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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Main Authors: Hassan Kananipour, Mehdi Ahmadi, Hossein Chavoshi
Format: Article
Language:English
Published: Marcílio Alves
Series:Latin American Journal of Solids and Structures
Subjects:
DQM
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252014000500007&lng=en&tlng=en
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spelling 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
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