Free vibration characteristics of piezoelectric cylindrical shells with stepped thickness using an analytical symplectic approach

DOI10.1016/J.APM.2023.01.006zbMath1510.74082OpenAlexW4315499016MaRDI QIDQ6039472

Xin-Sheng Xu, Andi Lai, Yongqi Li, Jufang Jia, Shengbo Zhu, Zhenzhen Tong, Yiwen Ni, Zhenhuan Zhou

Publication date: 5 May 2023

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

Full work available at URL: https://doi.org/10.1016/j.apm.2023.01.006

zbMATH Keywords

mode shapenatural frequencyfree vibrationsymplectic methodstepped thicknesspiezoelectric cylindrical shell

Mathematics Subject Classification ID

Shells (74K25) Free motions in linear vibration theory (70J30)

Cites Work

• Analytical solution for the cylindrical bending vibration of piezoelectric composite plates
• Surface energy effect on nonlinear free vibration behavior of orthotropic piezoelectric cylindrical nano-shells
• Analytical solution for free vibration of piezoelectric coupled moderately thick circular plates
• Thermoelastic vibration and buckling analysis of functionally graded piezoelectric cylindrical shells
• On a symplectic analytical singular element for cracks under thermal shock considering heat flux singularity
• An analytical approach for nonlinear thermo-electro-elastic forced vibration of piezoelectric penta -- graphene plates
• Forced vibration of piezoelectric and flexoelectric Euler-Bernoulli beams by dynamic Green's functions

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