Browsing by Author "El-Sayed, A. T"

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    Active Control of a Rectangular Thin Plate Via Negative Acceleration Feedback
    (ASME, 2016) Bauomy, H. S; El-Sayed, A. T
    In this paper, the dynamic oscillation of a rectangular thin plate under parametric and external excitations is investigated and controlled. The motion of a rectangular thin plate is modeled by coupled second-order nonlinear ordinary differential equations. The formulas of the thin plate are derived from the von Karman equation and Galerkin's method. A control law based on negative acceleration feedback is proposed for the system. The multiple time scale perturbation technique is applied to solve the nonlinear differential equations and obtain approximate solutions up to the second-order approximations. One of the worst resonance case of the system is the simultaneous primary resonances, where Omega(1) congruent to omega(1) and Omega(2) congruent to omega(2). From the frequency response equations, the stability of the system is investigated according to the Routh-Hurwitz criterion. The effects of the different parameters are studied numerically. It is also shown that the system parameters have different effects on the nonlinear response of the thin plate. The simulation results are achieved using MATLAB 7.0 software. A comparison is made with the available published work.
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    The effectiveness of nonlinear integral positive position feedback control on a duffing oscillator system based on primary and super harmonic resonances
    (JVE INT LTD, 2019-02) Salman, H. F; Abdel-Wahab, A. M; El-Sayed, A. T; Amer, Y. A
    In this paper, we applied three different control methods; Positive Position Feedback (PPF), Integral Resonance Control (IRC) and Nonlinear Integrated Positive Position Feedback (NIPPF) added to a Duffing oscillator system subjected to harmonic force. An analytic solution is introduced using the multiple scales perturbation technique (MSPT) to solve the nonlinear differential equations, which simulate the system with NIPPF controller. Before and after control at the primary and superharmonic resonances, the nonlinear systems' steady-state amplitude and stability are studied and examined. The influences of various parameters of the system after being connected to NIPPF are illustrated. Optimum working conditions for the NIPPF controller are obtained at internal resonance ratio 1:1. A Comparison is also made to validate the closeness between the numerical solution and the analytical perturbative one at time-history and frequency response curves (FRC). Finally, a comparison with the available results in the literature is presented. From this comparison, we find that the best control to the system is via the NIPPF controller.