2015
DOI: 10.1016/j.ifacol.2015.09.398
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Regenerative delay, parametric forcing and machine tool chatter: A review

Abstract: Two intrinsic component of machine tool chatter modeling is regenerative time delay and parametric forcing. The corresponding governing equations are therefore given in the form of delay-differential equations with time-periodic coefficients. In this paper, a brief review is given on the mechanism of these two effects, and recent numerical techniques from the literature are categorized and discussed.

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Cited by 31 publications
(8 citation statements)
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“…In order to achieve high-efficiency chatter-free EUVAM, the dynamics of the vibration-assisted milling process should be modeled accurately. Although the stability of conventional milling operations has been studied extensively in the literatures [5,6], the stability of milling under ultrasonic vibrations has not been investigated sufficiently. Xiao et al [7] numerically and experimentally studied the chatter stability of a 1-DOF vibration-assisted turning process and reported achieving a larger depth of cut, but they did not predict stability lobes of the process.…”
Section: Introductionmentioning
confidence: 99%
“…In order to achieve high-efficiency chatter-free EUVAM, the dynamics of the vibration-assisted milling process should be modeled accurately. Although the stability of conventional milling operations has been studied extensively in the literatures [5,6], the stability of milling under ultrasonic vibrations has not been investigated sufficiently. Xiao et al [7] numerically and experimentally studied the chatter stability of a 1-DOF vibration-assisted turning process and reported achieving a larger depth of cut, but they did not predict stability lobes of the process.…”
Section: Introductionmentioning
confidence: 99%
“…In 1946, British scholar Arnold [22] used experiments to prove for the first time that the cutting force within a certain range of cutting speed decreases with the increase of cutting speed. Regarding regenerative chatter, in recent years, many scholars have carried out modeling, simulation, and experimental studies on various cutting chatter problems, as well as chatter monitoring and control on the basis of considering different processing types and influencing factors of chatter [23][24][25][26][27][28][29]. Zhang and Liu [30] established a multi-degree-of-freedom chatter model of the tool-workpiece system in modal coordinates to decouple the delay differential equation.…”
Section: Introductionmentioning
confidence: 99%
“…There are different methods of calculating the SLD, and they can be categorized into time domain and frequency domain methods [10]. Efficient time domain methods include the spectral element method [11] and the Chebychev collocation method [12].…”
Section: Introductionmentioning
confidence: 99%