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

  • David Lehotzky
  • Tamas Insperger
  • Firas Khasawneh
  • Gabor Stepan
ORIGINAL ARTICLE

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.

Keywords

Machine tool chatter Regenerative effect Milling Stability Numerical method 

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Copyright information

© Springer-Verlag London 2016

Authors and Affiliations

  1. 1.Department of Applied MechanicsBudapest University of Technology and EconomicsBudapestHungary
  2. 2.Department of Engineering, Science and MathematicsSUNY Polytechnic InstituteUticaUSA

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