【正文】
working procedure left, the right two sides surface launches the curve, this width is Bi, processes the cutting tool radius is r (obviously 2r ≤ Bi), processes this cavity to be left, the right side knife position path launches the curve is CLli and CLri ,supposes Po is in a trough cavity middle line spot, Po is the trough cavity middle line in the Po place law arrow, Then is left, the right knife position path launches in the curve corresponding points pli and the pri putational method is: (1) Figure 2 column cam path twodimensional developed view Po along the trough cavity middle line migration, namely may extract this working procedure knife position path to launch curveXS in the XOS plane。 Because the trough cavity width is big, Therefore, except the trough working procedure and a rough machining working procedure part of knives positions path may along beside the trough cavity middle line production, other knife position paths then must be along the trough cavity center alignment left, are right nearby two according to the Corresponding . Figure 1 column cam path twodimensional developed view Second, Solution model In the column cam path numerical control processing, how extracts in each working procedure to process two sides surfaces the knife position path is key. Regarding the periphery on cam path, usually is launches first the round cylinder, extracts this working procedure in the XOS plane to process two sides surfaces the knife position path to launch curve XS。, along with θ increasing, angle error bigger, the trumpetshaped object phenomenon is also more serious. The actual processing appears the phenomenon is pletely consistent with the above analysis, this explained formula (3) the analysis is entirely accurate. trough column cam numerical control processing coordinates transformation method May know by the above analysis, the formula (2) creates the cam path for on width under the narrow trumpetshaped object main reason is, pl and the pr point correspondence corner is defers to these two, but sl and sr which selects own arc length value sl and sr calculates are is not equal to trough cavity central point po arc length value so. Therefore, if pl and the pr point correspondence corner defers to trough cavity central point po arc length value so to calculate, may eliminate this kind of loudspeaker trough phenomenon. According to this kind of mentality, again structure coordinates transformation formula. Twodimensional launches in the plane in the round cylinder, supposes the trough cavity middle line to launch in the curve a spot is po (xo,So), processes on two sides surfaces to correspond the knife position spot in to launch in the curve the spot is pl (xl,sl) and pr (xr,pr), then, the coordinates transformation formula is: (4) The application formula (4) produces when knife position path processing column cam path, the result conforms to the above tentative plan pletely, processes the column cam path already did not have on under the width the narrow loudspeaker troug