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International Journal of Engineering Mathematics
Volume 2016 (2016), Article ID 9608584, 15 pages
Research Article

Sensitivity Studies and Parameters Identification for Noisy 3D Moving AWJM Model

Laboratoire de Mathématiques J. A. Dieudonné, Université de Nice Sophia Antipolis, Nice, France

Received 10 June 2016; Accepted 3 August 2016

Academic Editor: Z. X. Guo

Copyright © 2016 Didier Auroux and Vladimir Groza. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This work focuses on the identification of optimal model parameters related to Abrasive Waterjet Milling (AWJM) process. The evenly movement as well as variations of the jet feed speed was taken into account and studied in terms of 3D time dependent AWJM model. This gives us the opportunity to predict the shape of the milled trench surfaces. The required trench profile could be obtained with high precision in lack of knowledge about the model parameters and based only on the experimental measurements. We use the adjoint approach to identify the AWJM model parameters. The complexity of inverse problem paired with significant amount of unknowns makes it reasonable to use automatic differentiation software to obtain the adjoint statement. The interest in investigating this problem is caused by needs of industrial milling applications to predict the behavior of the process. This study proposes the possibility of identifying the AWJM model parameters with sufficiently high accuracy and predicting the shapes formation relying on self-generated data or on experimental measurements for both evenly jets movement and arbitrary changes of feed speed. We provide the results acceptable in the production and estimate the suitable parameters taking into account different types of model and measurement errors.