Vibration Analysis of a Unimorph Nanobeam with a Dielectric Layer of Both Flexoelectricity and Piezoelectricity

Naderi, Ali; Quoc-Thai, Tran; Zhuang, Xiaoying; Jiang, Xiaoning

doi:10.3390/ma16093485

Title: Vibration Analysis of a Unimorph Nanobeam with a Dielectric Layer of Both Flexoelectricity and Piezoelectricity

Journal Article · Sun Apr 30 00:00:00 EDT 2023 · Materials

DOI:https://doi.org/10.3390/ma16093485· OSTI ID:1974982

^[1]; Quoc-Thai, Tran ^[2]; Zhuang, Xiaoying ^[3]; Jiang, Xiaoning ^[4]

Syracuse Univ., NY (United States)
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Leibniz University Hannover (Germany)
North Carolina State University, Raleigh, NC (United States)

In this study, for the first time, free and forced vibrational responses of a unimorph nanobeam consisting of a functionally graded base, along with a dielectric layer of both piezoelectricity and flexoelectricity, is investigated based on paradox-free local/nonlocal elasticity. The formulation and boundary conditions are attained by utilizing the energy method Hamilton’s principle. In order to set a comparison, the formulation of a model in the framework of differential nonlocal is first presented. An effective implementation of the generalized differential quadrature method (GDQM) is then utilized to solve higher-order partial differential equations. This method can be utilized to solve the complex equations whose analytic results are quite difficult to obtain. Lastly, the impact of various parameters is studied to characterize the vibrational behavior of the system. Additionally, the major impact of flexoelectricity compared to piezoelectricity on a small scale is exhibited. The results show that small-scale flexoelectricity, rather than piezoelectricity, is dominant in electromechanical coupling. One of the results that can be mentioned is that the beams with higher nonlocality have the higher voltage and displacement under the same excitation amplitude. The findings can be helpful for further theoretical as well as experimental studies in which dielectric material is used in smart structures.

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Research Organization:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); European Research Council (ERC)

Grant/Contract Number:: 89233218CNA000001; 802205

OSTI ID:: 1974982

Report Number(s):: LA-UR-23-22529

Journal Information:: Materials, Vol. 16, Issue 9; ISSN 1996-1944

Publisher:: MDPICopyright Statement

Country of Publication:: United States

Language:: English

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Title: Vibration Analysis of a Unimorph Nanobeam with a Dielectric Layer of Both Flexoelectricity and Piezoelectricity

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