Vibration analysis of functionally graded carbon nanotube-reinforced composite nanoplates using Mindlin’s strain gradient theory

2015 ◽  
Vol 134 ◽  
pp. 1036-1043 ◽  
Author(s):  
B. shahriari ◽  
M.R. Karamooz Ravari ◽  
H. Zeighampour
Keyword(s):  
Carbon Nanotube ◽  
Strain Gradient ◽  
Vibration Analysis ◽  
Functionally Graded ◽  
Strain Gradient Theory ◽  
Gradient Theory ◽  
Reinforced Composite ◽  
Mindlin’S Strain Gradient Theory

Nonlinear Forced Vibration Analysis of FG Cylindrical Nanopanels Based on Mindlin’s Strain Gradient Theory and 3D Elasticity

2020 ◽  
Vol 21 (6) ◽  
pp. 523-537 ◽  
Author(s):  
Y. Gholami ◽  
R. Ansari ◽  
R. Gholami ◽  
H. Rouhi
Keyword(s):  
Strain Gradient ◽  
Functionally Graded ◽  
Strain Gradient Theory ◽  
Solution Technique ◽  
Geometrical Parameters ◽  
Gradient Theory ◽  
Harmonic Load ◽  
Response Curves ◽  
Mindlin’S Strain Gradient Theory ◽  
3D Elasticity

AbstractA numerical approach is used herein to study the primary resonant dynamics of functionally graded (FG) cylindrical nanoscale panels taking the strain gradient effects into consideration. The basic relations of the paper are written based upon Mindlin’s strain gradient theory (SGT) and three-dimensional (3D) elasticity. Since the formulation is developed using Mindlin’s SGT, it is possible to reduce it to simpler size-dependent theories including modified forms of couple stress and strain gradient theories (MCST & MSGT). The governing equations is derived and directly discretized via the variational differential quadrature technique. Then, a numerical solution technique is employed to study the nonlinear resonance response of nanopanels with various edge conditions under a harmonic load. The impacts of length scale parameter, material and geometrical parameters on the frequency–response curves of nanopanels are investigated. In addition, comparisons are provided between the predictions of MSGT, MCST and the classical elasticity theory.

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