@article{MTMT:3393017,
	title = {Ultimate capability of variable pitch milling cutters},
	url = {https://m2.mtmt.hu/api/publication/3393017},
	author = {Stépán, Gábor and Hajdu, Dávid and Alex, Iglesias and Takács, Dénes and Dombóvári, Zoltán},
	doi = {10.1016/j.cirp.2018.03.005},
	journal-iso = {CIRP ANN-MANUF TECHN},
	journal = {CIRP ANNALS-MANUFACTURING TECHNOLOGY},
	volume = {67},
	unique-id = {3393017},
	issn = {0007-8506},
	abstract = {Variable pitch milling cutters intend to increase 
		performance, but off-the-shelf cutters do not ensure this
		generally. Depending on the milling process they are selected 
		for, they can perform better or even worse
		than uniform pitch cutters do. Improved performance can be 
		guaranteed by considering the reflected
		dynamic behaviour of the machine/tool/workpiece system. This 
		work presents the achievable upper and
		lower capability bounds by introducing so-called 
		stabilizability diagrams of a hypothetical variable pitch
		milling cutter that is tuned continuously along the stability 
		boundaries. Robustly tuned milling cutters are
		designed for selected spindle speed ranges, which are 
		experimentally tested both under laboratory and
		industrial conditions.},
	year = {2018},
	eissn = {1726-0604},
	pages = {373-376},
	orcid-numbers = {Stépán, Gábor/0000-0003-0309-2409; Hajdu, Dávid/0000-0003-0692-2906; Takács, Dénes/0000-0003-1226-8613; Dombóvári, Zoltán/0000-0003-2591-3220}
}

@article{MTMT:3219989,
	title = {Chatter mitigation using the nonlinear tuned vibration absorber},
	url = {https://m2.mtmt.hu/api/publication/3219989},
	author = {Habib, Giuseppe and Kerschen, G and Stépán, Gábor},
	doi = {10.1016/j.ijnonlinmec.2017.02.014},
	journal-iso = {INT J NONLINEAR MECH},
	journal = {INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS},
	volume = {91},
	unique-id = {3219989},
	issn = {0020-7462},
	abstract = {A passive vibration absorber, termed the nonlinear tuned vibration absorber (NLTVA), is designed for the suppression of chatter vibrations. Unlike most passive vibration absorbers proposed in the literature for suppressing machine tool vibrations, the NLTVA comprises both a linear and a nonlinear restoring force. Its linear characteristics are tuned in order to optimize the stability properties of the machining operation, while its nonlinear properties are chosen in order to control the bifurcation behavior of the system and guarantee robustness of stable operation. In this study, the NLTVA is applied to turning machining. © 2017 Elsevier Ltd},
	year = {2017},
	eissn = {1878-5638},
	pages = {103-112},
	orcid-numbers = {Habib, Giuseppe/0000-0003-3323-6901; Stépán, Gábor/0000-0003-0309-2409}
}

@article{MTMT:3119851,
	title = {Analytical estimations of limit cycle amplitude for delay-differential equations},
	url = {https://m2.mtmt.hu/api/publication/3119851},
	author = {Molnár, Tamás Gábor and Insperger, Tamás and Stépán, Gábor},
	doi = {10.14232/ejqtde.2016.1.77},
	journal-iso = {ELECTRON J QUAL THEOR DIFFER EQUAT},
	journal = {ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS},
	unique-id = {3119851},
	issn = {1417-3875},
	year = {2016},
	eissn = {1417-3875},
	pages = {1-10},
	orcid-numbers = {Molnár, Tamás Gábor/0000-0002-9379-7121; Insperger, Tamás/0000-0001-7518-9774; Stépán, Gábor/0000-0003-0309-2409}
}

@article{MTMT:2946918,
	title = {On the bistable zone of milling processes},
	url = {https://m2.mtmt.hu/api/publication/2946918},
	author = {Dombóvári, Zoltán and Stépán, Gábor},
	doi = {10.1098/rsta.2014.0409},
	journal-iso = {PHILOS TRANS - R SOC A},
	journal = {PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A - MATHEMATICAL PHYSICAL & ENGINEERING SCIENCES},
	volume = {373},
	unique-id = {2946918},
	issn = {1364-503X},
	year = {2015},
	eissn = {1471-2962},
	orcid-numbers = {Dombóvári, Zoltán/0000-0003-2591-3220; Stépán, Gábor/0000-0003-0309-2409}
}

@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}
}

@book{MTMT:1629264,
	title = {Semi-Discretization for Time-Delay Systems. Stability and Engineering Applications},
	url = {https://m2.mtmt.hu/api/publication/1629264},
	isbn = {9781461403340},
	author = {Insperger, Tamás and Stépán, Gábor},
	doi = {10.1007/978-1-4614-0335-7},
	publisher = {Springer London, Ltd},
	unique-id = {1629264},
	abstract = {The book presents the recently introduced and already widely cited semi-discretization method for the stability analysis of delayed dynamical systems with parametric excitation. Delay-differential equations often come up in different fields of engineering, such as feedback control systems, machine tool vibrations, and balancing/stabilization with reflex delay. The behavior of such systems is often counter-intuitive and closed form analytical formulas can rarely be given even for the linear stability conditions. The same holds for parametrically excited systems. If parametric excitation is coupled with the delay effect, then the governing equation is a delay-differential equation with time-periodic coefficients, and the stability properties are even more intriguing. The semi-discretization method is a simple but efficient method that is based on the discretization with respect to the delayed term and the periodic coefficients only. This discretization results in a system of ordinary differential equations that can be solved using standard techniques, which are part of basic engineering curriculums. The method can effectively be used to construct stability charts in the space of system parameters. These charts provide a useful tool for engineers, since they present an overview on the effects of system parameters on the local dynamics of the system. The book presents the application of the method to different engineering problems, such as dynamics of turning and milling processes with constant and with varying spindle speeds, stick balancing with reflex delay, force control processes in the presence of feedback delay, and stabilization using time-periodic control gains.
		
		The book is designed for graduate and PhD students as well as researchers working in the field of delayed dynamical systems with application to mechanical, electrical and chemical engineering, control theory, biomechanics, population dynamics, neuro-physiology, and climate research.},
	year = {2011},
	orcid-numbers = {Insperger, Tamás/0000-0001-7518-9774; Stépán, Gábor/0000-0003-0309-2409}
}

@article{MTMT:1702990,
	title = {Identification of cutting force characteristics based on chatter experiments},
	url = {https://m2.mtmt.hu/api/publication/1702990},
	author = {Stépán, Gábor and Dombóvári, Zoltán and Muñoa, J},
	doi = {10.1016/j.cirp.2011.03.100},
	journal-iso = {CIRP ANN-MANUF TECHN},
	journal = {CIRP ANNALS-MANUFACTURING TECHNOLOGY},
	volume = {60},
	unique-id = {1702990},
	issn = {0007-8506},
	abstract = {Cutting force coefficients exhibit strong nonlinearity as a 
		function of chip loads, cutting speeds and material 
		imperfections. This paper presents the connection between the 
		sensitivity of the dynamics of regenerative cutting and the 
		cutting force characteristic nonlinearity. The nonlinear milling 
		process is mathematically modelled. The transitions of dynamic 
		cutting process between the stable and unstable zones are 
		considered and experimentally illustrated by applying wavelet 
		transformations on the measurement data. © 2011 CIRP.},
	keywords = {Cutting; Milling (machining); force; CHATTER; Cutting speed; Cutting forces; Non-Linearity; Measurement data; Wavelet transformations; Strong nonlinearity; Milling process; Material imperfections; Dynamic cutting; Cutting force coefficients; Chip load},
	year = {2011},
	eissn = {1726-0604},
	pages = {113-116},
	orcid-numbers = {Stépán, Gábor/0000-0003-0309-2409; Dombóvári, Zoltán/0000-0003-2591-3220}
}

@article{MTMT:1139887,
	title = {Estimates of the bistable region in metal cutting},
	url = {https://m2.mtmt.hu/api/publication/1139887},
	author = {Dombóvári, Zoltán and Wilson, RE and Stépán, Gábor},
	doi = {10.1098/rspa.2008.0156},
	journal-iso = {PROC A MATH PHYS ENG SCI},
	journal = {PROCEEDINGS OF THE ROYAL SOCIETY A: MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES},
	volume = {464},
	unique-id = {1139887},
	issn = {1364-5021},
	abstract = {The classical model of regenerative vibration is investigated \nwith new kinds of nonlinear cutting force characteristics. The \nstandard nonlinear characteristics are subjected to a critical \nreview from the nonlinear dynamics viewpoint based on the \nexperimental results available in the literature. The proposed \nnonlinear model includes finite derivatives at zero chip \nthickness and has an essential inflexion point. In the case of \nthe one degree-of-freedom model of orthogonal cutting, the \nexistence of unstable self-excited vibrations is proven along \nthe stability limits, which is strongly related to the force \ncharacteristic at its inflexion point. An analytical estimate is \ngiven for a certain area below the stability limit where stable \nstationary cutting and a chaotic attractor coexist. It is shown \nhow this domain of bistability depends on the theoretical chip \nthickness. The comparison of these results with the experimental \nobservations and also with the subcritical Hopf bifurcation \nresults obtained for standard nonlinear cutting force \ncharacteristics provides relevant information on the nature of \nthe cutting force nonlinearity.},
	year = {2008},
	eissn = {1471-2946},
	pages = {3255-3271},
	orcid-numbers = {Dombóvári, Zoltán/0000-0003-2591-3220; Stépán, Gábor/0000-0003-0309-2409}
}

@article{MTMT:106039,
	title = {Global dynamics of low immersion high-speed milling},
	url = {https://m2.mtmt.hu/api/publication/106039},
	author = {Szalai, R and Stépán, Gábor and Hogan, SJ},
	doi = {10.1063/1.1807395},
	journal-iso = {CHAOS},
	journal = {CHAOS},
	volume = {14},
	unique-id = {106039},
	issn = {1054-1500},
	year = {2004},
	eissn = {1089-7682},
	pages = {1069-1077},
	orcid-numbers = {Stépán, Gábor/0000-0003-0309-2409}
}

@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}
}

@book{MTMT:1002286,
	title = {Retarded Dynamical Systems. Stability and Characteristic Functions},
	url = {https://m2.mtmt.hu/api/publication/1002286},
	isbn = {0470213353},
	author = {Stépán, Gábor},
	publisher = {Longman Scientific & Technical},
	unique-id = {1002286},
	year = {1989},
	orcid-numbers = {Stépán, Gábor/0000-0003-0309-2409}
}