Collision-Free Trajectory Generation for Waterway Surfaces of a PDC Drill Bit

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Abstract:

After describing geometric characteristics of a PDC drill bit’s waterway surfaces, an approach for collision-free trajectory generation are proposed. The trajectory is planned by an iso-parametric method firstly, while the tool orientations are determined by visibility cones, which are the bounded regions between the opposite surfaces of neighboring blade wing pairs. Tool orientations are produced by calculations of critical points and interpolations between them. Furthermore, the criterion of whether tool orientations pass through the constraint surface and the linear interpolation formula of tool orientations are given. The research has created conditions for the success machining of PDC drill bits, and related machining enterprises of impellers and propellers will also be benefited.

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194-198

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August 2011

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© 2011 Trans Tech Publications Ltd. All Rights Reserved

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[1] Y. Zhang, Z. Zhang, et al. CAD/CAM technique in PDC drilling bits female mould processing base on Pro/E. Oil Field Equipment. Vol. 34, No. 5, p.34 (5): 23-27 (2005).

Google Scholar

[2] J. Liu, J. Xu. Computer-aided design of PDC bit placing cutting. Coal Geology & Exploration. Vol. 31, No. 3, pp.62-64 (2003).

Google Scholar

[3] A. Lasemi, D. Xue, P. Gu. Recent development in CNC machining of freeform surfaces: A state-of-the-art review. Computer-Aided Design. Vol. 42, No. 7, p.641–654 (2010).

DOI: 10.1016/j.cad.2010.04.002

Google Scholar

[4] B. Ren, Y. Tang. Geometry modeling theories and their applications in NC machining. Harbin: Harbin Institute of Technology Press. p.106–107 (2000).

Google Scholar

[5] Sun J. Computer Graphics. Version 3. Beijing: Tsinghua University Press. p.349–350 (1998).

Google Scholar

[6] C. Jun, K. Cha, Y. Lee. Optimizing tool orientations for 5-axis machining by configuration-space search method. Computer-Aided Design. Vol. 35, No. 6, pp.549-566 (2003).

DOI: 10.1016/s0010-4485(02)00077-5

Google Scholar

[7] Z. Yin, H. Ding, Y. Xiong. Accessibility analysis algorithm and application based on visibility cone. Science in China Series E. Vol. 33, No. 11, pp.979-988 (2003).

Google Scholar

[8] M. Luo, B. Wu, et al. Five-axis tool orientation optimization based on kinematical method. Journal of Mechanical Engineering. Vol. 45, No. 9, pp.158-163 (2009).

DOI: 10.3901/jme.2009.09.158

Google Scholar