caa a22 4500 445361980 CHVBK 20180317142917.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s11071-010-9935-8 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9935-8 Chaotic vibrations in high-speed milling [Elektronische Daten] [M. Banihasan, F. Bakhtiari-Nejad] A large number of literatures are devoted to the stability of the milling process and various control methods for chatter suppression. But chaotic dynamics beyond the stable region has not been considered extensively. Moreover, modeling issues for chaotic motion need more challenge for accurate prediction of its complex dynamical behavior. This paper presents a detailed two-degree-of-freedom mechanics based model for the study of chaotic vibrations in milling. Segmental multiple regenerative effect that is the principle feature of nonlinear vibrations in milling processes besides two state dependent time delays has been considered. Exact geometrical formulation of multiple regenerative effects by considering simultaneously different numbers of delayed tool positions over the cutting zone is presented for the first time. Phase portrait, bifurcation diagram, largest Lyapunov exponent, and surface profile were calculated for a given machine tool and workpiece parameters. The simulation results show positive values of the largest Lyapunov exponent corresponding to the existence of chaos in high-speed milling operations. Also, investigation of the machined surface of the workpiece formed by the helical mill demonstrates an irregular pattern on the surface. Springer Science+Business Media B.V., 2011 Helical mill nationallicence Multiple regenerative nationallicence State dependent delay nationallicence Chaotic vibrations nationallicence Surface profile nationallicence Banihasan M. Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran aut Bakhtiari-Nejad F. Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran aut Nonlinear Dynamics Springer Netherlands 66/4(2011-12-01), 557-574 0924-090X 66:4<557 2011 66 11071 https://doi.org/10.1007/s11071-010-9935-8 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9935-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Banihasan M. Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran aut NATIONALLICENCE 700 1- Bakhtiari-Nejad F. Department of Mechanical Engineering, Amirkabir University of Technology, Tehran, Iran aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 66/4(2011-12-01), 557-574 0924-090X 66:4<557 2011 66 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer