Browsing by Author "Bauomy, H. S"

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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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    Using negative velocity feedback controller to reduce the vibration of a suspended cable
    (JVE INT LTD, 2016) Bauomy, H. S; El-Sayed, v; Metwaly, TMN
    The system of suspended cable with mixed excitation forces is controlled in this paper by using negative linear velocity feedback controller. The equations of motion of this system contain quadratic and cubic nonlinearities. The multiple scale perturbation technique is applied to determine the response of the nonlinear system near the simultaneous sub-harmonic and combined resonance case of this system. The stability of the obtained numerical solution is investigated using frequency response equations. The effect of different parameters on the vibrating system are investigated and reported.