简介:Thechaotictransientsofacurvedfluidconveyingtubesubjectedtoanonlinearfoundationareinvestigated.TheassumptionoftheinextensibilityofthetubeisappliedtoderivethenonlineardifferentialequationofmotionviatheNewtonianapproach,withthedifferentialquadraturemethodusedtodiscretizethecurvedtubemodelinthespatialdomain.Andthenonlineardynamicmotionequationisobtained.Thenumericalanalysisshowsthat,thefinalsteadystatesaresensitivetotheinitialsystemconditionsinalargeparameterregionofthefluidspeed.Thisphenomenonofchaotictransientsisinfrequentforfluidconveyingtubes.
简介:Basedontheformerresearchworkoftheauthors,theresistanceofdifferentsolidparticlesuspensionflowinaverticalpipeisanalysed,andinvestigatedexperimentally.Theapplicableformulasofpressuredroparepresented.Twotypesofpar-ticles,talcumpowderandglassbeads,areconvcyedinthetestwhichhasbeencarriedoutatvariousairvclocitiesof10to28m/sandattheratioofsolids-airmassflowraterangedfrom0to2.Theexperimentalresultsshowagoodagreementwiththecalculatedones.
简介:Absorptionofacousticnanowaveinspecificfrequencyregionisimportantforthedesignofacousticfilter.Thispaperputsforwardametamaterialmodelmadeupoffluid-conveyingcarbonnanotubes(CNT),whichcanabsorbacousticnanowaveinagivenfrequencyrangebyadjustingthelengthsandfluidvelocitiesofthemselves.Absorptioncoefficientsarecalculatedoutthroughthecombinationofthefiniteelementmethodwiththetheoreticalmodel,whichare0.4~0.55relatingtodifferentfluidvelocitiesforthecrossing-distributedmodel.Comparisonsaremadebetweenthecrossedmodelandthealignedone,whichprovethattheCNTforestwithcrosseddistributionismoreeffectiveinacousticwaveabsorption.
简介:
简介:Ananalyticalmodelisdevelopedtostudythesurfaceeffectsonthevibrationbehaviorincludingthenaturalfrequencyandthecriticalflowvelocityoffluid-conveyingnanotubesembeddedinanelasticmedium.TheeffectsofsurfaceelasticityandresidualsurfacestressareaccountedthroughthesurfaceelasticitymodelandtheYoung-Laplaceequation.AWinkler-typefoundationisemployedtomodeltheinteractionofnanotubesandthesurroundingmedium.Theresultsshowthatthesurfaceeffectshavemoreprominentinfluencesonthenaturefrequencywithsmallernanotubethickness,largeraspectratioandlargerelasticmediumconstants.Bothsurfacelayersandtheelasticmediumenhancethestabilityofnanotubes.Thisstudymightbehelpfulfordesigningthefluid-conveyingnanotubedevicesinNEMSandMEMSsystems.
简介:处于在边界随机刺激下面的飞机紧张状态的压电的厚壳的随机的反应与压电的圆柱的壳被学习并且说明。为电的潜力的微分方程放射状地是综合的作为排水量的功能获得电的潜力。随机的压力边界条件被转变变换成同类的,它在随机的刺激下面为排水量产出电、机械的联合微分方程。然后,这个部分微分方程用Galerkin方法和Legendre多项式被变换成平常的微分方程,它与不对称的僵硬矩阵代表一个随机的multi-degree-of-freedom系统由于电、机械联合并且转变边界条件。频率反应功能矩阵和反应力量光谱系统的密度矩阵基于随机的颤动的理论被导出。吝啬平方的排水量和压电的壳的电的潜力最后被获得,并且频率反应特征和电、机械的联合性质被探索。
简介:Thenonlinearbehaviorofacantileveredfluidconveyingpipesubjectedtoprincipalparametricandinternalresonancesisinvestigatedinthispaper.Theflowvelocityisdividedintoconstantandsinusoidaiparts.Thevelocityvalueoftheconstantpartissoadjustedsuchthatthesystemexhibits3:1internalresonancesforthefirsttwomodes.Themethodofmultiplescalesisemployedtoobtaintheresponseofthesystemandasetoffourfirst-ordernonlinearordinary-differentialequationsforgoverningtheamplitudeoftheresponse.TheeigenvaluesoftheJacobianmatrixareusedtoassessthestabilityoftheequilibriumsolutionswithvaryingparameters.Thecodimension2derivedfromthedouble-zeroeigenvaiuesisanalyzedindetail.Theresultsshowthattheresponseamplitudemayundergosaddle-node,pitchfork,Hopf,homoclinicloopandperiod-doublingbifurcationsdependingonthefrequencyandamplitudeofthesinusoidalflow.Whenthefrequencyofthesinusoidalflowequalsexactlyhalfofthefirst-modefrequency,thesystemhasaroutetochaosbyperiod-doublingbifurcationandthenreturnstoaperiodicmotionastheamplitudeofthesinusoidalflowincreases.