Abstract
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.