Precise algebraic-based swept volumes for arbitrary free-form shaped tools towards multi-axis CNC machining verification

Jinesh Machchhar*, Denys Plakhotnik, Gershon Elber

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

7 Citations (Scopus)

Abstract

This paper presents an algebraic based approach and a computational framework for the simulation of multi-axis CNC machining of general freeform tools. The boundary of the swept volume of the tool is precisely modeled by a system of algebraic constraints, using B-spline basis functions. Subdivision-based solvers are then employed to solve these equations, resulting in a topologically guaranteed construction of the swept volume. The presented algebraic-based method readily generalizes to accept tools of arbitrary free-form shape as input, and at the same time, delivers high degree of precision. Being a common representation in CNC simulations, the computed swept volume can be reduced to a dexels’ representation. Several multi-axis test cases are exhibited using an implementation of our algorithm, demonstrating the robustness and efficacy of our approach.

Original languageEnglish
Pages (from-to)48-58
Number of pages11
JournalComputer-Aided Design
Volume90
DOIs
Publication statusPublished - 1 Sep 2017
Externally publishedYes

Keywords

  • Algebraic constraints
  • B-spline surfaces
  • Dexel grids
  • Envelopes
  • Simulation

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