Analytical treatment of nonlocal vibration of multilayer functionally graded piezoelectric nanoscale shells incorporating thermal and electrical effect

Yan Qing Wang, Yun Fei Liu, Jean Zu

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1 Citation (Scopus)

Abstract

This paper investigates the vibration of sandwich functionally graded piezoelectric material (FGPM) circular cylindrical nanoshells subjected to thermo-electro-mechanical loading. Based on the nonlocal elasticity theory and Love’s thin shell theory, the governing equations of the present system are derived by using Hamilton’s principle. Then, Navier’s method is utilized to obtain the analytical solution to the sandwich FGPM nanoshells under simply supported condition. Afterwards, a detailed parametric study is conducted. Results show that the temperature, the external electric potential, the nonlocal parameter, the power-law index, the core thickness, the sandwich type and the radius-to-thickness ratio play important roles on the free vibration of sandwich FGPM cylindrical nanoshells.

Original languageEnglish (US)
Article number54
JournalEuropean Physical Journal Plus
Volume134
Issue number2
DOIs
StatePublished - Feb 1 2019

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shell theory
thickness ratio
free vibration
temperature effects
elastic properties
vibration
radii
electric potential
temperature

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

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abstract = "This paper investigates the vibration of sandwich functionally graded piezoelectric material (FGPM) circular cylindrical nanoshells subjected to thermo-electro-mechanical loading. Based on the nonlocal elasticity theory and Love’s thin shell theory, the governing equations of the present system are derived by using Hamilton’s principle. Then, Navier’s method is utilized to obtain the analytical solution to the sandwich FGPM nanoshells under simply supported condition. Afterwards, a detailed parametric study is conducted. Results show that the temperature, the external electric potential, the nonlocal parameter, the power-law index, the core thickness, the sandwich type and the radius-to-thickness ratio play important roles on the free vibration of sandwich FGPM cylindrical nanoshells.",
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AB - This paper investigates the vibration of sandwich functionally graded piezoelectric material (FGPM) circular cylindrical nanoshells subjected to thermo-electro-mechanical loading. Based on the nonlocal elasticity theory and Love’s thin shell theory, the governing equations of the present system are derived by using Hamilton’s principle. Then, Navier’s method is utilized to obtain the analytical solution to the sandwich FGPM nanoshells under simply supported condition. Afterwards, a detailed parametric study is conducted. Results show that the temperature, the external electric potential, the nonlocal parameter, the power-law index, the core thickness, the sandwich type and the radius-to-thickness ratio play important roles on the free vibration of sandwich FGPM cylindrical nanoshells.

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