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Tool orientation optimization based on spatial tractrix method for five-axis CNC machining with ball end cutters

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Publication:2100136
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DOI10.1007/s40304-021-00255-6OpenAlexW4297051616WikidataQ114219393 ScholiaQ114219393MaRDI QIDQ2100136

Ke Shi, Hon-yuen Tam, Hai-Yin Xu, Xiang Zou

Publication date: 21 November 2022

Published in: Communications in Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40304-021-00255-6


zbMATH Keywords

five-axis machiningball-end tool orientationspatial tractrixtool orientation optimization


Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Applications of differential geometry to engineering (53Z30)



Uses Software

  • fminsearch


Cites Work

  • Tractrix-based tool orientation control for 5-axis CNC machining
  • Optimal tool orientation control for 5-axis CNC milling with ball-end cutters
  • Nonlinear weighted average and blossoming
  • A new method to design cubic Pythagorean-hodograph spline curves with control polygon
  • Inverse kinematics for optimal tool orientation control in 5-axis CNC machining
  • Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions


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