Optimal time delayed control of the combination resonances of viscoelastic graphene sheets under dual-frequency excitation

Liu, Chunxia; Yan, Yan; Wang, Wenquan; Wang, Daohang

doi:10.1016/j.chaos.2022.112856

Cited by 3 publications

(1 citation statement)

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“…They applied the well-known nonlinear saturation controller and a new cubic-position-negativevelocity feedback controller for the mentioned resonance cases. Liu et al [20] combined a graphene sheet of a single layer resting on a visco-Pasternak foundation excited by a dualfrequency force where a time-delayed proportional-derivative controller was applied for the first time. Saeed et al [28] utilized the IRC technique for reducing the lateral (horizontal and vertical) oscillations of the rotor active magnetic bearings system for the first time.…”

Section: Introductionmentioning

confidence: 99%

Integral Resonant Controller for Suppressing Car’s Oscillations and Eliminating its Inherent Jump Phenomenon

Kandil,

Hamed

2023

Eur. J. Pure Appl. Math.

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This work deals with modeling and controlling the oscillations of a horizontally-supported car under the effect of a nonlinear spring, a damper, and a harmonic excitation external force. The proposed controller is the integral resonant controller (IRC) which is a first order oscillator coupled the car via a linear variable differential transformer (LVDT) and a servo-controlled linear actuator(SCLA). The multiple scales perturbation method is used to obtain an approximate solution and stability analyses are carried out. Based on the stability analysis, the optimum values of the controller parameters are recommended in this work for a better control operation. Several response curves are plotted for clarifying the concept of the proposed integral resonant control algorithm.A numerical simulation of the car’s motion is achieved by numerically integrating the model equations with the 4th order Rung-Kutta algorithm. The applied controller can treat the severe jumps in the oscillation amplitude where it is suppressed at different conditions of forward and backward sweeping of the amplitude and frequency of the external excitation force.

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Section: Introductionmentioning

confidence: 99%