简介:Inthispaper,anewresult,newformulasoftransferfunctionandinputimpedancefor2-Ddissipativereactancenetworkcascadesynthesisisgivenintermsofsimplifiedformulastorealizedoublyterminatedresistively1-Ddissipativereactancenetworks.Thenewresultincludesthemoregeneralcases,e.g.thebothcanbedissipativeoroneisdissipativeandtheanotherisalosslessreactancesubnetworkandsoon.Twocalculationexamplesaregiveninthepapertoillustratetheaboverealizations.Besides,consideringsomeproblemsofthedirectconnectionbetweentwosubnetworks,wealsointroduceone-waylinestodiscussthecascadesynthesisofnonreciprocal2-Ddissipativereactancenetworks.
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简介:Astochastictwo-dimensionalFornasini-Marchesini'sModelⅡ(2-DFMMⅡ)withmultiplicativenoiseisgiven,andafilteringalgorithmforthismodel,whichisoptimalinthesenseoflinearminimum-variance,isdeveloped.Thestochastic2-DFMMⅡwithmultiplicativenoisecanbereducedtoa1-Dmodel,andtheproposedoptimalfilteringalgorithmforthestochastic2-DFMMⅡwithmultiplicativenoiseisobtainedbyusingthestateestimationtheoryof1-Dsystems.Anexampleisgiventoillustratethevalidityofthisalgorithm.
简介:Theboundaryelementmethodisusedforthemodalanalysisoffreevibrationof2-Dcompositestructuresinthispaper.Sincetheparticularsolutionmethodisusedtotreatthetermsofbodyforces(inertialforces)intheequationofmotion,onlystaticfundamentalsolutionsareneededinsolvingtheproblem.Foranisotropiccantileverbeam,thenumericalresultsobtainedbyusingtheBEMpresentedinthispaperareingoodagreement,withthoseofusingFEMorotherBEM,butthisBEMcanalsobeusedtoanalyzeproblemsforanisotropicmaterials.Forsimplysupportedcompositelaminatedbeams,thecomparisonsofthenumericalresultsobtainedbythismethodwiththeanalyticalresultsobtainedby1-Dlaminatedbeamtheoryindicatethatiftheratiooflength/thicknessisgreaterthan20,theresultsofthetwomethodsareingoodagreement,butiftheratiooflength/thicknessislessthan20,bigerrorswilloccurfor1-Dlaminatedbeamtheory.
简介:AfiniteelementmethodforthesolutionofOseenequationinexteriordomainisproposed.Inthismethod,acircularartificialboundaryisintroducedtomakethecomputationaldomainfinite.Then,theexactrelationbetweenthenormalstressandtheprescribedvelocityfieldontheartificialboundarycanbeobtainedanalytically.Thisrelationcanserveasanboundaryconditionfortheboundaryvalueproblemdefinedonthefinitedomainboundedbytheartificialboundary.Numericalexperimentispresentedtodemonstratetheperformanceofthemethod.
简介:Inthispaper,ahorizontal2-Dnumericalmodelhasbeendevelopedtosimulateflowprocessesindikeburst.Thefinitedifferencemethodisusedincomputation.Themodelemploys2-Dflowequationsandcansimulatecomplexflowswhensupercriticalflowandsub-criticalflowexistsimultaneouslysuchashydraulicjumps.Severalsimulatedresultsareworkedouttodemonstratetheapplicabilityofthenumericalmodel,suchasfloodpropagationonadrybedofacomplexterrain.
简介:TheproblemsofcharacteristicpolynomialassignmentinFomasini-Marchesini(F-M)modelⅡof2-Dsystemsareinvestigated.Thecorrespondingclosed-loopsystemsdescribedbyF-MmodelIIareobtainedviathestatefeedback.Usingthealgebraicgeometrymethod,thecharacteristicpolynomialassignmentinthedosed-loopsystemsisdiscussed.Intermsofthetheoryofalgebraicgeometry,theproblemofcharacteristicpolynomialassignmentistransferredtotheonewhetherarationalmappingisonto.SufficientconditionsforalmostarbitraryassignmentcoefficientsofcharacteristicpolynomialinF-MmodelⅡof2-Dsystemsviastatefeedbackarederived,andtheyareavailableformulti-inputcases.Italsohasbeenshownthatthismethodcanbeappliedtoassignthecharacteristicpolynomialwithoutputfeedback.Thesufficientconditionsforalmostarbitraryassignmentcoefficientsofcharacteristicpolynomialofmulti-input2-DsystemsdescribedbyF-MmodelⅡwithoutputfeedbackareestablished.
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简介:Itisrevealedthatthedynamicstabilityof2-Drecursivecontinuous-discretesystemswithintervalparametersinvolvestheproblemofrobustHurwitz-Schurstabilityofbivariatepolynomialsfamily.ItisprovedthattheHurwitz-Schurstabilityofthedenominatorpolynomialsofthesystemsisnecessaryandsufficientfortheasymptoticstabilityofthe2-Dhybridsystems.The2-Dhybridtransformation,i.e.2-DLaplace-Ztransformation,hasbeenproposedtosolvethestabilityanalysisofthe2-Dcontinuous-discretesystems,togetthe2-Dhybridtransferfunctionsofthesystems.TheedgetestfortheHurwitz-Schurstabilityofintervalbivariatepolynomialsisintroduced.TheHurwitz-Schurstabilityoftheintervalfamilyof2-Dpolynomialscanbeguaranteedbythestabilityofitsfiniteedgepolynomialsofthefamily.Analgorithmaboutthestabilitytestofedgepolynomialsisgiven.
简介:THE2-DNUMERICALSTUDYONTHEPRINCIPLESOFRAIN-ENHANCEMENTANDHAIL-SUPPRESSIONINCONVECTIVECLOUDSMaoYuhua(毛玉华)andHuZhijin(胡志晋)THE2-D...