Safety of a continuous spinning Shaft’s structure from nonlinear vibration with NIPPF

An ongoing spinning shaft’s nonlinear vibration is the subject of this paper's analysis and control. Investigations were conducted on the major resonances as well as the nonlinear modal interactions between the rotor and controller modes. The averaging procedure be analyzed to get the solution...

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Main Authors: H.S. Bauomy, A.T. EL-Sayed, F.T. El-Bahrawy, A.M. Salem
Format: Article
Language:English
Published: Elsevier 2023-03-01
Series:Alexandria Engineering Journal
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016822008341
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author H.S. Bauomy
A.T. EL-Sayed
F.T. El-Bahrawy
A.M. Salem
author_facet H.S. Bauomy
A.T. EL-Sayed
F.T. El-Bahrawy
A.M. Salem
author_sort H.S. Bauomy
collection DOAJ
description An ongoing spinning shaft’s nonlinear vibration is the subject of this paper's analysis and control. Investigations were conducted on the major resonances as well as the nonlinear modal interactions between the rotor and controller modes. The averaging procedure be analyzed to get the solution of the system’s equations with a Nonlinear Integration Positive Position Feedback controller (NIPPF). A good correlation is achieved between the approximate solutions and the numerical simulations when utilizing the Runge-Kutta method 4th-order (RK4). The linearized stability approach is applied in the autonomous system to provide stability close to fixed positions. Nonlinear systems' steady-state stability and amplitude were examined, both before and after control. At various values for something like the controller and system parameters, frequency response curves (FRCs) were assessed. The MATLB program was used to compare the analytical and numerical responses at time-history and FRCs to ensure their comparability. After conducting this investigation, we draw the conclusion that the NIPPF control technique offers the optimal model control. Finally, the settings reduce the vibration's intensity.
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spelling doaj.art-9d588ec87032409ca2f29a42a73e1db52023-03-13T04:15:17ZengElsevierAlexandria Engineering Journal1110-01682023-03-0167193207Safety of a continuous spinning Shaft’s structure from nonlinear vibration with NIPPFH.S. Bauomy0A.T. EL-Sayed1F.T. El-Bahrawy2A.M. Salem3Department of Mathematics, College of Arts and Science in Wadi Addawasir, Prince Sattam Bin Abdulaziz University, P.O. Box 54, Wadi Addawasir 11991, Saudi Arabia; Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, 44519, Egypt; Corresponding author.Department of Basic Sciences, Modern Academy for Engineering and Technology, Maadi, EgyptDepartment of Basic Sciences, Modern Academy for Engineering and Technology, Maadi, EgyptDepartment of Basic Sciences, Modern Academy for Engineering and Technology, Maadi, EgyptAn ongoing spinning shaft’s nonlinear vibration is the subject of this paper's analysis and control. Investigations were conducted on the major resonances as well as the nonlinear modal interactions between the rotor and controller modes. The averaging procedure be analyzed to get the solution of the system’s equations with a Nonlinear Integration Positive Position Feedback controller (NIPPF). A good correlation is achieved between the approximate solutions and the numerical simulations when utilizing the Runge-Kutta method 4th-order (RK4). The linearized stability approach is applied in the autonomous system to provide stability close to fixed positions. Nonlinear systems' steady-state stability and amplitude were examined, both before and after control. At various values for something like the controller and system parameters, frequency response curves (FRCs) were assessed. The MATLB program was used to compare the analytical and numerical responses at time-history and FRCs to ensure their comparability. After conducting this investigation, we draw the conclusion that the NIPPF control technique offers the optimal model control. Finally, the settings reduce the vibration's intensity.http://www.sciencedirect.com/science/article/pii/S1110016822008341Vibration controlSpinning shaftFrequency response equationStabilityNIPPF controlAveraging perturbation analysis
spellingShingle H.S. Bauomy
A.T. EL-Sayed
F.T. El-Bahrawy
A.M. Salem
Safety of a continuous spinning Shaft’s structure from nonlinear vibration with NIPPF
Alexandria Engineering Journal
Vibration control
Spinning shaft
Frequency response equation
Stability
NIPPF control
Averaging perturbation analysis
title Safety of a continuous spinning Shaft’s structure from nonlinear vibration with NIPPF
title_full Safety of a continuous spinning Shaft’s structure from nonlinear vibration with NIPPF
title_fullStr Safety of a continuous spinning Shaft’s structure from nonlinear vibration with NIPPF
title_full_unstemmed Safety of a continuous spinning Shaft’s structure from nonlinear vibration with NIPPF
title_short Safety of a continuous spinning Shaft’s structure from nonlinear vibration with NIPPF
title_sort safety of a continuous spinning shaft s structure from nonlinear vibration with nippf
topic Vibration control
Spinning shaft
Frequency response equation
Stability
NIPPF control
Averaging perturbation analysis
url http://www.sciencedirect.com/science/article/pii/S1110016822008341
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