A general nonlocal stress-strain gradient theory for forced vibration analysis of heterogeneous porous nanoplates

2018 ◽  
Vol 67 ◽  
pp. 215-230 ◽  
Author(s):  
Mohammad Reza Barati
Keyword(s):  
Strain Gradient ◽  
Forced Vibration ◽  
Vibration Analysis ◽  
Strain Gradient Theory ◽  
Gradient Theory ◽  
Stress Strain ◽  
Nonlocal Stress ◽  
Forced Vibration Analysis

Forced vibration of porous functionally graded nanoplates under uniform dynamic load using general nonlocal stress–strain gradient theory

2017 ◽  
Vol 24 (20) ◽  
pp. 4700-4715 ◽  
Author(s):  
Mohammad Reza Barati ◽  
Hossein Shahverdi
Keyword(s):  
Strain Gradient ◽  
Dynamic Load ◽  
Forced Vibration ◽  
Vibration Analysis ◽  
Nonlocal Parameter ◽  
Functionally Graded ◽  
Strain Gradient Theory ◽  
Gradient Theory ◽  
Resonance Frequencies ◽  
Forced Vibration Analysis

Forced vibration analysis of porous functionally graded nanoplates under uniform dynamic loads is performed based on generalized nonlocal strain gradient theory. In this model, both stiffness-softening and stiffness-hardening effects are considered for more reliable forced vibration analysis of nanoplates. The present model is based on a vibrating higher order nanoscale plate subjected to transverse uniform dynamic load. Nanopores or nanovoids are incorporated to the model based on a modified rule of mixture. According to t Hamilton’s principle, the formulation of dynamically loaded nanoplate is derived. Applying Galerkin’s method, the resonance frequencies and dynamic deflections are obtained. It is indicated that the forced vibration characteristics of the nanoplate are significantly influenced by the porosities, excitation frequency, nonlocal parameter, strain gradient parameter, material gradation, elastic foundation and dynamic load location.

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