TY  - JOUR
AU  - Dombóvári, Zoltán
AU  - Barton, David
AU  - Wilson, Eddie
AU  - Stépán, Gábor
TI  - On the Global Dynamics of Chatter in the Orthogonal Cutting Model
JF  - INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
J2  - INT J NONLINEAR MECH
VL  - 46
PY  - 2011
IS  - 1
SP  - 330
EP  - 338
PG  - 9
SN  - 0020-7462
DO  - 10.1016/j.ijnonlinmec.2010.09.016
UR  - https://m2.mtmt.hu/api/publication/1454448
ID  - 1454448
N1  - Funding Agency and Grant Number: Hungarian Scientific Research Foundation OTKAOrszagos Tudomanyos Kutatasi Alapprogramok (OTKA) [K68910]; HAS-BUTE Research Group on Dynamics of Machines and Vehicles Hungarian-Spanish Intergovernmental S&T Cooperation Programme [OMFB-01265/2007]; OPENAER project; Great Western Research fellowship; EPSRCEngineering & Physical Sciences Research Council (EPSRC) [EP/E055567/1]
            Funding text: Z D and G S were supported by the Hungarian Scientific Research Foundation OTKA Grant no K68910 HAS-BUTE Research Group on Dynamics of Machines and Vehicles Hungarian-Spanish Intergovernmental S&T Cooperation Programme Grant no OMFB-01265/2007 and the OPENAER project (CENIT program of CDTI) D A W B was supported by a Great Western Research fellowship R E W was supported by EPSRC Grant EP/E055567/1
Export Date: 28 November 2019            
            CODEN: IJNMA
Export Date: 29 November 2019            
            CODEN: IJNMA
AB  - 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.
LA  - English
DB  - MTMT
ER  - 

TY  - CHAP
AU  - Kalmár-Nagy, Tamás
TI  - Practical Stability Limits in Turning
T2  - ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
PB  - American Society of Mechanical Engineers (ASME)
CY  - New York, New York
SN  - 9780791849019
PY  - 2010
SP  - 669
EP  - 678
PG  - 10
DO  - 10.1115/DETC2009-87645
UR  - https://m2.mtmt.hu/api/publication/2836007
ID  - 2836007
N1  - WoS: a befoglaló címe: PROCEEDINGS OF ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, VOL 4, PTS A-C
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Khasawneh, FA
AU  - Mann, BP
AU  - Insperger, Tamás
AU  - Stépán, Gábor
TI  - Increased stability of low-speed turning through a distributed force and continuous delay model
JF  - JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS
J2  - J COMPUT NONLIN DYN
VL  - 4
PY  - 2009
IS  - 4
PG  - 12
SN  - 1555-1415
DO  - 10.1115/1.3187153
UR  - https://m2.mtmt.hu/api/publication/1285518
ID  - 1285518
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Kalmár-Nagy, Tamás
AU  - Stépán, Gábor
AU  - Moon, FC
TI  - Subcritical Hopf bifurcation in the delay equation model for machine tool vibrations
JF  - NONLINEAR DYNAMICS
J2  - NONLINEAR DYNAM
VL  - 26
PY  - 2001
IS  - 2
SP  - 121
EP  - 142
PG  - 22
SN  - 0924-090X
DO  - 10.1023/A:1012990608060
UR  - https://m2.mtmt.hu/api/publication/106051
ID  - 106051
N1  - Export Date: 29 November 2019            
            CODEN: NODYE
AB  - 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.
LA  - English
DB  - MTMT
ER  -