Browsing by Author "Bauomy, H. S."

Now showing 1 - 4 of 4

Control of a two-degree-of-freedom system with combined excitations
(ELSEVIER, 2015) Bauomy, H. S.; El-Sayed, A. T.
In this paper, the chaotic dynamics of parametrically, externally and tuned excited suspended cable is studied with negative cubic velocity feedback. The equations of motion of this system are exhibited by two-degree-of-freedom system including quadratic and cubic nonlinearities. Using the multiple scale perturbation technique, the response of the nonlinear system near the simultaneous primary, sub-harmonic, combined and internal resonance case of this system is extracted up to the second order approximation. The stability of the obtained numerical solution is investigated using frequency response equations. The effect of different parameters on the vibrating system behavior are investigated and reported. The simulation results are achieved using MATLAB (R2012a) programs. (C) 2014 Politechnika Wroclawska. Published by Elsevier Urban & Partner Sp. z.o.o. All rights reserved.
Nonlinear analysis of vertical conveyor with positive position feedback (PPF) controllers
(SPRINGER, 2016) EL-Sayed, A. T.; Bauomy, H. S.
In this paper, the two positive position feedback controllers (PPF) are used to reduce the vertical vibration in the vertical conveyors. An investigation is presented of the response of a four-degree-of-freedom system (4-DOF) with cubic nonlinearities and external excitations at primary resonance in the presence of 1:1 internal resonance . Method of multiple scales is applied to the equations of the system to find approximate analytical solutions. Then, we derived the frequency response equation and the stability criteria for the system. Numerical solution show that the time histories of the main system and the PPF controllers to present the response with and without control. The frequency response curves for the system and the controllers are studied numerically. To discuss the validity of the results, we make comparison between the analytical and numerical solutions and also compared them with the available published work.
Vibration control of helicopter blade flapping via time-delay absorber
(SPRINGER, 2014) El-Sayed, A. T.; Bauomy, H. S.
In this study, the controller is used to suppress the vibration due to rotor the helicopter blade flapping motion. The objective of this paper is to investigate the effect of time-delay absorber on the vibrating system when subjected to multi-parametric excitation forces. The equations of motion are described by coupled nonlinear differential equations. The averaging method is applied to obtain the frequency response equations near simultaneous sub-harmonic and internal resonance. The stability of the obtained nonlinear solution is studied and solved numerically. Numerical simulations show the steady state response amplitude versus the detuning parameter and the effects of the parameters system and controller. Effectiveness of the absorber E-a is about 2.7x10(5) of the main system (X).
Vibration Suppression of Subharmonic Resonance Response Using a Nonlinear Vibration Absorber
(ASME, 2015) EL-Sayed, A. T.; Bauomy, H. S.
This paper is concerned with the vibration of a two degree-of-freedom (2DOF) nonlinear system subjected to multiparametric excitation forces. The vibrating motion of the system is described by the coupled differential equations having both quadratic and cubic terms. The aim of this work is to use a nonlinear absorber to control the vibration of the nonlinear system near the simultaneous subharmonic and internal resonances, where the vibrations are severe. Multiple scale perturbation technique (MSPT) is applied to obtain the averaged equations up to the second-order approximation. The steady-state response and their stability are studied numerically for the nonlinear system at the simultaneous subharmonic and internal resonances. Some recommendations regarding to the different system parameters are given following studying the effects of various parameters. Comparison with the available published work is made.