Nonlinear time delay saturation-based controller for suppression of nonlinear beam vibrations

Saeed, Nasser A.; El-Ganini, W. A.; Eissa, M.

doi:10.1016/j.apm.2013.04.010

Cited by 49 publications

(25 citation statements)

References 14 publications

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“…In recent years, the research that uses time delay as an active vibration control term has made great progress [25][26][27][28]. Saeed et al studied a controller based on nonlinear time-delay saturation to suppress the vibration of the nonlinear beam [29]. Alhazza et al studied the nonlinear free vibration of beams using the acceleration time-delay feedback control [30] and studied the nonlinear vibration of the cantilever beam controlled by nonlinear time-delay feedback under parameter excitation [31] and experimented active-multimode vibration of the cantilever beam under the time-delay control [32].…”

Section: E Problem Studied In This Papermentioning

confidence: 99%

The Study on Vibration Reduction of Nonlinear Time-Delay Dynamic Absorber under External Excitation

Yan

Ren

Zhou

et al. 2020

Mathematical Problems in Engineering

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e nonlinear time-delay dynamic absorber has a good control effect on the main system under harmonic excitation, but the control effect on the main system under complicated excitation is not obvious. In the previous study, they do not have an effective method to obtain the time-delay control parameters under different external excitations. Because of the above problems, this paper proposed an innovative method to obtain the control parameters of time-delay dynamic absorbers. For the vibration system including the nonlinear time-delay dynamic absorber, the transient time-integration method was used to solve the nonlinear delay dynamic differential equation of the system under the specific excitation. en, the quantitative relationship was established between the time-domain responses of the vibration system, the external excitation, and time-delay control parameters. e timedelay control parameters would be obtained when the time-domain response of the main system is minimized under specific excitation using an algorithm that continuously compares the objective function that is related to the time-domain response of the main system. is paper took the two-degree-of-freedom vibration system with a nonlinear time-delay dynamic absorber as the target system to simulate the time-domain response of the main system. e simulation results show that the time-delay control parameters calculated by the new method can obtain significant vibration reduction effects for both harmonic excitation and multiharmonic excitation. e suppression performance of the nonlinear time-delay dynamic absorber is significantly improved.

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Section: E Problem Studied In This Papermentioning

confidence: 99%

The Study on Vibration Reduction of Nonlinear Time-Delay Dynamic Absorber under External Excitation

Yan

Ren

Zhou

et al. 2020

Mathematical Problems in Engineering

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“…They concluded that the vibration of the main system can be reduced and the effectiveness of the absorber is about 700. Saeed et al [22] proposed the time delay saturation-based controller for active suppression of nonlinear beam vibrations and studied the effects of time delay on the system behavior. They found that the time delay adds to the system's response new control keys via shrinking or widening the controller's frequency bandwidth.…”

Section: Introductionmentioning

confidence: 99%

“…Figure(22) shows the frequency response curves of the main system and controller at force response curve of the main system in case of mistuning. These figures confirm the so called saturation phenomenon that was discussed before.…”

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confidence: 99%

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Vibration suppression of a nonlinear magnetic levitation system via time delayed nonlinear saturation controller

Eissa

Kandil

El-Ganaini

et al. 2015

International Journal of Non-Linear Mechanics

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“…22 The time delay saturation-based controller was considered for active suppression of nonlinear beam vibrations, and the effects of time delays on the system behaviour were studied. 23 The research works mentioned above are concerned with the selection of feedback gains and time delays that can enhance the control performance of nonlinear systems or change the position of the bifurcation point. However, all these works have failed to address how to choose optimized control parameters and time delays on the basis of keeping the system stable.…”

Section: Introductionmentioning

confidence: 99%

Piezoelectric optimal delayed feedback control for nonlinear vibration of beams

Liu

Yue

Zhou

2016

Journal of Low Frequency Noise, Vibration and Active Control

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An optimal delayed feedback control methodology is developed to mitigate the primary and super harmonic resonances of a flexible simply-simply supported beam with piezoelectric sensor and actuator. Stable vibratory regions of the feedback gains are obtained by using the stability conditions of eigenvalue equation. Attenuation ratio is used to evaluate the performance of vibration control by taking the proportion of peak amplitude of primary or super harmonic resonances for the suspension system with and without controllers. Optimal control parameters are obtained using an optimal method, which takes attenuation ratio as the objective function and the stable vibratory regions of the time delay and feedback gains as constraint conditions. The piezoelectric optimal controllers are designed to control the dynamic behaviour of the nonlinear dynamic system. It is found that the optimal feedback gains obtained by the optimal method result in a good control performance.

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Nonlinear time delay saturation-based controller for suppression of nonlinear beam vibrations

Cited by 49 publications

References 14 publications

The Study on Vibration Reduction of Nonlinear Time-Delay Dynamic Absorber under External Excitation

The Study on Vibration Reduction of Nonlinear Time-Delay Dynamic Absorber under External Excitation

Vibration suppression of a nonlinear magnetic levitation system via time delayed nonlinear saturation controller

Piezoelectric optimal delayed feedback control for nonlinear vibration of beams

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