Abstract
In this work, we aim to study free vibration of functionally graded piezoelectric material (FGPM) cylindrical nanoshells with nano-voids. The present model incorporates the small scale effect and thermo-electro-mechanical loading. Two types of porosity distribution, namely, even and uneven distributions, are considered. Based on Love’s shell theory and the nonlocal elasticity theory, governing equations and corresponding boundary conditions are established through Hamilton’s principle. Then, natural frequencies of FGPM nanoshells with nano-voids under different boundary conditions are analyzed by employing the Navier method and the Galerkin method. The present results are verified by the comparison with the published ones. Finally, an extensive parametric study is conducted to examine the effects of the external electric potential, the nonlocal parameter, the volume fraction of nano-voids, the temperature rise on the vibration of porous FGPM cylindrical nanoshells.
Highlights
Piezoelectric materials are characterized by the excellent coupling between the electric and mechanical fields
In functionally graded piezoelectric material (FGPM), owing to the technical issues, nano-voids or porosities may occur within materials
The results reveal that the natural frequency decreases as the porosity volume fraction increases
Summary
Piezoelectric materials are characterized by the excellent coupling between the electric and mechanical fields. Applying mechanical load to piezoelectric materials generates an electric field, while putting piezoelectric materials in an electric field creates mechanical strain in them This two-way property has made piezoelectric materials ideal for making actuators and sensors [1,2,3,4]. In order to eliminate these problems, functionally graded piezoelectric materials (FGPMs) were proposed. Graded materials are generally composed of two different materials, and are characterized by continuous variations in both mechanical properties and material composition in one or more dimension(s). FGPMs are generally composed of two different piezoelectric materials. They have many advantages such as multifunctionality, ability to control deformation, and minimization or removal of stress. It is necessary to consider the porosity effect on vibration characteristics of porous FGPM structures
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