http://www.iaeme.com/IJMET/index.asp 633 editor@iaeme.com
International Journal of Mechanical Engineering and Technology (IJMET)
Volume 9, Issue 1, January 2018, pp. 633–639, Article ID: IJMET_09_01_068
Available online at http://www.iaeme.com/IJMET/issues.asp?JType=IJMET&VType=9&IType=1
ISSN Print: 0976-6340 and ISSN Online: 0976-6359
© IAEME Publication Scopus Indexed
DETERMINATION OF EMPIRICAL
MATHEMATICAL MODEL FOR TOOL WEAR
CURVES BASED ON EXPERIMENTAL DATA
Fitore Abdullahu, Nexhat Qehaja*, Fatlume Zhujani
Faculty of Mechanical Engineering,
University of Prishtina, 1000 Prishtina, Kosovo
*Corresponding Author Email: nexhat.qehaja@uni-pr.edu
ABSTRACT
The use of mathematical models in the experimental analysis of behavior has
increased over the years, and they offer several advantages. Mathematical models
represent the highest degree of approximation, they are use certain mathematical
symbols to mark variables or original parameters. The ratio between independent
variables and parameters is presented through logical mathematical relationships.
Mathematical models offer the most opportunity to experiment, since they easily
change the size of any parameter.
Tool wear is often selected as the tool life criterion because it determines the
diametric accuracy of machining, its stability and reliability. Tool wear in cutting
process is produced by the contact and relative sliding between the cutting tool and
the workpiece, and between the cutting tool and the chip under the extreme conditions
of cutting area.
Therefore, identification and mathematical definition of tool wear curves is of
significant importance to keep under control the cutting process in general.
Key words: mathematical, cutting, turning, model, wear
Cite this Article: Fitore Abdullahu, Nexhat Qehaja, Fatlume Zhujani, Determination
of Empirical Mathematical Model for Tool Wear Curves Based on Experimental Data,
International Journal of Mechanical Engineering and Technology 9(1), 2018, pp.
633–639.
http://www.iaeme.com/IJMET/issues.asp?JType=IJMET&VType=9&IType=1
1. INTRODUCTION
The experimental mathematical theory presents a scientific discipline with which
scientific research facilities are realized through experiments. This is a fact that, experiments
are given an important place in science because, according to the data, 80 to 90% of
researchers are experimenting [1].
Until the twentieth century of the last century, the methodology of experimental scientific
research methodology was based mainly on intuition, experience and professional