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

T. Insperger, G. Stépán, Sri N. Namachchivaya

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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
Title of host publicationProceedings of the ASME Design Engineering Technical Conference
Pages2691-2698
Number of pages8
Volume6 C
Publication statusPublished - 2001
Event18th Biennial Conference on Mechanical Vibration and Noise - Pittsburgh, PA, United States
Duration: Sep 9 2001Sep 12 2001

Other

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

Fingerprint

Milling (machining)
Time delay
Differential equations
Machine tools
Machining
Dynamical systems
Mathematical models

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Insperger, T., Stépán, G., & Namachchivaya, S. N. (2001). Comparison of the dynamics of low immersion milling and cutting with varying spindle speed. In Proceedings of the ASME Design Engineering Technical Conference (Vol. 6 C, pp. 2691-2698)

Comparison of the dynamics of low immersion milling and cutting with varying spindle speed. / Insperger, T.; Stépán, G.; Namachchivaya, Sri N.

Proceedings of the ASME Design Engineering Technical Conference. Vol. 6 C 2001. p. 2691-2698.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Insperger, T, Stépán, G & Namachchivaya, SN 2001, Comparison of the dynamics of low immersion milling and cutting with varying spindle speed. in Proceedings of the ASME Design Engineering Technical Conference. vol. 6 C, pp. 2691-2698, 18th Biennial Conference on Mechanical Vibration and Noise, Pittsburgh, PA, United States, 9/9/01.
Insperger T, Stépán G, Namachchivaya SN. Comparison of the dynamics of low immersion milling and cutting with varying spindle speed. In Proceedings of the ASME Design Engineering Technical Conference. Vol. 6 C. 2001. p. 2691-2698
Insperger, T. ; Stépán, G. ; Namachchivaya, Sri N. / Comparison of the dynamics of low immersion milling and cutting with varying spindle speed. Proceedings of the ASME Design Engineering Technical Conference. Vol. 6 C 2001. pp. 2691-2698
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