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Prediction of Surface Quality Based on the Non-Linear Vibrations in Orthogonal Cutting Process: Time Domain Modeling

Laboratoire d’Etude des Microstructures et de Mécanique des Matériaux, Université de Lorraine, CNRS, Arts et Métiers Paris Tech, LEM3, F-57000 Metz, France
Laboratoire de Génie Informatique, de Production et de Maintenance (EA 3096), UFR MIM—Université de Lorraine, 57070 Lorraine, France
Laboratoire d'Innovation Durable et Recherche Appliquée (LIDRA), Université internationale d’Agadir Universiapolis, Bab Al Madina Quartier Tilila, Agadir 80000, Morocco
Author to whom correspondence should be addressed.
J. Manuf. Mater. Process. 2019, 3(3), 53;
Received: 2 May 2019 / Revised: 21 June 2019 / Accepted: 24 June 2019 / Published: 26 June 2019
(This article belongs to the Special Issue Surface Integrity in Machining)
PDF [1671 KB, uploaded 27 June 2019]


This work presents an analysis of relationships between the non-linear vibrations in machining and the machined surface quality from an analytical model based on a predictive machining theory. In order to examine the influences of tool oscillations, several non-linear mechanisms were considered. Additionally, to solve the non-linear problem, a new computational strategy was developed. The resolution algorithm significantly reduces the computational times and makes the iterative approach more stable. In the present approach, the coupling between the tool oscillations and (i) the regenerative effect due to the variation of the uncut chip thickness between two successive passes and/or when the tool leaves the work (i.e., the tool disengagement from the cut), (ii) the friction conditions at the tool–chip interface, and (iii) the tool rake angle was considered. A parametric study was presented. The correlation between the surface quality, the cutting speed, the tool rake angle, and the friction coefficient was analyzed. The results show that, during tool vibrations, the arithmetic mean deviation of the waviness profile is highly non-linear with respect to the cutting conditions, and the model can be useful for selecting optimal cutting conditions. View Full-Text
Keywords: surface quality; machining; non-linear vibrations; analytical modeling surface quality; machining; non-linear vibrations; analytical modeling

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Kibbou, E.M.; Dellagi, S.; Majdouline, I.; Moufki, A. Prediction of Surface Quality Based on the Non-Linear Vibrations in Orthogonal Cutting Process: Time Domain Modeling. J. Manuf. Mater. Process. 2019, 3, 53.

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