Delay Equations with Fluctuating Delay: Application to Variable Speed Machining

  • N. Sri Namachchivaya
  • R. Beddini
  • H. J. Van Roessel
  • Sarah Wustrack
Conference paper
Part of the Solid Mechanics and its Applications book series (SMIA, volume 122)


The suppression of regenerative chatter by spindle speed variation is attracting increasing attention. In this paper, we study nonlinear delay differential equations with periodic delays which model the machine tool chatter with continuously modulated spindle speed. We make use of the center manifold reduction and the method of normal forms to determine the periodic solutions and analyze the tool motion. Analytical results are very close to those obtained experimentally.

Key words

Delay equations machine tool chatter center manifold normal forms 


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Copyright information

© Springer 2005

Authors and Affiliations

  • N. Sri Namachchivaya
    • 1
  • R. Beddini
    • 1
  • H. J. Van Roessel
    • 2
  • Sarah Wustrack
    • 1
  1. 1.Department of Aerospace EngineeringUniversity of Illinois at Urbana-ChampaignUrbanaUSA
  2. 2.Department of Mathematical and Statistical SciencesUniversity of AlbertaEdmontonCanada

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