2016
DOI: 10.1177/0263092316628255
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Piezoelectric optimal delayed feedback control for nonlinear vibration of beams

Abstract: 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 withou… Show more

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Cited by 27 publications
(34 citation statements)
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“…where f 11 (τ) and f 21 (τ) are the undetermined coefficients. According to the Galerkin method, substituting equations (18) and (20) into equation (15)…”
Section: (18)mentioning
confidence: 99%
See 2 more Smart Citations
“…where f 11 (τ) and f 21 (τ) are the undetermined coefficients. According to the Galerkin method, substituting equations (18) and (20) into equation (15)…”
Section: (18)mentioning
confidence: 99%
“…Substituting equations (18) and (20) into equation (15) generates the subsequent equations by employing the Galerkin method:…”
Section: (18)mentioning
confidence: 99%
See 1 more Smart Citation
“…Beni et al 6 analyzed free vibration behavior of a single-walled carbon nanotube based on couple stress theory. Liu et al 7 applied an optimal delayed feedback control method to mitigate the nonlinear vibration of a flexible simply-simply supported beam. Hirwani et al 8 investigated transient responses of the shear deformable layered composite plate under the mechanical transverse (uniform and sinusoidal) loading by using the nonlinear finite element method.…”
Section: Introductionmentioning
confidence: 99%
“…25,26 An optimal delayed feedback control methodology was developed to mitigate the primary and superharmonic resonances of a flexible simply-simply supported beam with a piezoelectric sensor and actuator. 27 Moon et al 28 have designed a sliding mode controller for active control of cable-stayed bridges subjected to seismic excitation. The response of an off-shore structure under random ocean waves has been controlled using a modified probabilistic neural network.…”
Section: Introductionmentioning
confidence: 99%