Characteristic orthogonal polynomials-Ritz method for vibration behavior of functionally graded piezoelectric plates using FSDT

DOI10.1016/j.camwa.2021.07.006OpenAlexW3189773317MaRDI QIDQ2047615

Yanyan Li

Publication date: 20 August 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2021.07.006

zbMATH Keywords

orthogonal polynomialsfree vibration analysisRayleigh-Ritz methodfunctionally graded piezoelectric plategeneral elastic constraints

Mathematics Subject Classification ID

Control, switches and devices (``smart materials) in solid mechanics (74M05) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Thermal effects in solid mechanics (74F05) Electromagnetic effects in solid mechanics (74F15)

Related Items (4)

Vibration analysis of variable fractional viscoelastic plate based on shifted Chebyshev wavelets algorithm ⋮ Three-dimensional nonlinear stability analysis of axial-thermal-electrical loaded FG piezoelectric microshells via MKM strain gradient formulations ⋮ On nonlinear forced vibration of micro scaled panels ⋮ Electromechanical behavior of piezolaminated shell structures with imperfect functionally graded porous materials using an improved solid-shell element

Cites Work

• On the simple and mixed first-order theories for functionally graded plates resting on elastic foundations
• Exact solutions of functionally graded piezoelectric material sandwich cylinders by a modified Pagano method
• A high-performance parametrized mixed finite element model for bending and vibration analyses of thick plates
• On free vibration of a functionally graded piezoelectric rectangular plate
• Static bending and free vibration of a functionally graded piezoelectric microplate based on the modified couple-stress theory
• Thermoelastic vibration and buckling analysis of functionally graded piezoelectric cylindrical shells
• Free vibration of functionally graded carbon nanotube reinforced composite plates integrated with piezoelectric layers
• Computations of stresses and energy dissipation in composite thin laminates with the asymptotic vibration theory
• Jacobi-Ritz method for free vibration analysis of uniform and stepped circular cylindrical shells with arbitrary boundary conditions: a unified formulation
• An exact solution for free vibration of cross-ply laminated composite cylindrical shells with elastic restraint ends
• Approximate solution of fractional vibration equation using Jacobi polynomials
• Control of the transient thermoelastic displacement of a functionally graded rectangular plate bonded to a piezoelectric plate due to nonuniform heating.

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