Title : ( Free vibration of a nanogrid based on Eringen’s stress gradient model )
Authors: Seyed Mojtaba Hozhabrossadati , Noel Challamel , Mohaamad Rezaiee Pajand , Ahmad Aftabi Sani ,Access to full-text not allowed by authors
Abstract
This article deals with the free vibration analysis of a two-member nanogrid. First, the governing differential equations of flexural and torsional vibrations are found based on nonlocal elasticity theory. Second, the problem under study is formulated, considering the interaction of bending and torsion by direct method. It contains four partial differential equations and twelve boundary and compatibility conditions. Third, the problem is derived by using the variational method. Fourth, the problem at hand is analytically solved and natural frequencies of the structure are obtained. Finally, a finite element solution is developed for the problem at hand. A two-node six-degree-of-freedom nanogrid element is introduced. Comparison of both exact and numerical results shows an excellent agreement between findings via both methods. Findings can be served as benchmarks for future researchers.
Keywords
, Free vibration; nanogrid; Eringen’s differential nonlocal elasticity law; bending, torsion coupling; exact solution; finite element solution@article{paperid:1082756,
author = {Seyed Mojtaba Hozhabrossadati and Noel Challamel and Rezaiee Pajand, Mohaamad and Aftabi Sani, Ahmad},
title = {Free vibration of a nanogrid based on Eringen’s stress gradient model},
journal = {Mechanics Based Design of Structures and Machines},
year = {2020},
volume = {50},
number = {2},
month = {February},
issn = {1539-7734},
pages = {537--555},
numpages = {18},
keywords = {Free vibration; nanogrid; Eringen’s differential nonlocal elasticity law; bending-torsion coupling; exact solution; finite element solution},
}
%0 Journal Article
%T Free vibration of a nanogrid based on Eringen’s stress gradient model
%A Seyed Mojtaba Hozhabrossadati
%A Noel Challamel
%A Rezaiee Pajand, Mohaamad
%A Aftabi Sani, Ahmad
%J Mechanics Based Design of Structures and Machines
%@ 1539-7734
%D 2020