An analytical force mode applied to three-dimensional turning based on a predictive machining theory

Abstract Cutting forces play an important role in the three-dimensional turning processes and are commonly calculated by the mechanistic or empirical models which are considered time-consuming and impractical for various cutting conditions and workpiece-tool pair. Therefore, this paper proposes an analytical force model in three-dimensional turning based on a predictive machining theory, which adopts the non-equidistant shear zone model and regards the workpiece material properties, tool geometry and cutting conditions as the input data. In this model, the real cutting edge of the turning tool is decomposed into a series of infinitesimal cutting elements and the cutting action of which is equivalent to the oblique cutting process with the imposed condition that all chip elements flow in the same direction on account of the interaction between adjacent chip ones. Consequently, the cutting force components applied on each cutting element can be calculated using a modified version of predictive oblique cutting model and the total cutting forces are obtained by summing up the forces contributed by all cutting elements. Finally, the global and local chip flow angles are investigated under various conditions of tool geometry (edge inclination angle, lead angle, nose radius) and cutting parameters (depth of cut, feed, cutting velocity) in this model. Furthermore, a detailed parametric study is provided by the proposed analytical model of cutting forces in order to analyze the influences of cutting parameters and tool geometry on cutting forces, which are verified respectively by the experimental data. Good agreement shows the effectiveness of the proposed analytical model.

[1]  Matthew A. Davies,et al.  Recent advances in modelling of metal machining processes , 2013 .

[2]  Jun Wang,et al.  Development of a Chip Flow Model for Turning Operations , 2001 .

[3]  Binglin Li,et al.  Analytical prediction of cutting forces in orthogonal cutting using unequal division shear-zone model , 2011 .

[4]  Alain D'acunto,et al.  Effect of Cutting Edge Geometry on Chip Flow Direction – Analytical Modelling and Experimental Validation ☆ , 2017 .

[5]  Albert J. Shih,et al.  An Analytical Finite Element Model for Predicting Three-Dimensional Tool Forces and Chip Flow , 1996, Manufacturing Science and Engineering.

[6]  Masami Masuko,et al.  Analytical Prediction of Three Dimensional Cutting Process—Part 1: Basic Cutting Model and Energy Approach , 1978 .

[7]  Erhan Budak,et al.  Thermomechanical modeling of orthogonal cutting including the effect of stick-slide regions on the rake face , 2007 .

[8]  M. C. Shaw.  Metal Cutting Principles , 1960 .

[9]  Zhongtao Fu,et al.  Analytical Modelling of Milling Forces for Helical End Milling Based on a Predictive Machining Theory , 2015 .

[10]  A. Moufki,et al.  A new thermomechanical model of cutting applied to turning operations. Part I. Theory , 2005 .

[11]  Zhongtao Fu,et al.  An analytical force model for ball-end milling based on a predictive machining theory considering cutter runout , 2016 .

[12]  Erhan Budak,et al.  Development of a thermomechanical cutting process model for machining process simulations , 2008 .

[13]  Richard E. DeVor,et al.  Modeling of turning process cutting forces for grooved tools , 2002 .

[14]  M. C. Shaw,et al.  Mechanics of Machining: An Analytical Approach to Assessing Machinability , 1989 .

[15]  P.L.B. Oxley,et al.  Allowing for Nose Radius Effects in Predicting the Chip Flow Direction and Cutting Forces in Bar Turning , 1987 .

[16]  Guillaume Fromentin,et al.  From large-scale to micromachining: A review of force prediction models , 2013 .

[17]  Chen Ding,et al.  An analytical force prediction model for turning operation by round insert considering edge effect , 2017 .

[18]  Guillaume Fromentin,et al.  Generalised cutting force model including contact radius effect for turning operations on Ti6Al4V titanium alloy , 2016 .

[19]  Chih-Ching Lo,et al.  A tool-path control scheme for five-axis machine tools , 2002 .

[20]  P. Mathew,et al.  Allowing for End Cutting Edge Effects in Predicting Forces in Bar Turning with Oblique Machining Conditions , 1986 .

[21]  Zhong-tao Fu,et al.  Identification of constitutive model parameters for nickel aluminum bronze in machining , 2016 .

[22]  Mohammed Nouari,et al.  Modeling of velocity-dependent chip flow angle and experimental analysis when machining 304L austenitic stainless steel with groove coated-carbide tools , 2013 .

[23]  Steven Y. Liang,et al.  Modeling of Cutting Forces Under Hard Turning Conditions Considering Tool Wear Effect , 2005 .

[24]  Mohammed Nouari,et al.  A predictive hybrid force modeling in turning: application to stainless steel dry machining with a coated groove tool , 2015 .