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Explanation for low-speed stability increases in machining: Application of a continuous delay model

Publication ,  Journal Article
Khasawneh, FA; Mann, BP; Insperger, T; Stépán, G
Published in: 2008 Proceedings of the ASME Dynamic Systems and Control Conference, DSCC 2008
October 19, 2009

This paper investigates the analysis of delay integro-differential equations to explain the increased stability behavior commonly observed at low cutting speeds in machining processes. In the past, this improved stability has been attributed to the energy dissipation from the interference between the work-piece and the tool relief face. In this study, an alternative physical explanation is described. In contrast to the conventional approach, which uses a point force acting at the tool tip, the cutting forces are distributed over the tool-chip interface. This approximation results in a second order delayed integro-differential equation for the system that involves a short and a discrete delay. A method for determining the stability of the system for an exponential shape function is described, and temporal finite element analysis is used to chart the stability regions. Comparisons are then made between the stability charts that use the conventional point force and those that use the distributed force model for continuous and interrupted turning. Copyright © 2008 by ASME.

Duke Scholars

Published In

2008 Proceedings of the ASME Dynamic Systems and Control Conference, DSCC 2008

Publication Date

October 19, 2009

Issue

PART A

Start / End Page

503 / 510
 

Citation

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Khasawneh, F. A., Mann, B. P., Insperger, T., & Stépán, G. (2009). Explanation for low-speed stability increases in machining: Application of a continuous delay model. 2008 Proceedings of the ASME Dynamic Systems and Control Conference, DSCC 2008, (PART A), 503–510.
Khasawneh, F. A., B. P. Mann, T. Insperger, and G. Stépán. “Explanation for low-speed stability increases in machining: Application of a continuous delay model.” 2008 Proceedings of the ASME Dynamic Systems and Control Conference, DSCC 2008, no. PART A (October 19, 2009): 503–10.
Khasawneh FA, Mann BP, Insperger T, Stépán G. Explanation for low-speed stability increases in machining: Application of a continuous delay model. 2008 Proceedings of the ASME Dynamic Systems and Control Conference, DSCC 2008. 2009 Oct 19;(PART A):503–10.
Khasawneh, F. A., et al. “Explanation for low-speed stability increases in machining: Application of a continuous delay model.” 2008 Proceedings of the ASME Dynamic Systems and Control Conference, DSCC 2008, no. PART A, Oct. 2009, pp. 503–10.
Khasawneh FA, Mann BP, Insperger T, Stépán G. Explanation for low-speed stability increases in machining: Application of a continuous delay model. 2008 Proceedings of the ASME Dynamic Systems and Control Conference, DSCC 2008. 2009 Oct 19;(PART A):503–510.

Published In

2008 Proceedings of the ASME Dynamic Systems and Control Conference, DSCC 2008

Publication Date

October 19, 2009

Issue

PART A

Start / End Page

503 / 510