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Comparison of Analytical and Numerical Simulations for Variable Spindle Speed Turning

[+] Author Affiliations
Tamás Insperger, Gábor Stépán

Budapest University of Technology and Economics, Budapest, Hungary

Tony L. Schmitz

University of Florida, Gainesville, FL

Timothy J. Burns

National Institute of Standards and Technology, Gaithersburg, MD

Paper No. IMECE2003-41809, pp. 41-47; 7 pages
  • ASME 2003 International Mechanical Engineering Congress and Exposition
  • Manufacturing
  • Washington, DC, USA, November 15–21, 2003
  • Conference Sponsors: Manufacturing Engineering Division
  • ISBN: 0-7918-3720-3 | eISBN: 0-7918-4663-6, 0-7918-4664-4, 0-7918-4665-2
  • Copyright © 2003 by ASME


The turning process with varying spindle speed is investigated. The well-known single degree of freedom turning model is presented and the governing delay-differential equation with time varying delay is analyzed. Three different numerical techniques are used to solve the governing equation: (1) direct Euler simulation with linear interpolation of the delayed term, (2) Taylor expansion of the time delay variation combined with Euler integration and (3) semi-discretization method. The results of the three method are compared. Stability charts are constructed, and some improvements in the process stability is shown, especially for low spindle speed domains.

Copyright © 2003 by ASME



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