DOI: 10.4018/IJMMME.2019040102
International Journal of Manufacturing, Materials, and Mechanical Engineering
Volume 9 • Issue 2 • April-June 2019
Copyright©2019,IGIGlobal.CopyingordistributinginprintorelectronicformswithoutwrittenpermissionofIGIGlobalisprohibited.
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Young’s Modulus and Poisson’s Ratio
Estimation Based on PSO Constriction
Factor Method Parameters Evaluation
George Lucas Dias, Federal University of Lavras, Lavras, Brazil
Ricardo Rodrigues Magalhães, Federal University of Lavras, Lavras, Brazil
Danton Diego Ferreira, Federal University of Lavras, Lavras, Brazil
Bruno Henrique Groenner Barbosa, Federal University of Lavras, Lavras, Brazil
ABSTRACT
Theknowledgeofmaterials’mechanicalpropertiesindesignduringproductdevelopmentphasesis
necessarytoidentifycomponentsandassemblyproblems.Theseareproblemssuchasmechanical
stressesanddeformationswhichnormallycauseplasticdeformation,earlyfatigueorevenfracture.
Thisarticleisaimedtouseparticleswarmoptimization(PSO)andfiniteelementinverseanalysis
todetermineYoung’sModulusandPoisson’sratiofromacantileverbeam,manufacturedinASTM
A36steel,subjectedtoaloadof19.6Nappliedtoitsfreeend.Thecantileverbeamwasmodeled
andsimulatedusingacommercialFEAsoftware.ConstrictionFactorMethod(PSOvariation)was
usedanditsparameterswereanalyzedinordertoimproveerrors.PSOresultsindicatedYoung’s
ModulusandPoisson’sratioerrorsofaround1.9%and0.4%,respectively,whencomparedtothe
originalmaterialproperties.Improvementinthedataconvergenceandareductioninthenumberof
PSOiterationswasobserved.ThisshowsthepotentialityofusingPSOalongwithFiniteElement
InverseAnalysisformechanicalpropertiesevaluation.
KEYwORdS
Constriction Factor Method, Finite Element Method, Mechanical Properties Estimation, Optimization Methods,
Performance Optimization, Robotic Manipulators
INTROdUCTION
Mostofmaterialsinservicearesubjectedtoloads.Inthiscontext,itisnecessarytoknowthematerial’s
mechanicalpropertiestoavoidexcessivedeformations,earlyfatigueorevenfracture.Mechanical
behaviorofmaterialsdependsonitsresponsetotheloadinwhichthematerialissubjected.Some
ofthemainpropertiesthatassociateelasticdeformationwithstressaretheYoung’smodulus,shear
modulus,thermalexpansioncoefficient,andPoisson’sratio(Callister,2007).
Strainandstressdistributionsinmaterialssubjectedtoloadscanbeobtainedthrough
experimentaltechniquesornumericalanalysiswhichdependonspecificmaterialproperties,