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Thermo-electrical vibration investigation of the circular FG nanoplates based on nonlocal higher-order plate theory

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Abstract

In the current research, the thermo-electrical vibration investigation of FG piezoelectric structures in a circular nanoplate is examined. Size-dependent nonlocal higher-order plate theory is dedicated to ponder the nonlocality. The mechanical properties of the system vary through the thickness based on the power law distribution. The nonlocal governing equations of motion and related boundary conditions are obtained according to Hamilton’s principle, whereby the differential quadrature (DQ) technique is employed as mathematical implement to acquire the responses of the eigenvalue problem in a discrete state. Several compositions of boundary situations including C–C and S–S are considered. The impacts of the diverse variables including nonlocality, FG index, temperature variations and external voltage are investigated on the vibration characteristics of the FG circular nanoplates.

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Acknowledgements

Inner Mongolia Department of Education Science Research Program (NJZY21428).

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Authors and Affiliations

  1. College of Engineering, Inner Mongolia MINZU University, Tongliao City, 028000, China

    Lina Liu

  2. Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, Netherlands

    John Smitt

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  1. Lina Liu
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Correspondence to Lina Liu or John Smitt.

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Liu, L., Smitt, J. Thermo-electrical vibration investigation of the circular FG nanoplates based on nonlocal higher-order plate theory. Eur. Phys. J. Plus 136, 1044 (2021). https://doi.org/10.1140/epjp/s13360-021-01966-z

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