<p>This study investigates the electromechanical dynamic behavior of the three-layered flexoelectric microshell, where the middle layer consists of the porous functionally graded (FG) distribution of silica and alumina, while the inner and outer layers are homogeneously composed of barium titanate. The displacement field is developed based on the first-order shear deformation theory (FSDT), and the reformulated flexoelectric theory is employed to derive the structural relations of the microshell. Governing equations and corresponding boundary conditions are extracted within the framework of Hamilton’s principle. Subsequently, the equations are solved in spatial and temporal domains under the considered boundary conditions using the finite element method and Newmark-beta method. The effects of various parameters, including the velocity of the load (<i>v</i><sub><i>P</i></sub>), FG power (<i>N</i>), flexocoupling coefficients (<i>f</i><sub><i>i</i></sub>), size effect (<i>l</i><sub><i>i</i></sub>), porosity effect (<i>ϕ</i>), electrical size effect (<i>β</i><sub><i>i</i></sub>), and flexoelectric layer thickness (<i>h</i><sub><i>f</i></sub>), on the electromechanical dynamic behavior of the microshell are studied. The results indicate significant influences of these parameters on mechanical components, such as deflection, and electrical components, such as electric field intensity.</p>

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Electromechanical dynamic behavior of the three-layered porous functionally graded flexoelectric microshell under moving load

  • Asghar Faramarzi Babadi,
  • Yaghoub Tadi Beni,
  • Krzysztof Kamil Żur

摘要

This study investigates the electromechanical dynamic behavior of the three-layered flexoelectric microshell, where the middle layer consists of the porous functionally graded (FG) distribution of silica and alumina, while the inner and outer layers are homogeneously composed of barium titanate. The displacement field is developed based on the first-order shear deformation theory (FSDT), and the reformulated flexoelectric theory is employed to derive the structural relations of the microshell. Governing equations and corresponding boundary conditions are extracted within the framework of Hamilton’s principle. Subsequently, the equations are solved in spatial and temporal domains under the considered boundary conditions using the finite element method and Newmark-beta method. The effects of various parameters, including the velocity of the load (vP), FG power (N), flexocoupling coefficients (fi), size effect (li), porosity effect (ϕ), electrical size effect (βi), and flexoelectric layer thickness (hf), on the electromechanical dynamic behavior of the microshell are studied. The results indicate significant influences of these parameters on mechanical components, such as deflection, and electrical components, such as electric field intensity.