The size-dependent natural frequency of a circular nanoplate including different surface effects

ZHOU Shasha; ZHOU Shenjie; LI Anqing; WANG Binglei

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The size-dependent natural frequency of a circular nanoplate including different surface effects

ZHOU Shasha 1 #,ZHOU Shenjie 1 *,LI Anqing 1,WANG Binglei 2

1.Mechanical Engineering School, Shandong University, 250061

2.Civil Engineering School, Shandong University, 250061

*Correspondence author

#Submitted by

Subject:

Funding: National Natural Science Foundation of China （No.No. 11272186, 11202117）, Specialized Research Fund for the Doctoral Program of Higher Education of China （No.No. 20120131110045）, Natural Science Fund of Shandong Province of China （No.No. ZR2012AM014, BS2012ZZ006）

Opened online:20 May 2014

Accepted by: none

Citation: ZHOU Shasha,ZHOU Shenjie,LI Anqing.The size-dependent natural frequency of a circular nanoplate including different surface effects[OL]. [20 May 2014] http://en.paper.edu.cn/en_releasepaper/content/4596536

In this paper, an analytical model of a circular nanoplate including different surface effects on the top and bottom layers is developed, which can be provided to discuss the size-dependent natural frequency of the nanoplate. The governing equation of the circular nanoplate is derived based on the plate theory and the continuum surface elasticity theory. Numerical results are obtained and compared with the previous literature. The results shown that the different surface properties of the top and bottom layers result in the different size-dependence of the natural frequency from the same surface properties of the nanoplate. This study might be helpful for the design of nanoplate-based resonant micro-biochemical sensors and some related researches.

Keywords:Solid mechanics; Nanoplate; surface effect; dynamic characteristic

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