The linear inverse problem in energy beam processing with an application to abrasive waterjet machining

Guillerna, A. Bilbao, Axinte, Dragos A. and Billingham, John (2015) The linear inverse problem in energy beam processing with an application to abrasive waterjet machining. International Journal of Machine Tools & Manufacture, 99 . pp. 34-42. ISSN 0890-6955

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The linear inverse problem for energy beam processing, in which a desired etched profile is known and a trajectory of the beam that will create it must be found, is studied in this paper. As an example, abrasive waterjet machining (AWJM) is considered here supported by extensive experimental investigations. The behaviour of this process can be described using a linear model when the angle between the jet and the surface is approximately constant during the process, as occurs for shallow etched profiles. The inverse problem is usually solved by simply controlling dwell time in proportion to the required depth of milling, without considering whether the target surface can actually be etched. To address this, a Fourier analysis Is used to show that high frequency components in the target surface cannot be etched due to the geometry of the jet and the dynamics of the machine. In this paper, this frequency domain analysis is used to improve the choice of the target profile in such a way that it can be etched. The dynamics of the machine also have a large influence on the actual movement of the jet. It is very difficult to describe this effect because the controller of the machine is usually unknown. A simple approximation is used for the choice of the slope of a step profile. The tracking error between the desired trajectory and the real one is reduced and the etched profile is improved. Several experimental tests are presented to show the usefulness of this approach. Finally, the limitations of the linear model are studied.

Item Type: Article
Keywords: Inverse problem, Controlled depth etching, Energy beam, Abrasive waterjet machining
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 12:53
Last Modified: 04 May 2020 17:17

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