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

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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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Authors and Affiliations

  1. Department of Mechanics, Northeastern University, 110819, Shenyang, China

    Yan Qing Wang & Yun Fei Liu

  2. Key Laboratory of Ministry of Education on Safe Mining of Deep Metal Mines, Northeastern University, 110819, Shenyang, China

    Yan Qing Wang

  3. Schaefer School of Engineering and Science, Stevens Institute of Technology, 07030, Hoboken, NJ, USA

    Jean W. Zu

Authors
  1. Yan Qing Wang
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  2. Yun Fei Liu
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  3. Jean W. Zu
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Correspondence to Yan Qing Wang.

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Wang, Y.Q., Liu, Y.F. & Zu, J.W. Analytical treatment of nonlocal vibration of multilayer functionally graded piezoelectric nanoscale shells incorporating thermal and electrical effect. Eur. Phys. J. Plus 134, 54 (2019). https://doi.org/10.1140/epjp/i2019-12405-9

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