Chaotic and stochastic dynamics of orthogonal metal cutting

M. Wiercigroch*, A. H.D. Cheng

*Corresponding author for this work

Research output: Contribution to journalArticle

50 Citations (Scopus)

Abstract

A model of the cutting process is formulated based on a random variation of the specific cutting resistance. The cutting resistance is generated as a one-dimensional univariate Gaussian process using the spectral representation method. The random responses are discussed and compared with the deterministic ones within the ranges of parameters where chaotic motion occurs. Contrary to a claim for continuous systems, in which the variance of the noise dampens the chaotic vibration, such a behavior is not observed in the discontinuous system. The chaotic response is still present and the stochasticity induces immense impact forces during the transient period.

Original languageEnglish
Pages (from-to)715-726
Number of pages12
JournalChaos, Solitons and Fractals
Volume8
Issue number4
DOIs
Publication statusPublished - 1 Jan 1997

Fingerprint

Stochastic Dynamics
Chaotic Dynamics
Metals
Discontinuous Systems
Spectral Representation
Stochasticity
Chaotic Motion
Continuous System
Gaussian Process
Univariate
Vibration
Range of data
Resistance
Model

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Chaotic and stochastic dynamics of orthogonal metal cutting. / Wiercigroch, M.; Cheng, A. H.D.

In: Chaos, Solitons and Fractals, Vol. 8, No. 4 , 01.01.1997, p. 715-726.

Research output: Contribution to journalArticle

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