期刊
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES
卷 29, 期 27, 页码 6705-6717出版社
TAYLOR & FRANCIS INC
DOI: 10.1080/15376494.2021.1983898
关键词
Flexoelectric effect; surface effect; circular nanoplate; free vibration; natural frequencies
类别
资金
- National Natural Science Foundation of China [12072374]
The study on free vibration of circular/annular piezoelectric nanoplates with flexoelectric and surface effects reveals that there are obvious size effects. Positive surface stress increases natural frequencies, mimicking the tightening of nanoplates. There is a competitive mechanism between the influence of flexoelectric and surface effects on natural frequencies.
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.
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