Abstract

This paper presents a fast calculation algorithm for the generation of envelope surface in multi-axis NC machining. According to the cutter location file, the motion coordinate system is constructed. Then the typical ball-end mill is analysised and the calculation formulas are obtained. The proposed formulas are independent of the types of the NC machines. This algorithm has been applied to a prototype system which was developed by ACIS 3D Modeling and Hoops toolkits. In the field of graphic NC verification and robot trajectory planning it has good application prospect.

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