Comparison of the dynamics of low immersion milling and cutting with varying spindle speed

Tamás Insperger, Gábor Stépán, Sri N. Namachchivaya

Research output: Paper

12 Citations (Scopus)

Abstract

The stability properties of cutting processes are strongly limited by the so-called regenerative effect. This effect is originated in the presence of a time-delay in the dynamical system of the machine tool. This delay is inversely proportional to the cutting speed. Consequently, conventional cutting with a single-edge tool is modeled by an autonomous delay-differential equation (DDE). In case of milling, the varying number of cutting edges results in a kind of parametric excitation, and the corresponding mathematical model is a non-autonomous DDE. In case of low-immersion milling, this affects the stability boundaries in a substantial way. Cutting with varying spindle speed results non-autonomous DDEs where the time delay itself depends on the time periodically. A new semi-discretization method is proposed to handle the stability of these non-autonomous systems. The stability properties and corresponding bifurcations are compared in the above different cases of machining.

Original languageEnglish
Pages2691-2698
Number of pages8
Publication statusPublished - dec. 1 2001
Event18th Biennial Conference on Mechanical Vibration and Noise - Pittsburgh, PA, United States
Duration: szept. 9 2001szept. 12 2001

Other

Other18th Biennial Conference on Mechanical Vibration and Noise
CountryUnited States
CityPittsburgh, PA
Period9/9/019/12/01

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ASJC Scopus subject areas

  • Modelling and Simulation
  • Mechanical Engineering
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design

Cite this

Insperger, T., Stépán, G., & Namachchivaya, S. N. (2001). Comparison of the dynamics of low immersion milling and cutting with varying spindle speed. 2691-2698. Paper presented at 18th Biennial Conference on Mechanical Vibration and Noise, Pittsburgh, PA, United States.