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 of the system's equations with a Nonlinear Integration Positive Position Feedback con-troller (NIPPF). A good correlation is achieved between the approximate solutions and the numer-ical 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. Nonlin-ear 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 investiga-tion, we draw the conclusion that the NIPPF control technique offers the optimal model control. Finally, the settings reduce the vibration's intensity.(c) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).

Automated summary

This paper analyzes and controls the nonlinear vibration of an ongoing spinning shaft. Investigations are made on major resonances and nonlinear modal interactions between the rotor and controller modes. The averaging procedure is analyzed to obtain 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 numerical simulations utilizing the fourth-order Runge-Kutta method (RK4). The linearized stability approach is applied to the autonomous system for stability near fixed positions, and the steady-state stability and amplitude of the nonlinear systems are examined before and after control. Frequency response curves (FRCs) are evaluated at various values of controller and system parameters. MATLAB is used to compare analytical and numerical responses to ensure their comparability. The conclusion is drawn that the NIPPF control technique offers optimal model control, and the settings reduce the intensity of vibration.