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Abstract: To machining of aspheric part of high precision and high
quality, interpolation algorithm of ultra-precision aspheric numerical
control system is very important. According to the aspheric part, the
biarc step length flex numerical control interpolation algorithm, a new
aspheric curve numerical control interpolation algorithm is adopted.
This algorithm adopts bi-arc segment approximating mode, it's bi-arc
segment is tangent each other, first derivative continuous, step length
transformable, numerical control interpolation error controllable.
Therefore the machining workpiece surface is smoother, the quality of
interpolation curve is higher. Moreover, applicability of this algorithm
is very extensive. In the last, a great number of grinding experiments
prove that high quality aspheric surface can be machined using this
numerical control interpolation algorithm, machined profiles accuracy is
0.30 mm, the surface roughness Rrms is 11.555 nm, Ra is 8.938 nm.
Key words: Ultra-precision grinding Bi-arc step length flex
Aspheric part Conversion of coor-dinates
CLC No: TG711
国家自然科学基金资助项目(50175022).
Received 20011216, received in revised form 20020720
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