Noise-sensitivity in machine tool vibrations

Evelyn Buckwar; Rachel Kuske; Bruno L'Esperance

Noise-sensitivity in machine tool vibrations

Evelyn Buckwar, Rachel Kuske, Bruno L'Esperance

Institute of Stochastics

Research output: Contribution to journal › Article › peer-review

Abstract

We consider the effect of random variation in the material parameters in a model for machine tool vibrations, specifically regenerative chatter. We show that fluctuations in these parameters appear as both multiplicative and additive noise in the model. We focus on the effect of additive noise in amplifying small vibrations which appear in subcritical regimes. Coherence resonance is demonstrated through computations, and is proposed as a route for transitions to larger vibrations. The dynamics also exhibit scaling laws observed in the analysis of general stochastic delay differential models.

Original language	English
Pages (from-to)	2407-2416
Number of pages	10
Journal	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume	16
Issue number	8
Publication status	Published - 2006

Fields of science

101 Mathematics
101014 Numerical mathematics
101018 Statistics
101019 Stochastics
101024 Probability theory

Cite this

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title = "Noise-sensitivity in machine tool vibrations",

abstract = "We consider the effect of random variation in the material parameters in a model for machine tool vibrations, specifically regenerative chatter. We show that fluctuations in these parameters appear as both multiplicative and additive noise in the model. We focus on the effect of additive noise in amplifying small vibrations which appear in subcritical regimes. Coherence resonance is demonstrated through computations, and is proposed as a route for transitions to larger vibrations. The dynamics also exhibit scaling laws observed in the analysis of general stochastic delay differential models.",

author = "Evelyn Buckwar and Rachel Kuske and Bruno L'Esperance",

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AU - Kuske, Rachel

AU - L'Esperance, Bruno

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AB - We consider the effect of random variation in the material parameters in a model for machine tool vibrations, specifically regenerative chatter. We show that fluctuations in these parameters appear as both multiplicative and additive noise in the model. We focus on the effect of additive noise in amplifying small vibrations which appear in subcritical regimes. Coherence resonance is demonstrated through computations, and is proposed as a route for transitions to larger vibrations. The dynamics also exhibit scaling laws observed in the analysis of general stochastic delay differential models.

M3 - Article

SN - 0218-1274

VL - 16

SP - 2407

EP - 2416

JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

IS - 8

ER -