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DearEditor-in-ChiefandtheAssociateEditor,Thanksalotforyourhelpfulcommentsonourmanuscript.Nowwearesubmittingthisrevisedversionafterincorporatingreviewer’scommentsandmakingimprovements.Yourssincerely,KobeBryantDearReviewers,Wewouldliketoexpressoursincereappreciationforyourcarefulreadingandinvaluablecommentstoimprovethispaper.Wehaveaddressedallissuesraisedbethereviewer.Theamendmentsmadearementionedbelowwithreferencetoappropriateparagraphsandsectionsoftherevisedmanuscript.ResponsetoReviewer#1[Comment1]VeryGoodeffortsaredoneforexperimentalsetup.[Answer]Thankyouforyourencouragementoftheresearch.[Comment2]HowaretheTheoreticalmodesshapesarecalculatedandpresentedinFig.2-4.[Answer]WehaveaddedthetheoreticaltransversemodeshapefunctionofafreeparaboloidalmembraneshellinSection3.1onpage8.Thisassumedmodeshapefunctionwasobtainedandvalidatedinourpreviousstudyanddetailscouldbefoundinref.[27].Withthistheoreticalmodeshapefunction,onecanachievethetheoreticalmodeshapesoftheparaboloidalshellinFig.2-4.------Inapreviousstudyofafreeparaboloidalshell,withexperienced“trail-and-error”andverification,anewtransversemodeshapefunctionofaparaboloidalmembraneshellwithfreeboundaryconditionhasbeenderived[27]31cossincoskkkUAkk(8)wherethemodenumberk=1,2,3…,Akisthekthmodalamplitude,ϕisthemeridionalanglemeasuredfromthepole,andψisthecircumferentialangle.[Comment3]FromTable4,SuppressionratioforFirstmodeitis63.9%andforSecondmodeitis17%,alongwithcomplexityofunpredictednonlinearbehaviors,systemuncertainties,modelimperfectionsisitpositionofactuatorsalsomatters,discuss[Answer]Wehaveaddedaparagraphtodiscussthisphenomenononpage17.--------Table4indicatesthatthesuppressionratioofthefirstordermodeismoresignificantthanthatofthesecondmode.Thisisqualitativelyconsistentwiththetheoreticalresultsobtainedinapreviousstudythattheactuatorcontroleffectgraduallydecreasesathighermodessincetheinherentmembraneeffectdiminishesasthemodeincreases[27].Furthermore,sincethesensorandactuatorchoseninthisexperimentisneartheexcitationposition,accordingtoFig.2andFig.3,vibrationamplitudeofthefirstmodeislargerthanthatofthesecondmodeatthatpoint.Thiscouldalsocontributetothesuppressiondifferencebetweenthetwomodes.Also,thesuppressionratiocouldbeinfluencedbytheselectionofthecontrolparametersandthecomplexityofunpredictednonlinearbehaviors,systemuncertainties,modelimperfections,etc.oftheparaboloidalshellsystem.[Comment4]AnystudydoneondifferentgainsotherthanKsen=20andKact=50(PageNo.11,lastpara)[Answer]Accordingtothematerialproperties(seeAppendix)ofthePVDFusedinthisexperiment,weobtaintheKsen=20andKact=50byparameteridentificationfirstly.Thatistosay,thesescalegainsarethemostappropriateforthiskindofPVDFpatches.Therefore,wedidnotcarryoutotherexperimentsondifferentgainsinthispaper.[Comment5]Thesensorvoltagesareverylow,isitpracticallypossibletogetactuationvoltageinspace[Answer]Thankyouforyouradvice.ThesensingvoltageofaPVDFpatchisusuallylowandshouldbeamplifiedbeforeenteringthecontroller.However,thissensingsignalisonlyusedtomirrorthevibrationamplitudeoftheshellatcertainposition.TheactuationvoltageforaPVDFactuatorwouldbehundredsofvoltsandthisdrivingvoltagecanbesuppliedbyhigh-proportionvoltageamplifiermodulestodaywhichispracticalforspaceuse.Additionally,somelowervoltage(100V-150V)drivingpiezoelectricmaterialshavebeenwidelyusedinstructuredynamiccontrolandthesematerialsmayalsobeusedinspaceinthefuture.Thankyouagainforyourcommentsandwelookforwardtohearingfromyouregardingoursubmission.Wewouldbegladtorespondtoanyfurtherquestionsandcommentsthatyoumayhave.Yourssincerely,KobeBryant

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