Stability analysis of finite difference model of orthogonal metal cutting in presence of random noises

Alexandra Rodkina; Marian Wiercigroch

doi:10.1115/DETC99/VIB-8040

Stability analysis of finite difference model of orthogonal metal cutting in presence of random noises

Alexandra Rodkina, Marian Wiercigroch

Engineering

The University of the West Indies

Research output: Chapter in Book/Report/Conference proceeding › Published conference contribution

1 Citation (Scopus)

Abstract

The dynamics of a nonlinear cutting process in the presence of random noise is defined and investigated. This approach is adequate for a wide range of models describing the orthogonal metal cutting processes by a single-degree-of-freedom oscillator, where the nonlinearity comes from the cutting force in form of a variable resistance force. The method of Lyapunov-Krasovskii functional was adopted to analyze the necessary conditions for a stable operation. The conditions ensuring an asymptotic stability in the presence of random noises are established.

Original language	English
Title of host publication	17th Biennial Conference on Mechanical Vibration and Noise
Publisher	American Society of Mechanical Engineers(ASME)
Pages	1479-1484
Number of pages	6
Volume	7A
ISBN (Electronic)	9780791819777
DOIs	https://doi.org/10.1115/DETC99/VIB-8040
Publication status	Published - 1999
Event	ASME 1999 Design Engineering Technical Conferences, DETC 1999 - Las Vegas, United States Duration: 12 Sept 1999 → 16 Sept 1999

Publication series

Name	International Design Engineering Technical Conferences & Computers and Information in Engineering Conference (IDETC/CIE)
Volume	7A-1999

Conference

Conference	ASME 1999 Design Engineering Technical Conferences, DETC 1999
Country/Territory	United States
City	Las Vegas
Period	12/09/99 → 16/09/99

Bibliographical note

Publisher Copyright:
Copyright © 1999 by ASME

Access to Document

10.1115/DETC99/VIB-8040

Cite this

Rodkina, A., & Wiercigroch, M. (1999). Stability analysis of finite difference model of orthogonal metal cutting in presence of random noises. In 17th Biennial Conference on Mechanical Vibration and Noise (Vol. 7A, pp. 1479-1484). (International Design Engineering Technical Conferences & Computers and Information in Engineering Conference (IDETC/CIE); Vol. 7A-1999). American Society of Mechanical Engineers(ASME). https://doi.org/10.1115/DETC99/VIB-8040

Stability analysis of finite difference model of orthogonal metal cutting in presence of random noises. / Rodkina, Alexandra; Wiercigroch, Marian.
17th Biennial Conference on Mechanical Vibration and Noise. Vol. 7A American Society of Mechanical Engineers(ASME), 1999. p. 1479-1484 (International Design Engineering Technical Conferences & Computers and Information in Engineering Conference (IDETC/CIE); Vol. 7A-1999).

Research output: Chapter in Book/Report/Conference proceeding › Published conference contribution

Rodkina, A & Wiercigroch, M 1999, Stability analysis of finite difference model of orthogonal metal cutting in presence of random noises. in 17th Biennial Conference on Mechanical Vibration and Noise. vol. 7A, International Design Engineering Technical Conferences & Computers and Information in Engineering Conference (IDETC/CIE), vol. 7A-1999, American Society of Mechanical Engineers(ASME), pp. 1479-1484, ASME 1999 Design Engineering Technical Conferences, DETC 1999, Las Vegas, United States, 12/09/99. https://doi.org/10.1115/DETC99/VIB-8040

Rodkina A, Wiercigroch M. Stability analysis of finite difference model of orthogonal metal cutting in presence of random noises. In 17th Biennial Conference on Mechanical Vibration and Noise. Vol. 7A. American Society of Mechanical Engineers(ASME). 1999. p. 1479-1484. (International Design Engineering Technical Conferences & Computers and Information in Engineering Conference (IDETC/CIE)). doi: 10.1115/DETC99/VIB-8040

Rodkina, Alexandra ; Wiercigroch, Marian. / Stability analysis of finite difference model of orthogonal metal cutting in presence of random noises. 17th Biennial Conference on Mechanical Vibration and Noise. Vol. 7A American Society of Mechanical Engineers(ASME), 1999. pp. 1479-1484 (International Design Engineering Technical Conferences & Computers and Information in Engineering Conference (IDETC/CIE)).

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AB - The dynamics of a nonlinear cutting process in the presence of random noise is defined and investigated. This approach is adequate for a wide range of models describing the orthogonal metal cutting processes by a single-degree-of-freedom oscillator, where the nonlinearity comes from the cutting force in form of a variable resistance force. The method of Lyapunov-Krasovskii functional was adopted to analyze the necessary conditions for a stable operation. The conditions ensuring an asymptotic stability in the presence of random noises are established.

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Stability analysis of finite difference model of orthogonal metal cutting in presence of random noises

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