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Spectral element method for stability analysis of milling processes with discontinuous time-periodicity

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Abstract

This paper presents an application of the spectral element method for the stability analysis of regenerative machine tool chatter models in milling operations. An extension of the spectral element method is introduced in order to handle the discontinuities in the cutting force in an efficient way. The efficiency of the method is demonstrated on some well-known machine tool chatter models taken from the literature. Efficiency is characterized by the computational time, the convergence of the stability boundaries, and the convergence of critical characteristic multipliers. Results show that compared to the most widespread methods in machining literature, the spectral element method provides significant improvements in computational time while maintaining high accuracy levels.

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Authors and Affiliations

  1. Department of Applied Mechanics, Budapest University of Technology and Economics, Műegyetem rkp. 3, Budapest, 1111, Hungary

    David Lehotzky, Tamas Insperger & Gabor Stepan

  2. Department of Engineering, Science and Mathematics, SUNY Polytechnic Institute, 100 Seymour Rd, Utica, NY, 13502, USA

    Firas Khasawneh

Authors
  1. David Lehotzky
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  2. Tamas Insperger
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  3. Firas Khasawneh
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  4. Gabor Stepan
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Correspondence to David Lehotzky.

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Lehotzky, D., Insperger, T., Khasawneh, F. et al. Spectral element method for stability analysis of milling processes with discontinuous time-periodicity. Int J Adv Manuf Technol 89, 2503–2514 (2017). https://doi.org/10.1007/s00170-016-9044-z

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  • DOI: https://doi.org/10.1007/s00170-016-9044-z

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