Improvement of the Delany-Bazley and Miki models for fibrous sound-absorbing materials-2007

Improvement of the Delany-Bazley and Miki models for fibrous sound-absorbing materials-2007

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1、Acoust.Sci.&Tech.29,2(2008)#2008TheAcousticalSocietyofJapanPAPERImprovementoftheDelany-BazleyandMikimodelsforfibroussound-absorbingmaterialsTakeshiKomatsuIndustrialResearchInstituteofShizuokaPrefecture,2078Makigaya,Aoi-ku,Shizuoka,421–1298Japan(Received15January2007,Acceptedforpubli

2、cation23July2007)Abstract:Anewmodelforpredictingtheacousticalpropertiesoffibrousmaterials,thecharacteristicimpedanceZcandthepropagationconstant,onlyfromtheirairflowresistivitywasconstructed.TheDelany-BazleyandMikimodelsarewellknownasconventionalpredictionmethods.Theirformulasaresimila

3、r,andtheirdifferenceisinthevaluesofcoefficientsanddegreesintheformulas.Inthisresearch,theacousticalpropertiesandairflowresistivityoffibrousmaterials,15typesofglasswooland9typesofrockwool,weremeasuredandcomparedwithvaluesobtainedbyconventionalmethodsofprediction.Itwasfoundthattheintroduct

4、ionofanexpressioninvolvingthecommonlogarithmimprovedtheconventionalmodels.Thisnewmodelismoreeffectivethantheconventionalmodels,particularlyforthepredictionforhigh-densityfibrousmaterialswheref=<0:01m3/kgandlow-densityoneswheref=>0:1m3/kg.Keywords:Acousticalproperties,Absorptioncoeffic

5、ients,Characteristicimpedance,Propagationconstant,FibrousmaterialsPACSnumber:43.55.Ev[doi:10.1250/ast.29.121]1.INTRODUCTION2.PREDICTIONEXPRESSIONSDelanyandBazley,andMikihavepresentedexpres-Theacousticalpropertiesofaporoussound-absorbingsionsthatpredicttheacousticalpropertiesofporous

6、sound-material,thatis,thecharacteristicimpedanceZcandtheabsorbingmaterialsonlyfromtheirairflowresistivity[1,2].propagationconstant,canbegivenasthecomplexTheseexpressionsarewidelyappliedtofibrousmaterialsatexpressionsasfollows:present[3–5].Zc¼RþjXð1ÞDelanyandBazleyproposedexpressionsba

7、sedonexperimentaldataobtainedfromglasswoolandrock¼þj ;ð2Þwool.MikiamendedthecoefficientsanddegreestowhereRistherealcomponent,Xistheimaginarysatisfythepositive-realpropertyoftherealandimagi-component,istheattenuationconstantinnepers/mnarypartsoftheseexpressions.Itwasinthe1960s(1neper¼

8、8.686dB),¼!=cisthep

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