Stochastic simplified modelling of abrasive waterjet footprints

Torrubia, P. Lozano; Billingham, John; Axinte, Dragos A.

Abstract

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

Citation

Torrubia, P. L., Billingham, J., & Axinte, D. A. (2016). Stochastic simplified modelling of abrasive waterjet footprints. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 472(2186), https://doi.org/10.1098/rspa.2015.0836

• Journal Article Type: Article
• Acceptance Date: Jan 14, 2016
• Online Publication Date: Feb 1, 2016
• Publication Date: Feb 17, 2016
• Deposit Date: Jul 6, 2016
• Publicly Available Date: Jul 6, 2016
• Journal: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
• Print ISSN: 1364-5021
• Electronic ISSN: 1471-2946
• Publisher: The Royal Society
• Peer Reviewed: Not Peer Reviewed
• Volume: 472
• Issue: 2186
• DOI: https://doi.org/10.1098/rspa.2015.0836
• Keywords: abrasive waterjet, stochastic modelling, machining, erosion
• Public URL: https://nottingham-repository.worktribe.com/output/776143
• Publisher URL: http://rspa.royalsocietypublishing.org/content/472/2186/20150836
• Additional Information: Lozano Torrubia P, Billingham J, Axinte DA. 2016 Stochastic; simplified modelling of abrasive waterjet footprints. Proc. R. Soc. A 472: 20150836. http://dx.doi.org/10.1098/rspa.2015.0836