Investigation of Chaoticity of Vibrations in Machining

Year 2020, Volume: 1 Issue: 1, 18 - 24, 31.12.2020

Yusuf Hamida El Naser Durmuş Karayel Mustafa Çağrı Kutlu

Abstract

Vibrations that occur between the workpiece and the cutting tool during machining processes that are frequently used in the manufacturing sector, may pose serious problems in applications. These vibrations have a negative impact on the process in terms of quality, cost and efficiency. In this study, firstly the differential equations of these vibrations cited from the literature and are called as self-excited oscillations, have been reduced to the first order equations. Then, the chaoticity of the system were investigated using time series, phase portraits, Lyapunov exponents and bifurcation diagrams and the initial shear force intervals that the system exhibits chaos behavior were determined.

Keywords

Metal cutting, chaos, self-excited oscillations, bifurcation, stability analysis

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