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Chatter Stability Mapping for Simultaneous Machining

[+] Author Affiliations
Nejat Olgac, Rifat Sipahi

University of Connecticut

Paper No. IMECE2005-79116, pp. 743-750; 8 pages
doi:10.1115/IMECE2005-79116
From:
  • ASME 2005 International Mechanical Engineering Congress and Exposition
  • Manufacturing Engineering and Materials Handling, Parts A and B
  • Orlando, Florida, USA, November 5 – 11, 2005
  • Conference Sponsors: Manufacturing Engineering Division and Materials Handling Division
  • ISBN: 0-7918-4223-1 | eISBN: 0-7918-3769-6
  • Copyright © 2005 by ASME

abstract

A novel analytical tool is presented to assess the stability of simultaneous machining (SM) dynamics, also known as parallel machining (PM). In SM, multiple cutting tools, which are driven by multiple spindles at different speeds, operate on the same work-piece. Its superior machining efficiency is the main reason for using SM compared with the traditional single tool machining (STM). When SM is optimized in the sense of maximizing the rate of metal removal constrained with the machined surface quality, typical “chatter instability” phenomenon appears. Chatter instability for single tool machining (STM) is broadly studied in the literature. When formulated for SM, however, the problem becomes notoriously more complex. There is practically no literature on the SM chatter, except a few ad-hoc and inconclusive reports. This study presents a unique treatment, which declares the complete stability picture of SM chatter within the mathematical framework of multiple time-delay systems (MTDS). We utilize our recent methodology, called the Cluster Treatment of Characteristic Roots (CTCR), which is developed for this general class of dynamics. As an end result CTCR offers the regions of stability completely in the domain of the spindle speeds. This new methodology opens the research to some interesting directions. They, in essence, aim towards duplicating the “stability lobes” concept of STM for SM, which is clearly a nontrivial task.

Copyright © 2005 by ASME

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