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Nonlinear Oscillation and Stability Analysis of the Turning Process With a Worn Tool

[+] Author Affiliations
Hamed Moradi, Firooz Bakhtiari-Nejad

Amirkabir University of Technology, Tehran, Iran

Mohammad T. Ahmadian

Sharif University of Technology, Tehran, Iran

Paper No. DETC2009-86250, pp. 927-934; 8 pages
  • ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 1: 22nd Biennial Conference on Mechanical Vibration and Noise, Parts A and B
  • San Diego, California, USA, August 30–September 2, 2009
  • Conference Sponsors: Design Engineering Division and Computers in Engineering Division
  • ISBN: 978-0-7918-4898-2 | eISBN: 978-0-7918-3856-3
  • Copyright © 2009 by ASME


Self-excited and forced vibrations are important topics in machining processes because their occurrence results in poor surface finish, increase in tool wear and hampers productivity. In this paper, turning process is modeled as a SDOF dynamic system including quadratic and cubic structural nonlinearities. The effect of tool flank wear, as a contact force between the work-piece and tool, is addressed vigorously. Multiple scale method is used to find the solution of the nonlinear dynamic equation including regenerative chatter, forced excitation and tool wear. It is shown that, width of cut can be considered as the bifurcation parameter of the system. Primary, super-harmonic and sub-harmonic resonance situations are discussed. Specifically, under super-harmonic resonance, turning process shows interesting behavior. Finally, stability of the steady state motion is investigated in terms of tool wear length, width of cut and spindle rotational speed. Results are compared for two distinct cases: system with fresh and worn tools.

Copyright © 2009 by ASME



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