Laminated piezoelectric beam element for dynamic analysis of piezolaminated smart beams and GA-based LQR active vibration control

Tian, Junfeng; Guo, Qiaoyu; Shi, G.

doi:10.1016/j.compstruct.2020.112480

Cited by 42 publications

(21 citation statements)

References 37 publications

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“…Assuming that the electric potential field varies according to a linear function along the thickness of each piezoelectric layer [18,19]. The electric field E z can be determined as [20] E…”

Section: Displacement Field Strain Field and Constitutive Equationmentioning

confidence: 99%

Analytical solution for free vibration analysis of GPL-RP beam integrated with piezoelectric layers

2022

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This report presents an analytical approach to the natural frequency analysis of a porous beam consisting of a host porous layer reinforced with graphene platelets (GPLs), namely GPL-reinforced porous core, and two piezoelectric outer layers. In the modelling, symmetric distributions of both porosity and GPLs in the core are supposed. The effective mechanical properties of the GPL-reinforced porous core are estimated by Halpin–Tsai model and the rule of mixture. The electric potential in each piezoelectric layer is assumed to vary linearly across its thickness. Two types of electrical boundary conditions, which are open- and closed-circuits, are considered for the free surfaces of the piezoelectric layers. Parabolic shear deformation beam theory associated with Hamilton’s principle is adopted to derive the governing equations of the free vibration. Afterwards these equations are solved analytically by Navier’s solution. Comparative and comprehensive studies are carried out to examine the accuracy and effects of parameters and conditions, such as GPL weight fraction, porosity coefficient, and electrical boundary conditions on the natural frequencies of the beam.

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Section: Displacement Field Strain Field and Constitutive Equationmentioning

confidence: 99%

Analytical solution for free vibration analysis of GPL-RP beam integrated with piezoelectric layers

2022

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“…Yao et al [9] proposed a temperature feedback control method to realize active buckling control of piezoelectric composite laminate structures under thermal loading and uniaxial compression. Tian et al [10] adopted the LQR control scheme and optimized the weighting matrix by a genetic algorithm to effectively suppress the vibration of piezoelectric composite beams. Quoc et al [11] developed the constant velocity feedback strategy and discussed the influence of control gain on the active control of piezoelectric functionally graded carbon nanotubes.…”

Section: Introductionmentioning

confidence: 99%

Active vibration control of a piezoelectric composite laminate

Chen

Liu

2022

J. Phys.: Conf. Ser.

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An active vibration control method of the piezoelectric composite laminated plate under the external disturbance is studied. Firstly, the dynamic model of the piezoelectric composite laminated plate is derived based on the classical laminated plate theory and the Hamilton's principle. And subsequently, a sliding mode observer is developed for the external disturbance, and the stability of the observer is verified by the Lyapunov equation, and also the LQR controller is designed based on the observed state. The particle swarm algorithm is adapted to optimize the weighting matrix. In the end, the impacts of the geometric parameters and the stacking sequences on the dynamic behavior of the piezoelectric composite material plate is analyzed. Results indicate that the sliding mode observer can accurately track the original state, and the vibration of the piezoelectric composite material plate can be suppressed effectively by the LQR control based on the particle swarm

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“…Regarding vibration control, Jamshidi and Jafari (2021) examined the vibration of piezoelectric layers. Tian et al (2020) investigated the active vibration control of laminated composites containing piezoelectric layers with the aid of the third-order shear deformation plate theory (TSDT). Li et al (2021) considered an all-clamped piezoelectric plate to estimate the external environmental excitations imposed on the plate structure.…”

Section: Introductionmentioning

confidence: 99%

Probabilistic reliability analysis for active vibration control of piezoelectric laminated composite plates using mesh-free finite volume method

Badeleh

Fallah

2022

Journal of Intelligent Material Systems and Structures

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The implementation of deterministic design approaches in the presence of uncertainty is an adequate design task. Probabilistic methods are then used in structural design procedures, offering structural safety predictions. In this study, reliability-based analysis of a piezoelectric laminated composite plate subjected to the mechanical loads was investigated, accounting for the epistemic source of uncertainty. Material properties of the plate were considered temperature-dependent. The sophisticated mesh-free finite volume approach was employed to actively control the vibration of the temperature-dependent piezoelectric laminated composite plate through the first-order shear deformation principles. The induced vibration was treated as a non-stationary random process, and the generalized failure index was estimated using the first-passage probability concept by adopting the novel asymptotic sampling technique. The veracity of the suggested model was corroborated by alternate approaches in the literature, comprising the finite element approach. Furthermore, the temperature-dependent piezoelectric laminated composite plate with different ply orientations was considered to assess the safety index variation against changes in the ambient temperature and the laminate stacking orientation. The obtained results revealed that with increasing temperature, the reliability of the composite plate reduced. It was also realized that the reliability index is directly correlated with the piezoelectric voltage.

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Laminated piezoelectric beam element for dynamic analysis of piezolaminated smart beams and GA-based LQR active vibration control

Cited by 42 publications

References 37 publications

Analytical solution for free vibration analysis of GPL-RP beam integrated with piezoelectric layers

Analytical solution for free vibration analysis of GPL-RP beam integrated with piezoelectric layers

Active vibration control of a piezoelectric composite laminate

Probabilistic reliability analysis for active vibration control of piezoelectric laminated composite plates using mesh-free finite volume method

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