Effects of time delay on an active vibration control of a forced and Self-excited nonlinear beam

Abdelwahab

et al. 2019

ARJOM

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.

“…Also, in Ref. [11] an active vibration control of a nonlinear beam with self and external excitations was studied by employing PPF controller. In addition, Ref.…”

Section: Introductionmentioning

confidence: 99%

Positive Position Feedback Controller for Nonlinear Beam Subject to Harmonically Excitation

Amer

Abdelwahab

et al. 2019

ARJOM

“…Multivariate the technique of multiple scales was applied to get an analytical solution and to explain the behavior of this model. In another research paper [4] loop delays have been taken into consideration, when PPF controller was applied. In that case, vibrations of self-excited and forced nonlinear beam could be reduced and approximate solution was studied after using MTSP technique.…”

Section: Introductionmentioning

confidence: 99%

Vibrations Control of the Harmonically Excited Nonlinear System via Positive Position Feedback Controller

Amer

Al-Azhar Bulletin of Science

Saleh

et al. 2019

In this paper, the vibration reducing of the harmonically excited nonlinear system is presented via applying positive position feedback controller (PPF). The analytical results are obtained by applying the multiple-scale perturbation techniques (MSPT) up to second-order approximations. The frequency response equation (FRE) is studied to test the behavior of the steady state solutions near the simultaneous resonances. The effects of the several parameters and the behavior of the system at resonance case are investigated to illustrate the optimum working conditions for the PPF controller. The stability analysis for the uncontrolled system is investigated by applying the phase portrait technique. Moreover, numerical simulation is used to compare between time-history and the analytical solution. The analytical and numerical solutions are compared to show the validity of the results. Finally, a comparison with the available results in the literature is presented.

“…To solve the system analytically, they used the multiple scales technique. The results show that suppression performance is mostly determined by the controller build.The effect of positive position feedback on a self-excited beam subjected to an external periodic force, as well as the effect of time-delay in the positive position feedback loop on a self-excited beam subjected to periodic forced stimulation at the resonant frequency, were explored by [17,18]. For rotating-beam vibration suppression, Warminski and Latalski [19] proposed a nonlinear saturation control technique.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Vibration-Damping Investigation of a Vertical Cantilever Beam Simulation Aircraft tail via NTDSC Procedure

Bauomy

2021

Preprint

A nonlinear time delay saturation controller (NTDSC) used to minimize the vibrations of a vertical cantilever beam simulated as an airplane tail and exposed to harmonic force. A modified form of saturation-based controllers is given to lessen system vibrations. The perturbation technique is used to generate an approximate solution to evaluate the nonlinear behavior of this model. Time histories of the primary system and the controller are shown to demonstrate the reaction with and without control. The time-history response, as well as the impacts of the parameters on the system and controller, were simulated numerically using the MATLAB program. The Routh-Hurwitz criterion was used to show the stability investigation at simultaneous resonance. The impact of controller parameters and time delays on system response curves are examined. Time-delays are explored in the control loop for their implications on controller performance and system stability. The impacts of time delay are also investigated in order to establish the operation's safe zone. Validation curves are provided to show how closely the perturbation and numerical solutions are related. A comparison is made with recently released papers.