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The dynamic excitation of a granular chain for biomedical ultrasound applications: contact mechanics finite element analysis and validation

机译:用于生物医学超声应用的颗粒链的动态激发:接触力学有限元分析和验证

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摘要

Therehasbeenrecentinterestinthetransmissionofacousticsignalsalonggranularchainsofsphericalbeadstoproducewaveformsofrelevancetobiomedicalultrasoundapplications.Hertziancontactbetweenadjacentbeadscanintroducedifferentharmoniccontentintothesignalasitpropagates.Thistransductionmechanismhasthepotentialtobeofuseinbothdiagnosticandtherapeuticultrasoundapplications,andistheobjectofthestudypresentedhere.Althoughdiscretedynamicsmodelsofthisbehaviourexist,amorecomprehensivesolutionmustbesoughtifchangesinshapeanddeformationofindividualbeadsaretobeconsidered.Thus,thefiniteelementmethodwasusedtoinvestigatethedynamicsofagranularchainofsix,1mmdiameterchromesteelsphericalbeadsexcitedatoneendusingasinusoidaldisplacementsignalat73kHz.Outputfromthismodelwascomparedwiththesolutionprovidedbythediscretedynamicsmodel,andgoodoverallagreementobtained.Inaddition,itwasabletoresolvethecomplexdynamicsofthegranularchain,includingthemultiplecollisionswhichoccur.Itwasdemonstratedthatunderdynamicexcitationconditions,theinabilityofdiscretemechanicsmodelstoaccountforelasticdeformationofthebeadswhentheselosecontact,couldleadtodiscrepancieswithexperimentalobservations...
机译:Therehasbeenrecentinterestinthetransmissionofacousticsignalsalonggranularchainsofsphericalbeadstoproducewaveformsofrelevancetobiomedicalultrasoundapplications.Hertziancontactbetweenadjacentbeadscanintroducedifferentharmoniccontentintothesignalasitpropagates.Thistransductionmechanismhasthepotentialtobeofuseinbothdiagnosticandtherapeuticultrasoundapplications,andistheobjectofthestudypresentedhere.Althoughdiscretedynamicsmodelsofthisbehaviourexist,amorecomprehensivesolutionmustbesoughtifchangesinshapeanddeformationofindividualbeadsaretobeconsidered.Thus,thefiniteelementmethodwasusedtoinvestigatethedynamicsofagranularchainofsix,1mmdiameterchromesteelsphericalbeadsexcitedatoneendusingasinusoidaldisplacementsignalat73kHz.Outputfromthismodelwascomparedwiththesolutionprovidedbythediscretedynamicsmodel,andgoodoverallagreementobtained.Inaddition,itwasabletoresolvethecomplexdynamicsofthegranularchain,includingthemultiplecollisionswhichoccur.Itwasdemonstratedthatunderdynamicexcitationconditions,日离散的力学模型的可预测性,考虑到小接触时小珠的弹性变形,可能导致实验观察的差异...

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