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

Alexandra Rodkina, Marian Wiercigroch

Research output: Chapter in Book/Report/Conference proceedingConference 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 languageEnglish
Title of host publication17th Biennial Conference on Mechanical Vibration and Noise
PublisherAmerican Society of Mechanical Engineers(ASME)
Pages1479-1484
Number of pages6
Volume7A
ISBN (Electronic)9780791819777
DOIs
Publication statusPublished - 1999
EventASME 1999 Design Engineering Technical Conferences, DETC 1999 - Las Vegas, United States
Duration: 12 Sep 199916 Sep 1999

Publication series

NameInternational Design Engineering Technical Conferences & Computers and Information in Engineering Conference (IDETC/CIE)
Volume7A-1999

Conference

ConferenceASME 1999 Design Engineering Technical Conferences, DETC 1999
CountryUnited States
CityLas Vegas
Period12/09/9916/09/99

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