Abstract
In this paper we propose a method to compute symbolically a curve of constant scallop height on the surface swept by a ball-end cutter when it traces a free-form cutter-contact curve on a free-form surface. We give explicit formulas for power series solutions to the curve of constant scallop height and the next cutter-contact curve, when the initial cutter-contact curve is given. To make the symbolic results useful in practice, we propose a method to approximate the solutions unilaterally in the parametric plane by piecewise Chebyshev polynomials and exponential functions.
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This work was partially supported by Program 2011CB302404, NSFC 10925105, 60821002/F02.
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Li, H., Yao, S., Li, G. et al. Power Series Solution for Isoscallop Tool Path Generation on Free-form Surface with Ball-end Cutter. Math.Comput.Sci. 6, 281–296 (2012). https://doi.org/10.1007/s11786-012-0124-7
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DOI: https://doi.org/10.1007/s11786-012-0124-7
Keywords
- Tool path generation
- Constant scallop height
- Ball-endcutter
- Power series solution
- Computer-aided manufacturing