Yıl: 2021 Cilt: 8 Sayı: 1 Sayfa Aralığı: 109 - 122 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

Application of Differential Transformation Method for Nonlinear Cutting Tool Vibration

Öz:
This article aims to solve the mathematical model developed for machine tool vibrations byemploying Differential Transformation Method (DTM). Multi-step differential transformationmethod is used as it has been shown to have good accuracy in physical applications.Nondimensionalization (scaling) technique is used in order to fully understand the physical effectsof each varying parameter. Transformed function of delayed nonlinear velocity terms areexplained. MatLab® software is used for DTM solutions. The equation of motion is solved withthe DDE23 function in MatLab® software as well as with MatLab®/Simulink® software tocompare the results. The solution of the fundamental DTM which is obtained by using the constanttransformed function values which differ from other methods after a certain time period. However,the results obtained with the transformed functions for different values at each sampling time(Multi-Step DTM) give very close results to Simulink® and DDE23.
Anahtar Kelime: Vibration Delayed Differential Equation Chatter

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA DEMİR İ, Karahan M, Aktürk N (2021). Application of Differential Transformation Method for Nonlinear Cutting Tool Vibration. , 109 - 122.
Chicago DEMİR İBRAHİM,Karahan M M Fatih,Aktürk Nizami Application of Differential Transformation Method for Nonlinear Cutting Tool Vibration. (2021): 109 - 122.
MLA DEMİR İBRAHİM,Karahan M M Fatih,Aktürk Nizami Application of Differential Transformation Method for Nonlinear Cutting Tool Vibration. , 2021, ss.109 - 122.
AMA DEMİR İ,Karahan M,Aktürk N Application of Differential Transformation Method for Nonlinear Cutting Tool Vibration. . 2021; 109 - 122.
Vancouver DEMİR İ,Karahan M,Aktürk N Application of Differential Transformation Method for Nonlinear Cutting Tool Vibration. . 2021; 109 - 122.
IEEE DEMİR İ,Karahan M,Aktürk N "Application of Differential Transformation Method for Nonlinear Cutting Tool Vibration." , ss.109 - 122, 2021.
ISNAD DEMİR, İBRAHİM vd. "Application of Differential Transformation Method for Nonlinear Cutting Tool Vibration". (2021), 109-122.
APA DEMİR İ, Karahan M, Aktürk N (2021). Application of Differential Transformation Method for Nonlinear Cutting Tool Vibration. Gazi University Journal of Science Part A: Engineering and Innovation, 8(1), 109 - 122.
Chicago DEMİR İBRAHİM,Karahan M M Fatih,Aktürk Nizami Application of Differential Transformation Method for Nonlinear Cutting Tool Vibration. Gazi University Journal of Science Part A: Engineering and Innovation 8, no.1 (2021): 109 - 122.
MLA DEMİR İBRAHİM,Karahan M M Fatih,Aktürk Nizami Application of Differential Transformation Method for Nonlinear Cutting Tool Vibration. Gazi University Journal of Science Part A: Engineering and Innovation, vol.8, no.1, 2021, ss.109 - 122.
AMA DEMİR İ,Karahan M,Aktürk N Application of Differential Transformation Method for Nonlinear Cutting Tool Vibration. Gazi University Journal of Science Part A: Engineering and Innovation. 2021; 8(1): 109 - 122.
Vancouver DEMİR İ,Karahan M,Aktürk N Application of Differential Transformation Method for Nonlinear Cutting Tool Vibration. Gazi University Journal of Science Part A: Engineering and Innovation. 2021; 8(1): 109 - 122.
IEEE DEMİR İ,Karahan M,Aktürk N "Application of Differential Transformation Method for Nonlinear Cutting Tool Vibration." Gazi University Journal of Science Part A: Engineering and Innovation, 8, ss.109 - 122, 2021.
ISNAD DEMİR, İBRAHİM vd. "Application of Differential Transformation Method for Nonlinear Cutting Tool Vibration". Gazi University Journal of Science Part A: Engineering and Innovation 8/1 (2021), 109-122.