Improved model of chatter in grinding, including torsional effects

Hesterman, Dianne; Stone, Brian

doi:10.1243/14644190260070402

Cited by 5 publications

(5 citation statements)

References 5 publications

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“…Therefore, due to the tangential ploughing and frictional force, unlike that in turning or milling, it was discussed by Mannan et al [19] that torsional vibration must be considered when investigation of grinding chatter. Then, Hesterman and Stone [9] proposed an improved kinematic model for simulation of the grinding chatter, which confirmed that the torsional motion can affect the stability of plunge grinding.…”

Section: Introductionmentioning

confidence: 88%

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Regenerative and frictional chatter in plunge grinding

Yan

Wiercigroch

2016

Nonlinear Dyn

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This paper studies self-excited vibrations, regenerative and frictional chatters, in a plunge grinding process. In consideration of lateral and torsional workpiece movements, a dynamic model with four degrees of freedom is proposed, which involves statedependent time delays and Stribeck effect for regenerative and frictional effects, respectively. With this model, by linearising contact angle, regenerative grinding depth, frictional velocity and the state-dependent delays, eigenvalue analysis yields stability diagrams for the grinding, where boundaries for both regenerative and frictional instabilities are determined. Then, near the boundaries, simulations and bifurcation analyses are performed to reveal patterns of chatter onset. Bifurcation diagrams show coexistence of stable grinding and the regenerative chatter near the regenerative boundary, and a sudden switch between the stable and the frictionally unstable on the frictional boundary. Moreover, simulation results also show various dynamical properties in the grinding chatters, such as effect of losing contact and stick-slip motion.

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Section: Introductionmentioning

confidence: 88%

“…(20) is used to linearise the time delays, τ w and τ g , which are implicitly given by Eq. (9). With considering Eqs.…”

Section: Model Linearisationmentioning

confidence: 99%

Regenerative and frictional chatter in plunge grinding

Yan

Wiercigroch

2016

Nonlinear Dyn

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“…(k rc , k re ) are the cutting factors of motions in tangential and radial directions, respectively. Replacing equations (11), (12), and (15) in equation 4, differential equations of motion in y-and z-direction can be expressed as…”

Section: Virtual Work Of the Nonconservative Forcesmentioning

confidence: 99%

“…For finding out cutting forces, both regenerative terms and loss of contact influences were considered. Hesterman and Stone 12 used an improved model to study the chatter. They showed that torsional characteristics can considerably modify the system behavior and may stop the chatter.…”

Section: Introductionmentioning

confidence: 99%

Investigation of rotary inertial dynamic effects on chatter boundary in milling process using three-dimensional Timoshenko tool model

Mokhtari

Mazidi

Jalili

2018

Proceedings of the Institution of Mechanical Engineers, Part K:

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Chatter prediction is essential to conduct stable machining. Many of the previous studies made to simulate milling process have not considered gyroscopic and rotary inertial dynamics effects. The aim of this research is to investigate the effects of rotary inertial dynamics on prediction of chatter in the milling operation. For this purpose, a threedimensional rotating cantilever Timoshenko beam is considered for modeling the cutting tool. In the proposed model, cutting forces are applied at the end of the beam. Imposing spectral finite element model, the governing delay partial differential equations of the system reduce to nondelay ordinary differential equations. The main contributions of the current research are modeling the cutting tool as a continuous model by Timoshenko beam theory, finding and solving nondelay ordinary differential equations of the cutter via spectral finite element model, and studying the effects of gyroscopic and rotary inertial dynamics, completely. For validating, the system stability predictions obtained from the presented model are compared with experimental outcomes from the literature. Besides the common stability lobe diagram which is in terms of depth of cut and the spindle speed, other stability diagrams based on cutter length and diameter are illustrated. Using this model, influences of rotary inertial dynamics on these stability diagrams are investigated. The results show that ignoring the rotary inertial dynamics causes significant errors in prediction of chatter boundaries especially in high angular velocity of the tool. In addition, the effect of number of the cutter teeth on the stability of milling process is studied. The presented stability diagram may help a machinist to choose a better set of parameters, such as tool length and diameter, number of cutter flutes, depth of cut, and spindle velocity, for doing a stable milling process.

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“…Hesterman and Stone [29] considered that the effect of torsional vibration on grinding chatter has been largely neglected so far. However, recent studies on cylindrical cut-in grinding show that the torsional characteristics can significantly change the system behavior and can prevent the occurrence of chatter in some cases.…”

Section: Introductionmentioning

confidence: 99%

Study on Vibration Characteristics of Polishing Rod for Polishing Aeroengine Blade with Abrasive Cloth Wheel

Xian

Shi

Lin

et al. 2020

Mathematical Problems in Engineering

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The vibration of grinding tools is very essential to the performance of parts and the safety of machine tools. However, the vibrationis rarely studied in the process of polishing aeroengine blade with abrasive cloth wheel. Polishing force is measured by dynamometer in the process of polishing aeroengine blade with abrasive cloth wheel, and the time-domain expressions of polishing force are obtained. Time-domain and frequency-domain vibration solutions of position at which the abrasive cloth wheel is installed under the coupling of axial force and normal force are obtained by the simulation method. The results show that the total displacement is approximately equal to the displacement in the normal direction. The frequency-domain characteristics of axial force and normal force are similar. The frequency-domain characteristics of vibration in x, y, and z directions are similar. The component frequencies of polishing force are not the same as the component frequencies of rod vibration, which means the vibration is not stable. The range of spindle speed to avoid resonance in polishing process is calculated.

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Improved model of chatter in grinding, including torsional effects

Cited by 5 publications

References 5 publications

Regenerative and frictional chatter in plunge grinding

Regenerative and frictional chatter in plunge grinding

Investigation of rotary inertial dynamic effects on chatter boundary in milling process using three-dimensional Timoshenko tool model

Study on Vibration Characteristics of Polishing Rod for Polishing Aeroengine Blade with Abrasive Cloth Wheel

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