Analytical Modeling of Chatter Stability in Turning and Boring Operations—Part I: Model Development

[+] Author and Article Information
Emre Ozlu

Faculty of Engineering and Natural Sciences, Sabanci University, Orhanli, Tuzla 34956, Istanbul, Turkey

Erhan Budak

Faculty of Engineering and Natural Sciences, Sabanci University, Orhanli, Tuzla 34956, Istanbul, Turkeyebudak@sabanciuniv.edu

J. Manuf. Sci. Eng 129(4), 726-732 (Mar 14, 2007) (7 pages) doi:10.1115/1.2738118 History: Received June 01, 2006; Revised March 14, 2007

In this paper an analytical model for stability limit predictions in turning and boring operations is proposed. The multidimensional model includes the three-dimensional geometry of the processes resulting in an eigenvalue problem. In addition, a model for the chip thickness at the insert nose is proposed to observe the effect of the insert nose radius on the chatter stability limit. The model represents a development over existing ones due to accurate treatment of the multidimensional process dynamics and geometry, and resulting practical formulas for stability limit predictions. Chatter experiments are conducted for both turning and boring in order to verify the model predictions, and overall, an acceptable agreement is observed.

Copyright © 2007 by American Society of Mechanical Engineers
Topics: Stability , Chatter
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Figure 1

(a) Chip thickness in turning and (b) 3D view of the three cutting angles on the insert

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Figure 2

Three components of the total cutting force acting on the insert

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Figure 3

Division of chip thickness by trapezoidal elements (a) straight edge is also meshed, (b) straight edge is only defined by one element, and (c) the cutting forces acting on an element

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Figure 4

Schematic description of chip thickness and lathe coordinates in boring

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Figure 5

Comparison of matrix and 1D solution method for absolute stability limit in boring operations

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Figure 6

Variation of absolute stability limit with tool and workpiece stiffness for different r values




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