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International
OPEN ACCESS Journal
Of Modern Engineering Research (IJMER)
| IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 7 | Iss. 3 | Mar. 2017 | 34 |
Experimental Investigation and Analysis of Torque in Drilling
Hybrid Metal Matrix Composites using Fuzzy Logic Approach
Dr. A. Muniaraj
Department of Mechanical Engineering, Kings Engineering College, Irungattukottai, Sriperumbudur,
Chennai - 602 117, India
I. INTRODUCTION
Metal matrix composites have become the necessary materials in various engineering applications like
aerospace, marine and automobile engineering applications, because of their light-weight, high strength, stiffness
and resistance to high temperature [1]. Suresha et al., [2] have studied the percentage reinforcement of Gr in Al-
Gr composite and SiC in Al-SiC composite is limited to certain level beyond which it is not beneficial to add
either Gr or SiC as reinforcement. The use of multiple reinforcements yields hybrid composites to possess better
tribological properties over the composites with single reinforcement. Mahajan et al., [3] an effort was made to
fabricate a hybrid metal matrix composite, silicon carbide and titanium diboride reinforced In Al 6061 matrix
using stir casting method. Microstructure and mechanical properties such as micro hardness and wear were
studied for various compositions of reinforcements, 10% SiC and 2.5%, 5% and 10% TiB2. The results indicate
that the hardness value increases with the addition of the SiC and TiB2 reinforcements to matrix Al6061, while
the wear while the wear resistance increases up to certain amount and reduces drastically when crossed the
transition load. MuniaRaj [4] Studied and presented the effect of drilling parameters on Torque in drilling of
aluminium hybrid metal matrix composite (Al-15%SiC-4%Gr). The drilling parameters are used were spindle
speed, feed rate, and drill diameter for 3 levels. The optimized parameter of aluminium hybrid composite was
found by taguchi‟s L27 orthogonal array experimentation. The experiments are conducted on computer numeric
control vertical machining centre using multifaceted carbide drills of 4 mm, 8 mm and 12 mm diameter under
dry drilling conditions. Stir casting technique was used to fabricate this composite and the results indicated that
feed rate is the main parameter which influences The Torque in drilling of hybrid metal matrix Composites.
The fuzzy logic modeling technique is used for prediction. The theory of fuzzy logics, initiated by
Zadeh, has proven to be useful for dealing the uncertain and vague information [5].This theory has proved to be
an effective means for dealing with objectives that are linguistically specified. Linguistic terms, such as „low,‟
„medium‟ and „high‟ may be defined by fuzzy sets [6]. Since its introduction, fuzzy set theory has attracted the
attention of researchers in mathematical and engineering fields [7]. Jemielnaik [8] introduced the fuzzy decision
support system for the estimation of the depth of cut and flank wear during the turning process. Arghavani et al.,
[9] used fuzzy logic approach for the selection of gaskets in sealing performance. Yue jiao et al., [10] used fuzzy
adaptive networks in machining process modeling. They have used fuzzy logics for surface roughness prediction
in turning operations. Palanikumar et al., [11] used fuzzy logic for optimizing the multiple performance
characteristics.
In the present study, the fuzzy logic modeling technique is used as an efficient approach to predict the
torque values in drilling of Al6061-15% SiC-Gr metal matrix composite and the drilling experiments are
conducted as per Taguchi L 27 with TiN coated solid carbide twist drill
ABSTRACT :This paper presents an experimental investigation on torque in drilling of aluminium hybrid
metal matrix composite the machining parameters used here was speed, feed, drill diameter of the drill bits for
3 levels. The optimized response parameter of aluminium hybrid composite found by Taguchi L27 orthogonal
array experimentation. This hybrid metal matrix composite is fabricated using 50 micron sized Silicon Carbide
and graphite particles are reinforced into aluminium matrix material via stir casting process. The torque is
considered as experimental result and it is predicted using fuzzy logic. The results specify that the predicted
torque values
Keywords: Drilling, Fuzzy logic, hybrid metal matrix composite, torque
Experimental Investigation and Analysis of Torque in Drilling Hybrid Metal Matrix Composites using Fuzzy…
| IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 7 | Iss. 3 | Mar. 2017 | 35 |
II. EXPERIMENTAL
2.1Materials
Al-SiC-Gr Hybrid MMC work piece having aluminium alloy A6061 as the matrix and containing 15%
wt. of silicon carbide particles of 50μm and 5% wt. of Graphite particles of 50 μm.
2.2Fabrication of Hybrid Metal Matrix Composites
The hybrid metal matrix composite was fabricated by stir casting process. The base metal Aluminium
alloy 6061 is melted using electric arc furnace. Temperature of the melting process is 710 o
C - 725o
C. Once the
aluminium alloy is melted completely, then silicon carbide (15% by wt of particles) and graphite (5% by wt of
particles) are now preheated to a temperature of 790o
C. The melted aluminium alloy is stirred for about 5-6
minutes at 450 rpm. Silicon carbide, graphite particles are continuously added to the melt. After this stirring
purpose the molten mixture is poured into the pre heated metallic steel moulds of required shape to make the
Plate of 110mm x110mm x 5 mm size
2.3Experimental Procedure
The drilling tests were performed on ARIX - CNC machining center manufactured by ARIX CNC
machine Co. Ltd, Taiwan with tool dynamometer integral with it are presented in Fig.1
Fig.1 Experiment setup with dynamometer arrangement
The cutting tool selected for machining Al-SiC –Gr hybrid metal matrix composites was Tin coated solid carbide
twist drill having diameter 6 mm, 8 mm and 12 mm which are supplied by Onsrud Corporation, U.S.A and are
presented in Fig.2
Fig.2 TiN coated solid carbide twist drill bits used for experiments
Torque force was measured by using Unitech lathe tool dynamometer with digital indicator. The mean
torque force developed in drilling the composite material was measured using Kistler piezoelectric
Experimental Investigation and Analysis of Torque in Drilling Hybrid Metal Matrix Composites using Fuzzy…
| IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 7 | Iss. 3 | Mar. 2017 | 36 |
dynamometer. The drilling torque force signals were transmitted to Kistler charge amplifier and stored in
Pentium IV computer for further analysis. The acquired data is represented graphically in conjunction with the
various signals processing functions makes it easier to analyse the torque in Figure 3. The levels of machining
parameter used in the experiment are given in Table 1.
Fig.3 Measurement system used for capturing the Torque in drilling.
Table 1. Machining parameter and their levels
Level
Speed
(V = rpm)
Feed rate
(f = mm/rev)
Drill diameter
(d = mm)
1 1000 0.05 4
2 2000 0.10 8
3 3000 0.15 12
2.4 Taguchi Technique
Taguchi parameter design can optimize the performance characteristics through the setting of design
parameters and reduce the sensitivity of the system performance to the source of variation [12]. Taguchi
technique is a powerful tool for the design of high quality systems [13].It provides a simple, efficient and
systematic approach to optimize design for performance, quality and cost. The methodology is valuable when
design parameters are qualitative and discrete. Taguchi parameter design can optimize the performance
characteristics through the setting of design parameters and reduce the sensitivity of the system performance to
the source of variation [14]. This technique is multi step process, which follow a certain sequence for the
experiments to yield an improved understanding of product or process performance. The data collected from all
the experiments in the set are analyzed to determine the effect of various design parameters. This approach is to
use a fractional factorial approach and this may be accomplished with the aid of orthogonal arrays
III. FUZZY RULE BASEDMODEL FOR TORQUE IN DRILLING OF HYBRID METAL
MATRIX COMPOSITES
For modeling torque in drilling of hybrid metal matrix composite materials fuzzy logic method is used
in this work. Fuzzy logic describes the membership functions used in the fuzzy rules; and a reasoning
mechanism, which performs the inference procedure upon rules and given facts to derive a reasonable output or
conclusion [15-17]. The structure of a fuzzy logic system consists of three conceptual components: a fuzzy rule
base, which contains a selection of fuzzy rules; a data base. The fuzzy reasoning for three-input-two-output fuzzy
logic unit is designated as follows:
The fuzzy rule base contains of a group of IF- THEN statements with three inputs statements with three x 1, x 2
and x 3 an output y, i.e.
-------------------------------------------------------------------------------------------------------
Experimental Investigation and Analysis of Torque in Drilling Hybrid Metal Matrix Composites using Fuzzy…
| IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 7 | Iss. 3 | Mar. 2017 | 37 |
Ai, Bi, Ci, Di and E i are fuzzy subsets defined by the corresponding membership functions, i.e. µAi, µBi, µC i, µDi
and µEi . The membership functions used for the drilling machining parameters drill diameter, speed and feed rate
is presented in Figures 4, 5 and 6
Fig.4 Membership functions for input parameter speed Fig.5 Membership function for input parameter feed
Fig.6 Membership function for input parameter Diameter
Similarly, the membership functions used for the output responses torque is presented in Figs.7. The
number of membership functions used for the output response is nine such as LOWEST, LOWER, LOW, LOW
MEDIUM, MEDIUM, HIGH MEDIUM, HIGH, HIGHER AND HIGHEST. Further accurate results can be
attained by means of more number of membership functions and hence 9-membership functions were designated
for the current work.
Experimental Investigation and Analysis of Torque in Drilling Hybrid Metal Matrix Composites using Fuzzy…
| IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 7 | Iss. 3 | Mar. 2017 | 38 |
Fig.7 Membership function for Torque
IV. RESULT AND DISCUSSION
Hybrid metal matrix composite materials are composed of three different phases‟ viz., Aluminium metal
matrix phase reinforced with hard ceramic phase Silicon carbide and another one is soft lubricating phase
graphite. The joining of structures is an important concern. The effective joining is attained by using correct
drilled holes size in the work piece material. The torque developed in drilling operation is an important concern.
To model and analyze the torque in drilling of composite materials, fuzzy logic rule based model is introduced in
this work. Fuzzy logic is an important tool and it can be very useful for modeling the mechanical processes.
Fig.8 shows the comparison of experimental and fuzzy prediction result for torque in drilling of hybrid metal
matrix composites
Fig.8 Comparison of results between Fuzzy and experimental result for Torque
The graph is drawn for various experimental conditions with respect to the torque. The torque advanced
in drilling operation is proportional to the amount of damage that occurs in around the hole of the composite
materials. Proportional results were attained for drilling of composite materials. When tool torque observed in
machining is more, it leads to the damage to be occurring in the composite. The amount of torque in drilling of
Experimental Investigation and Analysis of Torque in Drilling Hybrid Metal Matrix Composites using Fuzzy…
| IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 7 | Iss. 3 | Mar. 2017 | 39 |
composite materials is to be reduced. For reducing of torque, modeling and optimization of process parameters
are required. In this work, fuzzy rule based modeling is used for the prediction of torque in drilling of composite
materials. From the Figs 8, it can be emphasized that the results attained through the fuzzy logic model are lmost
similar to that of the experimental results.
The analysis of cutting parameters on torque is an important concern. The increase of feed rate and
diameter increases the torque. The increase of drill diameter and feed rate increases the contact between the
workpiece material and it leads to high torque in drilling of composite materials..By keeping the low feed rate
and drill diameter one can reduces the torque in drilling of composite materials.
The adequacy of the developed fuzzy logic model has been verified through R-sq value. The quantity
R-Sq called as coefficient of determination is used to judge the adequacy of regression models developed. 0 < R
–Sq. R-Sq value is the variability in the data accounted by the model in percentage as
Where SSError is sum of square error and SS total is sum of square total. The coefficient of determination is
calculated using the above expression and does more than 98% for the present investigation for toque, which
shows that there is high correlation that exists between the experimental and predicted values.
Fig.9 Verification Test Results for Torque
Fig. 9 shows the Verification test results for torque, the experiment and verification test are very small
and hence fuzzy rule based modeling technique can be effectively used for the prediction of torque drilling of
metal matrix composites.
V. CONCULSIONS
The torque developed during drilling of composites has been investigated. Fuzzy rule based model has
been developed for predicting torque in drilling of composites. Based on the experimental and fuzzy modeling
results, the following conclusions are drawn:
1. Rule based fuzzy logic model for torque is developed from the experimental data.
2. The predicted fuzzy output values and measured values are fairly close to each other, which indicate that
the Fuzzy logic model can be effectively used to predict the torque in drilling of metal matrix
composites.
3. The verification test results reveal that the fuzzy rule based model is suitable for predicting the torque in
Drilling of hybrid metal matrix composites.
Experimental Investigation and Analysis of Torque in Drilling Hybrid Metal Matrix Composites using Fuzzy…
| IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 7 | Iss. 3 | Mar. 2017 | 40 |
REFERENCES
[1]. Weinert, K (1993). “A consideration of tool wear mechanism when machining metal matrix composites (MMC),”
CIRP Ann, 42: 95-98.
[2]. Suresha, S and B.K. Sridhara, “Effect of addition of graphite particulates on the wear behavior in aluminium–silicon
carbide–graphite composites. Materials and Design”, 2010; 31:1804–1812.
[3]. Mahajan G, Karve N, Patil U, Kuppan P, Venkatesan K.”Analysis of microstructure, hardness and wear of Al-
SiCTiB2 hybrid metal matrix composite”, Indian Journal of Science and Technology. 2015 Jan; 8(S2) 101–5.
[4]. Munia Raj A. “Experimental investigation and analysis of torque in drilling Al–15%SiC–4% graphite metal matrix
composites using response surface methodology”, Indian Journal of Science and Technology. 2014 Oct;7(S6):87–94.
[5]. Zadeh L. Fuzzy sets Information and Control. 1965; 8:338–53.
[6]. Raghukandan K, Hokamoto K, Manikandan P. “Optimization of process parameters in explosive cladding of mild
steel and aluminum”, Met Mater Int. 2004; 10(2):193–7.
[7]. Ross TJ. “Fuzzy logic with engineering applications”, Int edn, New York: Mc-Graw Hill. 1992.
[8]. M.Balazinski, and K.Jemielnaik, “Tool condition monitoring using fuzzy decision support system. In: V CIRP,”
International conference on monitoring and automatic supervision in manufacturing, Miedzesyn near Warsaw,
pp.115-121, 1998.
[9]. M.Arghavani, M.Derenne and L.Marchand, “Fuzzy logic application in gasket selection and sealing performance,”
International Journal of Advanced Manufacturing Technology, vol.18, pp.67-68, 2001.
[10]. Yue Jiao, Shuting Lei, Z.J.Pei, and E.S.Lee, “Fuzzy adaptive networks in machining process modeling: surface
roughness prediction for turning,”International Journal of Machine Tools & Manufacture, vol.44, pp.1643-1651,
2004.
[11]. K.Palanikumar, L.Karunamoorthy, R.Karthikeyan, and B.Latha, “Optimization of machining parameters in turning
GFRP composites using a carbide (k10) tool based on the Taguchi method with fuzzy logics,” Metals and Materials
International ,vol.12(6), pp.483-491,2006.
[12]. Ross, PJ (1998). “Taguchi techniques for quality Engineering”, Mc Graw Hill, New York.
[13]. Roy, KR (1990). “A primer on Taguchi Method”, Van Nostrad Reinhold, New York.
[14]. Taguchi, G (1993). “Taguchi on Robust Technology Development Methods”, ASME Press, New York, p. 1-40
[15]. Oguzhan Yilmaz, Omer Eyercioglu, and Nabil, N.Z. Gindy, “A user-friendly fuzzy-based system for the selection of
electro discharge machining process parameters”, Journal of Materials Processing Technology, vol.172, pp.363-371,
2006.
[16]. J.Sr Jang, C.T.Sun, and E. Mizutani, “Neuro-fuzzy and soft computing-A computational approach to learning and
machine intelligence”, Pearson Education, 2005.
[17]. L.Lin, K.S.Wang, B.H.Yan, and Tarng, “Optimization of the electrical discharge machining process based on the
Taguchi method with fuzzy logic”, Journal of materials Processing technology, vol.102, pp.48-55, 2000.

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Experimental investigation and analysis of torque in drilling hybrid metal matrix composites using fuzzy logic approach

  • 1. International OPEN ACCESS Journal Of Modern Engineering Research (IJMER) | IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 7 | Iss. 3 | Mar. 2017 | 34 | Experimental Investigation and Analysis of Torque in Drilling Hybrid Metal Matrix Composites using Fuzzy Logic Approach Dr. A. Muniaraj Department of Mechanical Engineering, Kings Engineering College, Irungattukottai, Sriperumbudur, Chennai - 602 117, India I. INTRODUCTION Metal matrix composites have become the necessary materials in various engineering applications like aerospace, marine and automobile engineering applications, because of their light-weight, high strength, stiffness and resistance to high temperature [1]. Suresha et al., [2] have studied the percentage reinforcement of Gr in Al- Gr composite and SiC in Al-SiC composite is limited to certain level beyond which it is not beneficial to add either Gr or SiC as reinforcement. The use of multiple reinforcements yields hybrid composites to possess better tribological properties over the composites with single reinforcement. Mahajan et al., [3] an effort was made to fabricate a hybrid metal matrix composite, silicon carbide and titanium diboride reinforced In Al 6061 matrix using stir casting method. Microstructure and mechanical properties such as micro hardness and wear were studied for various compositions of reinforcements, 10% SiC and 2.5%, 5% and 10% TiB2. The results indicate that the hardness value increases with the addition of the SiC and TiB2 reinforcements to matrix Al6061, while the wear while the wear resistance increases up to certain amount and reduces drastically when crossed the transition load. MuniaRaj [4] Studied and presented the effect of drilling parameters on Torque in drilling of aluminium hybrid metal matrix composite (Al-15%SiC-4%Gr). The drilling parameters are used were spindle speed, feed rate, and drill diameter for 3 levels. The optimized parameter of aluminium hybrid composite was found by taguchi‟s L27 orthogonal array experimentation. The experiments are conducted on computer numeric control vertical machining centre using multifaceted carbide drills of 4 mm, 8 mm and 12 mm diameter under dry drilling conditions. Stir casting technique was used to fabricate this composite and the results indicated that feed rate is the main parameter which influences The Torque in drilling of hybrid metal matrix Composites. The fuzzy logic modeling technique is used for prediction. The theory of fuzzy logics, initiated by Zadeh, has proven to be useful for dealing the uncertain and vague information [5].This theory has proved to be an effective means for dealing with objectives that are linguistically specified. Linguistic terms, such as „low,‟ „medium‟ and „high‟ may be defined by fuzzy sets [6]. Since its introduction, fuzzy set theory has attracted the attention of researchers in mathematical and engineering fields [7]. Jemielnaik [8] introduced the fuzzy decision support system for the estimation of the depth of cut and flank wear during the turning process. Arghavani et al., [9] used fuzzy logic approach for the selection of gaskets in sealing performance. Yue jiao et al., [10] used fuzzy adaptive networks in machining process modeling. They have used fuzzy logics for surface roughness prediction in turning operations. Palanikumar et al., [11] used fuzzy logic for optimizing the multiple performance characteristics. In the present study, the fuzzy logic modeling technique is used as an efficient approach to predict the torque values in drilling of Al6061-15% SiC-Gr metal matrix composite and the drilling experiments are conducted as per Taguchi L 27 with TiN coated solid carbide twist drill ABSTRACT :This paper presents an experimental investigation on torque in drilling of aluminium hybrid metal matrix composite the machining parameters used here was speed, feed, drill diameter of the drill bits for 3 levels. The optimized response parameter of aluminium hybrid composite found by Taguchi L27 orthogonal array experimentation. This hybrid metal matrix composite is fabricated using 50 micron sized Silicon Carbide and graphite particles are reinforced into aluminium matrix material via stir casting process. The torque is considered as experimental result and it is predicted using fuzzy logic. The results specify that the predicted torque values Keywords: Drilling, Fuzzy logic, hybrid metal matrix composite, torque
  • 2. Experimental Investigation and Analysis of Torque in Drilling Hybrid Metal Matrix Composites using Fuzzy… | IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 7 | Iss. 3 | Mar. 2017 | 35 | II. EXPERIMENTAL 2.1Materials Al-SiC-Gr Hybrid MMC work piece having aluminium alloy A6061 as the matrix and containing 15% wt. of silicon carbide particles of 50μm and 5% wt. of Graphite particles of 50 μm. 2.2Fabrication of Hybrid Metal Matrix Composites The hybrid metal matrix composite was fabricated by stir casting process. The base metal Aluminium alloy 6061 is melted using electric arc furnace. Temperature of the melting process is 710 o C - 725o C. Once the aluminium alloy is melted completely, then silicon carbide (15% by wt of particles) and graphite (5% by wt of particles) are now preheated to a temperature of 790o C. The melted aluminium alloy is stirred for about 5-6 minutes at 450 rpm. Silicon carbide, graphite particles are continuously added to the melt. After this stirring purpose the molten mixture is poured into the pre heated metallic steel moulds of required shape to make the Plate of 110mm x110mm x 5 mm size 2.3Experimental Procedure The drilling tests were performed on ARIX - CNC machining center manufactured by ARIX CNC machine Co. Ltd, Taiwan with tool dynamometer integral with it are presented in Fig.1 Fig.1 Experiment setup with dynamometer arrangement The cutting tool selected for machining Al-SiC –Gr hybrid metal matrix composites was Tin coated solid carbide twist drill having diameter 6 mm, 8 mm and 12 mm which are supplied by Onsrud Corporation, U.S.A and are presented in Fig.2 Fig.2 TiN coated solid carbide twist drill bits used for experiments Torque force was measured by using Unitech lathe tool dynamometer with digital indicator. The mean torque force developed in drilling the composite material was measured using Kistler piezoelectric
  • 3. Experimental Investigation and Analysis of Torque in Drilling Hybrid Metal Matrix Composites using Fuzzy… | IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 7 | Iss. 3 | Mar. 2017 | 36 | dynamometer. The drilling torque force signals were transmitted to Kistler charge amplifier and stored in Pentium IV computer for further analysis. The acquired data is represented graphically in conjunction with the various signals processing functions makes it easier to analyse the torque in Figure 3. The levels of machining parameter used in the experiment are given in Table 1. Fig.3 Measurement system used for capturing the Torque in drilling. Table 1. Machining parameter and their levels Level Speed (V = rpm) Feed rate (f = mm/rev) Drill diameter (d = mm) 1 1000 0.05 4 2 2000 0.10 8 3 3000 0.15 12 2.4 Taguchi Technique Taguchi parameter design can optimize the performance characteristics through the setting of design parameters and reduce the sensitivity of the system performance to the source of variation [12]. Taguchi technique is a powerful tool for the design of high quality systems [13].It provides a simple, efficient and systematic approach to optimize design for performance, quality and cost. The methodology is valuable when design parameters are qualitative and discrete. Taguchi parameter design can optimize the performance characteristics through the setting of design parameters and reduce the sensitivity of the system performance to the source of variation [14]. This technique is multi step process, which follow a certain sequence for the experiments to yield an improved understanding of product or process performance. The data collected from all the experiments in the set are analyzed to determine the effect of various design parameters. This approach is to use a fractional factorial approach and this may be accomplished with the aid of orthogonal arrays III. FUZZY RULE BASEDMODEL FOR TORQUE IN DRILLING OF HYBRID METAL MATRIX COMPOSITES For modeling torque in drilling of hybrid metal matrix composite materials fuzzy logic method is used in this work. Fuzzy logic describes the membership functions used in the fuzzy rules; and a reasoning mechanism, which performs the inference procedure upon rules and given facts to derive a reasonable output or conclusion [15-17]. The structure of a fuzzy logic system consists of three conceptual components: a fuzzy rule base, which contains a selection of fuzzy rules; a data base. The fuzzy reasoning for three-input-two-output fuzzy logic unit is designated as follows: The fuzzy rule base contains of a group of IF- THEN statements with three inputs statements with three x 1, x 2 and x 3 an output y, i.e. -------------------------------------------------------------------------------------------------------
  • 4. Experimental Investigation and Analysis of Torque in Drilling Hybrid Metal Matrix Composites using Fuzzy… | IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 7 | Iss. 3 | Mar. 2017 | 37 | Ai, Bi, Ci, Di and E i are fuzzy subsets defined by the corresponding membership functions, i.e. µAi, µBi, µC i, µDi and µEi . The membership functions used for the drilling machining parameters drill diameter, speed and feed rate is presented in Figures 4, 5 and 6 Fig.4 Membership functions for input parameter speed Fig.5 Membership function for input parameter feed Fig.6 Membership function for input parameter Diameter Similarly, the membership functions used for the output responses torque is presented in Figs.7. The number of membership functions used for the output response is nine such as LOWEST, LOWER, LOW, LOW MEDIUM, MEDIUM, HIGH MEDIUM, HIGH, HIGHER AND HIGHEST. Further accurate results can be attained by means of more number of membership functions and hence 9-membership functions were designated for the current work.
  • 5. Experimental Investigation and Analysis of Torque in Drilling Hybrid Metal Matrix Composites using Fuzzy… | IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 7 | Iss. 3 | Mar. 2017 | 38 | Fig.7 Membership function for Torque IV. RESULT AND DISCUSSION Hybrid metal matrix composite materials are composed of three different phases‟ viz., Aluminium metal matrix phase reinforced with hard ceramic phase Silicon carbide and another one is soft lubricating phase graphite. The joining of structures is an important concern. The effective joining is attained by using correct drilled holes size in the work piece material. The torque developed in drilling operation is an important concern. To model and analyze the torque in drilling of composite materials, fuzzy logic rule based model is introduced in this work. Fuzzy logic is an important tool and it can be very useful for modeling the mechanical processes. Fig.8 shows the comparison of experimental and fuzzy prediction result for torque in drilling of hybrid metal matrix composites Fig.8 Comparison of results between Fuzzy and experimental result for Torque The graph is drawn for various experimental conditions with respect to the torque. The torque advanced in drilling operation is proportional to the amount of damage that occurs in around the hole of the composite materials. Proportional results were attained for drilling of composite materials. When tool torque observed in machining is more, it leads to the damage to be occurring in the composite. The amount of torque in drilling of
  • 6. Experimental Investigation and Analysis of Torque in Drilling Hybrid Metal Matrix Composites using Fuzzy… | IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 7 | Iss. 3 | Mar. 2017 | 39 | composite materials is to be reduced. For reducing of torque, modeling and optimization of process parameters are required. In this work, fuzzy rule based modeling is used for the prediction of torque in drilling of composite materials. From the Figs 8, it can be emphasized that the results attained through the fuzzy logic model are lmost similar to that of the experimental results. The analysis of cutting parameters on torque is an important concern. The increase of feed rate and diameter increases the torque. The increase of drill diameter and feed rate increases the contact between the workpiece material and it leads to high torque in drilling of composite materials..By keeping the low feed rate and drill diameter one can reduces the torque in drilling of composite materials. The adequacy of the developed fuzzy logic model has been verified through R-sq value. The quantity R-Sq called as coefficient of determination is used to judge the adequacy of regression models developed. 0 < R –Sq. R-Sq value is the variability in the data accounted by the model in percentage as Where SSError is sum of square error and SS total is sum of square total. The coefficient of determination is calculated using the above expression and does more than 98% for the present investigation for toque, which shows that there is high correlation that exists between the experimental and predicted values. Fig.9 Verification Test Results for Torque Fig. 9 shows the Verification test results for torque, the experiment and verification test are very small and hence fuzzy rule based modeling technique can be effectively used for the prediction of torque drilling of metal matrix composites. V. CONCULSIONS The torque developed during drilling of composites has been investigated. Fuzzy rule based model has been developed for predicting torque in drilling of composites. Based on the experimental and fuzzy modeling results, the following conclusions are drawn: 1. Rule based fuzzy logic model for torque is developed from the experimental data. 2. The predicted fuzzy output values and measured values are fairly close to each other, which indicate that the Fuzzy logic model can be effectively used to predict the torque in drilling of metal matrix composites. 3. The verification test results reveal that the fuzzy rule based model is suitable for predicting the torque in Drilling of hybrid metal matrix composites.
  • 7. Experimental Investigation and Analysis of Torque in Drilling Hybrid Metal Matrix Composites using Fuzzy… | IJMER | ISSN: 2249–6645 | www.ijmer.com | Vol. 7 | Iss. 3 | Mar. 2017 | 40 | REFERENCES [1]. Weinert, K (1993). “A consideration of tool wear mechanism when machining metal matrix composites (MMC),” CIRP Ann, 42: 95-98. [2]. Suresha, S and B.K. Sridhara, “Effect of addition of graphite particulates on the wear behavior in aluminium–silicon carbide–graphite composites. Materials and Design”, 2010; 31:1804–1812. [3]. Mahajan G, Karve N, Patil U, Kuppan P, Venkatesan K.”Analysis of microstructure, hardness and wear of Al- SiCTiB2 hybrid metal matrix composite”, Indian Journal of Science and Technology. 2015 Jan; 8(S2) 101–5. [4]. Munia Raj A. “Experimental investigation and analysis of torque in drilling Al–15%SiC–4% graphite metal matrix composites using response surface methodology”, Indian Journal of Science and Technology. 2014 Oct;7(S6):87–94. [5]. Zadeh L. Fuzzy sets Information and Control. 1965; 8:338–53. [6]. Raghukandan K, Hokamoto K, Manikandan P. “Optimization of process parameters in explosive cladding of mild steel and aluminum”, Met Mater Int. 2004; 10(2):193–7. [7]. Ross TJ. “Fuzzy logic with engineering applications”, Int edn, New York: Mc-Graw Hill. 1992. [8]. M.Balazinski, and K.Jemielnaik, “Tool condition monitoring using fuzzy decision support system. In: V CIRP,” International conference on monitoring and automatic supervision in manufacturing, Miedzesyn near Warsaw, pp.115-121, 1998. [9]. M.Arghavani, M.Derenne and L.Marchand, “Fuzzy logic application in gasket selection and sealing performance,” International Journal of Advanced Manufacturing Technology, vol.18, pp.67-68, 2001. [10]. Yue Jiao, Shuting Lei, Z.J.Pei, and E.S.Lee, “Fuzzy adaptive networks in machining process modeling: surface roughness prediction for turning,”International Journal of Machine Tools & Manufacture, vol.44, pp.1643-1651, 2004. [11]. K.Palanikumar, L.Karunamoorthy, R.Karthikeyan, and B.Latha, “Optimization of machining parameters in turning GFRP composites using a carbide (k10) tool based on the Taguchi method with fuzzy logics,” Metals and Materials International ,vol.12(6), pp.483-491,2006. [12]. Ross, PJ (1998). “Taguchi techniques for quality Engineering”, Mc Graw Hill, New York. [13]. Roy, KR (1990). “A primer on Taguchi Method”, Van Nostrad Reinhold, New York. [14]. Taguchi, G (1993). “Taguchi on Robust Technology Development Methods”, ASME Press, New York, p. 1-40 [15]. Oguzhan Yilmaz, Omer Eyercioglu, and Nabil, N.Z. Gindy, “A user-friendly fuzzy-based system for the selection of electro discharge machining process parameters”, Journal of Materials Processing Technology, vol.172, pp.363-371, 2006. [16]. J.Sr Jang, C.T.Sun, and E. Mizutani, “Neuro-fuzzy and soft computing-A computational approach to learning and machine intelligence”, Pearson Education, 2005. [17]. L.Lin, K.S.Wang, B.H.Yan, and Tarng, “Optimization of the electrical discharge machining process based on the Taguchi method with fuzzy logic”, Journal of materials Processing technology, vol.102, pp.48-55, 2000.