Determination of experimental,analytical,and numerical values of tool deflection at ball end milling of inclined surfaces

Abstract

The deflections appeared by cutting forces in ball end milling of inclined surfaces can result in defects in workpiece. Finding deflection values has a significant importance for keeping the production within the appropriate tolerances and in lessening production costs. The aim of this study was to evaluate tool deflection values experimentally, analytically, and numerically depending on cutting force in ball end milling of inclined convex and concave surfaces of DIN 1.2344 using TiN-coated cutting tool. The experiments were conducted with different cutting tools strategies and cutting parameters at related parameter levels. During machining, real time cutting tool deflections were recorded by inductive sensors for the experiments. In analytical studies, tool deflections were calculated depending on cutting force using cantilever beam method. In numerical studies, the solution was made with the finite element method. In the implementation of this method, commercial finite element software ANSYS was used. As a result, the values of tool deflections measured experimentally were found to match closely with analytical and numerical studies. The most effective parameters within the selected cutting parameters for both inclined surfaces were found step over and feed rate. At the same time, the measurement of dynamic deflection with inductive sensors was found to be beneficial for three-axis milling operations.

Keywords

Tool deflection finite element method (FEM)cutting force

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References

Trent

Wright

. Metal cutting. 4th ed, Butterworths: Elsevier Science, 2000.

Zhou

Andersson

Ståhl

. Identification of cutting errors in precision hard turning process. J Mater Process Technol 2004; 153–154(0): 746–750.

Gok

Gologlu

Demirci

. Determination of surface qualities on inclined surface machining with acoustic sound pressure. strojniški vestnik. J Mech Eng 2012; 58(10): 587–597.

Shatla

Altan

. Analytical modeling of drilling and ball end milling. J Mater Process Technol 2000; 98(1): 125–133.

Ikua

Tanaka

Obata

. Prediction of cutting forces and machining error in ball end milling of curved surfaces - I theoretical analysis. Precis Eng 2001; 25(4): 266–2673.

Kim

Chu

. Estimation of cutter deflection and form error in ball-end milling processes. Int J Machine Tools Manuf 2003; 43(9): 917–924.

López de Lacalle

Lamikiz

Sánchez

. Effects of tool deflection in the high-speed milling of inclined surfaces. Int J Adv Manuf Technol 2004; 24(9–10): 621–631.

Jalili Saffar

Razfar

Zarei

. Simulation of three-dimension cutting force and tool deflection in the end milling operation based on finite element method. Simul Modell Practice Theor 2008; 16(10): 1677–1688.

Salgado

López de Lacalle

Lamikiz

. Evaluation of the stiffness chain on the deflection of end-mills under cutting forces. Int J Machine Tools Manuf 2005; 45(6): 727–739.

10.

Jin

Altintas

. Prediction of micro-milling forces with finite element method. J Mater Process Technol 2012; 212(3): 542–552.

11.

Dow

Miller

Garrard

. Tool force and deflection compensation for small milling tools. Precision Eng 2004; 28(1): 31–45.

12.

Gologlu

Sakarya

. The effects of cutter path strategies on surface roughness of pocket milling of 1.2738 steel based on Taguchi method. J Mater Process Technol 2008; 206(1–3): 7–15.

13.

Gok

Gologlu

Demirci

. Cutting parameter and tool path style effects on cutting force and tool deflection in machining of convex and concave inclined surfaces. Int J Adv Manuf Technol 2013; 69(5–8): 1063–1078.

14.

Nicola

Missell

Zeilmann

. Surface quality in milling of hardened H13 steel. Int J Adv Manuf Technol 2010; 49(1–4): 53–62.

15.

Ikua

Tanaka

Obata

. Prediction of cutting forces and machining error in ball end milling of curved surfaces - II experimental verification. Precision Eng 2002; 26(1): 69–82.

16.

Milfelner

Cus

. Simulation of cutting forces in ball-end milling. Robot Comput Integrated Manuf 2003; 19(1–2): 99–106.

17.

Lee

Altintaş

. Prediction of ball-end milling forces from orthogonal cutting data. Int J Machine Tools Manuf 1996; 36(9): 1059–1072.

18.

Kline

DeVor

Lindberg

. The prediction of cutting forces in end milling with application to cornering cuts. Int J Machine Tool Des Res 1982; 22(1): 7–22.

19.

Yang

Park

. The prediction of cutting force in ball-end milling. Int J Machine Tools Manuf 1991; 31(1): 45–54.

20.

Sim

Yang

. The prediction of the cutting force in ball-end milling with a flexible cutter. Int J Machine Tools Manuf 1993; 33(2): 267–284.

21.

Lazoglu

. Sculpture surface machining: a generalized model of ball-end milling force system. Int J Machine Tools Manuf 2003; 43(5): 453–462.

22.

Tlusty

Elbestawi

. Constraints in adaptive control with flexible end mills. Ann CIRP 1979; 28: 253–255.