Asymmetrical-loading integral circular interpolation method of numerical control system
A circular interpolation, numerical control system technology, applied in general control system, control/regulation system, program control and other directions, can solve the problems of increasing machine tool cost, high hardware requirements, complex algorithm and so on
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Embodiment 1
[0034] Interpolate the arc AB with the asymmetric loading integral arc interpolation method, the starting point coordinate of the arc AB is A(20,0), and the end point coordinate is B(0,20), then the proportional coefficient q=max( x 0 ,y 0 , x e ,y e )=max(20, 0, 0, 20)=20, its interpolation trajectory is as Figure 6 As shown, the x-axis pulse distribution waveform is as Figure 7 As shown, the y-axis pulse distribution waveform is as Figure 8 shown.
[0035] The interpolation of the arc AB can be obtained by comparison, the interpolation times of the traditional integral circular interpolation method is 51 times; the interpolation times of the asymmetric loading integral circular interpolation method is 31 times. The number of imputations is reduced by 39.216%.
[0036] image 3 and Figure 6 By comparison, it can be calculated that the maximum interpolation error of traditional integral circular interpolation is The maximum interpolation error of the asymmetric ...
Embodiment 2
[0043] Use the asymmetric loading integral circular interpolation method to interpolate circular arc AB. The starting point coordinates of circular arc AB are A(7,1), and the end point coordinates are B(5,5), so the number of pulses is q= max(x 0 ,y 0 , x e ,y e )=max(7,1,5,5)=7, its interpolation trajectory is as Figure 12 shown. The interpolation of the arc AB can be concluded by comparison that the interpolation times of the traditional integral circular interpolation method is 6 times; the interpolation times of the asymmetric loading integral circular interpolation method is 4 times, and the interpolation times A reduction of 33.333%. and figure 1 In comparison, after the interpolation ends, the actual tool position just falls on the end point coordinate B(5, 5). The x-axis pulse distribution waveform is as Figure 13 shown, with Figure 10 In comparison, the maximum pulse interval is reduced from 5 to 2. The y-axis pulse distribution waveform is as Figure 14...
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