Nonlocal thermoelasticity: Transient heat conduction effects on the linear and nonlinear vibration of single-walled carbon nanotubes

2021 ◽  
pp. 1-17
Author(s):  
Amin Pourasghar ◽  
Wenzhi Yang ◽  
John Brigham ◽  
Zengtao Chen
Keyword(s):  
Carbon Nanotubes ◽  
Heat Conduction ◽  
Nonlinear Vibration ◽  
Single Walled Carbon Nanotubes ◽  
Transient Heat Conduction ◽  
Single Walled Carbon ◽  
Linear And Nonlinear ◽  
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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