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Closed Form Expression of Cutting Forces and Tool Deflection in End Milling Using Fourier Series  

Ryu, Shi-Hyoung (전북대학교 기계공학과)
Publication Information
Journal of the Korean Society for Precision Engineering / v.23, no.9, 2006 , pp. 76-83 More about this Journal
Abstract
Machining accuracy is closely related with tool deflection induced by cutting forces. In this research, cutting forces and tool deflection in end milling are expressed as a closed form of tool rotational angle and cutting conditions. The discrete cutting fores caused by periodic tool entry and exit are represented as a continuous function using the Fourier series expansion. Tool deflection is predicted by direct integration of the distributed loads on cutting edges. Cutting conditions, tool geometry, run-outs and the stiffness of tool clamping part are considered together far cutting forces and tool deflection estimation. Compared with numerical methods, the presented method has advantages in prediction time reduction and the effects of feeding and run-outs on cutting forces and tool deflection can be analyzed quantitatively. This research can be effectively used in real time machining error estimation and cutting condition selection for error minimization since the form accuracy is easily predicted from tool deflection curve.
Keywords
End milling; Cutting force; Tool deflection; Machining accuracy; Fourier series;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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