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Third-order point contact approach for five-axis sculptured surface machining using non-ball-end tools (II): Tool positioning strategy

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Abstract

Based on the mathematical model describing the third-order approximation of the cutter envelope surface according to one given cutter location (CL), a tool positioning strategy is proposed for efficiently machining free-form surfaces with non-ball-end cutters. The optimal CL is obtained by adjusting the inclination and tilt angles of the cutter until its envelope surface and the design surface have the third-order contact at the cutter contact (CC) point, which results in a wide machining strip. The strategy can handle the constraints of machine joint angle limits, global collision avoidance and tool path smoothness in a nature way, and can be applied to general rotary cutters and complex surfaces. Numerical examples demonstrate that the third-order point contact approach can improve the machining strip width greatly as compared with the recently reported second-order one.

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Correspondence to LiMin Zhu.

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Zhu, L., Ding, H. & Xiong, Y. Third-order point contact approach for five-axis sculptured surface machining using non-ball-end tools (II): Tool positioning strategy. Sci. China Technol. Sci. 53, 2190–2197 (2010). https://doi.org/10.1007/s11431-010-3184-4

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  • DOI: https://doi.org/10.1007/s11431-010-3184-4

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