A comprehensive tool-wear/tool-life performance model in the ...
A comprehensive tool-wear/tool-life performance model in the ...
A comprehensive tool-wear/tool-life performance model in the ...
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880<br />
ARTICLE IN PRESS<br />
P.W. Marksberry, I.S. Jawahir / International Journal of Mach<strong>in</strong>e Tools & Manufacture 48 (2008) 878–886<br />
reduce mach<strong>in</strong><strong>in</strong>g cost associated <strong>in</strong> NDM and lesson <strong>the</strong><br />
environmental impact of manufactur<strong>in</strong>g operations.<br />
2. Mach<strong>in</strong><strong>in</strong>g <strong>model</strong><strong>in</strong>g background<br />
Several attempts have been made to develop methods<br />
[19–23] for accurately predict<strong>in</strong>g <strong>the</strong> effects of mach<strong>in</strong><strong>in</strong>g<br />
operations over <strong>the</strong> past several decades. A common<br />
approach for assess<strong>in</strong>g mach<strong>in</strong><strong>in</strong>g <strong>performance</strong> is <strong>tool</strong><strong>wear</strong>/<strong>tool</strong>-<strong>life</strong>.<br />
Tool-<strong>wear</strong>/<strong>tool</strong>-<strong>life</strong> is one of <strong>the</strong> most<br />
significant and necessary parameters required for process<br />
plann<strong>in</strong>g and total mach<strong>in</strong><strong>in</strong>g economics. A review of<br />
numerous <strong>the</strong>oretical and experimental techniques for<br />
predictive assessment of <strong>tool</strong>-<strong>wear</strong> and <strong>tool</strong>-<strong>life</strong> reveals<br />
that eight different types of <strong>tool</strong>-<strong>wear</strong>/<strong>tool</strong>-<strong>life</strong> relationships<br />
are commonly be<strong>in</strong>g used for dry mach<strong>in</strong><strong>in</strong>g, as<br />
shown <strong>in</strong> Table 2.<br />
The trend <strong>in</strong> <strong>tool</strong>-<strong>wear</strong>/<strong>tool</strong>-wife <strong>model</strong><strong>in</strong>g has been to<br />
extend Taylor’s basic equation. This is ma<strong>in</strong>ly due to <strong>the</strong><br />
direct relationship between cutt<strong>in</strong>g speed and <strong>tool</strong>-<strong>wear</strong>/<br />
<strong>tool</strong>-<strong>life</strong>. This relationship holds true for all mach<strong>in</strong><strong>in</strong>g<br />
operations and is considered as a basis for more advanced<br />
<strong>model</strong>s. Currently, a <strong>model</strong> does not exist for NDM and no<br />
attempts have been made to extend dry mach<strong>in</strong><strong>in</strong>g <strong>tool</strong><strong>wear</strong>/<strong>tool</strong>-<strong>life</strong><br />
<strong>model</strong>s. It is <strong>the</strong> author’s goal <strong>in</strong> this work to<br />
select <strong>the</strong> most appropriate dry mach<strong>in</strong><strong>in</strong>g <strong>model</strong> and<br />
extend it for NDM.<br />
The appropriate selection of a dry mach<strong>in</strong><strong>in</strong>g <strong>model</strong> for<br />
extension to NDM depends on various factors. First, it is<br />
important that <strong>the</strong> <strong>model</strong> be robust to accommodate a wide<br />
range of mach<strong>in</strong><strong>in</strong>g parameters and applications. The<br />
<strong>model</strong> should be easily modified and practical for <strong>in</strong>dustry<br />
applications where complete mach<strong>in</strong><strong>in</strong>g data is not available.<br />
Lastly, <strong>the</strong> <strong>model</strong> should be accurate, repeatable and<br />
suited for <strong>in</strong>dustrial use where experimental constants can<br />
be generated without us<strong>in</strong>g sophisticated equipment; such<br />
as <strong>tool</strong> dynameters to calculate forces, high-speed film to<br />
understand complicated chip flow paths and electron<br />
microscopes to determ<strong>in</strong>e residual stress patterns and<br />
material structure.<br />
Table 2<br />
Summary of <strong>tool</strong>-<strong>wear</strong> and <strong>tool</strong>-<strong>life</strong> <strong>model</strong>s for dry mach<strong>in</strong><strong>in</strong>g<br />
No. Tool-<strong>life</strong>/<strong>tool</strong>-<strong>wear</strong> equation Determ<strong>in</strong>ation of<br />
constants<br />
1 Taylor’s basic equation: VT n ¼ C C and n are<br />
experimentally determ<strong>in</strong>ed<br />
and currently available<br />
from many reference<br />
sources<br />
2 Taylor’s reference-speed based equation: V=V R ¼ðT R =TÞ n n is experimentally<br />
determ<strong>in</strong>ed and currently<br />
available from many<br />
reference sources<br />
3 Taylor’s extended equation: T ¼ C 2 =ðV P f q d r Þ All constants (C 2 , p, q and<br />
r) are experimentally<br />
determ<strong>in</strong>ed<br />
4 Temperature-based <strong>tool</strong>-<strong>life</strong> equation: yT n ¼ C 3 n is found between 0.01<br />
and 0.1 and C 3 is<br />
experimentally determ<strong>in</strong>ed<br />
5 Taylor’s extended equation <strong>in</strong>clud<strong>in</strong>g cutt<strong>in</strong>g conditions and<br />
<strong>tool</strong> geometry: C /½ðcot b tan aÞ n Fða; bÞ 1= 1<br />
Š<br />
6 Taylor’s extended equation <strong>in</strong>clud<strong>in</strong>g cutt<strong>in</strong>g conditions and<br />
workpiece hardness: T ¼ C 4 V n f m d P r q s t i u j x<br />
7 Taylor’s extended equation <strong>in</strong>clud<strong>in</strong>g cutt<strong>in</strong>g conditions and<br />
workpiece hardness: V ¼ C 5 =ðT m f y d x ðBHN=200Þ n Þ<br />
8 Taylor’s extended equation <strong>in</strong>clud<strong>in</strong>g chip groove effect factor<br />
and a <strong>tool</strong> coat<strong>in</strong>g effect factor:<br />
The <strong>in</strong>fluence of a and b<br />
can be <strong>the</strong>oretically<br />
determ<strong>in</strong>ed as partial<br />
contribution to Taylor’s<br />
constant C<br />
Requires excessive <strong>tool</strong><strong>life</strong><br />
test<strong>in</strong>g to determ<strong>in</strong>e all<br />
constants (C 4 , n, m, p, q, t,<br />
u and x)<br />
All constants (C 5 , m, y, x<br />
and n) are experimentally<br />
determ<strong>in</strong>ed<br />
Comment<br />
Most widely used<br />
equation; however, C and<br />
n apply to a particular<br />
<strong>tool</strong>–workpiece<br />
comb<strong>in</strong>ations<br />
n applies only to<br />
particular <strong>tool</strong>–workpiece<br />
comb<strong>in</strong>ations<br />
Gives better accuracy<br />
than Taylor’s basic<br />
equation, but more <strong>tool</strong><strong>life</strong><br />
tests are required<br />
Although <strong>the</strong> equation is<br />
set only on an empirical<br />
basis, it is not convenient<br />
for practical use <strong>in</strong> <strong>the</strong><br />
shop floor environment<br />
A complicated<br />
relationship between <strong>tool</strong><strong>life</strong><br />
and rake/clearance<br />
angles<br />
It is claimed that <strong>the</strong> data<br />
for sett<strong>in</strong>g up <strong>the</strong><br />
equation are generated<br />
from both laboratory and<br />
<strong>in</strong>dustrial sources<br />
It is claimed to be a good<br />
approximation for <strong>tool</strong><strong>life</strong><br />
ranges of 10–60 m<strong>in</strong><br />
Ref.<br />
Mills and Redford<br />
[24], Schey [25]<br />
Mills and Redford<br />
[24]<br />
Niebel et al. [26],<br />
Hoffman [27]<br />
Qu<strong>in</strong>to [28], Oxley<br />
[29]<br />
Lau et al. [22]<br />
Venkatesh [21]<br />
Wang and Wysk<br />
[30], Hoffman [27]<br />
T ¼ T R W g ðV R =VÞ W cð1=nÞ ; where W c ¼ n=n c and W g ¼ km=f n 1<br />
d n 2<br />
Constants (k, n 1 , n 2 and n c ) are experimentally determ<strong>in</strong>ed; m is <strong>the</strong> mach<strong>in</strong><strong>in</strong>g<br />
operation effect factor (with m ¼ 1 considered for turn<strong>in</strong>g)Extends <strong>the</strong> Taylor-type equation to <strong>in</strong>clude two new factors: <strong>tool</strong> coat<strong>in</strong>g effect factor and<br />
chip-groove effect factor. Equation also <strong>in</strong>cludes <strong>the</strong> effects of feed, depth of cut and cutt<strong>in</strong>g speed.Jawahir et al. [31], Li et al. [32]