Optimal distribution of piezoelectric patches for active vibration reduction of a thick plate using singular value decomposition approach

Nadi, Azin; Mahzoon, Mojtaba; Yazdi, Ehsan Azadi

doi:10.1038/s41598-021-93136-5

Cited by 8 publications

(5 citation statements)

References 26 publications

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“…With the use of a Fortran FEM application based on CUF, output text files can be generated for thick plates containing 10 actuators on top and the same number of sensors on bottom [28]. A frequency and dynamic response can be calculated by importing sparse mass and stiffness matrices as well as the force vector through MATLAB.…”

Section: Resultsmentioning

confidence: 99%

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Vibration suppression of thick plates with attached piezoelectric patches using 1D Carrera Unified Formulation (CUF) based finite element models

2022

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The first six vibration modes of a thick plate with 10 piezoelectric sensoractuator pairs are suppressed using advanced beam elements based on the one-dimensional Carrera Unified Formulation (CUF). A three-dimensional model is developed by combining one-dimensional beam elements with twodimensional Lagrange expansions in this paper. For the reduction of vibration of a thick cantilever plate, a PIDF type control is designed and tuned. Based on the results of the simulation, it can be concluded that the simulation of thick plate models with impulse inputs is efficient as well after model order reduction.

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Section: Resultsmentioning

confidence: 99%

“…The first six modes shape of the plate by ABAQUS TA B L E 3 Optimized location of piezoelectric patches attached to the rectangular plate[28] Ten piezoelectric patches on a cantilever thick plate by ParaView representation[28] …”

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confidence: 99%

Vibration suppression of thick plates with attached piezoelectric patches using 1D Carrera Unified Formulation (CUF) based finite element models

2022

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“…Furthermore, [17] Bruant et al and [18] Chakraborty et al determined the ideal position and the number of required elements of actuators for vibration control. [19] Nadi et al implemented the singular value decomposition technique to figure out the ideal distribution of the actuators to reduce vibrations of a thick plate. [20][21][22][23][24][25][26] Many other pieces of literature are available where the effective applications of piezoelectric actuators for reducing or controlling vibration are elaborately discussed, but to keep the present discussion concise those reviews are not presented in detail.…”

Section: Introductionmentioning

confidence: 99%

Active Vibration Control of Frame Structure by using Piezoelectric Actuation.

Biswas,

Hazra,

Roy

et al. 2024

IOP Conf. Ser.: Earth Environ. Sci.

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Active vibration control involves applying force actively in a way that is opposite and equivalent to the forces that are present due to vibration. Often vibration causes large displacements to structures which lead to catastrophic failure. Therefore the research in the control of the large displacements of the structure due to vibration is an essential part of mechanics. In the present work a plane frame structure is modeled in ABAQUS CAE to perform linear finite element analysis (FEA). The mesh convergence study is performed to obtain the suitable meshing type and the approximate global size. The frame is vibrated by applying a sinusoidal cyclic load and the maximum displacements in addition to the response in terms of displacement-time are obtained. At the next step the lateral elements of the frame are bonded with piezoelectric strips and the piezoelectric strips are actuated by applying external voltage. The effect of simultaneous application of voltage on piezoelectric strip and the external sinusoidal dynamic force is deliberated in terms of the maximum displacement, deformed shape of the frame and the displacement-time response. The results obtained with and without the applications of piezoelectric actuation are carefully compared. The comparison shows a considerable reduction in maximum displacements as well as better stability of the structure.

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“…For example, Cantero-Chinchilla et al (2020) relaxed the optimization problem of discrete decision variables into continuous variables to achieve the convexity of cost function, so as to reduce the complexity of actuator and sensor locations optimization calculation. Some researchers used singular value decomposition to obtain the objective function (Chhabra et al, 2016; Nadi et al, 2021). Tham et al (2018) established a finite element model based on the first-order shear deformation theory, took the maximization of the natural frequency obtained from the model as the objective function, and optimized it with genetic algorithm.…”

Section: Introductionmentioning

confidence: 99%

Optimization of the location of piezoelectric actuator and sensor in active vibration control using Multi-Verse Optimizer algorithm

Chen

Yan

et al. 2022

Journal of Intelligent Material Systems and Structures

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In the process of using piezoelectric actuators and sensors to actively control the vibration of flexible structures, the controllability and spillover effect of the system are often the focus of attention, and the location of piezoelectric actuators and sensors is one of the key factors affecting controllability and spillover effect. In this paper, the residual modes are introduced into the location optimization criteria of actuators and sensors, so that the energy can drive as much as possible the eigenmodes that need to be controlled, and avoid driving the residual eigenmodes. At the same time, a modified Multi-Verse Optimizer (MVO) algorithm is used to optimize the location of piezoelectric actuators and sensors. The important results obtained in this paper are compared with the results obtained by the finite element simulation software to verify the accuracy of the relevant derivation results, and the optimization simulation of the position of piezoelectric actuator and the simulation of vibration control are carried out. The simulation results showed that, the MVO algorithm is very suitable for solving the optimization problems that these criteria are non-convex and difficult to derive, and the resulting optimized layout can effectively suppress vibration.

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Optimal distribution of piezoelectric patches for active vibration reduction of a thick plate using singular value decomposition approach

Cited by 8 publications

References 26 publications

Vibration suppression of thick plates with attached piezoelectric patches using 1D Carrera Unified Formulation (CUF) based finite element models

Vibration suppression of thick plates with attached piezoelectric patches using 1D Carrera Unified Formulation (CUF) based finite element models

Active Vibration Control of Frame Structure by using Piezoelectric Actuation.

Optimization of the location of piezoelectric actuator and sensor in active vibration control using Multi-Verse Optimizer algorithm

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