Suppression of regenerative chatter via impedance modulation

Daniel J. Segalman, Eric Butcher

Research output: Contribution to journalArticle

37 Citations (Scopus)

Abstract

A new technique for the suppression of machine tool chatter in turning based on modulation of the system impedance is analyzed. The modulation frequency is selected as half the spindle frequency. Using the method of harmonic balance and a numerical root finding scheme on the transcendental characteristic equation, stability diagrams are computed for a variety of modulation amplitudes. The stability boundaries are verified by using the Nyquist stability criterion and growth exponents computed from transient simulations of the vibratory response. It is shown in this way that the impedance modulation technique successfully scrambles the regenerative process that leads to chatter and widens the stability region (by increasing the maximum allowed cutting depth), particularly for low values of the spindle speed.

Original languageEnglish (US)
Pages (from-to)243-256
Number of pages14
JournalJVC/Journal of Vibration and Control
Volume6
Issue number2
StatePublished - 2000
Externally publishedYes

Fingerprint

Modulation
retarding
impedance
modulation
spindles
Amplitude modulation
Stability criteria
Frequency modulation
Machine tools
machine tools
characteristic equations
frequency modulation
diagrams
exponents
harmonics
simulation

Keywords

  • Chatter
  • Impedance modulation
  • Regenerative vibration
  • Time-periodic differential-difference equation

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanical Engineering
  • Mechanics of Materials
  • Acoustics and Ultrasonics

Cite this

Suppression of regenerative chatter via impedance modulation. / Segalman, Daniel J.; Butcher, Eric.

In: JVC/Journal of Vibration and Control, Vol. 6, No. 2, 2000, p. 243-256.

Research output: Contribution to journalArticle

@article{39408c6861124c399352cd005e5fa2c5,
title = "Suppression of regenerative chatter via impedance modulation",
abstract = "A new technique for the suppression of machine tool chatter in turning based on modulation of the system impedance is analyzed. The modulation frequency is selected as half the spindle frequency. Using the method of harmonic balance and a numerical root finding scheme on the transcendental characteristic equation, stability diagrams are computed for a variety of modulation amplitudes. The stability boundaries are verified by using the Nyquist stability criterion and growth exponents computed from transient simulations of the vibratory response. It is shown in this way that the impedance modulation technique successfully scrambles the regenerative process that leads to chatter and widens the stability region (by increasing the maximum allowed cutting depth), particularly for low values of the spindle speed.",
keywords = "Chatter, Impedance modulation, Regenerative vibration, Time-periodic differential-difference equation",
author = "Segalman, {Daniel J.} and Eric Butcher",
year = "2000",
language = "English (US)",
volume = "6",
pages = "243--256",
journal = "JVC/Journal of Vibration and Control",
issn = "1077-5463",
publisher = "SAGE Publications Inc.",
number = "2",

}

TY - JOUR

T1 - Suppression of regenerative chatter via impedance modulation

AU - Segalman, Daniel J.

AU - Butcher, Eric

PY - 2000

Y1 - 2000

N2 - A new technique for the suppression of machine tool chatter in turning based on modulation of the system impedance is analyzed. The modulation frequency is selected as half the spindle frequency. Using the method of harmonic balance and a numerical root finding scheme on the transcendental characteristic equation, stability diagrams are computed for a variety of modulation amplitudes. The stability boundaries are verified by using the Nyquist stability criterion and growth exponents computed from transient simulations of the vibratory response. It is shown in this way that the impedance modulation technique successfully scrambles the regenerative process that leads to chatter and widens the stability region (by increasing the maximum allowed cutting depth), particularly for low values of the spindle speed.

AB - A new technique for the suppression of machine tool chatter in turning based on modulation of the system impedance is analyzed. The modulation frequency is selected as half the spindle frequency. Using the method of harmonic balance and a numerical root finding scheme on the transcendental characteristic equation, stability diagrams are computed for a variety of modulation amplitudes. The stability boundaries are verified by using the Nyquist stability criterion and growth exponents computed from transient simulations of the vibratory response. It is shown in this way that the impedance modulation technique successfully scrambles the regenerative process that leads to chatter and widens the stability region (by increasing the maximum allowed cutting depth), particularly for low values of the spindle speed.

KW - Chatter

KW - Impedance modulation

KW - Regenerative vibration

KW - Time-periodic differential-difference equation

UR - http://www.scopus.com/inward/record.url?scp=0034420102&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034420102&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0034420102

VL - 6

SP - 243

EP - 256

JO - JVC/Journal of Vibration and Control

JF - JVC/Journal of Vibration and Control

SN - 1077-5463

IS - 2

ER -