Stochastic simplified modelling of abrasive waterjet footprints

Torrubia, P. Lozano, Billingham, John and Axinte, Dragos A. (2016) Stochastic simplified modelling of abrasive waterjet footprints. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 472 (2186). pp. 1-22. ISSN 1471-2946

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Abrasive micro-waterjet processing is a non-conventional machining method that can be used to manufacture complex shapes in difficult-to-cut materials. Predicting the effect of the jet on the surface for a given set of machine parameters is a key element of controlling the process. However, the noise of the process is significant, making it difficult to design reliable jet-path strategies that produce good quality parts via controlled-depth milling. The process is highly unstable and has a strong random component that can affect the quality of the workpiece, especially in the case of controlled-depth milling. This study describes a method to predict the variability of the jet footprint for different jet feed speeds. A stochastic partial differential equation is used to describe the etched surface as the jet is moved over it, assuming that the erosion process can be divided into two main components: a deterministic part that corresponds to the average erosion of the jet, and a stochastic part that accounts for the noise generated at different stages of the process. The model predicts the variability of the trench profiles to within<8%. These advances could enable abrasive micro-waterjet technology as a suitable technology for controlled-depth milling.

Item Type: Article
Additional Information: Lozano Torrubia P, Billingham J, Axinte DA. 2016 Stochastic simplified modelling of abrasive waterjet footprints. Proc. R. Soc. A 472: 20150836.
Keywords: abrasive waterjet, stochastic modelling, machining, erosion
Schools/Departments: University of Nottingham, UK > Faculty of Engineering > Department of Mechanical, Materials and Manufacturing Engineering
University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number:
Depositing User: Billingham, John
Date Deposited: 06 Jul 2016 12:37
Last Modified: 08 May 2020 12:30

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