Mathematical methods for optimising high precision cutting operations
by Christina Brandt; Peter Maaß; Iwona Piotrowska-Kurczewski; Stefan Schiffler; Oltmann Riemer; Ekkard Brinksmeier
International Journal of Nanomanufacturing (IJNM), Vol. 8, No. 4, 2012

Abstract: The endeavour for establishing high precision cutting processes with nm-precision requires advancements in terms of manufacturing machinery, material selection and optimising the cutting process itself. This paper presents a mathematically founded approach for determining optimised process parameters using regularisation methods for inverse problems. The optimisation is based on an idealised simulation which relates process parameters like depth of cut and feed velocity to the resulting tool path incorporating elastic deformations. The optimised parameters are then obtained by inverting the simulation model, i.e., a prescribed tool path is given and a suitable control, which yields an approximation within the desired range of precision, is computed. In order to incorporate processing limitations a sparsity technique is included. The approach is successfully tested for two different applications, the design of optimal process parameters and the sparse correction of predefined parameters. The simulation results highlight the potential improvements obtained by this approach.

Online publication date: Thu, 21-Aug-2014

The full text of this article is only available to individual subscribers or to users at subscribing institutions.

 
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.

Pay per view:
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.

Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Nanomanufacturing (IJNM):
Login with your Inderscience username and password:

Username:        Password:          Forgotten your password?

Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.

If you still need assistance, please email subs@inderscience.com