Mechanical Simulation of Machining

Coffignal, G.; Beauchesne, Erwan; Dekelbab, K.; Hakem, N

doi:10.1007/978-94-011-5588-5_30

Cited by 4 publications

(3 citation statements)

References 13 publications

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“…Avec la mise enéquations que nous adoptons, les matrices M(p), C(p, ω) et K(p) sont respectivement les matrices de masse, d'amortissement (intégrantéventuellement un effet gyroscopique dépendant de la vitesse de rotation Ω de la broche) et de rigidité construites en tenant compte de la géométrie donnée par p. Malgré l'enlèvement de matière, dans de nombreux cas les matrices de masse et de rigidité peuventêtre considérées comme constantes sur un intervalle de temps très largement supérieur au pas de temps retenu dans le schéma incrémental de résolution. La résolution de (1) est obtenue en utilisant un schéma (implicite) de Newmark utilisant un pas de temps constant Δt [3].…”

Section: Modèleséléments-finis Etéquation Du Mouvementunclassified

Simulation du comportement dynamique d'un système usinant : modélisation de l'interaction outil/matière en présence d'une pièce flexible

Lorong

Coffignal

Cohen-Assouline

2008

Mécanique & Industries

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-La simulation du comportement dynamique d'un système usinant conduità la résolution d'un problème non-linéaire de vibrations où la modélisation de l'interaction outil/pièce joue un rôle central. Cette interaction a pour particularité d'évoluer au cours du temps suiteà une modification régulière de la frontière du domaine pièce qui correspondà l'enlèvement progressif de matière. La flexibilité de la pièce complique très nettement sonévaluation. L'objectif principal de ce travail est de proposer une démarche permettant de faireévoluer, tout au long de l'usinage, le modèle géométrique décrivant la surface usinée dans un contexte de pièce déformable. Les différents modèles nécessairesà la simulation du comportement dynamique du système usinant sont présentés ainsi que la démarche adoptée pour modéliser l'interaction outil/pièce. Deux exemples simples montrent l'intérêt de la méthode.

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Section: Modèleséléments-finis Etéquation Du Mouvementunclassified

Simulation du comportement dynamique d'un système usinant : modélisation de l'interaction outil/matière en présence d'une pièce flexible

Lorong

Coffignal

Cohen-Assouline

2008

Mécanique & Industries

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“…In the time domain approach [19,20,21,22,23,13], the updating of the workpiece surface, which must be done at each increment, needs a very robust geometric algorithm and takes the major part of the numerical time. Different kinds of geometry models can be used for the workpiece.…”

Section: Overview Of the Current Approachesmentioning

confidence: 99%

Contribution of computational mechanics in numerical simulation of machining and blanking: State-of-the-Art

Lorong

Yvonnet

Coffignal

et al. 2006

Arch Computat Methods Eng

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HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L'archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d'enseignement et de recherche français ou étrangers, des laboratoires publics ou privés. SummaryBlanking and machining are commonly used in processes to obtain the shape of many mechanical pieces. Although considerable number of experimental results exist, certain essential aspects of cutting are still not well understood. This comes from the complexity of the thermomechanical phenomena induced by the material separation as well as from the complexity of the dynamical behaviour of the whole workpiece/tool/machine system. Numerical simulations make it possible to go further in the comprehension and the prediction of machining and cutting processes. In this work the state-of-the art is analysed and we present the most recent developments in the contribution of computational mechanics to numerical simulation of machining and blanking. This contribution is, on one hand, developed at a very global scale called macroscopic scale. At this scale a representation of the deformations of the piece is necessary, for example when thin walls are present, and when both predictions of the geometrical state of final surface and/or stability of the process are expected. On the other hand, the contribution is also located at a more local scale: the mesoscopic scale. At this scale, the aim is the determination of thermomechanical sollicitations applied to the tool, the simulation of chip formation, or the description of residual states (mechanical, chemical) inside the workpiece after machining.

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“…The simulation is based on the numerical computation of workpiece±tool machine (WTM) dynamic behaviour under cutting forces at the macroscopic level, as de®ned by Co gnal et al [18]. These forces are calculated and make it possible to deduce the workpiece and tool motions by means of Newton's equation which is solved by an implicit integration scheme.…”

Section: Mechanical Modelsmentioning

confidence: 99%

A model of milled surface generation for time domain simulation of high-speed cutting

Peigné

Paris

Brissaud

2003

Proceedings of the Institution of Mechanical Engineers, Part B:

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Modelling the machined surface during time domain simulation is a complex and time consuming problem. However, calculation time can be reduced using specific models dedicated to milling operations. This research presents 2.5-dimensional geometrical modelling of the milled surface generation used in a time domain simulation of end milling operations. It is dedicated to the study of flexible workpiece-flexible tool system and high-speed cutting conditions. This modelling provides an accurate representation of the machined surface and is independent of the time discretization imposed by the dynamic of the cutting process. The material removal process is achieved by considering the effective paths of tool teeth relative to the workpiece, including vibrating motions of both tool and workpiece. At each time step the tooth motion is interpolated with a quadratic form model allowing low interpolation error even for long incremental tooth displacements. Simulation is compared with experimental results; the surface defects due to vibrating behaviour are shown, and a good correlation is obtained.

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Mechanical Simulation of Machining

Cited by 4 publications

References 13 publications

Simulation du comportement dynamique d'un système usinant : modélisation de l'interaction outil/matière en présence d'une pièce flexible

Simulation du comportement dynamique d'un système usinant : modélisation de l'interaction outil/matière en présence d'une pièce flexible

Contribution of computational mechanics in numerical simulation of machining and blanking: State-of-the-Art

A model of milled surface generation for time domain simulation of high-speed cutting

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