scholarly journals Dynamic instability and bifurcation of electrically actuated circular nanoplate considering surface behavior and small scale effect

2017 ◽  
Vol 126 ◽  
pp. 12-23 ◽  
Author(s):  
W.D. Yang ◽  
F.P. Yang ◽  
X. Wang
2012 ◽  
Vol 101 (9) ◽  
pp. 093109 ◽  
Author(s):  
Jin Zhang ◽  
Chengyuan Wang ◽  
Rajib Chowdhury ◽  
Sondipon Adhikari

2013 ◽  
Vol 275-277 ◽  
pp. 33-37
Author(s):  
Ming Li ◽  
Hui Ming Zheng ◽  
Luo Xia ◽  
Liu Yang

In this paper, the boundary condition on free vibration of cantilever single-walled carbon nanotubes (SWCNTs) with Winkler elastic medium is investigated. The Euler beam theory with nonlocal elasticity is modeled as SWCNT. The analytical solution is derived and the numerical results show that the additional boundary conditions from small scale do not change natural frequencies. The reason is that the additional work made by the moment and shear force at the free end from small scale effect cancel each other, the boundary conditions due to local elasticity and nonlocal elasticity are also equivalent. Thus for simplicity, one can apply the local boundary condition to replace the small scale boundary condition.


2013 ◽  
Vol 105 ◽  
pp. 163-172 ◽  
Author(s):  
Ebraheem O. Alzahrani ◽  
Ashraf M. Zenkour ◽  
Mohammed Sobhy

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