Free vibration of circular and annular nanoplates with surface and flexoelectric effects

被引：8
作者：
Wang, Bin [1 ]
Li, Xian-Fang [1 ]
机构：
[1] Cent South Univ, Sch Civil Engn, Changsha 410075, Peoples R China
来源：
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES | 2022年 / 29卷 / 27期
基金：
中国国家自然科学基金;
关键词：
Flexoelectric effect; surface effect; circular nanoplate; free vibration; natural frequencies; NATURAL FREQUENCIES; PIEZOELECTRICITY; POLARIZATION;
D O I：
10.1080/15376494.2021.1983898
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Free vibration of circular/annular piezoelectric nanoplates with flexoelectric and surface effects is studied. Using Hamilton's principle, the governing equation and boundary conditions of circular/annular nanoplates are derived. Exact characteristic equations of clamped and simply-supported circular nanoplates are obtained. The static/dynamic flexoelectric and surface effects on the natural frequencies are analyzed. The results show that the flexoelectric and surface effects have obvious size effects. Positive surface stress increases the natural frequencies as if the nanoplate is tightened, and vice versa. There is a competitive mechanism between the influence of the flexoelectric and surface effects on the natural frequencies.
引用
收藏
页码：6705 / 6717
页数：13
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