Cutting speed and feed based model for evaluating parallelism deviations in horizontal dry turning of aluminium alloys.
Salguero, Jorge ; Sanchez, Jose Miguel ; Sebastian, Miguel Angel 等
1. INTRODUCTION
Aluminium alloys are widely used in aerospace industry due to their
excellent ratio weight/cost/mechanical properties. Thus, airship structural elements are mainly built by using aluminium alloys. These
alloys need to be processed by machining operations because of assembly
necessities, and a high quality finishing level are required for each
element of an airship, particularly for the machined aluminium alloy pieces (Carrilero et al., 2002; Nouari et al., 2003). Thus, dimensional
and geometrical design specifications must be rigorously followed.
Commonly, dimensional precision has been studied in the cutting process
of aluminium alloys. In the same way microgeometrical deviations have
been also studied, mainly based on roughness analysis. However,
macrogeometrical deviations, such as parallelism, are not ever taken
into account in those studies.
On the other hand, cleaner technologies must be applied in order to
reach higher levels of manufacturing sustainability. So, the employment
of hazardous, toxic and high environmental impact cutting fluids must be
minimised. In this way, cutting using minimum quantity of lubricant
(MQL) or, better, in absence of it have been promoted as environmentally
friendly alternatives to classical machining processes.
In this work, parallelism deviations (PD) of horizontally dry
turned UNS A97050 (Al-Zn) and UNS A92024 (Al-Cu) cylindrical bars have
been studied for different cutting speeds (v) and feeds (f) applied. The
obtained results have allowed establishing v and f based exponential
parametric model for the parallelism deviation as a function of those
cutting parameters for both alloys.
2. EXPERIMENTAL
The workpieces used in the experiments were cylindrical bars (150
to 200 mm long with diameters between 80 and 120 mm) of both alloys.
These samples were horizontally dry turned in a CNC Lathe. Cutting
speeds from 43 up to 170 m/min, and feeds from 0.05 up to 0.3 mm/rev
were applied (Tab.1), with a cutting depth maintained at 1 mm. The tools
employed were TiN covered WC-Co turning inserts.
Parallelism Deviation (PD) was measured with an experimental device
attached to the CNC Lathe, consisting in a comparer clock magnetically
placed in the tool revolver, in order to draw four horizontal lines
separated 90[degrees]. The points recording for the PD measurement was
achieved in these lines. PD points were acquired each 5 mm in each line.
Points were mathematically treated in order to obtain average values for
the four lines.
Finally, PD value was defined as the difference between the maximum
and minimum values of the recorded points. Parallelism deviation limits
is considered defined by two lines which are parallel to rotation axis
and which contains those extreme points.
3. RESULTS AND DISCUSSION
When a bar of aluminium alloy is dry-turned using TiN tools, a near
to pure aluminium coating is developed in the rake face of the insert
(Built-Up Layer, BUL). On the other hand, adhered alloy material can be
distinguished in tool edge (Built-Up Edge, BUE) (Sanchez et al., 2005).
Compositional characteristics of BUL and BUE are different because their
formation mechanism are also distinct. BUL and BUE development
influences the surface finish quality of the turned workpiece (Carrilero
et al., 2002; Sanchez et al., 2005).
Figure 1 plots the evolution of the average values of PD as a
function of cutting speed for the different feeds applied for each
alloy.
As it can be observed, there is a similar trend in the PD(v) for
each feed applied. In effect, a soft decrease of PD with the cutting
speed can be appreciated. According to that concluded in previous works,
it can be caused by the evolution of the changes in the tool geometry as
a consequence of the Built-Up Edge and Built-Up Layer formation (Marcos
et al., 2005; Sebastian et al., 2002).
[FIGURE 1 OMITTED]
As it can be observed in Figure 2, higher values of PD are obtained
for lowest speeds and highest feeds. This can be explained in terms of
the chip arrangement, that is also related to the surface finish of the
machined samples. In the cutting speeds and feeds range applied, a high
variety of chips geometry and length has been obtained, showing that
more continuous and larger chip is formed when cutting speed increases
and feed decreases (Rubio et al., 2006). However no convergence can be
observed but, moreover, a change in the tendencies can be appreciated
starting form a cutting speed of 85 m/min. This is in good agreement
with the influence of the BUL and BUE formation in the finish quality
observed in previous works (Carrilero et al., 2002; Sebastian et al.,
2002).
Classical parametric models for establishing relationships between
finishing quality variables (Ra, Rz) and cutting parameters (v,f,p) are
usually potential models (Sebastian et al., 2002; Chan et al, 2001;
Abouelatta and Madl, 2001; Sanchez et al., 2006). However, in this case,
very bad results were obtained applying potential models. Thus,
alternative models were tested. The best behaviour was reached for an
exponential model such as:
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (1)
For determining the values of the coefficients, a linear regression procedure has been followed over the linear form of equation (1),
written in a logarithmic scale.
ln (PD) = ln C + B = ln C + [2.summation over (i=1)] [2.summation
over (j=1)] [K.sub.ij] x [a.sup.i] x [v.sup.yj] (2)
Multilinear regressions for each alloy reported the values included
in Table 2.
From these values, the PD(v,f) parametric model can be constructed
by substituting them in equation (1) for each alloy:
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] ( 3)
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (4)
In equations (3) and (4) B coefficients are:
[B.sub.7050] = -0.22 x a x [v.sup.0.60] + 1.01 x [a.sup.2] x
[v.sup.0.60] - 0.01 x [a.sup.2] x [v.sup.1.20] (5)
[B.sub.2024] = 14.38 x a x [v.sup.-0.08] - 21.26 x [v.sup.-0.16] -
119.88 x [a.sup.2] x [v.sup.-0.08] + 174.13 x [a.sup.2] x [v.sup.-0.16]
(6)
Simulated PD(f,v) values showed a good approximation (higher that
95%) to those experimentally measured for v and f values included into
the range studied.
[FIGURE 2 OMITTED]
4. CONCLUSIONS
Parallelism deviation (PD) has been studied as a function of
cutting speed for each feed applied as well as a function of feed for
each cutting speed applied.
Results obtained have shown that higher values of PD are obtained,
in both alloys, for lowest speeds and highest feeds.
These results can be related with both chip arrangement and adhered
material forms in either tool edge or tool rake face.
Marginal PD(v) and PD(f) relationships allow considering the
establishment of a PD(v,f) parametric model.
The best adjustment has been reached for an exponential model as
that included in equation (1), whose results showed a good correlation
between experimental and simulated values of the parallelism deviation.
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SALGUERO, J[orge]; SANCHEZ, J[ose] M[iguel]; SEBASTIAN, M[iguel]
A[ngel]; SANCHEZ--CARRILERO, M[anuel] & MARCOS, M[ariano] *
* Supervisor, Mentor
Tab. 1. Cutting conditions
v (m/min) 43 65 85 125 170
f (mm/rev) 0.05 0.10 0.2 0.3
Tab. 2. Multilinear regressions values for each alloy.
C y [K.sub.11] [K.sub.12] K21 K22
UNS A92024 48.40 -0.08 14.38 -21.26 -119.9 174.13
UNS A97050 62.10 0.60 -0.22 0.00 1.01 -0.01