Stochastic simplified modelling of abrasive waterjet footprints
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...
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| Format: | Article |
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Royal Society
2016
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| Online Access: | https://eprints.nottingham.ac.uk/34674/ |
| _version_ | 1848794908404482048 |
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| author | Torrubia, P. Lozano Billingham, John Axinte, Dragos A. |
| author_facet | Torrubia, P. Lozano Billingham, John Axinte, Dragos A. |
| author_sort | Torrubia, P. Lozano |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:23:40Z |
| format | Article |
| id | nottingham-34674 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:23:40Z |
| publishDate | 2016 |
| publisher | Royal Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-346742024-08-15T15:18:18Z https://eprints.nottingham.ac.uk/34674/ Stochastic simplified modelling of abrasive waterjet footprints Torrubia, P. Lozano Billingham, John Axinte, Dragos A. 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. Royal Society 2016-02-17 Article NonPeerReviewed 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 abrasive waterjet stochastic modelling machining erosion http://rspa.royalsocietypublishing.org/content/472/2186/20150836 doi:10.1098/rspa.2015.0836 doi:10.1098/rspa.2015.0836 |
| spellingShingle | abrasive waterjet stochastic modelling machining erosion Torrubia, P. Lozano Billingham, John Axinte, Dragos A. Stochastic simplified modelling of abrasive waterjet footprints |
| title | Stochastic simplified modelling of abrasive waterjet footprints |
| title_full | Stochastic simplified modelling of abrasive waterjet footprints |
| title_fullStr | Stochastic simplified modelling of abrasive waterjet footprints |
| title_full_unstemmed | Stochastic simplified modelling of abrasive waterjet footprints |
| title_short | Stochastic simplified modelling of abrasive waterjet footprints |
| title_sort | stochastic simplified modelling of abrasive waterjet footprints |
| topic | abrasive waterjet stochastic modelling machining erosion |
| url | https://eprints.nottingham.ac.uk/34674/ https://eprints.nottingham.ac.uk/34674/ https://eprints.nottingham.ac.uk/34674/ |