A Study of Grinding Force Mathematical Model

Li, Lichun; Jizai, Fu; Peklenik, J.

doi:10.1016/s0007-8506(07)61330-4

Cited by 101 publications

(19 citation statements)

References 3 publications

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“…The rubbing force results from the elastic or elasticplastic contact between grit wear flat area and the workpiece surface [41]. It is experimentally proved that the normal force varies with the wear area [42]. Shao [43] proposed an analytical approach to calculate the normal and shear stress in the wear flat area.…”

Section: Modeling Of Mechanical Effects In Micro-grindingmentioning

confidence: 99%

Forces prediction in micro-grinding single-crystal copper considering the crystallographic orientation

Zhao

et al. 2018

Manufacturing Rev.

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In the micro-grinding of single-crystal copper, the effect of crystallography becomes significant as the wheel works intra-crystalline. To quantify the effect of crystallographic orientation (CO) related to the cutting direction on the micro-grinding process, this article presents a Taylor factor model by examining the number and style of activated slip systems. Then, the flow stress model of monocrystalline material is developed considering the variation of the Taylor factor. Furthermore, the models of chip formation and rubbing forces are derived from the flow stress model, while the plowing force is predicted by the Vickers hardness. Then, the overall grinding force model of the whole wheel is developed by incorporating the process parameters and the wheel properties. Finally, micro-grinding experiments are conducted to verify the model, using only the Taylor factor as the variable. The proposed analysis is also compared with the previously reported model, which considers the Taylor factor as a constant of 3.06. The comparison between the two predictions and experimental data shows that the consideration of Taylor factor variability improves the accuracy of prediction.

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Section: Modeling Of Mechanical Effects In Micro-grindingmentioning

confidence: 99%

Forces prediction in micro-grinding single-crystal copper considering the crystallographic orientation

Zhao

et al. 2018

Manufacturing Rev.

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“…With the increase of the normal force, the tangent grinding force grows proportionally [5,12]. Moreover, given the wheel-workpiece contact is a partial fluid lubrication due to the use of coolant liquid in the contact zone, the friction coefficient is selected to be velocity soften [2,3].…”

Section: Tangent Frictional Forcementioning

confidence: 99%

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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“…(1), the grinding force F g is a non-linear function of grinding depth D g (m). Based on the model proposed by Li et al [36], the force is presented as…”

Section: Dynamic Modelmentioning

confidence: 99%

“…(3), WKðr w N w =r g N g ÞD g is the chip formation component of the grinding force, representing grains cutting the workpiece materials. By contrast, WCðr w N w =r g N g Þ μ D ð1 þ μÞ=2 g is the friction force, standing for the sliding friction between the tip flats of active grains and the workpiece [36]. Moreover, Eq.…”

Section: Dynamic Modelmentioning

confidence: 99%