Positive Position Feedback Controller for Nonlinear Beam Subject to Harmonically Excitation
Y. A. Amer, A. T. EL-Sayed, A. M. Abdel-Wahab, H. F. Salman
Asian Research Journal of Mathematics · pp. 1–19 · Published 12 Mar 2019
10.9734/arjom/2019/v12i430094Abstract
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 are used to compare between time-history and the analytical solution. The frequency response equation (FRE) is studied to illustrate the steady state solutions near the simultaneous resonances. The influences of the different parameters and the system behavior at resonance case are studied to show the optimum conditions of decreasing the vibration. A comparison between the numerical and analytical solutions is presented to appear the validity of the results.
Cited by 4
G. Moatimid, A. T. el-Sayed, H. Salman · Scientific Reports · 2023
Y. Amer, A. T. el-Sayed, E. Ahmed · International Journal of Dynamics and Control · 2021
L. Atepor · Sustainable Education and Development – Making Cities and Human Settlements Inclusive, Safe, Resilient, and Sustainable · 2022
Y. A. Amer, A. T. El-Sayed, M. A. EL-Sayed · 2023
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