article · Mechanics of Advanced Materials and Structures
Free vibration analysis of functionally graded piezoelectric plates with porosities is conducted using a refined four-unknown plate theory. This theoretical formulation accounts for shear deformation effects without requiring a shear correction factor. Material property variations within the functionally graded piezoelectric plate are represented using a modified power-law model. Governing equations are established from Hamilton's principle and resolved via an analytical method capable of satisfying diverse boundary conditions. The resulting data are verified against existing findings from the literature. The work evaluates how vibrational responses are altered by applied electrical voltage, porosity distribution, material graduation, plate geometry, and edge support constraints, offering insights into the structural behaviour of porous smart materials under dynamic conditions.
Smart structures combining piezoelectric responses with functionally graded materials are of interest for advanced engineering components. Understanding how structural defects such as internal porosities interact with electrical voltage and boundary supports is essential for predicting dynamic performance and avoiding structural failure under mechanical loads.
This work represents early-stage analytical research that could aid computational engineers and structural designers developing smart sensors or actuators. Because the abstract is strictly limited to theoretical modelling and mathematical derivation, it does not demonstrate an applied prototype or provide a direct pathway to commercial deployment.
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Here, free vibration analysis of functionally graded piezoelectric (FGP) plates with porosities is carried out based on refined four-unknown plate theory. The present plate theory captures shear deformation impacts needless of shear correction factor. A modified power-law model is adopted to describe the graded material properties of a functionally graded piezoelectric plate. Implementing an analytical approach, which satisfies different boundary conditions, governing equations derived from Hamilton's principle are solved. The obtained results are compared with those provided in the literature. The impacts of applied voltage, porosity distribution, material graduation, plate geometrical parameters, and boundary conditions on vibration of porous FGP plate are discussed.
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DOI: 10.1080/15376494.2016.1196799
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