scholarly journals Imperfection Sensitivity of Nonlinear Vibration of Curved Single-Walled Carbon Nanotubes Based on Nonlocal Timoshenko Beam Theory

Materials ◽  
2016 ◽  
Vol 9 (9) ◽  
pp. 786 ◽  
Author(s):  
Iman Eshraghi ◽  
Seyed Jalali ◽  
Nicola Pugno
Keyword(s):  
Carbon Nanotubes ◽  
Nonlinear Vibration ◽  
Timoshenko Beam ◽  
Beam Theory ◽  
Single Walled Carbon Nanotubes ◽  
Timoshenko Beam Theory ◽  
Imperfection Sensitivity ◽  
Single Walled Carbon ◽  
Nonlocal Timoshenko Beam Theory ◽  
Walled Carbon Nanotubes

The thermal effect on vibration of zigzag single walled carbon nanotubes using nonlocal Timoshenko beam theory

2012 ◽  
Vol 51 (1) ◽  
pp. 252-260 ◽  
Author(s):  
Mohamed Zidour ◽  
Kouider Halim Benrahou ◽  
Abdelwahed Semmah ◽  
Mokhtar Naceri ◽  
Hichem Abdesselem Belhadj ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Thermal Effect ◽  
Timoshenko Beam ◽  
Beam Theory ◽  
Single Walled Carbon Nanotubes ◽  
Timoshenko Beam Theory ◽  
Single Walled Carbon ◽  
Nonlocal Timoshenko Beam Theory ◽  
Walled Carbon Nanotubes

scholarly journals Imperfection Sensitivity of Nonlinear Vibration of Curved Single-Walled Carbon Nanotubes Based on Nonlocal Timoshenko Beam Theory

2016 ◽  
Author(s):  
Iman Eshraghi ◽  
Seyed K. Jalali ◽  
Nicola Maria Pugno
Keyword(s):  
Carbon Nanotubes ◽  
Boundary Conditions ◽  
Nonlinear Vibration ◽  
Single Walled Carbon Nanotubes ◽  
Nonlinear Frequency ◽  
Governing Equations ◽  
Imperfection Sensitivity ◽  
Geometric Imperfection ◽  
Single Walled Carbon ◽  
Walled Carbon Nanotubes

Imperfection sensitivity of large amplitude vibration of curved single-walled carbon nanotubes (SWCNTs) is considered in this study. The SWCNT is modeled as a Timoshenko nano-beam and its curved shape is included as an initial geometric imperfection term in the displacement field. Geometric nonlinearities of von Kármán type and nonlocal elasticity theory of Eringen are employed to derive governing equations of motion of nano-beam. Spatial discretization of governing equations and associated boundary conditions is performed using differential quadrature (DQ) method and the corresponding nonlinear eigenvalue problem is iteratively solved. Effects of value and location of the geometric imperfection, and the nonlocal small-scale parameter on the nonlinear frequency ratio and imperfection sensitivity of a curved SWCNT for various boundary conditions are investigated. The results show that the geometric imperfection plays a significant role in the nonlinear vibration characteristics of curved SWCNTs.

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