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APPLICATION OF THE MONTE CARLO METHOD FOR THE OPTIMIZATION OF MATHEMATICAL MODEL OF SURFACE ROUGHNESS

By
Sanel Gredelj ,
Sanel Gredelj
Contact Sanel Gredelj

Faculty of Technical Engineering, University of Bihać, Bihać, Bosnia and Herzegovina

Sanela Hrnjica
Sanela Hrnjica

Faculty of Technical Engineering, University of Bihać, Bihać, Bosnia and Herzegovina

Abstract

This paper shows optimization by using the Monte Carlo method, the mathematical model of roughness, or the mean arithmetic deviation of the profile. Optimization means finding the best of all possible solutions. According to the experiment plan, an experiment
was previously performed. Based on the results of the experiment and the plan matrix, the coefficients of the mathematical model were determined. An adequate and nonlinear mathematical model, suitable for optimization, gives the dependence of the mean arithmetic deviation of the profile from the number of main spindle revolutions, feed rate, tool diameter and cutting depth. The Monte Carlo method simulates action or proces by performing number of fictitious experiments using random numbers. The application of Monte Carlo method in optimization is not original. However, using MS Excel as a technique shown in this paper is original, reliable and simple. The disadvantage is imprecision. It is recommended to use Monte Carlo method as a control method in relation to some other method.

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Citation

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 

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