State-dependent, non-smooth model of chatter vibrations in turning

Dávid Lehotzky; Tamás Insperger; Gábor Stépán

doi:10.1115/DETC2015-46748

State-dependent, non-smooth model of chatter vibrations in turning

Dávid Lehotzky, Tamás Insperger, Gábor Stépán

Budapest University of Technology and Economics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Citation (Scopus)

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 statedependency 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).

Original language	English
Title of host publication	11th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
Publisher	American Society of Mechanical Engineers (ASME)
ISBN (Electronic)	9780791857168
DOIs	https://doi.org/10.1115/DETC2015-46748
Publication status	Published - Jan 1 2015
Event	ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2015 - Boston, United States Duration: Aug 2 2015 → Aug 5 2015

Publication series

Name	Proceedings of the ASME Design Engineering Technical Conference
Volume	6

Other

Other	ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2015
Country	United States
City	Boston
Period	8/2/15 → 8/5/15

ASJC Scopus subject areas

Mechanical Engineering
Computer Graphics and Computer-Aided Design
Computer Science Applications
Modelling and Simulation

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10.1115/DETC2015-46748

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Lehotzky, D., Insperger, T., & Stépán, G. (2015). State-dependent, non-smooth model of chatter vibrations in turning. In 11th International Conference on Multibody Systems, Nonlinear Dynamics, and Control (Proceedings of the ASME Design Engineering Technical Conference; Vol. 6). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/DETC2015-46748

State-dependent, non-smooth model of chatter vibrations in turning. / Lehotzky, Dávid; Insperger, Tamás ; Stépán, Gábor.

11th International Conference on Multibody Systems, Nonlinear Dynamics, and Control. American Society of Mechanical Engineers (ASME), 2015. (Proceedings of the ASME Design Engineering Technical Conference; Vol. 6).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Lehotzky, D, Insperger, T & Stépán, G 2015, State-dependent, non-smooth model of chatter vibrations in turning. in 11th International Conference on Multibody Systems, Nonlinear Dynamics, and Control. Proceedings of the ASME Design Engineering Technical Conference, vol. 6, American Society of Mechanical Engineers (ASME), ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2015, Boston, United States, 8/2/15. https://doi.org/10.1115/DETC2015-46748

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