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Indonesian Journal of Electrical Engineering and Computer Science
Vol. 7, No. 3, September 2017, pp. 887 ~ 892
DOI: 10.11591/ijeecs.v7.i3.pp887-892  887
Received May 10, 2017; Revised July 25, 2017; Accepted August 8, 2017
Comparison of Surface Roughness Prediction with
Regression and Tree Based Regressions during Boring
Operation
S. Surendar, M. Elangovan*
Department of Mechanical Engineering, Amrita School of Engineering, Coimbatore, Amrita Vishwa
Vidyapeetham, Amrita University, India
*Corresponding author, e-mail: m_elangovan@cb.amrita.edu
Abstract
Modern manufacturing methods permit the study and prediction of surface roughness since the
acquisition of signals and its processing is made instantaneously. With the availability of better computing
facilities and newer algorithms in the machine learning domain, online surface roughness prediction will
lead to the manufacture of intelligent machines that alert the operator when the process crosses the
specified range of roughness. Prediction of surface roughness by multiple linear regression, regression
tree and M5P tree methods using multivariable predictors and a single response dependent variable Ra
(surface roughness) is attempted. Vibration signal from the boring operation has been acquired for the
study that predicts the surface roughness on the inner face of the workpiece. A machine learning approach
was used to extract the statistical features and analyzed by four different cases to achieve higher
predictability, higher accuracy, low computing effort and reduction of the root mean square error. One case
among them was carried out upon feature reduction using Principle Component Analysis (PCA) to
examine the effect of feature reduction.
Keywords: Multiple linear regression, Regression Tree, M5P Tree, KNIME Analytics Platform, feature
reduction
Copyright © 2017 Institute of Advanced Engineering and Science. All rights reserved.
1. Introduction
Tool condition monitoring (TCM) and digital signal processing are prominences in
manufacturing that prevent damages to workpieces when a faulty condition is about to occur [1].
Prediction of surface roughness during the turning process has always attracted the
researchers. This study becomes more relevant in today’s context where customer expectations
on quality parts within the delivery period are high. Unexpected breakdown or failure of cutting
tools increases the downtime, loss of production and maintenance costs. This has triggered
industrial persons and academic researchers to focus their attention on such studies using the
new techniques and new algorithms available in this field. Tool condition monitoring and
diagnosis involve the acquisition of signals, processing, and analysis of data related to tool wear
and surface roughness under experimental conditions and interpreted to suit real applications.
Feed rate, depth of cut and speed influence the surface roughness of the inner wall of
the work piece. In addition, the conditions of the tool, rigidity of the machine, work material also
play a role. A product may require a specified surface roughness as designed by designer either
for functional or any other reasonable requirement. These studies have been made to correlate
the surface roughness with the machining parameters along with the condition of the tool. The
vibration signal acts as an indicator of the surface roughness. Hence, keeping all the other
parameter constant, a study can be carried out at various tool conditions (flank wear) and
cutting conditions and establish experimentally a relation between vibration (during machining)
and surface roughness (Ra). The overhang of the boring bar contributes to chatter and
imperfections in the surface finish. F. Kuster and P. E. Gygax explained the importance of
keeping the boring bar L/D ratio below 6 for better cutting conditions, low vibrations and better
finish [2]. K. Venkata Rao et al. had acquired vibration signal using laser topology on the work-
piece and used ANN (Artificial Neural Network) for surface roughness prediction [3]. M.
Elangovan et al. also used vibration signal captured using accelerometer but performed feature
 ISSN: 2502-4752
IJEECS Vol. 7, No. 3, September 2017 : 887 – 892
888
reduction using principle component analysis and later applied multiple linear regression
method for prediction of surface roughness [4]. S. C. Lin and M. F. Chang confirmed that
surface roughness strongly correlates with cutting tool vibration [5]. Shinn-Ying Ho et al. used
the image of the work piece to predict the surface roughness by using the gray scale [6]. Lin et
al. used the abductive network and regression analysis methods for prediction of cutting force
and surface roughness during machining [7]. Machine learning concept introduced in different
areas like medical field for predicting the diseases, power distribution, condition monitoring etc.
[8-9]. For instance, A. Etemad-Shahidi and J. Mahjoobi used network tree and M5 model tree
for prediction of wave height in the lake and stated that M5 model tree results were more
accurate than artificial neural networks result [10]. C. J. Poor and J. L. Ullman inferred that
regression tree (RT) has higher predictability than multiple linear regression (MLP) [11]. A.M.
Handhal showed that both adaptive neuro-fuzzy inference system (ANFIS) and M5 model tree
have similar results but ANFIS has a more complex structure than M5 model tree [12].
Among the various regression methods, a study was drawn out to find the one that has
the least root mean squared error (RMSE) value and the lowest computational time. The study
proposes, prediction of surface roughness during a boring operation by using multiple linear
regression (MLR), regression tree and M5P tree then followed by extracting the statistical
features from the vibration signal and finally results are compared by analyzed in four cases as
follows:
Case I: the arithmetic mean (statistical features) of the vibration signal
Case II: First four moments of the statistical features
Case III: Statistical features of the vibration signal
Case IV: feature reduction by principle components analysis (PCA)
2. Methodology
In order to evolve a prediction model, surface roughness (Ra) values were recorded for
every experiment that was conducted by varying the cutting parameters and flank wear of the
cutting tool during a boring operation. Simultaneously, the vibration signals were acquired using
a DAQ unit. For every variation of the parameters, surface roughness (Ra) value was measured
using a stylus probe type (HandySurf) surface measurement instrument. A cutoff length of 2.5
mm and measuring the length of 12.5 mm was used and the average Ra value is recorded. A
prediction model using M5P tree, multiple linear regression and regression tree was carried out
using KNIME Analytics Platform. The data was manipulated using 10-fold cross validation.
3. Multiple Linear Regression
If two or more independent variables in a linear regression analysis have one
dependent variable is called multiple linear regression (MLR). Multiple linear regression is one
of the easiest as well as an excellent method for the prediction of numerical values and it has
been widely used technique for statistical application. MLR model develops a relationship in the
straight line (linear) form that best approximates of the all the single data points. The basic
regression model is of the form Y=x0+g1x1+g2x2 + ….. +gnxn where, Y is the predictand or
dependent variable and x1, x2,…, xn are the independent variables or predictors that are related
to Y. x0 is the value of Y when all the predictor variables are equal to zero. g1, g2,…, gn are the
regression coefficients of the predictor variable that are calculated from the training data set.
Estimate the mean square error and root mean squared error using statistical software.
Y
2
= ∑ ( ) where P is regression coefficient, N-P is degree of freedom and is
measured surface roughness (Ra) value.
4. Regression Tree
A regression tree is a combination of the decision tree and linear regression which is
free from constraints like linearity, etc. Regression tree (RT) gives piecewise linear relationship
between predictand or dependent variable and predictors or independent variables and this tree
can evaluate complex data sets with many interacting predictors. Regression tree has two types
of node that are a rounded node which represents splitting node and squared boxes are leaves
IJEECS ISSN: 2502-4752 
Comparison of Surface Roughness Prediction with Regression and Tree… (S. Surendar)
889
node of the tree which represent predictions of the target variable or predictand by using local
multiple linear regression (MLR) method. A prediction using regression tree can be attained by
dropping the test data set the case down the tree which following the correct nodes according to
the output of the test data sets on the input variables. The corresponding prediction of numerical
values has been reached the squared node or leaf node.
5. MP5 Tree
M5P tree is similar to a regression tree and has numerical values at its leaf node. An
M5P tree is one of the numeric prediction algorithms in machine learning and the linear
regression model is stored in the leaf node that predicts the numerical value. To determine the
attribute is the best split into the training portion of data which reach a node at the equally split
node. To measure of the error at that node using the standard deviation (SD) and calculating
the expected reduction in error of the attribute at that node were tested. To reduce the error at
that node where split equally. R=SD (Tr)-∑ x SD (Tri) where R is standard deviation
reduction and Tri is trained data set where i=1, 2, 3,.., n are spitting rounded node based on the
result. The linear regression models continuous predict the numerical attributes at the leaf node
of the M5P model tree.
6. Principle Component Analysis (PCA)
PCA is a feature reduction algorithm that reduces the no. of features from the training
data set (for example, from 8 to 2) to provide higher efficiency. M. Elangovan et al. explained
that root mean square error value was lowered by dimensional reduction when PCA was
used [4].
7. Experimental Setup
The experimental setup constitutes a lathe machine (Kirloskar Turnmaster-40), a
National instrument (NI) make data acquisition device -DAQ 9234, a piezoelectric accelerometer
(PCB PIEZOTRONICS), and a computer to store digital signals setup shown in Figure 1. The
experiments were conducted by varying the cutting parameters of boring operation and the flank
wear of the cutting insert. The input cutting parameters are spindle speed (280 rpm, 400 rpm
and 630 rpm), feed rate (0.05 mm/rev, 0.071, mm/rev and 0.09 mm/rev) and depth of the cut
(0.25 mm, 0.375 mm, 0.50 mm) along with flank wear (good tool, 0.2 mm, 0.4 mm). As per ISO
standards when the flank wear of the cutting tool is greater than 0.6 mm, it is considered as
failed [3]. A total of 81 experiments were conducted using a full factorial combination of spindle
speed, feed rate, depth of the cut and flank wear. After machining each work-piece was
measured for its surface roughness using HANDYSURF E-35A/B instrument.
Figure1. Experimental setup
7.1. Tool Wear Measurement
 ISSN: 2502-4752
IJEECS Vol. 7, No. 3, September 2017 : 887 – 892
890
In order to get tool tips with different flank wear, the optical measuring instrument was
used to segregate used carbide cutting tool inserts (CCMT090408) based on their flank wear
but with the same make and grade.
7.2. Experimental procedure and data acquisition
The experiment procedure consisted of mounting a new uncoated carbide tool tip
(CCMT0900408) on a boring bar clamped on the tool post. The piezoelectric accelerometer was
fixed on the boring bar using the adhesive mounting technique as shown in the Figure 1. The
accelerometer was connected to NI DAQ 9234. The signals were recorded using LABVIEW
software and a DAQ unit. The sampling frequency of 51 kHz was set for acquiring the signal. A
hollow workpiece of material EN8 and inner diameter as 25 mm and a wall thickness of 15mm
was held on a self-centering three jaw chuck. The oxidized layer on the inner wall was removed
by giving a small depth of cut and during this process, no signal was recorded. Data acquisition
unit (NI DAQ 9234) was switched on and the signals recorded after leaving first few seconds for
the signal to get stabilized. Every signal was recorded for 20 seconds using LAB VIEW software
and statistical features were extracted from the time domain signals.
8. Results and Discussion
Multiple linear regression (MLR), regression tree (RT) and model tree (M5P) algorithms
were used to predict the surface roughness (Ra) of the inner wall of the bored hollow shaft using
an uncoated carbide cutting insert. The results are discussed in four states as shown in Table 1.
The mean absolute error, the root mean squared error (RMSE) and computational time (CT) of
the multiple regression, regression tree and model tree results are compared and shown in
Table 2. The measured Ra and predicted Ra in Y-axis against the sample number of rows in X-
axis were plotted for the case I of RT to show the conformance of predicted value over the
measured value as shown in Fgure 2 and Figure 3. The measured Ra and predicted Ra in Y-
axis against the sample number of rows in X-axis were plotted for the case I of MLR and M5P
tree (first 50 rows) and shown in Figure 4 and Figure 5.
Figure 2. Regression tree
IJEECS ISSN: 2502-4752 
Comparison of Surface Roughness Prediction with Regression and Tree… (S. Surendar)
891
Figure 3. Regression Tree
Figure 4. MLR
Figure 5. MP5 tree
Table 1. Dependent and Independent Variables
Dependent variable Independent variables
Case I Surface roughness (Ra) Spindle speed, feed rate, depth of cut, flank wear and mean
Case II Surface roughness (Ra)
Spindle speed, feed rate, depth of cut, flank wear, mean, standard deviation,
kurtosis and skewness
Case III Surface roughness (Ra)
Spindle speed, feed rate, depth of cut, flank wear, mean, RMS, standard
deviation, variance, kurtosis, median, mode and skewness
Case IV Surface roughness (Ra) Spindle speed, feed rate, depth of cut, flank wear, RMS and variance
Table 2. Showing S and RMSE Values When Using MLR, RT and M5P Algorithms
Algorithms Mean Absolute Error (S) Root Mean Squared Error (RMSE)
Computation
Time (second)
Case I
MLR 1.053 1.39 1.2
RT 0.02 0.191 1.03
M5P 0.401 0.4088 2.05
Case II
MLR 1.056 1.391 1.61
RT 0.059 0.392 1.36
M5P 0.5596 0.5969 3.3
Case III
MLR 1.05 1.423 2.13
RT 0.064 0.404 2.41
M5P 0.4132 0.6232 3.95
Case IV
MLR 1.045 1.381 0.633
RT 0.007 0.085 0.56
M5P 0.386 0.525 1.8
 ISSN: 2502-4752
IJEECS Vol. 7, No. 3, September 2017 : 887 – 892
892
The table 2 show that case IV (i.e RT) has the lowest RMSE value of 0.085 than other
cases. In case III of RT have the RMSE value of 0.404 when the entire statistical features were
included, however the computational time is higher. When the statistical features are reduced
from 8 to 2 by PCA, the RT becomes more approximated in case IV. Convincingly, case IV has
a lower computational time than the case I, II and III of RT and also has a low ‘S’ value.
9. Conclusion and Potential for Future Work
Statistical features that were extracted from time domain signals were regressed using
MLR, RT and M5P algorithms. Regression tree was found to be better algorithm among the
three algorithms that were taken for study. The results show that RSME value obtained by RT is
not only low but also has low computational time as shown table 2. Machine Learning approach
was used to enhance the reliability and to reduce the RMSE and computational time. This study
proves the possibility of usage of Machine Learning algorithms for prediction of surface
roughness by simple and costs effective method. The study can be enhanced by using a
different type of signals like image, sound etc., and by applying other algorithms. There is a
good potential for future work in this direction as different feature reduction methods may be
attempted combined with different algorithms and choosing the best feature- algorithm pair. This
study will also be a step towards making machine tools more intelligent which are capable of
expressing the quality of surface roughness of the workpiece as and when they are being
machined.
References
[1] M Elangovan, KI Ramachandran, V Sugumaran. Studies on Bayes Classifier for Condition Monitoring
of Single Point Carbide Tipped Tool Based on Statistical and HISTOGRAM FEATURES. Expert Syst.
Appl. 2010; 37(3): 2059–2065.
[2] F Kuster, PE Gygax. Cutting Dynamics and Stability of Boring Bars. CIRP Ann.-Manuf. Technol.,
1990; 39(1): 361–366.
[3] K Venkata Rao, BSN Murthy, N Mohan Rao. Prediction of Cutting Tool Wear, Surface Roughness and
Vibration of Work Piece in Boring of AISI 316 Steel with Artificial Neural Network. Meas. J. Int. Meas.
Confed. 2014; 51(1): 63–70.
[4] M Elangovan, NR Sakthivel, S Saravanamurugan, BB Nair, V Sugumaran. Machine Learning
Approach to the Prediction of Surface Roughness Using Statistical Features of Vibration Signal
Acquired in Turning. Procedia Comput. Sci. 2015; 50: 282–288.
[5] SC Lin, MF Chang. A Study on the Effects of Vibrations on the Surface Finish Using a Surface
Topography Simulation Model for Turning. Int. J. Mach. Tools Manuf. 1998; 38: 763–782.
[6] S-Y Ho, K-C Lee, S-S Chen, S-J Ho. Accurate Modeling and Prediction of Surface Roughness by
Computer Vision in Turning Operations Using an Adaptive Neuro-fuzzy Inference System. Int. J.
Mach. Tools Manuf. 2002; 42: 1441–1446.
[7] WS Lin, BY Lee, CL Wu. Modeling the Surface Roughness and Cutting Force for Turning. Journal of
Materials Processing Technology. 2001; 108(April 1999): 286–293.
[8] M Abdar, SRN Kalhori, T Sutikno, I Much, I Subroto, G Arji. Comparing Performance of Data Mining
Algorithms in Prediction Heart Diseases. International Journal of Public Health Science (IJPHS). 2015;
5(6): 1569–1577. [Online]. Available: http://iaesjournal.com/online/index.php/IJPHS/article/view/1380
[9] H Waguih. A Data Mining Approach for the Detection of Denial of Service Attack. IAES International
Journal of Artificial Intelligence (IJAI). 2013; 2(2): 99-106. [Online].
Available:http://iaesjournal.com/online/index.php/IJAI/article/view/1937
[10] A Etemad-Shahidi, J Mahjoobi. Comparison between M5՜ Model Tree and Neural Networks for
Prediction of Significant Wave Height in Lake Superior. Ocean Eng. 2009; 36(15–16): 1175–1181.
[11] CJ Poor, JL Ullman. Using Regression Tree Analysis to Improve Predictions of Low-flow Nitrate and
Chloride in Willamette River Basin Watersheds. Environ. Manage. 2010; 46(5): 771–780.
[12] AM Handhal. Prediction of Reservoir Permeability from Porosity Measurements for the Upper
Sandstone Member of Zubair Formation in Super-Giant South Rumila oil field, Southern Iraq, Using
M5P Decision Tress and Adaptive Neuro-fuzzy Inference System (ANFIS): a Comparat. Model. Earth
Syst. Environ. 2016; 2(3): 111.

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32 8950 surendar s comparison of surface roughness (edit ari)new

  • 1. Indonesian Journal of Electrical Engineering and Computer Science Vol. 7, No. 3, September 2017, pp. 887 ~ 892 DOI: 10.11591/ijeecs.v7.i3.pp887-892  887 Received May 10, 2017; Revised July 25, 2017; Accepted August 8, 2017 Comparison of Surface Roughness Prediction with Regression and Tree Based Regressions during Boring Operation S. Surendar, M. Elangovan* Department of Mechanical Engineering, Amrita School of Engineering, Coimbatore, Amrita Vishwa Vidyapeetham, Amrita University, India *Corresponding author, e-mail: m_elangovan@cb.amrita.edu Abstract Modern manufacturing methods permit the study and prediction of surface roughness since the acquisition of signals and its processing is made instantaneously. With the availability of better computing facilities and newer algorithms in the machine learning domain, online surface roughness prediction will lead to the manufacture of intelligent machines that alert the operator when the process crosses the specified range of roughness. Prediction of surface roughness by multiple linear regression, regression tree and M5P tree methods using multivariable predictors and a single response dependent variable Ra (surface roughness) is attempted. Vibration signal from the boring operation has been acquired for the study that predicts the surface roughness on the inner face of the workpiece. A machine learning approach was used to extract the statistical features and analyzed by four different cases to achieve higher predictability, higher accuracy, low computing effort and reduction of the root mean square error. One case among them was carried out upon feature reduction using Principle Component Analysis (PCA) to examine the effect of feature reduction. Keywords: Multiple linear regression, Regression Tree, M5P Tree, KNIME Analytics Platform, feature reduction Copyright © 2017 Institute of Advanced Engineering and Science. All rights reserved. 1. Introduction Tool condition monitoring (TCM) and digital signal processing are prominences in manufacturing that prevent damages to workpieces when a faulty condition is about to occur [1]. Prediction of surface roughness during the turning process has always attracted the researchers. This study becomes more relevant in today’s context where customer expectations on quality parts within the delivery period are high. Unexpected breakdown or failure of cutting tools increases the downtime, loss of production and maintenance costs. This has triggered industrial persons and academic researchers to focus their attention on such studies using the new techniques and new algorithms available in this field. Tool condition monitoring and diagnosis involve the acquisition of signals, processing, and analysis of data related to tool wear and surface roughness under experimental conditions and interpreted to suit real applications. Feed rate, depth of cut and speed influence the surface roughness of the inner wall of the work piece. In addition, the conditions of the tool, rigidity of the machine, work material also play a role. A product may require a specified surface roughness as designed by designer either for functional or any other reasonable requirement. These studies have been made to correlate the surface roughness with the machining parameters along with the condition of the tool. The vibration signal acts as an indicator of the surface roughness. Hence, keeping all the other parameter constant, a study can be carried out at various tool conditions (flank wear) and cutting conditions and establish experimentally a relation between vibration (during machining) and surface roughness (Ra). The overhang of the boring bar contributes to chatter and imperfections in the surface finish. F. Kuster and P. E. Gygax explained the importance of keeping the boring bar L/D ratio below 6 for better cutting conditions, low vibrations and better finish [2]. K. Venkata Rao et al. had acquired vibration signal using laser topology on the work- piece and used ANN (Artificial Neural Network) for surface roughness prediction [3]. M. Elangovan et al. also used vibration signal captured using accelerometer but performed feature
  • 2.  ISSN: 2502-4752 IJEECS Vol. 7, No. 3, September 2017 : 887 – 892 888 reduction using principle component analysis and later applied multiple linear regression method for prediction of surface roughness [4]. S. C. Lin and M. F. Chang confirmed that surface roughness strongly correlates with cutting tool vibration [5]. Shinn-Ying Ho et al. used the image of the work piece to predict the surface roughness by using the gray scale [6]. Lin et al. used the abductive network and regression analysis methods for prediction of cutting force and surface roughness during machining [7]. Machine learning concept introduced in different areas like medical field for predicting the diseases, power distribution, condition monitoring etc. [8-9]. For instance, A. Etemad-Shahidi and J. Mahjoobi used network tree and M5 model tree for prediction of wave height in the lake and stated that M5 model tree results were more accurate than artificial neural networks result [10]. C. J. Poor and J. L. Ullman inferred that regression tree (RT) has higher predictability than multiple linear regression (MLP) [11]. A.M. Handhal showed that both adaptive neuro-fuzzy inference system (ANFIS) and M5 model tree have similar results but ANFIS has a more complex structure than M5 model tree [12]. Among the various regression methods, a study was drawn out to find the one that has the least root mean squared error (RMSE) value and the lowest computational time. The study proposes, prediction of surface roughness during a boring operation by using multiple linear regression (MLR), regression tree and M5P tree then followed by extracting the statistical features from the vibration signal and finally results are compared by analyzed in four cases as follows: Case I: the arithmetic mean (statistical features) of the vibration signal Case II: First four moments of the statistical features Case III: Statistical features of the vibration signal Case IV: feature reduction by principle components analysis (PCA) 2. Methodology In order to evolve a prediction model, surface roughness (Ra) values were recorded for every experiment that was conducted by varying the cutting parameters and flank wear of the cutting tool during a boring operation. Simultaneously, the vibration signals were acquired using a DAQ unit. For every variation of the parameters, surface roughness (Ra) value was measured using a stylus probe type (HandySurf) surface measurement instrument. A cutoff length of 2.5 mm and measuring the length of 12.5 mm was used and the average Ra value is recorded. A prediction model using M5P tree, multiple linear regression and regression tree was carried out using KNIME Analytics Platform. The data was manipulated using 10-fold cross validation. 3. Multiple Linear Regression If two or more independent variables in a linear regression analysis have one dependent variable is called multiple linear regression (MLR). Multiple linear regression is one of the easiest as well as an excellent method for the prediction of numerical values and it has been widely used technique for statistical application. MLR model develops a relationship in the straight line (linear) form that best approximates of the all the single data points. The basic regression model is of the form Y=x0+g1x1+g2x2 + ….. +gnxn where, Y is the predictand or dependent variable and x1, x2,…, xn are the independent variables or predictors that are related to Y. x0 is the value of Y when all the predictor variables are equal to zero. g1, g2,…, gn are the regression coefficients of the predictor variable that are calculated from the training data set. Estimate the mean square error and root mean squared error using statistical software. Y 2 = ∑ ( ) where P is regression coefficient, N-P is degree of freedom and is measured surface roughness (Ra) value. 4. Regression Tree A regression tree is a combination of the decision tree and linear regression which is free from constraints like linearity, etc. Regression tree (RT) gives piecewise linear relationship between predictand or dependent variable and predictors or independent variables and this tree can evaluate complex data sets with many interacting predictors. Regression tree has two types of node that are a rounded node which represents splitting node and squared boxes are leaves
  • 3. IJEECS ISSN: 2502-4752  Comparison of Surface Roughness Prediction with Regression and Tree… (S. Surendar) 889 node of the tree which represent predictions of the target variable or predictand by using local multiple linear regression (MLR) method. A prediction using regression tree can be attained by dropping the test data set the case down the tree which following the correct nodes according to the output of the test data sets on the input variables. The corresponding prediction of numerical values has been reached the squared node or leaf node. 5. MP5 Tree M5P tree is similar to a regression tree and has numerical values at its leaf node. An M5P tree is one of the numeric prediction algorithms in machine learning and the linear regression model is stored in the leaf node that predicts the numerical value. To determine the attribute is the best split into the training portion of data which reach a node at the equally split node. To measure of the error at that node using the standard deviation (SD) and calculating the expected reduction in error of the attribute at that node were tested. To reduce the error at that node where split equally. R=SD (Tr)-∑ x SD (Tri) where R is standard deviation reduction and Tri is trained data set where i=1, 2, 3,.., n are spitting rounded node based on the result. The linear regression models continuous predict the numerical attributes at the leaf node of the M5P model tree. 6. Principle Component Analysis (PCA) PCA is a feature reduction algorithm that reduces the no. of features from the training data set (for example, from 8 to 2) to provide higher efficiency. M. Elangovan et al. explained that root mean square error value was lowered by dimensional reduction when PCA was used [4]. 7. Experimental Setup The experimental setup constitutes a lathe machine (Kirloskar Turnmaster-40), a National instrument (NI) make data acquisition device -DAQ 9234, a piezoelectric accelerometer (PCB PIEZOTRONICS), and a computer to store digital signals setup shown in Figure 1. The experiments were conducted by varying the cutting parameters of boring operation and the flank wear of the cutting insert. The input cutting parameters are spindle speed (280 rpm, 400 rpm and 630 rpm), feed rate (0.05 mm/rev, 0.071, mm/rev and 0.09 mm/rev) and depth of the cut (0.25 mm, 0.375 mm, 0.50 mm) along with flank wear (good tool, 0.2 mm, 0.4 mm). As per ISO standards when the flank wear of the cutting tool is greater than 0.6 mm, it is considered as failed [3]. A total of 81 experiments were conducted using a full factorial combination of spindle speed, feed rate, depth of the cut and flank wear. After machining each work-piece was measured for its surface roughness using HANDYSURF E-35A/B instrument. Figure1. Experimental setup 7.1. Tool Wear Measurement
  • 4.  ISSN: 2502-4752 IJEECS Vol. 7, No. 3, September 2017 : 887 – 892 890 In order to get tool tips with different flank wear, the optical measuring instrument was used to segregate used carbide cutting tool inserts (CCMT090408) based on their flank wear but with the same make and grade. 7.2. Experimental procedure and data acquisition The experiment procedure consisted of mounting a new uncoated carbide tool tip (CCMT0900408) on a boring bar clamped on the tool post. The piezoelectric accelerometer was fixed on the boring bar using the adhesive mounting technique as shown in the Figure 1. The accelerometer was connected to NI DAQ 9234. The signals were recorded using LABVIEW software and a DAQ unit. The sampling frequency of 51 kHz was set for acquiring the signal. A hollow workpiece of material EN8 and inner diameter as 25 mm and a wall thickness of 15mm was held on a self-centering three jaw chuck. The oxidized layer on the inner wall was removed by giving a small depth of cut and during this process, no signal was recorded. Data acquisition unit (NI DAQ 9234) was switched on and the signals recorded after leaving first few seconds for the signal to get stabilized. Every signal was recorded for 20 seconds using LAB VIEW software and statistical features were extracted from the time domain signals. 8. Results and Discussion Multiple linear regression (MLR), regression tree (RT) and model tree (M5P) algorithms were used to predict the surface roughness (Ra) of the inner wall of the bored hollow shaft using an uncoated carbide cutting insert. The results are discussed in four states as shown in Table 1. The mean absolute error, the root mean squared error (RMSE) and computational time (CT) of the multiple regression, regression tree and model tree results are compared and shown in Table 2. The measured Ra and predicted Ra in Y-axis against the sample number of rows in X- axis were plotted for the case I of RT to show the conformance of predicted value over the measured value as shown in Fgure 2 and Figure 3. The measured Ra and predicted Ra in Y- axis against the sample number of rows in X-axis were plotted for the case I of MLR and M5P tree (first 50 rows) and shown in Figure 4 and Figure 5. Figure 2. Regression tree
  • 5. IJEECS ISSN: 2502-4752  Comparison of Surface Roughness Prediction with Regression and Tree… (S. Surendar) 891 Figure 3. Regression Tree Figure 4. MLR Figure 5. MP5 tree Table 1. Dependent and Independent Variables Dependent variable Independent variables Case I Surface roughness (Ra) Spindle speed, feed rate, depth of cut, flank wear and mean Case II Surface roughness (Ra) Spindle speed, feed rate, depth of cut, flank wear, mean, standard deviation, kurtosis and skewness Case III Surface roughness (Ra) Spindle speed, feed rate, depth of cut, flank wear, mean, RMS, standard deviation, variance, kurtosis, median, mode and skewness Case IV Surface roughness (Ra) Spindle speed, feed rate, depth of cut, flank wear, RMS and variance Table 2. Showing S and RMSE Values When Using MLR, RT and M5P Algorithms Algorithms Mean Absolute Error (S) Root Mean Squared Error (RMSE) Computation Time (second) Case I MLR 1.053 1.39 1.2 RT 0.02 0.191 1.03 M5P 0.401 0.4088 2.05 Case II MLR 1.056 1.391 1.61 RT 0.059 0.392 1.36 M5P 0.5596 0.5969 3.3 Case III MLR 1.05 1.423 2.13 RT 0.064 0.404 2.41 M5P 0.4132 0.6232 3.95 Case IV MLR 1.045 1.381 0.633 RT 0.007 0.085 0.56 M5P 0.386 0.525 1.8
  • 6.  ISSN: 2502-4752 IJEECS Vol. 7, No. 3, September 2017 : 887 – 892 892 The table 2 show that case IV (i.e RT) has the lowest RMSE value of 0.085 than other cases. In case III of RT have the RMSE value of 0.404 when the entire statistical features were included, however the computational time is higher. When the statistical features are reduced from 8 to 2 by PCA, the RT becomes more approximated in case IV. Convincingly, case IV has a lower computational time than the case I, II and III of RT and also has a low ‘S’ value. 9. Conclusion and Potential for Future Work Statistical features that were extracted from time domain signals were regressed using MLR, RT and M5P algorithms. Regression tree was found to be better algorithm among the three algorithms that were taken for study. The results show that RSME value obtained by RT is not only low but also has low computational time as shown table 2. Machine Learning approach was used to enhance the reliability and to reduce the RMSE and computational time. This study proves the possibility of usage of Machine Learning algorithms for prediction of surface roughness by simple and costs effective method. The study can be enhanced by using a different type of signals like image, sound etc., and by applying other algorithms. There is a good potential for future work in this direction as different feature reduction methods may be attempted combined with different algorithms and choosing the best feature- algorithm pair. This study will also be a step towards making machine tools more intelligent which are capable of expressing the quality of surface roughness of the workpiece as and when they are being machined. References [1] M Elangovan, KI Ramachandran, V Sugumaran. Studies on Bayes Classifier for Condition Monitoring of Single Point Carbide Tipped Tool Based on Statistical and HISTOGRAM FEATURES. Expert Syst. Appl. 2010; 37(3): 2059–2065. [2] F Kuster, PE Gygax. Cutting Dynamics and Stability of Boring Bars. CIRP Ann.-Manuf. Technol., 1990; 39(1): 361–366. [3] K Venkata Rao, BSN Murthy, N Mohan Rao. Prediction of Cutting Tool Wear, Surface Roughness and Vibration of Work Piece in Boring of AISI 316 Steel with Artificial Neural Network. Meas. J. Int. Meas. Confed. 2014; 51(1): 63–70. [4] M Elangovan, NR Sakthivel, S Saravanamurugan, BB Nair, V Sugumaran. Machine Learning Approach to the Prediction of Surface Roughness Using Statistical Features of Vibration Signal Acquired in Turning. Procedia Comput. Sci. 2015; 50: 282–288. [5] SC Lin, MF Chang. A Study on the Effects of Vibrations on the Surface Finish Using a Surface Topography Simulation Model for Turning. Int. J. Mach. Tools Manuf. 1998; 38: 763–782. [6] S-Y Ho, K-C Lee, S-S Chen, S-J Ho. Accurate Modeling and Prediction of Surface Roughness by Computer Vision in Turning Operations Using an Adaptive Neuro-fuzzy Inference System. Int. J. Mach. Tools Manuf. 2002; 42: 1441–1446. [7] WS Lin, BY Lee, CL Wu. Modeling the Surface Roughness and Cutting Force for Turning. Journal of Materials Processing Technology. 2001; 108(April 1999): 286–293. [8] M Abdar, SRN Kalhori, T Sutikno, I Much, I Subroto, G Arji. Comparing Performance of Data Mining Algorithms in Prediction Heart Diseases. International Journal of Public Health Science (IJPHS). 2015; 5(6): 1569–1577. [Online]. Available: http://iaesjournal.com/online/index.php/IJPHS/article/view/1380 [9] H Waguih. A Data Mining Approach for the Detection of Denial of Service Attack. IAES International Journal of Artificial Intelligence (IJAI). 2013; 2(2): 99-106. [Online]. Available:http://iaesjournal.com/online/index.php/IJAI/article/view/1937 [10] A Etemad-Shahidi, J Mahjoobi. Comparison between M5՜ Model Tree and Neural Networks for Prediction of Significant Wave Height in Lake Superior. Ocean Eng. 2009; 36(15–16): 1175–1181. [11] CJ Poor, JL Ullman. Using Regression Tree Analysis to Improve Predictions of Low-flow Nitrate and Chloride in Willamette River Basin Watersheds. Environ. Manage. 2010; 46(5): 771–780. [12] AM Handhal. Prediction of Reservoir Permeability from Porosity Measurements for the Upper Sandstone Member of Zubair Formation in Super-Giant South Rumila oil field, Southern Iraq, Using M5P Decision Tress and Adaptive Neuro-fuzzy Inference System (ANFIS): a Comparat. Model. Earth Syst. Environ. 2016; 2(3): 111.