Techno Press
Techno Press

Coupled Systems Mechanics   Volume 5, Number 3, September 2016, pages 255-267
DOI: http://dx.doi.org/10.12989/csm.2017.5.3.255
 
Dynamic modeling of embedded curved nanobeams incorporating surface effects
Farzad Ebrahimi and Mohsen Daman

 
Abstract     [Full Text]
    To investigate the surface effects on vibration of embedded circular curved nanosize beams, nonlocal elasticity model is used in combination with surface properties including surface elasticity, surface tension and surface density for modeling the nano scale effect. The governing equations are determined via the energy method. An-alytically Navier method is utilized to solve the governing equations for simply supported at both ends. Solving these equations enables us to estimate the natural frequency for circular curved nanobeam including Winkler and Pasternak elastic foundations. The results determined are verified by comparing the results by available ones in literature. The effects of various parameters such as nonlocal parameter, surface properties, Winkler and Pasternak elastic foundations and opening angle of circular curved nanobeam on the natural frequency are suc-cessfully studied. The results reveal that the natural frequency of circular curved nanobeam is significantly in-fluenced by these effects.
 
Key Words
    vibration; curved nanobeam; surface effects; elastic foundation
 
Address
Farzad Ebrahimi and Mohsen Daman: Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran
 

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