General Regression Neural Network and Back Propagation Neural Network Modeling for Predicting Radial Overcut in EDM: A Comparative Study

This paper presents a comparative study between two
neural network models namely General Regression Neural Network
(GRNN) and Back Propagation Neural Network (BPNN) are used
to estimate radial overcut produced during Electrical Discharge
Machining (EDM). Four input parameters have been employed:
discharge current (Ip), pulse on time (Ton), Duty fraction (Tau) and
discharge voltage (V). Recently, artificial intelligence techniques, as
it is emerged as an effective tool that could be used to replace
time consuming procedures in various scientific or engineering
applications, explicitly in prediction and estimation of the complex
and nonlinear process. The both networks are trained, and the
prediction results are tested with the unseen validation set of the
experiment and analysed. It is found that the performance of both the
networks are found to be in good agreement with average percentage
error less than 11% and the correlation coefficient obtained for the
validation data set for GRNN and BPNN is more than 91%. However,
it is much faster to train GRNN network than a BPNN and GRNN is
often more accurate than BPNN. GRNN requires more memory space
to store the model, GRNN features fast learning that does not require
an iterative procedure, and highly parallel structure. GRNN networks
are slower than multilayer perceptron networks at classifying new
cases.





References:
[1] N. Mohd Abbas, D. G. Solomon, and M. Fuad Bahari, "A review
on current research trends in electrical discharge machining (EDM),”
International Journal of Machine Tools and Manufacture, vol. 47, pp.
1214–1228, Jun 2007.
[2] K. H. Ho and S. T. Newman, "State of the art electrical discharge
machinings (EDM),” International Journal of Machine Tools and
Manufacture, vol. 43, pp. 1287–1300, Oct 2003.
[3] M. K. Pradhan, "Multi-objective optimization of MRR, TWR and
radial overcut of EDMed AISI D2 tool steel using response surface
methodology, grey relational analysis and entropy measurement,” J.
Manuf. Science and Production, vol. 12, no. 1, pp. 51–63, 2012.
[4] E. Jameson, Electrical Discharge Machining. Society of Manufacturing
Engineers, 2001.
[5] S. Dhar, R. Purohit, N. Saini, A. Sharma, and G. H. Kumar,
"Mathematical modeling of electric - discharge machining of cast
Al-4Cu-6Si alloy-10 wt.% SiCP composites,” Journal of Materials
Processing Technology, vol. 194, pp. 24–29, Nov 2007.
[6] M. K. Pradhan and C. K. Biswas, "Neuro-fuzzy and neural
network-based prediction of various responses in electrical discharge
machining of AISI D2 steel,” International Journal of Advance
Manufacturing Technology, vol. 50, pp. 591–610, 2010.
[7] H. Chiang and J. Wang, "An analysis of overcut variation and coupling
effects of dimensional variable in EDM process,” International Journal
of Advanced Manufacturing Technology, vol. 55, pp. 935–943, 2011.
[8] J. Anitha, R. Das, and M. K. Pradhan, "Optimization of surface
roughness in EDM for D2 steel by RSM-GA approach,” Universal
Journal of Mechanical Engineering, vol. 2, no. 6, pp. 205–210, 2014.
[9] O. Belgassim and A. Abusaada, "Investigation of the influence of EDM
parameters on the overcut for AISI D3 tool steel,” Proceedings of the
Institution of Mechanical Engineers, Part B: Journal of Engineering
Manufacture, vol. 226, no. 2, pp. 365–370, 2012.
[10] A. P. Markopoulos, D. E. Manolakos, and N. M. Vaxevanidis, "Artificial
neural network models for the prediction of surface roughness in
electrical discharge machinings,” Journal of Intelligent Manufacturing,
vol. 19, no. 3, pp. 283–292, 2008.
[11] M. K. Pradhan, R. Das, and C. K. Biswas, "Comparisons of neural
network models on surface roughness in electrical discharge machining,”
Proceedings of the Institution of Mechanical Engineers, Part B: Journal
of Engineering Manufacture, vol. 223, no. 7, pp. 801–808, July 2009.
[12] D. Specht, "A general regression neural network,” Neural Networks,
IEEE Transactions, vol. 2, no. 6, pp. 568–576, 1991.
[13] S. Chartier, M. Boukadoum, and M. Amiri, "BAM learning of
nonlinearly separable tasks by using an asymmetrical output function
and reinforcement learning,” IEEE Transaction, Neural Networks,
vol. 20, no. 8, pp. 1281–1292, 2009.
[14] M. Jeswani, "Electrical discharge machinings in distilled water,” Wear,
vol. 72, no. 1, pp. 81–88, 1981.
[15] M. K. Pradhan, "Experimental investigation and modelling of surface
integrity, accuracy and productivity aspect in EDM of AISI D2 steel,”
Ph.D. dissertation, National Institute of Technology, Rourkela, 2010.