Estimation and improvement of cutting safety

Yao Yan, Jian Xu (Corresponding Author), Marian Wiercigroch

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

This paper estimates cutting safety by using basin stability and introduces state-dependent intermittent controls to improve it. Due to inherent nonlinearity and non-smoothness in tool–workpiece interactive forces, metal cutting processes often exhibit subcritical instability when they lose linear stability, inducing coexistence of large-amplitude vibration, also called regenerative chatter, with stable stationary cutting. This phenomenon makes a considerable part of linearly stable region unsafe, where pure parameter selection is insufficient to maintain the cutting stability. To use the unsafe zones for higher material removal rate without incurring chatter, the possibility of chatter occurrence should be estimated as an index of cutting safety. This is achieved by basin stability estimation with delayed initial cutting states approximated by Fourier series and the coefficients generated based on Monte Carlo principle. It is found that the cutting safety in the “boundary layer” adjacent to linear stability boundaries is very severe, and a larger waviness height in workpiece surface can make the situation even severer. To improve the safety by decreasing the possibility of chatter occurrence, state-dependent intermittent control with various perturbation strategies, i.e. linear and nonlinear velocity feedbacks and spindle speed variation, is proposed. With respect to the increase in control threshold or perturbation strength, the chatter orbits are gradually destroyed so that the majority of the UZs becomes globally stabilized.
Original languageEnglish
Pages (from-to)2975-2988
Number of pages14
JournalNonlinear Dynamics
Volume98
Issue number4
Early online date29 Apr 2019
DOIs
Publication statusPublished - 1 Dec 2019

Fingerprint

Chatter
Safety
Linear Stability
Perturbation
Dependent
Parameter Selection
Metal cutting
Coexistence
Fourier series
Boundary Layer
Adjacent
Vibration
Linearly
Metals
Orbit
Nonlinearity
Boundary layers
Orbits
Feedback
Coefficient

Keywords

  • Time-delayed cutting dynamics
  • Multiple stability
  • Basin stability
  • Unsafe cutting
  • State-dependent intermittent control

ASJC Scopus subject areas

  • Mechanical Engineering
  • Aerospace Engineering
  • Ocean Engineering
  • Applied Mathematics
  • Electrical and Electronic Engineering
  • Control and Systems Engineering

Cite this

Estimation and improvement of cutting safety. / Yan, Yao; Xu, Jian (Corresponding Author); Wiercigroch, Marian.

In: Nonlinear Dynamics, Vol. 98, No. 4, 01.12.2019, p. 2975-2988.

Research output: Contribution to journalArticle

Yan, Yao ; Xu, Jian ; Wiercigroch, Marian. / Estimation and improvement of cutting safety. In: Nonlinear Dynamics. 2019 ; Vol. 98, No. 4. pp. 2975-2988.
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