Sandwich beam model for free vibration analysis of bilayer graphene nanoribbons with interlayer shear effect

2014 ◽  
Vol 115 (17) ◽  
pp. 174303 ◽  
Author(s):  
Reza Nazemnezhad ◽  
Hassan Shokrollahi ◽  
Shahrokh Hosseini-Hashemi
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Graphene Nanoribbons ◽  
Sandwich Beam ◽  
Free Vibration Analysis ◽  
Bilayer Graphene ◽  
Beam Model ◽  
Shear Effect ◽  
Interlayer Shear

Free vibration analysis of a debonded curved sandwich beam

2016 ◽  
Vol 57 ◽  
pp. 71-84 ◽  
Author(s):  
Ebrahim Sadeghpour ◽  
Mojtaba Sadighi ◽  
Abdolreza Ohadi
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Sandwich Beam ◽  
Free Vibration Analysis

An Analytical Solution for Free Vibration of Piezoelectric Nanobeams Based on a Nonlocal Elasticity Theory

2015 ◽  
Vol 32 (2) ◽  
pp. 143-151 ◽  
Author(s):  
A. A. Jandaghian ◽  
O. Rahmani
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Nonlocal Parameter ◽  
Free Vibration Analysis ◽  
Nonlocal Elasticity Theory ◽  
Nonlocal Theory ◽  
Beam Model ◽  
Euler Beam ◽  
Charge Condition ◽  
Thin Beam

ABSTRACTIn the present study, an exact solution for free vibration analysis of piezoelectric nanobeams based on the nonlocal theory is obtained. The Euler beam model for a long and thin beam structure is employed, together with the electric potential satisfying the surface free charge condition for free vibration analysis. The governing equations and the boundary conditions are derived using Hamilton's principle. These equations are solved analytically for the vibration frequencies of beams with various end conditions. The model has been verified with the previously published works and found a good agreement with them. A detailed parametric study is conducted to discuss the influences of the nonlocal parameter, on the vibration characteristics of piezoelectric nanobeams. The exact vibration solutions should serve as benchmark results for verifying numerically obtained solutions based on other beam models and solution techniques.

Sign in / Sign up

Export Citation Format

Share Document