Authors: S Sahmani R Ansari
Publish Date: 2011/10/08
Volume: 25, Issue: 9, Pages: 2365-
Abstract
Buckling analysis of nanobeams is investigated using nonlocal continuum beam models of the different classical beam theories namely as EulerBernoulli beam theory EBT Timoshenko beam theory TBT and Levinson beam theory LBT To this end Eringen’s equations of nonlocal elasticity are incorporated into the classical beam theories for buckling of nanobeams with rectangular crosssection In contrast to the classical theories the nonlocal elastic beam models developed here have the capability to predict critical buckling loads that allowing for the inclusion of size effects The values of critical buckling loads corresponding to four commonly used boundary conditions are obtained using statespace method The results are presented for different geometric parameters boundary conditions and values of nonlocal parameter to show the effects of each of them in detail Then the results are fitted with those of molecular dynamics simulations through a nonlinear least square fitting procedure to find the appropriate values of nonlocal parameter for the buckling analysis of nanobeams relevant to each type of nonlocal beam model and boundary conditionsanalysisReza Ansari received his PhD degree in Mechanical Engineering from University of Guilan Iran in 2008 Dr Ansari is currently an associated Professor at the Department of Mechanical Engineering at University of Guilan His research interests include mathematical modeling and analysis of mechanical behavior of engineering structure and smart structures probabilistic analysis and computational nanomechanicsSaeid Sahmani received his BS degree in Mechanical Engineering from University of Guilan Iran in 2006 He then received his MS degree from Iran University of Science and Technology IUST in 2009 He is now continuing his study as PhD student in the research field of nanomechanics
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