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1、MODELOFTHETRUMPETFUCTIONNING:REALTIMESIMULATIONANDEXPERIMENTSWITHANARTIFICIALMOUTHCVergezandXRodetvergez@ircam.fr,rod@ircam.frIRCAM,1placeIgor-Stravinsky,75004PARIS,FRANCEABSTRACTForseveralyears,wehavebeendevelopingandstudyingcomputer-simulatedmodelsofbrassinstruments,includi
2、ngtheplayer'slips.Wedemonstrateherethemostrecentdevelopmentsofourphysicalmodel,includingphysicalfunctioningandreal-timecontrolwithMIDIevents.Theseimprovementsresultingreatimprovementsofsoundqualityandmusicalexpressivity.Tobetterunderstandthephysicsofreallips,wehavebuiltaworki
3、nglatexmodelofapairoflips.Weshowthatthisarti cialmouthcanplayatrumpetlikearealtrumpetplayer.Wemakecomparisonsbetweennaturallyblowntrumpetsignals,arti cially-blowntrumpetsignals,andsimulationswithourcomputermodel.1.IntroductionInRodet[1],weexplainedanddemonstratedasimplereal-t
4、imemodeloftrumpet-likeinstru-ments.Theaimwasto ndthesimpleststructurewhichwouldexhibitthebasicpropertiesofthisclassofinstruments.InRodet[2],weshowedthatitispossibletopredictthebehaviorofasimpletrumpetmodelbyapplyingtheHopftheoremtothenonlineardynamicalsystemformedbythemodel.I
5、nthepresentpaper,wedescribethemostrecentimprovementstoourreal-timephysicalmodel.Theboreisrepresentedbyare
ectionfunctioncomputedfromatrumpetinputimpedancewhichwehavemeasured.Weproposeseveralsimpli cationsofthere
ectionfunctionaimedatdecreasingthecomputationalcostofthesimulati
6、on.Moreover,itallowsalowcostimplementationofvalvesaswellasofaslide.Wealsoproposeaclosuremodelofthelips.Thereal-timesimulationsystem,andtheplayinginterfacewhichwehavebuilt,allowthemusiciantoplaythemodelinaveryexpressiveandintuitiveway.Comparedtothebasicmodelwhichwasstudiedinth
7、escopeoftheHopftheorem(cf.Rodet[2]),thepresentmodelpossessesaverysimilardynamicalstructure.ThereforethestabilityresultsobtainedinRodet[2]arestillguaranteedwiththeimprovedmodel.Anotheraspectofourresearchconcernsthebuildingofalatexmodelofthelips.Thelipsareinsertedinasteelmouths
8、uppliedwithpressuredair.Byvaryingthelips'characteristics,weshowthatt
