Abstract
Machining with anthropomorphic robotic manipulators is used to increase the flexibility and reduce the costs of production. Productivity in robotic machining processes is limited by low rigidity of robot structure and vibration instability in machining (chatter). Vibration instability analysis in robotic machining process is a challenging issue due to the variability of the dynamic behavior of the robot within its workspace. Hence, a dynamic model which correctly takes these variations into account is important to define the cutting parameters and the robot configurations to be adapted along a machining trajectory. In this paper, a multi-body dynamic model of a serial robot is elaborated using beam elements which can easily be integrated into the machining trajectory planning. The beam element geometry, elasticity, and damping parameters are adjusted on the basis of experimental identifications. A stability diagram based on regenerative chatter in milling operations as a function of the kinematic redundancy variable is established. It is shown that stability in robotic machining can be ensured through the optimization of the robot configurations, without changing the cutting parameters, in order to maintain productivity performance. The predicted stability diagram is validated by experimental robotic machining results.
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References
Tobias SA, Fishwick W (1958) The chatter of lath tools under orthogonal cutting conditions. ASME 1079–1088.
Altintas Y (2000) Manufacturing automation. Metal cutting mechanics, machine tool vibrations and CNC design, Cambridge University Press
Mousavi S, Gagnol V, Ray P (2013) Machining prediction of spindle–self-vibratory drilling head. J Mater Process Technol 213(12):2119–2125
Mousavi S, Gagnol V, Bouzgarrou BC, Ray P (2013) Dynamic behavior model of a machining robot and stability prediction, ECCOMAS, Zagreb
Mejri S, Gagnol V, Phu Le T, Ray P, Paultre P (2015) Dynamic characterization of machining robot and stability analysis. Int J Adv Manuf Technol
Gagnol V, Bouzgarrou BC, Ray P, Barra C (2007) Model-based chatter stability prediction for high-speed spindles. Int J Mach Tools Manuf 47(7):1176–1186
Pan Z, Zhang H, Zhu Z, Wang J (2006) Chatter analysis of robot machining process. J Mater Process Technol 173:301–309
Rafieian F, Hazel B, Liu Z (2014) Regenerative instability of impact-cutting material removal in the grinding process performed by a flexible robot arm, 6th CIRP International Conference on High Performance Cutting, HPC2014, Procedia CIRP 14:406–411
Maglie P (2012) Parallelization of design and simulation. Virtual machine tools in real product development. VDI Verlag GmbH (2012), theses, Department of Mechanical and Process Engineering, Düsseldorf
Bouzgarrou BC, Fauroux JC, Gogu G, Heerah Y. Rigidity analysis of T3R1 parallel robot with uncoupled Kinematics
Ruggiu M (2012) Cartesian stiffness matrix mapping of a translational parallel mechanism with elastic joints. Int J Adv Robot Syst 9
Kessentini A, Chevalier G, Louati J, Rivière A, Haddar M (2007) F.E.M. of the drilling machine-tool including the gyroscopic effect. Adv Prod Eng Manag 2:63–78
Olabi A, Bearee R, Thomas O, Gibaru O, Gonzalez J (2014) Analyse expérimentale des phénomènes vibratoires d’un robot usineur. MUGV
Oueslati M, Gibaru O, Bearee R, Moraru G (2013) Contribution à la modélisation dynamique, l’identification et la synthèse de lois de commande adaptées aux axes flexibles d’un robot industriel. Theses, Paris Tech
Bearee R (2014) New Damped-Jerk trajectory for vibration reduction. Control Eng Pract 28:112–120
Gogu G, Coiffet P, Barraco A (1997) Representation of robots displacements, Paris :Hermes
Subrin K, Sabourin L, Cousturier R, Gogu G, Mezouar Y (2012) Performance criteria to evaluate a kinematically redundant robotic cell for machining tasks. Appl Mech Mater 162:413–422
Paul RP (1981) Robot manipulators: mathematics, programming, and control: the computer control of robot manipulators, Richard Paul
Olabi A, Bearee R, Damak M, Gibaru O (2010) Mouvement à rigidité maximale pour un robot 6 axes destiné à des opérations d’usinage. MUGV
Swiatek G, Liu Z, Hazel B (2010) Dynamic simulation and configuration dependant model identification of a portable flexible-link and flexible-joint robot, 28th seminar on machinery vibration. 189–206
Adhikari S (2006) Damping modelling using generalized proportional damping. J Sound Vib 293(1):156–170
Chowdhury I, Dasgupta SP (2003) Computation of Rayleigh damping coefficients for large systems. Electron J Geotech Eng 8.0
Altintas E (1995) Budak, analytical prediction of stability lobes in milling. CIRP Ann Manuf Technol 44(1):357–362
Özsahin O, Budak E, Özguven HN (2014) In-process tool point FRF identification under operational conditions using inverse stability solution. Int J Mach Tools Manuf
Gogu G (2008) Structural synthesis of parallel robots: part1—methodology, ISBN 978-1-4020-5102-9, Springer
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Mousavi, S., Gagnol, V., Bouzgarrou, B.C. et al. Dynamic modeling and stability prediction in robotic machining. Int J Adv Manuf Technol 88, 3053–3065 (2017). https://doi.org/10.1007/s00170-016-8938-0
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DOI: https://doi.org/10.1007/s00170-016-8938-0