Analysis and evaluation of four indexes of CNC machining interpolation algorithm in Shenzhen prototype factory

analysis of the four major indicators of the CNC machining interpolation algorithm in Shenzhen prototype factory

1. The stability index

interpolation operation is an iterative operation, that is, the calculation result of this time is obtained from the last calculation result: Xi = Xi-1 & Delta; I. As a numerical calculation, there will be calculation errors and rounding errors in each calculation.

calculation error: refers to the error caused by the use of approximate calculation;

Rounding error: refers to the error generated when the calculation result is rounded.

for an algorithm, the error may not accumulate with the increase of the number of iterations, and the error of the other algorithm may accumulate with the increase of the number of iterations, then, whether an algorithm has an accumulation effect on the calculation error and rounding error is the stability of the algorithm.

The interpolation algorithm must be stable in order to ensure the accuracy of contour machining. The sufficient and necessary condition for the stability of the interpolation algorithm is that in the interpolation calculation process, the rounding error and calculation error do not accumulate with the increase of the number of iterations.

2. Interpolation accuracy index

interpolation accuracy refers to the degree of conformity between the interpolation contour and the given contour, which can be evaluated by interpolation error.

interpolation errors include: Approximation error & delta; . Calculation error & delta; C. Rounding error & delta; R.

approximation error and calculation error are closely related to the interpolation algorithm.

requirements: interpolation error (Trajectory error) Not greater than the minimum motion instruction or pulse equivalent of the system.

3. The uniformity index of the synthesis speed

The uniformity of the synthesis speed refers to the feed of each axis output by the interpolation operation, the actual speed of the motion synthesis is consistent with the given feed speed, described by the speed uneven coefficient:

4. The interpolation algorithm should be as simple as possible, and it should be convenient for programming, F-The given feed rate; Fc-Actual synthetic feed rate. The synthetic feed rate Fc is obtained by a series of transforms at a given feed rate, and the change process must produce errors, with the consequence that Fc deviates from F or Fc fluctuates up and down F. If the deviation or fluctuation is too large, it will inevitably affect the processing quality and productivity of the parts. If the fluctuation is too large, it will cause excessive vibration and noise in the processing process and reduce the service life of the tool and machine tool.

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