TY - THES AU - Kalmár-Nagy, Tamás TI - Delay-differential models of cutting tool dynamics with nonlinear and mode-coupling effects PB - Budapesti Műszaki és Gazdaságtudományi Egyetem PY - 2002 SP - 224 UR - https://m2.mtmt.hu/api/publication/2996627 ID - 2996627 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 - TY - CHAP AU - Kalmár-Nagy, Tamás AU - Pratt, J R AU - Davies, M A AU - Kennedy, M D ED - Sinha, S ED - Flowers, G TI - Experimental and Analytical Investigation of the Subcritical Instability in Metal Cutting T2 - Proceedings of ASME DETC99: The 17th Biennial Conference on Mechanical Vibration and Noise PB - American Society of Mechanical Engineers (ASME) CY - New York, New York SN - 9780791880395 PY - 1999 SP - 1721 EP - 1729 PG - 9 DO - 10.1115/DETC99/VIB-8060 UR - https://m2.mtmt.hu/api/publication/2836578 ID - 2836578 LA - English DB - MTMT ER - TY - BOOK AU - Stépán, Gábor TI - Retarded Dynamical Systems. Stability and Characteristic Functions TS - Stability and Characteristic Functions T3 - Pitman Research Notes in Mathematics Series ; 210. ET - 0 PB - Longman Scientific and Technical CY - Harlow PY - 1989 SP - 151 SN - 0470213353 UR - https://m2.mtmt.hu/api/publication/1002286 ID - 1002286 N1 - co-published: Wiley, New York LA - English DB - MTMT ER -