Application of double arc method in numerical control wire cutting

In CNC wire cutting, according to the processing needs, a set of NC machining programs for the impeller groove and the blade should be prepared.

In the processing of the impeller groove, the movement track of the center of the wire is enveloped along the theoretical line of the groove, and its envelope value is the wire radius plus the discharge gap.

When the blade is processed, the wire is enveloped along the theoretical line, and the envelope value is the wire radius plus the discharge gap minus the one-side gap of the blade and the impeller groove is 0.02 mm. Since the numerical control devices of most CNC machine tools only have linear and circular interpolation functions, when cutting the above list curves online, they must first be converted into straight lines or arcs.

The double arc method is used to fit the points of the groove line into several circular arcs which are tangent to each other, and obtain a series of arc radius values ​​and center coordinates, and specify that the radius of the arc is negative and the inverse arc is positive.

According to the direction of the programming route and the inner and outer envelopes of the profile, determine the positive and negative of the envelope value, and add the radius value of each arc of the theoretical profile to the given envelope value to obtain the impeller groove or blade processing. Electrode wire motion trajectory. Finally, through the post processing of the source program, the numerical control wire cutting processing program of the impeller groove or the blade is obtained. The double arc method can ensure that the first derivative of the approximation line is continuous at each given point, and has better fitting precision. The calculation method is simple and adaptable, so it is often used in the automatic programming list curve processing.

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