简介:Tosolvethecoupledvibrationofagravitydam-reservoirsystemwithvariablewaterdepthbyusingahybridelementmethod,thefluidregionwithvariablewaterdepthneedstobedis-cretizedbyFEmeshes.However,suchamethodasksforagreatcomputationalcostowingtotheex-cessiveunknowns,especiallywhenthefluidregionwithvariablewaterdepthisrelativelylarge.Toovercometheshortcoming,arefinedboundaryelementmethodisproposedtoanalyzethefluidfield,inwhichonlythediscretizationfortheboundaryofthevariabledepthregionisrequired.Butasabasisofthisapproach,itisnecessarytoconstructanewGreen’sfunctioncorrespondingtoaninfinitestripregion.TheproblemissolvedasthefirststepinthispaperbyemployingFridman’soperatorfunctiontheory,andthenamixedFE-BEformulationforanalyzingthefreevibrationofthegravitydam-reservoirsystemisderivedbymeansofthecouplingconditionsonthedam-reservoirinterface.Final-ly,anumericalexampleisprovidedtoillustrateagreatimprovementofthemethoddevelopedhereinoverthehybridelementmethod.
简介:Inthepaper,thenonlinearmagnetoelasticpropertiesofcompositionTb0.27Dy0.73Fe1.95<110>orientedpolycrystallinealloysareinvestigatedundercoupledloadsofhighmagneticfieldandcompressivestress.Themagnetizationandmagnetostrictionaremeasuredsimultaneouslyunderappliedmagneticfieldfrom800to800kA/mandcompressivestressfrom0to25MPaatroomtemperature.Thestraincoefcientandrelativepermeabilityareobtainedbydiferentialcalculationfromtheexperimentalcurves.Theresultsshowthatthevaluesofsaturationmagnetization(Ms)underdiferentcompressivestressesremaininvariablyconstantintheregionofthehighmagneticfield.Thesaturationmagnetostriction(λs)increaseswithincreasingcompressivestressandreaches1680×106under25MPa.Accordingtotheincreaseofthecompressivestress,thehystereticloopareaofmagnetizationandmagnetostrictionincreases,whilethemaximumrelativepermeabilityandstraincoefcientdecrease.Additionally,theinfluenceofthebiasmagneticfieldonthemechanicalpropertyistakenintoaccount.Thestress-strainrelationshipisnonlinearandsensitivetotheappliedexternalmagneticfieldsalongtheaxisofrod.Theresultsobtainedareausefulcomplementtotheexistingexperimentsfortheoreticalapproachesandengineeringapplications.