Dynamic stability and instability of nanobeams based on the higher-order nonlocal strain gradient theory

2019 ◽  
Vol 72 (2) ◽  
pp. 157-178 ◽  
Author(s):  
Ivan R Pavlović ◽  
Ratko Pavlović ◽  
Goran Janevski
Keyword(s):  
Dynamic Stability ◽  
Strain Gradient ◽  
Higher Order ◽  
Strain Gradient Theory ◽  
Gradient Theory ◽  
Nonlocal Strain Gradient Theory ◽  
Stability And Instability ◽  
Nonlocal Strain Gradient

Porosity-dependent vibration and dynamic stability of compositionally gradient nanofilms using nonlocal strain gradient theory

2017 ◽  
Vol 232 (17) ◽  
pp. 3144-3155 ◽  
Author(s):  
Mohammad Reza Barati
Keyword(s):  
Dynamic Stability ◽  
Strain Gradient ◽  
Functionally Graded ◽  
Strain Gradient Theory ◽  
Load Parameter ◽  
Gradient Theory ◽  
Vibration Frequencies ◽  
Stability Regions ◽  
Nonlocal Strain Gradient Theory ◽  
Nonlocal Strain Gradient

Porosity-dependent free vibration and dynamic stability of functionally graded nanofilms are studied according to the nonlocal strain gradient theory. Two-scale coefficients are considered to incorporate both nonlocality and strain gradient impacts. The nanofilm is subjected to in-plane hygro-thermal and harmonic mechanical loads. Uniform dispersion of porosities is considered according to a power-law model for functionally graded materials. Galerkin's approach is employed to obtain the vibration frequencies as well as stability regions. One can see that stability regions and vibration frequencies of a functionally graded nanofilm are significantly affected by static load parameter, dynamic load parameter, porosities, moisture change, temperature change, and elastic substrate nonlocal strain gradient coefficients.

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