The study of the roughness established in laser beam machining of glass reinforced composite polymeric materials.
Ionescu, Nicolae ; Visan, Aurelian ; Doicin, Cristian 等
1. INTRODUCTION
The laser beam cutting work- through has lately undergone a major
interest, from both an industrial and from a research point of view. As
far as the composite materials work-through is concerned, the main
strong points in favour of using this procedure are associated to some
widely followed-up industrial applications such as: the lack of the
work-through forces, a constant stability, a proper availability etc.
Among the main limits of the work-through applicability, one can
counter both the insufficient knowledge level of the roughness function
obtained when different composite material are worked through and the
insufficient knowledge level of roughness "addiction" to the
process factors (Iliescu et al., 2007). In order to solve the problem,
one must find out both the roughness determination and the roughness
dependence of the electrical and technological parameters.
The authors' new proposed and designed solution consists of
the experimental modelling of the process by finding out the
"roughness-of-cutted-surface" process function determination
and of its interaction with the main electrical and technological
parameters (namely the laser beam power, the pattern of the
worked-through material) due to the experimentation of three materials
and of their thickness.
Taking into consideration the results provided by the authors,
there is hope to be a future opportunity of going on with the research
to elaborate and experiment a mathematical approach to optimising the
process parameters such as the defining of the goal function and of the
restrictive functions, functions among which
"roughness-of-cutted-surface" function to become one of the
restrictions of the model.
2. METHODOLOGY AND MEANS OF RESEARCH
The variables and the process functions. In the instance of laser
cutting we appreciate that the independent global variables are,
basically speaking, the processed material and the work regime. As
regarding the processed material, for the specific case of the laser
cutting of the polymeric composite materials, a series of parameters
connected to the material are particularly important, like the thickness
of the material, the nature of the material of the basic matrix, the
type of fibbers, the arrangement of fibbers, the fibber glass
concentration, etc.
The variables associated with the pattern of the material have to
be taken into consideration, so we have designed three representative
composite polymeric materials, having as base material the polyesteric
resin and armed with glass fibbers.
[FIGURE 1 OMITTED]
The name of these representative materials have been chosen
depending on the shape, the dimensions and the fibbers arrangement, as
follows: STRATIFICATION, symbolised in the paper as ST, for which the
fibbers are long, and arranged in layers (Figure 1a), CHOPPED FIBBER,
symbolised FT, for which the glass fibbers are shorter than 10 mm and
randomly arranged (Figure 1b) and FABRIC, symbolised TS, for which the
glass fibbers are long and resemble a woven cloth, arranged in several
layers (Figure 1c).
The base matrix is an orthoftaltic polyesteric resin with moderate
reactivity (Hadar, 2002). The main characteristics of the glass fibbers
are: fibber diameter--13[micro]m, density--2,54 g/[cm.sup.3],
hardness--6,5 MOHS and tensile breaking strength 1,47 GPa. The fibber
glass contents are 25-30% for FT, 30-35% for ST and 35-40% for TS.
As concerning the work regime, based on the preliminary research we
have established the following main parameters: the power of the laser
PL (W), the thickness of the material g (mm) and the cutting speed v
(m/min). The pressure of the processing gas--nitrogen, was maintained at
the constant value of 6 bar.
This paper presents the regarding "The roughness of the cut
surface" process function determination for those three under
research materials, namely Yi = Rai = Rai ([P.sub.L], v, g) [[micro]m],
under a general form (Gheorghe et al., 1985):
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (1)
For those three materials above mentioned, i = FT, ST and TS, we
have established the absolute process indexes [I.sub.aFT], considered to
be a referential one, [I.sub.aST] and [I.sub.aTS], that will be
calculated for the central values of the independent variables,
respectively [P.sub.L] = 1330 W, v = 2,6 m/min and g = 3,5 mm. Also, we
established the relative process indexes [I.sub.rFT] =
[I.sub.aFT]/[I.sub.aFT] = 1, [I.sub.rST] = [I.sub.aST]/[I.sub.aFT] and
[I.sub.rTS] = [I.sub.aTS]/[I.sub.aFT].
Characteristics of the means of inspection and the measuring mode.
Roughness has been measured as follows (Amza, 2007): for materials with
thickness less or equal to 2 mm--in the middle of the thickness of the
material--and for materials thicker than 2 mm--at 2/3 of the thickness
of the material from the side where the laser goes in.
Experimental programme and variation intervals for the processing
regime parameters. A programme consisting of 12 experiments has been
undergone in order to find out the roughness process function
determination for those three under research materials, a programme in
which each of the three under variation parameters has got three
variables, variables determined due to some preliminary attempts such
as: [P.sub.L] = 570; 1330 and 3100 W; v = 1,5; 2,6 and 4,5 m/min; g = 2;
3,5 and 6 mm.
[FIGURE 2 OMITTED]
3. EXPERIMENTAL RESULTS
After conducting the experiments (Popescu, 2004) and mathematically
processing the data, we have determined the following process functions:
[Ra.sub.ST] = [e.sup.2,160] x [P.sup.-0,148.sub.L] x [v.sup.0,314]
x [g.sup.0,048] (2)
[Ra.sub.FT] = [e.sup.1,730] x [P.sup.-0,057.sub.L] x [v.sup.0,010]
x [g.sup.0,049] (3)
[Ra.sub.TS] = [e.sup.1,794] x [P.sup.-0,062.sub.L] x [v.sup.0,011]
x [g.sup.0,057] (4)
Absolute micro-geometrical precision indicators have been
determined, based on (2), (3), (4) functions as follows: [I.sub.aST] =
4,287; [I.sub.aFT] = 4,018 and [I.sub.aTS] = 4,178 and relative
micro-geometrical precision indexes: [I.sub.rST]=1,066; [I.sub.rFT]=1,00
and [I.sub.rTS]=1,039.
4. THE INFLUENCE OF THE PARAMETERS OF THE WORK REGIME ON ROUGHNESS
The influence of power on roughness. Based on these functions, we
can establish that for the three materials being studied, the roughness
lowers when the power increases, according to figure 2, designed for ST
material. This can be accounted for by the fact that with the increase
of the laser power, the amount of energy transferred to the material
increases and, as a consequence, the amount of vaporised material
increases. We notice that we get similar values of roughness for the
three materials and that the variation of power within the limits
200-3500 W does not lead to a significant reduction of roughness. Also,
we can appreciate that, for most of the values of power, the highest
values of roughness are those for the material ST, followed by the
materials TS and FT.
The influence of speed on roughness. We've found a slight
increase in the roughness when the cutting speed increases within the
limit 0,5, ..., 5 m/min (Figure 3).
This can be accounted for by the fact that with the increase of the
cutting speed, the contact time between the laser beam and a certain
area of the material decreases and, as a consequence, the amount of heat
transferred to the material decreases and thus the mass of vaporised
material decreases. We notice that, for most cutting speed values, the
roughness has its highest values for the material ST, followed by the
materials TS and FT respectively.
[FIGURE 3 OMITTED]
[FIGURE 4 OMITTED]
The influence of thickness on roughness. We notice that, the
roughness slightly increases with the increase of the thickness of the
material (Figure 4). This can be accounted for by the fact that, with
the increase of the thickness, the amount of material that needs to be
vaporised, at the same power level, increases, which determines a slight
melting of the fibber glass.
We can establish that the smallest variation of the roughness when
thickness varies, is that of the FT material. The smallest roughness
being that of the material FT followed by that of the material TS and
that of the material ST. This observation leads to the conclusion that
the roughness depends on the fibber glass percentage but also on its
distribution.
5. CONCLUSIONS
1. The roughness increases when the g thickness and the v speed are
increased and decreases when the [P.sub.L] power increases.
2. The strongest influence on the roughness is that of the speed v,
for ST, of the thickness of the material g, for TS and the power
[P.sub.L] for FT.
3. For most of the regimes, the smallest values of roughness are
obtained for FT, followed in order by TS and ST.
4. For all three studied materials, we find a slight reduction of
roughness with the power increase within the interval 200, ..., 3500 W,
a relatively small increase in the roughness with the increase of the
thickness g within the interval 0,5, ..., 6 mm and a slight increase in
the roughness with the increase of the cutting speed v within the limit
0,5, ..., 5 m/min.
5. The relatively close values of the roughness for the three
materials, lead to the idea of extrapolating the results for other types
of materials with similar structures and properties.
6. The limitations of our research are given by the difficulty of
results' extrapolation beyond the studied area of values.
7. The results of our research will be used to elaborate a
mathematical model to optimise the process parameters from the
micro-geometrical precision point of view.
6. REFERENCES
Amza, C. (2007). Intelligent X-Ray Imaging Inspections System for
Composite Materials with Polymeric Matrix, Composites--Statistic Models
of Surface Roughness, Plastic Materials, No. 4, MPLAAM 44(4)2007, pp.
326-331, ISSN 0025/5289
Gheorghe, M. et al. (1985). Algorithm for regression functions,
Scientific Bulletin of POLITEHNICA University of Bucharest, Series D,
ISSN, 1220-3041, tom XLVI-XLVII, pp. 176-189
Hadar, A. (2002). Stratified Composite Structures, Romanian Academy
Publ., ISBN 973-27-0961-8, Bucharest
Iliescu, M., Spanu P., Costoiu, S., (2007). Glass Fibres Reinforced
Polymeric Composites--Statistic Models of Surface Roughness, Plastic
Materials, No. 4, MPLAAM 44(4)2007, pp. 365-369, ISSN 0025/5289
Popescu, D. (2004). Contributions in determination of technological
features of laser beam machining, Ph.D. Thesis, POLITEHNICA University
of Bucharest