Research Article

Investigation of Chaoticity of Vibrations in Machining

Volume: 1 Number: 1 December 31, 2020
  • Yusuf Hamida El Naser *
  • Durmuş Karayel
  • Mustafa Çağrı Kutlu

Investigation of Chaoticity of Vibrations in Machining

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

References

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  6. [6]Faassen RPH, Van de Wouw N, Oosterling JAJ, Nijmeijer H. Prediction of regenerative chatter by modelling and analysis of high-speed milling. Int J Mach Tools Manuf 2003;43(14):1437–1446.
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Details

Primary Language

English

Subjects

Artificial Intelligence

Journal Section

Research Article

Authors

Yusuf Hamida El Naser * This is me
Türkiye

Durmuş Karayel This is me
Türkiye

Mustafa Çağrı Kutlu This is me
Türkiye

Publication Date

December 31, 2020

Submission Date

October 14, 2020

Acceptance Date

November 12, 2020

Published in Issue

Year 2020 Volume: 1 Number: 1

APA
El Naser, Y. H., Karayel, D., & Kutlu, M. Ç. (2020). Investigation of Chaoticity of Vibrations in Machining. Journal of Smart Systems Research, 1(1), 18-24. https://izlik.org/JA87GK43YL
AMA
1.El Naser YH, Karayel D, Kutlu MÇ. Investigation of Chaoticity of Vibrations in Machining. JoinSSR. 2020;1(1):18-24. https://izlik.org/JA87GK43YL
Chicago
El Naser, Yusuf Hamida, Durmuş Karayel, and Mustafa Çağrı Kutlu. 2020. “Investigation of Chaoticity of Vibrations in Machining”. Journal of Smart Systems Research 1 (1): 18-24. https://izlik.org/JA87GK43YL.
EndNote
El Naser YH, Karayel D, Kutlu MÇ (December 1, 2020) Investigation of Chaoticity of Vibrations in Machining. Journal of Smart Systems Research 1 1 18–24.
IEEE
[1]Y. H. El Naser, D. Karayel, and M. Ç. Kutlu, “Investigation of Chaoticity of Vibrations in Machining”, JoinSSR, vol. 1, no. 1, pp. 18–24, Dec. 2020, [Online]. Available: https://izlik.org/JA87GK43YL
ISNAD
El Naser, Yusuf Hamida - Karayel, Durmuş - Kutlu, Mustafa Çağrı. “Investigation of Chaoticity of Vibrations in Machining”. Journal of Smart Systems Research 1/1 (December 1, 2020): 18-24. https://izlik.org/JA87GK43YL.
JAMA
1.El Naser YH, Karayel D, Kutlu MÇ. Investigation of Chaoticity of Vibrations in Machining. JoinSSR. 2020;1:18–24.
MLA
El Naser, Yusuf Hamida, et al. “Investigation of Chaoticity of Vibrations in Machining”. Journal of Smart Systems Research, vol. 1, no. 1, Dec. 2020, pp. 18-24, https://izlik.org/JA87GK43YL.
Vancouver
1.Yusuf Hamida El Naser, Durmuş Karayel, Mustafa Çağrı Kutlu. Investigation of Chaoticity of Vibrations in Machining. JoinSSR [Internet]. 2020 Dec. 1;1(1):18-24. Available from: https://izlik.org/JA87GK43YL