line equation:
When the equidistant line is an outer equidistant line, the "+" sign is taken, and the "-" sign is taken.
Solving the coordinates of the base points on the equidistant line, you only need to solve the related equidistant line equations in parallel. For example, the coordinates of the 3' point, the coordinates of 2 points (40, 85), and the coordinates of 3 points (70, 105).
A=y2-y3=-20
B=x3-x2=30
C=x3y2-ybx2=1750
Find the coordinates of the center of the circle as (85,105).
Two equidistant line equations are connected:
-20x+30y=1750+144.222
(x-85)+(y-105)=(15+4)
Solve x=66.134 y=107.231
That is, the coordinates of the 3' point are (66.34, 107.231), and the coordinates of other base points or nodes on the tool center trajectory can be obtained by the same method, and then programmed according to this. Http://news.chinawj.com.cn Editor: (Hardware Business Network Information Center) http://news.chinawj.com.cn

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