A rotating beam at varying speed mathematical model is studied. Multiple time scales method is applied to the nonlinear system of differential equations and investigated the system behavior approximate solution in the instance of resonance case. We studied the system in case of a...
Open access
Research Article10.9734/arjom/2021/v17i130268
In this paper, the vibration reduction of the harmonically excited nonlinear beam is introduced using positive position feedback controller (PPF). The multiple-scale perturbation techniques (MSPT) up is applied to second-order to obtain the analytic results. Numerical simulations...
Open access
Research Article10.9734/arjom/2019/v12i430094
In this paper, the active control and time delay control are applied on a nonlinear mechanical system subjected to external force to reduce the resulted vibration. The system is modeled by a unique nonlinear differential equation. The multiple scale perturbation technique (MSPT)...
Open access
Research Article10.9734/arjom/2019/v12i430091
In this article, We adjusted the equations by using non-linear saturation controller (NSC) to control the vibrations of vertical conveyor. The system described by a four-degree-of-freedom (4-DOF) including the cubic non-linear terms and external excitations. We applied the multip...
Open access
Research Article10.9734/ARJOM/2018/44590
In this work, we apply the Averaging Method to obtain the theoretical results. The Nonlinear Saturation Controller (NSC) is proposed to decrease the vacillations of the spring pendulum. We investigate the stability of the system nigh the resonance condition by applying the freque...
Open access
Research Article10.9734/ARJOM/2018/44589
In this paper, we will solve the Logistic and Riccati differential equations using VIM, shifted Chebyshev-spectral fourth kind methods and Hermite collocation method. Where we can from the numerical results we obtained to conclude that the solution using these three approaches co...
Open access
Research Article10.9734/ARJOM/2017/36942
In this paper we are interested in showing the approximate analytical solutions for systems of fractional differential equations and nonlinear biochemical reaction model by using Sumudu transform method. The fractional derivatives are described in the Caputo sense. The applicatio...
Open access
Research Article10.9734/ARJOM/2017/32665