Title : ( Computing the structural buckling limit load by using dynamic relaxation method )
Authors: Mohaamad Rezaiee Pajand , Hossein Estiri ,
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Abstract
The numericalstructuralanalysisschemesareextensivelydevelopedbyprogressofmoderncomputer processing power.Oneoftheseapproximateapproachesiscalled"dynamicrelaxation(DR)method." This techniqueexplicitlysolvesthesimultaneoussystemofequations.Foranalyzingthestaticstructures, the DRstrategytransfersthegoverningequationstothedynamicspace.Byaddingthe fictitious damping and masstothestaticequilibriumequations,thecorrespondingartificial dynamicsystemisachieved. The staticequilibriumpathisrequiredinordertoinvestigatethestructuralstabilitybehavior.Thispath showstherelationshipbetweentheloadsandthedisplacements.Inthisway,thecriticalpointsand buckling loadsofthenon-linearstructurescanbeobtained.Thecorrespondingloadtothe first limit point isknownasbucklinglimitload.Forestimatingthebucklingload,thevariableloadfactorisusedin the DRprocess.Anewprocedurefor finding theloadfactorispresentedbyimposingtheworkincrement of theexternalforcestozero.Theproposedformulaonlyrequiresthe fictitious parametersoftheDR scheme. Toprovetheefficiency androbustnessofthesuggestedalgorithm,variousgeometricnon-linear analysesareperformed.Theobtainedresultsdemonstratethatthenewmethodcansuccessfullyesti- mate thebucklinglimitloadofstructures.
Keywords
, Dynamic relaxation, Buckling limitload, Load factor, Equilibriumpath, Fictitious parameters
@article{paperid:1057718,
author = {Rezaiee Pajand, Mohaamad and Estiri, Hossein},
title = {Computing the structural buckling limit load by using dynamic relaxation method},
journal = {International Journal of Non-Linear Mechanics},
year = {2016},
volume = {81},
number = {1},
month = {February},
issn = {0020-7462},
pages = {245--260},
numpages = {15},
keywords = {Dynamic relaxation;Buckling limitload;Load factor;Equilibriumpath;Fictitious parameters},
}
%0 Journal Article
%T Computing the structural buckling limit load by using dynamic relaxation method
%A Rezaiee Pajand, Mohaamad
%A Estiri, Hossein
%J International Journal of Non-Linear Mechanics
%@ 0020-7462
%D 2016
