Free vibration of nanobeams with surface and dynamic flexoelectric effects

Autor:	Peng Wang, JiaWei Xu, XiWen Zhang, YingHui Lv
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	Dynamic flexoelectricity Surface effect Flexoelectric effect Piezoelectric nanobeam Free vibration Medicine Science
Zdroj:	Scientific Reports, Vol 14, Iss 1, Pp 1-12 (2024)
Druh dokumentu:	article
ISSN:	2045-2322
DOI:	10.1038/s41598-024-82002-9
Popis:	Abstract In this paper, the free vibration of piezoelectric nanobeams considering static flexoelectric, dynamic flexoelectric, and surface effects is studied. Based on the theories of the Timoshenko beam and Euler-Bernoulli beam, a theoretical model of flexoelectric nanobeams is established and the governing equations and boundary conditions of this model are derived using the variational principle. Then, the analytical solution of the frequency equation is obtained by using the Navier method. Numerical results indicate that the size dependence of the dynamic flexoelectric effect is stronger than the surface effect. The surface and dynamic flexoelectric effects exhibit a competitive mechanism on the natural frequency.
Databáze:	Directory of Open Access Journals
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