Stability and dynamics of parallel plunge grinding

Yan, Yao; Xu, Jian; Wiercigroch, Marian

doi:10.1007/s00170-018-2440-9

Cited by 21 publications

(5 citation statements)

References 48 publications

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“…where k c is the contact stiffness and τ w and τ g are the time delays for the workpiece and the grinding wheel rotating once, respectively. Letting ω w and ω g represent the angular speeds of the workpiece and grinding wheel, the time delays are given by τ w = 2π/ω w and τ g = 2π/ω g [6][7][8][9][10].…”

Section: Grinding Wheel Workpiecementioning

confidence: 99%

“…It has been realized that the occurrence of grinding chatter is a kind of doubly regenerative vibration [5,6]. Unlike the turning [7,8] or milling [9,10] processes, which involve a single time delay from the regeneration of the workpiece, the dynamic behavior of the grinding process is affected by two distinct time delays induced by the regenerative effects on the surfaces of both the workpiece and the wheel.…”

Section: Introductionmentioning

confidence: 99%

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Stability Analysis and Nonlinear Chatter Prediction for Grinding a Slender Cylindrical Part

Sun

Yan

2023

Processes

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A cylindrical plunge grinding process was modeled to investigate nonlinear regenerative chatter vibration. The rotating workpiece was a slender Euler–Bernoulli beam, and the grinding wheel was a rigid body moving towards the workpiece at a very low feed speed. A numerical method was proposed to provide the critical boundaries for chatter-free grinding. It was demonstrated that the intersection set surrounded by these critical boundaries was the chatter-free region for the considered parameters. When these parameters were outside of the chatter-free region, the stable grinding process underwent a supercritical Hopf bifurcation, resulting in the loss of the chatter-free behavior and the emergence of periodic chatter motions. Then, the periodic motions of both the grinding wheel and the workpiece were predicted analytically using the method of multiple scales, showing the effect of the regenerative force on the grinding process. We demonstrated that the analytical prediction was valid since it agreed with the numerical simulation. The results showed that there exist three kinds of nonlinear chatter motion, with different amplitudes and mode frequencies.

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Section: Grinding Wheel Workpiecementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Stability Analysis and Nonlinear Chatter Prediction for Grinding a Slender Cylindrical Part

Sun

Yan

2023

Processes

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“…Chatter is closely related to the dynamic characteristics of the tool and workpiece as well as the grinding parameters [3] . Yao et al [4] employed parallel grinding in cylindrical plunge grinding, in which one grinding wheel is positioned opposite the other. The grinding stability and cutting efficiency can be largely improved by parallel grinding.…”

Section: Introductionmentioning

confidence: 99%

Chatter forecast for the grinding process considering the stiffness variation of the workpiece

Yao

2023

Third International Conference on Mechanical, Electronics, and Electrical and Automation Control (METMS 2023)

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A model to forecast chatter in surface grinding is proposed considering the stiffness variation along the longitudinal direction, which is suitable for beams with different kinds of constraints. Utilizing the method for stability analysis of control systems, the stability condition of the grinding system is obtained. According to the results from the model, the probability of chatter increases with the distance from the constraint under the same grinding condition. The stability limit curve (lobe diagram) at any position in the longitudinal direction could be acquired from the model, which can provide evidence for chatter avoidance. The stability diagram expresses a parameter space between the speed of the spindle and the nominal grinding depth, where the grinding process is stable using the parameters below the stability curve but unstable using the parameters above the stability curve. In this paper, grinding of a simply supported rail beam is taken as an example. The chatter forecast is verified via rail beam grinding.

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“…Sakata et al (2018) introduced a cutting force estimation method to avoid chatter in parallel turning processes with unequal pitch angles. In addition, Yan et al (2018) extended the parallel machining to grinding processes and reported that the grinding accuracy, stability and safety were enhanced under parallel grinding. These existing parallel machining processes were mostly operated within a single milling/turning center with dual spindles; however, flexible handling of thin-walled parts with varying geometrical features and sizes remains an unaddressed challenge.…”

Section: Introductionmentioning

confidence: 99%

Double-sided milling of thin-walled parts by dual collaborative parallel kinematic machines

Curley

Higgins

et al. 2022

Journal of Materials Processing Technology

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Stability and dynamics of parallel plunge grinding

Cited by 21 publications

References 48 publications

Stability Analysis and Nonlinear Chatter Prediction for Grinding a Slender Cylindrical Part

Stability Analysis and Nonlinear Chatter Prediction for Grinding a Slender Cylindrical Part

Chatter forecast for the grinding process considering the stiffness variation of the workpiece

Double-sided milling of thin-walled parts by dual collaborative parallel kinematic machines

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