Multilayermaterialshavebeenwidelyus

Multilayermaterialshavebeenwidelyusedasaneffectivesoundattenuationmaterialinareasincludingautomotive
engineering andbuildingacoustics.Thusproperdesignandoptimizationoftheacousticalpropertiesofmultilayer
materialshavebecomeanattractivesubject,andmanytheorieshavebeendeveloped [1–4]. Inrealapplications,inorderto
know theacousticalpropertiesofacertainmultilayermaterialeasilyandrapidly,predictionisoftenneededinsteadof
direct measurement.Inmostcases,feasiblepredictionviaaso-calledtransfermatrixmethodisoftenused [5,6]. This
method isbasedonatheory,whichsaysthattherelationbetweenthepressureandbulkflowoftwoendsofasound
propagatingroutecanbeexpressedbyamatrix.Thetransfermatrixcanbelookeduponasaninherentpropertyofa
materialbecauseofitsinvariance.Ifthetransfermatrixofamaterialisknown,mostoftheacousticalpropertiesofthe
materialcanbeobtained.Becauseofthecontinuityofsoundpressureandvelocity,thematricesofallthecomponentlayers
can becombinedtogetherintoatotalmatrixwhichcanbeusedtopredicttheacousticalpropertiesofmultilayermaterials.
The typeoftransfermatrixisdeterminedbysuchfactorsasphysicalpropertiesofthematerial,boundaryconditions,
selected statevariablesandsoon.Todetermineanappropriatetypeoftransfermatrix,anaccuratemodelofsound
propagation mustbeestablished.Althoughdifferenttypesofmaterialsareinvolved,thisworkaimstomodelnormal
incidence soundpropagationwiththesametypeofmatrix.
Tomeasuretheacousticalpropertiesofacertainmaterial,thereverberationroommethod [7] has beencommonlyused.
Although thismethodprovidesauthoritativetestresults,itisnoteasytouse.Assurancewiththismethodnotonlytakes
time, butalsorequiresraretypesofequipmentsuchasreverberationrooms,highqualitymicrophonesandlarge
specimens. Asanotheroptiontomeasurethenormalincidentacousticalpropertiesofmaterials,thestandingwavetube

ผลลัพธ์ (ไทย) 1:

Multilayermaterialshavebeenwidelyusedasaneffectivesoundattenuationmaterialinareasincludingautomotiveandbuildingacoustics วิศวกรรม Thusproperdesignandoptimizationoftheacousticalpropertiesofmultilayermaterialshavebecomeanattractivesubject, andmanytheorieshavebeendeveloped [1-4] Inrealapplications, inordertoรู้ theacousticalpropertiesofacertainmultilayermaterialeasilyandrapidly, predictionisoftenneededinsteadofวัดโดยตรง Inmostcases, feasiblepredictionviaaso-calledtransfermatrixmethodisoftenused [5,6] นี้วิธีการ isbasedonatheory, whichsaysthattherelationbetweenthepressureandbulkflowoftwoendsofasoundpropagatingroutecanbeexpressedbyamatrix Thetransfermatrixcanbelookeduponasaninherentpropertyofamaterialbecauseofitsinvariance Ifthetransfermatrixofamaterialisknown, mostoftheacousticalpropertiesofthematerialcanbeobtained Becauseofthecontinuityofsoundpressureandvelocity, thematricesofallthecomponentlayersสามารถ becombinedtogetherintoatotalmatrixwhichcanbeusedtopredicttheacousticalpropertiesofmultilayermaterialsTypeoftransfermatrixisdeterminedbysuchfactorsasphysicalpropertiesofthematerial, boundaryconditionsเลือก statevariablesandsoon Todetermineanappropriatetypeoftransfermatrix, anaccuratemodelofsoundmustbeestablished เผยแพร่ Althoughdifferenttypesofmaterialsareinvolved, thisworkaimstomodelnormalเกิด soundpropagationwiththesametypeofmatrixTomeasuretheacousticalpropertiesofacertainmaterial, thereverberationroommethod [7] มี beencommonlyusedแม้ว่า thismethodprovidesauthoritativetestresults, itisnoteasytouse Assurancewiththismethodnotonlytakesเวลา butalsorequiresraretypesofequipmentsuchasreverberationrooms, highqualitymicrophonesandlargeไว้เป็นตัวอย่าง Asanotheroptiontomeasurethenormalincidentacousticalpropertiesofmaterials, thestandingwavetube

ผลลัพธ์ (ไทย) 2:

[1-4] Inrealapplications, inorderto รู้ measurement.Inmostcases, feasiblepredictionviaaso-calledtransfermatrixmethodisoftenused [5,6] ซึ่งวิธีการ statevariablesandsoon.Todetermineanappropriatetypeoftransfermatrix, anaccuratemodelofsound ขยายพันธุ์ mustbeestablished.Althoughdifferenttypesofmaterialsareinvolved, thisworkaimstomodelnormal อุบัติการณ์ [7] ได้ beencommonlyused. แม้ว่า thismethodprovidesauthoritativetestresults, itisnoteasytouse.Assurancewiththismethodnotonlytakes เวลา butalsorequiresraretypesofequipmentsuchasreverberationrooms, highqualitymicrophonesandlarge ตัวอย่าง Asanotheroptiontomeasurethenormalincidentacousticalpropertiesofmaterials, thestandingwavetube

ผลลัพธ์ (ไทย) 3:

multilayermaterialshavebeenwidelyusedasaneffectivesoundattenuationmaterialinareasincludingautomotive
วิศวกรรม andbuildingacoustics . thusproperdesignandoptimizationoftheacousticalpropertiesofmultilayer materialshavebecomeanattractivesubject andmanytheorieshavebeendeveloped
, [ 1 - 1 ] inrealapplications inorderto
theacousticalpropertiesofacertainmultilayermaterialeasilyandrapidly , รู้ ,predictionisoftenneededinsteadof
ตรงวัด inmostcases feasiblepredictionviaaso , calledtransfermatrixmethodisoftenused [ 5 , 6 ] วิธีนี้ isbasedonatheory whichsaysthattherelationbetweenthepressureandbulkflowoftwoendsofasound

,
materialbecauseofitsinvariance.ifthetransfermatrixofamaterialisknown thetransfermatrixcanbelookeduponasaninherentpropertyofa , propagatingroutecanbeexpressedbyamatrix .mostoftheacousticalpropertiesofthe
materialcanbeobtained . becauseofthecontinuityofsoundpressureandvelocity thematricesofallthecomponentlayers สามารถ becombinedtogetherintoatotalmatrixwhichcanbeusedtopredicttheacousticalpropertiesofmultilayermaterials
, .

statevariablesandsoon boundaryconditions typeoftransfermatrixisdeterminedbysuchfactorsasphysicalpropertiesofthematerial , เลือกtodetermineanappropriatetypeoftransfermatrix anaccuratemodelofsound
, การขยายพันธุ์ mustbeestablished . althoughdifferenttypesofmaterialsareinvolved thisworkaimstomodelnormal อุบัติการณ์ soundpropagationwiththesametypeofmatrix
, .
tomeasuretheacousticalpropertiesofacertainmaterial thereverberationroommethod , [ 7 ] มี beencommonlyused .
ถึงแม้ว่า thismethodprovidesauthoritativetestresults itisnoteasytouse , .assurancewiththismethodnotonlytakes
เวลา butalsorequiresraretypesofequipmentsuchasreverberationrooms ตัวอย่าง , highqualitymicrophonesandlarge

asanotheroptiontomeasurethenormalincidentacousticalpropertiesofmaterials thestandingwavetube ,