An explicit exact analytical approach for free vibration of circular/annular functionally graded plates bonded to piezoelectric actuator/sensor layers based on Reddy's plate theory

DOI10.1016/J.APM.2013.03.021zbMath1426.74202OpenAlexW2069143146MaRDI QIDQ1789456

A. R. Saidi, M. Rahmat Talabi

Publication date: 10 October 2018

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2013.03.021

zbMATH Keywords

piezoelectric layerfunctionally graded materialsfree vibrationexact closed-form procedure

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20)

Related Items (5)

Bending analysis of five-layer curved functionally graded sandwich panel in magnetic field: closed-form solution ⋮ Free vibration of a functionally graded annular sector plate integrated with piezoelectric layers ⋮ Free vibration analysis of discrete-continuous functionally graded circular plate via the Neumann series method ⋮ Analytical buckling response of sectorial porous plates integrated with piezoelectric layers ⋮ Three-dimensional analytical solutions for the axisymmetric bending of functionally graded annular plates

Cites Work

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• On the effects of coupling between in-plane and out-of-plane vibrating modes of smart functionally graded circular/annular plates
• A theoretical analysis of smart moderately thick shear deformable annular functionally graded plate
• An accurate, simple theory of the statics and dynamics of elastic plates
• Free axisymmetric vibration of transversely isotropic piezoelectric circular plates
• Analytical solution for free vibration of piezoelectric coupled moderately thick circular plates
• A Simple Higher-Order Theory for Laminated Composite Plates

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