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A kinematic model shows that lobing stability in centerless grinding depends on regenerative cutting mechanisms and growth rate boundaries.
In this paper, a kinematic system model, the lobing loop, is proposed for lobing analysis in centerless grinding. The model shows that lobing is a result of the interaction between the regenerative cutting mechanism and geometric rounding mechanism. By using a new graphical method, the bidiagrammatical method, it was found that the characteristic roots of the lobing loop are limited within the respective root neighborhoods in the complex u-plane. This leads to: (1) a method of lobing stability estimation using the growth rate boundaries, and (2) an efficient way of solving for the characteristic roots using Taylor’s series approximation. The availability of the growth rate boundaries and characteristic roots provides an effective tool for lobing control in centerless grinding.
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Zhou et al. (1995) studied this question.
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