2021
DOI: 10.1038/s41598-021-93136-5
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Optimal distribution of piezoelectric patches for active vibration reduction of a thick plate using singular value decomposition approach

Abstract: This paper uses the singular value decomposition approach to find the optimal distribution of a set of piezoelectric actuators and sensors in order to suppress the vibrations of a thick plate. The dynamic model of the system is derived using Mindlin plate theory and consequently, the finite difference method is employed to divide the thick plate to a finite number of nodes with appropriate horizontal and vertical distances. To compute the control force of piezoelectric actuators, the singular value decompositi… Show more

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Cited by 7 publications
(4 citation statements)
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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%
See 1 more Smart Citation
“…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%
“…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] …”
mentioning
confidence: 99%
“…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%
“…Nadi proposed a singular value decomposition method to find the optimal layout of piezoelectric actuators and sensors. The results show that the vibration reduction effect of the cantilever thick plate has been significantly improved 24 .Bruant proposed using a genetic algorithm to identify the optimal actuator and sensor locations that minimize mechanical energy and maximize the energy output of the state, respectively [25][26][27] . Ooi determined the optimal location and orientation angle of each engine mount using a dynamic optimization process to achieve minimum mean force transmissibility 28 .…”
mentioning
confidence: 99%