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如图1所示的凹圆弧面,圆弧半径R为2米,对应弦长为34mm。如此大的凹圆弧面,若用成形磨削或用摆动磨削,都将是困难的图2所示的方法,是将杯形砂轮倾钭a角,则在磨削面上的投影是一椭圆。用这一椭圆曲线替代半径为R的圆弧,若圆弧对应弦长不大,磨削用的杯形砂轮半径r又足够大时,并保证圆弧的中点和二端点与替代它的椭圆曲线上的点(即MPN)重合。则这种替代的误差一般都在允许公差之内。
As shown in Figure 1 concave arc surface, arc radius R is 2 meters, the corresponding chord 34mm. Such a large concave arc surface, if the use of forming grinding or grinding with a swing, it will be difficult to Figure 2 shows the method is to tilt the cup-shaped wheel a corner, the projection on the grinding surface is An oval. Use this elliptic curve instead of the arc of radius R, if the arc corresponds to the chord length is not large, the cup grinding wheel radius r large enough, and to ensure that the arc midpoint and two ends and replace it The points on the elliptic curve (ie MPN) coincide. This alternative error is generally within tolerances.