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Abstract: In
order to acquire a universal multi-point contact machining alogrithm and
reduce the computation cost, the prin ciple of algorithm realizing
multi-point contact between the toroidal outter and the machining
surface is analyzed. And the method positioning the toroidal cutter is
derived. A novel algorithm, for machining error controlling in
multi-point contact machining, is proposed. In the algorithm, a function
equation having the radius of the circle of the parameter difference
between two contact points as the independent variable is constructed to
control the maximal undercut error occurring within the two contact
points in multi-point contact machining. The secant algorithm is
utilized to solve the equation after iterations，and then the optimal
value of the circle radius and cutter location is derived. It is proved
by a computational example that very wide path intervals can be acquired
when secant algorithm is applied in tool position calculation with
multi-point method. The time cost of secant algorithm is much less than
that of Hermite method. And it is more effective in the application on
the sculpture surface machining.
Key words:NC
machining Multi-point contact machining Secant algorithm Tool
position calculation
CLC No: TP391
中国航空第一集团创新基金资助项目(CX03007).
Received 20050809, received in revised form 20060221
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