Optimal control of nonlinear vibration resonances of single-walled nanotube beams

Liu, Canchang; Ren, Chuanbo; Liu, Lu; Xu, Yingzi

doi:10.1016/s0894-9166(15)60009-x

Cited by 5 publications

(2 citation statements)

References 27 publications

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“…Febbo and Ji [8] adopted the use of Lagrange multipliers in order to find the critical forcing amplitude where a nonlinear oscillator exhibited hysteresis and jump phenomena in the primary resonance case. Liu et al [16] introduced a feedback control with time-delay for reducing the primary resonant vibrations of a carbon nanotube excited by a Lorentz force and a longitudinal magnetic field. Omidi and Mahmoodi [24] have combined the algorithms of positive position feedback (PPF) controller and IRC in order to overcome some issues that were raised in the PPF controller.…”

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%

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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“…The primary resonance of a single-walled carbon nano-tube (SWCNT) is mitigated with optimal delayed feedback controllers. The nonlinear governing equations of the SWCNT are derived, which is rested on elastic medium and controlled by a Lorentz force [19].…”

Section: Introductionmentioning

confidence: 99%

Optimal Control of Nonlinear Resonances for Vehicle Suspension Using Linear and Nonlinear Control

Liu

Ren

Liu

et al. 2013

Journal of Low Frequency Noise, Vibration and Active Control

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The dynamic equations of the strongly nonlinear vibration of vehicle suspension with linear and nonlinear feedback controllers are developed. The strongly nonlinear vibration is transformed into the weakly nonlinear vibration by the nonlinear controller. The forced vibration of vehicle suspension is studied by the method of multiple scales. The regions of feedback gains obtained from the stability conditions of eigenvalue equation quantitatively are presented. Taking attenuation ratio and energy function as the objective functions, the control parameters of velocity and displacement are calculated by the minimum optimal method. Illustrative examples are given to show the effectiveness of vibration control.

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Fractional order PID based optimal control for fractionally damped nonlocal nanobeam via genetic algorithm

Jha

Dasgupta

2019

Microsyst Technol

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Optimal control of nonlinear vibration resonances of single-walled nanotube beams

Cited by 5 publications

References 27 publications

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

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

Optimal Control of Nonlinear Resonances for Vehicle Suspension Using Linear and Nonlinear Control

Fractional order PID based optimal control for fractionally damped nonlocal nanobeam via genetic algorithm

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