Precise algebraic-based swept volumes for arbitrary free-form shaped tools towards multi-axis CNC machining verification. (September 2017)

• Record Type: Journal Article
• Authors: Machchhar, Jinesh; Plakhotnik, Denys; Elber, Gershon
• Is Part Of: Computer aided design. Volume 90(2017)
• Page Start: 48
• Page End: 58
• Publication Date: 2017-09
• Subjects: Algebraic constraints -- Envelopes -- B-spline surfaces -- Simulation -- Dexel grids; Computer-aided design -- Periodicals; Engineering design -- Data processing -- Periodicals; Computer graphics -- Periodicals; Conception technique -- Informatique -- Périodiques; Infographie -- Périodiques; Computer graphics; Engineering design -- Data processing; Periodicals; Electronic journals; 620.00420285
• DOI: 10.1016/j.cad.2017.05.015
• Languages: English
• ISSNs: 0010-4485

Abstract

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. Highlights: A computational framework for multi-axis CNC machining simulation is proposed. Algebraic modeling of the swept volume of the cutter leads to high precision. Topological guarantees are given regarding correctness of the solution. Dexel-grid representation of the swept volume yields computational efficiency. Graphical abstract: