Nonlinear electromechanical analysis of axisymmetric thin circular plate based on flexoelectric theory

Abstract Flexoelectricity will dominate the electromechanical coupling of intelligent components in MEMS/NEMS due to its size-dependency. This paper focuses on investigating the flexoelectric responses of intelligent components of the circular plate type, which are commonly used in MEMS/NEMS. Utiliz...

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Autor principal:	Xue Ji
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/0d6daaa43e5a4fee905cdd7df0827f9a
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spelling	oai:doaj.org-article:0d6daaa43e5a4fee905cdd7df0827f9a2021-11-08T10:52:43ZNonlinear electromechanical analysis of axisymmetric thin circular plate based on flexoelectric theory10.1038/s41598-021-01289-02045-2322https://doaj.org/article/0d6daaa43e5a4fee905cdd7df0827f9a2021-11-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-01289-0https://doaj.org/toc/2045-2322Abstract Flexoelectricity will dominate the electromechanical coupling of intelligent components in MEMS/NEMS due to its size-dependency. This paper focuses on investigating the flexoelectric responses of intelligent components of the circular plate type, which are commonly used in MEMS/NEMS. Utilizing Hamilton’s principle, the nonlinear flexoelectric circular plate model is presented by combining von Kármán plate theory and flexoelectric theory. The equilibrium equations and all boundary conditions are obtained and then discretized. The nonlinear static bending of the simply supported axisymmetric flexoelectric circular plate is investigated by combining DQM and iteration method. The distributions of dimensionless bending deflection and electric potential are analyzed under different loads. Moreover, the nonlinear free vibration behaviors are also investigated by combining the Galerkin method and Lindstedt–Poincaré Method. The flexoelectric effect and stiffening effect of strain gradient are revealed. This paper will be helpful to promote the application of flexoelectric intelligent components of the circular plate type, which are encountered commonly in engineering.Xue JiNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-15 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Xue Ji Nonlinear electromechanical analysis of axisymmetric thin circular plate based on flexoelectric theory
description	Abstract Flexoelectricity will dominate the electromechanical coupling of intelligent components in MEMS/NEMS due to its size-dependency. This paper focuses on investigating the flexoelectric responses of intelligent components of the circular plate type, which are commonly used in MEMS/NEMS. Utilizing Hamilton’s principle, the nonlinear flexoelectric circular plate model is presented by combining von Kármán plate theory and flexoelectric theory. The equilibrium equations and all boundary conditions are obtained and then discretized. The nonlinear static bending of the simply supported axisymmetric flexoelectric circular plate is investigated by combining DQM and iteration method. The distributions of dimensionless bending deflection and electric potential are analyzed under different loads. Moreover, the nonlinear free vibration behaviors are also investigated by combining the Galerkin method and Lindstedt–Poincaré Method. The flexoelectric effect and stiffening effect of strain gradient are revealed. This paper will be helpful to promote the application of flexoelectric intelligent components of the circular plate type, which are encountered commonly in engineering.
format	article
author	Xue Ji
author_facet	Xue Ji
author_sort	Xue Ji
title	Nonlinear electromechanical analysis of axisymmetric thin circular plate based on flexoelectric theory
title_short	Nonlinear electromechanical analysis of axisymmetric thin circular plate based on flexoelectric theory
title_full	Nonlinear electromechanical analysis of axisymmetric thin circular plate based on flexoelectric theory
title_fullStr	Nonlinear electromechanical analysis of axisymmetric thin circular plate based on flexoelectric theory
title_full_unstemmed	Nonlinear electromechanical analysis of axisymmetric thin circular plate based on flexoelectric theory
title_sort	nonlinear electromechanical analysis of axisymmetric thin circular plate based on flexoelectric theory
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/0d6daaa43e5a4fee905cdd7df0827f9a
work_keys_str_mv	AT xueji nonlinearelectromechanicalanalysisofaxisymmetricthincircularplatebasedonflexoelectrictheory
_version_	1718442494917607424

Nonlinear electromechanical analysis of axisymmetric thin circular plate based on flexoelectric theory

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