Dynamic responses of functionally graded magneto-electro-elastic shells with closed-circuit surface conditions using the method of multiple scales

DOI10.1016/j.euromechsol.2009.09.004zbMath1480.74132OpenAlexW2058224881MaRDI QIDQ2034266

Chih-Ping Wu, Yi-Hwa Tsai

Publication date: 21 June 2021

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2009.09.004

zbMATH Keywords

asymptotic expansionperturbation methodvibration frequencyfirst-order approximationcoupled classical shell theory

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) Inhomogeneity in solid mechanics (74E05) Shells (74K25) Electromagnetic effects in solid mechanics (74F15)

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Cites Work

• Dynamic responses of functionally graded magneto-electro-elastic shells with open-circuit surface conditions
• An exact solution for functionally graded piezoelectric laminates in cylindrical bending
• Cylindrical bending vibration of functionally graded piezoelectric shells using the method of perturbation
• Three-dimensional exact analysis of a simply supported functionally gradient piezoelectric plate.
• Exact solutions for magneto-electro-elastic laminates in cylindrical bending.
• On free vibration of a functionally graded piezoelectric rectangular plate
• Exact solutions of functionally graded piezoelectric shells under cylindrical bending
• Three-dimensional analysis of doubly curved functionally graded magneto-electro-elastic shells
• Exact solution of a compositionally graded piezoelectric layer under uniform stretch, bending and twisting.

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