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free-vibration-frequency
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Assessment of the resonance frequency of cantilever carbon nanocones using molecular dynamics simulation
, Article Applied Physics Letters ; Volume 100, Issue 17 , 2012 ; 00036951 (ISSN) ; Amini, H ; Hosseinian, A. R ; Sharif University of Technology
2012
Abstract
The resonance frequencies of cantilever carbon nanocones (CNCs) up to 4 nm in height are determined using molecular dynamics simulation based on adaptive intermolecular reactive empirical bond order potential. The frequency content of the free vibrations of CNCs under a lateral initial excitation at the tip is analyzed using fast Fourier transformation, and the resonance frequencies are obtained. The results are reported for various samples to investigate the dependency of the resonance frequency to the geometrical parameters and temperature of CNCs
Thermal buckling analysis of bridged single walled carbon nanotubes using molecular structural mechanics
, Article Journal of Applied Physics ; Volume 117, Issue 11 , 2015 ; 00218979 (ISSN) ; Badri Kouhi, E ; Sharif University of Technology
American Institute of Physics Inc
2015
Abstract
This paper is concerned with the stability analysis of bridged single walled carbon nanotubes (SWCNT) under temperature changes. A molecular structural mechanics model is utilized to investigate the free vibration frequencies and thermal buckling of SWCNT. In comparison with most of the previous studies, a temperature-variable thermal-expansion-coefficient is used that is negative under a certain temperature. Also thermal variation of Young's modulus of the CNTs is considered. Several studies are performed to investigate the critical temperature change due to heating and cooling of SWCNTs with different chiralities and slenderness ratios and the stability boundaries are determined
Thermo-mechanical vibration of rotating axially functionally graded nonlocal Timoshenko beam
, Article Applied Physics A: Materials Science and Processing ; Volume 123, Issue 1 , 2017 ; 09478396 (ISSN) ; Mirjavadi, S. S ; Shafiei, N ; Hamouda, A. M. S ; Sharif University of Technology
Springer Verlag
2017
Abstract
The free vibration analysis of rotating axially functionally graded nanobeams under an in-plane nonlinear thermal loading is provided for the first time in this paper. The formulations are based on Timoshenko beam theory through Hamilton’s principle. The small-scale effect has been considered using the nonlocal Eringen’s elasticity theory. Then, the governing equations are solved by generalized differential quadrature method. It is supposed that the thermal distribution is considered as nonlinear, material properties are temperature dependent, and the power-law form is the basis of the variation of the material properties through the axial of beam. Free vibration frequencies obtained are...