NDLI: State-Dependent, Non-Smooth Model of Chatter Vibrations in Turning

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Lehotzky, Dávid Insperger, Tamás Stépán, Gábor
Copyright Year	2015
Abstract	This paper deals with the modeling and analysis of the cutting tool’s global dynamics in the orthogonal cutting process of turning operations considering the effect of state dependency and fly-over in one model. In particular, the one-degree-of-freedom non-smooth model, presented by Wahi and Chatterjee in 2008, is extended by the consideration of vibrations in the direction perpendicular to the feed velocity. This results in the state-dependency of the model and gives an additional direction in which fly-over can occur. The constructed mathematical model consists of a nonlinear PDE, which describes the evolution of the surface height of the workpiece and a two-degree-of-freedom ODE, which governs the motion of the tool. The PDE is connected to the solution of the ODE by a non-local, non-smooth boundary condition. For the case when the tool is within the cut, this model gives the conventional model of turning governed by delay-differential equations with state-dependent delays. In order to study the effect of vibrations in the tangential direction numerical simulations are carried out and their results are compared to the model presented by Wahi and Chatterjee (2008).
Sponsorship	Design Engineering Division Computers and Information in Engineering Division
File Format	PDF
ISBN	9780791857168
DOI	10.1115/DETC2015-46748
Volume Number	Volume 6: 11th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
Conference Proceedings	ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
Language	English
Publisher Date	2015-08-02
Publisher Place	Boston, Massachusetts, USA
Access Restriction	Subscribed
Subject Keyword	Cutting Vibration Computer simulation Delay differential equations Dynamics (mechanics) Turning Boundary-value problems Delays Modeling Chatter
Content Type	Text
Resource Type	Article

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