@inproceedings{MTMT:2902448, title = {Targeted Energy Transfer for Suppressing Regenerative Instabilities in a 2-DOF Machine Tool Model}, url = {https://m2.mtmt.hu/api/publication/2902448}, author = {Nankali, A and Lee, Y S and Kalmár-Nagy, Tamás}, booktitle = {25th International Conference on Design Theory and Methodology; ASME 2013 Power Transmission and Gearing Conference : Volume 5}, doi = {10.1115/DETC2013-13510}, unique-id = {2902448}, year = {2014}, orcid-numbers = {Kalmár-Nagy, Tamás/0000-0003-1374-2620} } @article{MTMT:1454448, title = {On the Global Dynamics of Chatter in the Orthogonal Cutting Model}, url = {https://m2.mtmt.hu/api/publication/1454448}, author = {Dombóvári, Zoltán and Barton, David and Wilson, Eddie and Stépán, Gábor}, doi = {10.1016/j.ijnonlinmec.2010.09.016}, journal-iso = {INT J NONLINEAR MECH}, journal = {INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS}, volume = {46}, unique-id = {1454448}, issn = {0020-7462}, abstract = {The large-amplitude motions of a one degree-of-freedom model of orthogonal cutting are analysed. The model takes the form of a delay differential equation which is non-smooth at the instant at which the tool loses contact with the workpiece, and which is coupled to an algebraic equation that stores the profile of the cut surface whilst the tool is not in contact. This system is approximated by a smooth delay differential equation without algebraic effects which is analysed with numerical continuation software. The grazing bifurcation that defines the onset of chattering motion is thus analysed as are secondary (period-doubling, etc.) bifurcations of chattering orbits, and convergence of the bifurcation diagrams is established in the vanishing limit of the smoothing parameters. The bifurcation diagrams of the smoothed system are then compared with initial value simulations of the full non-smooth delay differential algebraic equation. These simulations mostly validate the smoothing technique and show in detail how chaotic chattering dynamics emerge from the non-smooth bifurcations of periodic orbits. © 2010 Elsevier Ltd. All rights reserved.}, year = {2011}, eissn = {1878-5638}, pages = {330-338}, orcid-numbers = {Dombóvári, Zoltán/0000-0003-2591-3220; Stépán, Gábor/0000-0003-0309-2409} } @inproceedings{MTMT:2836007, title = {Practical Stability Limits in Turning}, url = {https://m2.mtmt.hu/api/publication/2836007}, author = {Kalmár-Nagy, Tamás}, booktitle = {ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference}, doi = {10.1115/DETC2009-87645}, unique-id = {2836007}, year = {2010}, pages = {669-678}, orcid-numbers = {Kalmár-Nagy, Tamás/0000-0003-1374-2620} } @article{MTMT:106051, title = {Subcritical Hopf bifurcation in the delay equation model for machine tool vibrations}, url = {https://m2.mtmt.hu/api/publication/106051}, author = {Kalmár-Nagy, Tamás and Stépán, Gábor and Moon, FC}, doi = {10.1023/A:1012990608060}, journal-iso = {NONLINEAR DYNAM}, journal = {NONLINEAR DYNAMICS}, volume = {26}, unique-id = {106051}, issn = {0924-090X}, abstract = {We show the existence of a subcritical Hopf bifurcation in the delay-differential equation model of the so-called regenerative machine tool vibration. The calculation is based on the reduction of the infinite-dimensional problem to a two-dimensional center manifold. Due to the special algebraic structure of the delayed terms in the nonlinear part of the equation, the computation results in simple analytical formulas. Numerical simulations gave excellent agreement with the results.}, year = {2001}, eissn = {1573-269X}, pages = {121-142}, orcid-numbers = {Kalmár-Nagy, Tamás/0000-0003-1374-2620; Stépán, Gábor/0000-0003-0309-2409} }