Application of nonlocal elasticity and DQM to dynamic analysis of curved nanobeams
In this paper, a new numerical technique, the differential quadrature method (DQM) has been developed for dynamic analysis of the nanobeams in the polar coordinate system. DQ approximation of the required partial derivatives is given by a weighted linear sum of the function values at all grid points...
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Marcílio Alves
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doaj-26ea461302c645c3b4f93917661260ae2020-11-25T02:20:58ZengMarcílio AlvesLatin American Journal of Solids and Structures1679-782511584885310.1590/S1679-78252014000500007S1679-78252014000500007Application of nonlocal elasticity and DQM to dynamic analysis of curved nanobeamsHassan Kananipour0Mehdi Ahmadi1Hossein Chavoshi2University of Science and CultureShiraz UniversityUniversity of Science and CultureIn this paper, a new numerical technique, the differential quadrature method (DQM) has been developed for dynamic analysis of the nanobeams in the polar coordinate system. DQ approximation of the required partial derivatives is given by a weighted linear sum of the function values at all grid points. A semicircular arch with small-scale effects is investigated by the nonlocal continuum theory with simply supported boundary conditions. The governing equations for Euler-Bernoulli nonlocal beam models are derived. The expressions of the bending displacement are presented analytically. The convergence properties and the accuracy of the DQM for bending of curved nanobeams are investigated through a number of numerical computations. It can be observed that use of DQM, which is independent of domain discretization to be efficient.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252014000500007&lng=en&tlng=enDQMcurved nanobeammoving particle load |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Hassan Kananipour Mehdi Ahmadi Hossein Chavoshi |
spellingShingle |
Hassan Kananipour Mehdi Ahmadi Hossein Chavoshi Application of nonlocal elasticity and DQM to dynamic analysis of curved nanobeams Latin American Journal of Solids and Structures DQM curved nanobeam moving particle load |
author_facet |
Hassan Kananipour Mehdi Ahmadi Hossein Chavoshi |
author_sort |
Hassan Kananipour |
title |
Application of nonlocal elasticity and DQM to dynamic analysis of curved nanobeams |
title_short |
Application of nonlocal elasticity and DQM to dynamic analysis of curved nanobeams |
title_full |
Application of nonlocal elasticity and DQM to dynamic analysis of curved nanobeams |
title_fullStr |
Application of nonlocal elasticity and DQM to dynamic analysis of curved nanobeams |
title_full_unstemmed |
Application of nonlocal elasticity and DQM to dynamic analysis of curved nanobeams |
title_sort |
application of nonlocal elasticity and dqm to dynamic analysis of curved nanobeams |
publisher |
Marcílio Alves |
series |
Latin American Journal of Solids and Structures |
issn |
1679-7825 |
description |
In this paper, a new numerical technique, the differential quadrature method (DQM) has been developed for dynamic analysis of the nanobeams in the polar coordinate system. DQ approximation of the required partial derivatives is given by a weighted linear sum of the function values at all grid points. A semicircular arch with small-scale effects is investigated by the nonlocal continuum theory with simply supported boundary conditions. The governing equations for Euler-Bernoulli nonlocal beam models are derived. The expressions of the bending displacement are presented analytically. The convergence properties and the accuracy of the DQM for bending of curved nanobeams are investigated through a number of numerical computations. It can be observed that use of DQM, which is independent of domain discretization to be efficient. |
topic |
DQM curved nanobeam moving particle load |
url |
http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252014000500007&lng=en&tlng=en |
work_keys_str_mv |
AT hassankananipour applicationofnonlocalelasticityanddqmtodynamicanalysisofcurvednanobeams AT mehdiahmadi applicationofnonlocalelasticityanddqmtodynamicanalysisofcurvednanobeams AT hosseinchavoshi applicationofnonlocalelasticityanddqmtodynamicanalysisofcurvednanobeams |
_version_ |
1724868529136599040 |