简介:Thispaperaimstoinvestigatethehydrodynamicbehaviorofatensionlegplatform(TLP)whenthetendonconnectionanglesarevariedat90°,70°,50°,and30°.ThreedifferenttypesofloadingconditionsareappliedtotheTLP.Conditionsinclude100-yearhurricanestormperiod,regularwavesandnoloading.TheTLPdisplayedmajorresponseinthepitchdegreeoffreedom.Amaximumreductionof14%inpitchrotationisachievedwhen100-yearhurricanestormconditionsareappliedtotheTLP.Thisoccurredin0°loadingsat30°tendonconnectionangleascomparedto90°tendonconnectionangle.Reductioninpitchrotationisalsoachievedintheregularwaveloadings.Amaximumof9%inpitchrotationisachievedduring0°waveloadingat30°tendonconnectionangleascomparedto90°.Whenthetendonconnectionangleisreducedfrom90°to30°,thenaturalfrequencyoftheTLPincreasedbothinpitchandyawdegreesoffreedomby2.55%and2.40%,respectively.
简介:Astandardconservationformisderivedinthispaper.ThehyperbolicityofHelbing’sfluiddynamictrafficflowmodelisproved,whichisessentialtothegeneralanalyticalandnumericalstudyofthismodel.Onthebasisofthisconservationform,alocaldiscontinuousGalerkinschemeisdesignedtosolvetheresultingsystemefficiently.Theevolutionofanunstableequilibriumtrafficstateleadingtoastablestop-and-gotravelingwaveissimulated.Thissimulationalsoverifiesthatthemodelistrulyimprovedbytheintroductionofthemodifieddiffusioncoefficients,andthushelpstoprotectvehiclesfromcollisionsandavoidetheappearanceoftheextremelylargedensity.
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简介:AdualSshapedmicrostripantennawitharealisticfeedisproposedforgenerationoftiltedbeamradiationpatternpertainingforbeamsteeringapplications.Toachievethis,fourfeedingpointsarelocatedatadistanceof5.6mmfromtheantennacentre.Thesefeedingpointswhenexcitedonebyonegeneratefourtiltedbeamsinfourdifferentspacequadrants,thusyieldingabeamsteerableantenna.Importantly,sincetheproposedantennaissymmetricalinthestructure,allthefourtiltedbeamshavethesameradiationpatterncharacteristics.Afurtherenhancementoftheantennabandwidthisalsoachievedusing100-μmcapacitivecouplingbetweenthefeedandtheantennastrip.
简介:Weprovideanalyticalsolutionstotheproblemsofacircularbendingofabeaminplanestrainandthetorsionofanon-circularcross-sectionbeam,thebeamsobeyingasecond-gradientelasticitylawproposedbytheauthor,followingaprevioussuggestionofdell'Isolaetal.(2009).Themotivationwastofindbenchmarkanalyticalsolutionsthatcanservetograspthephysicalfoundationsofsecondgradientelasticitylawsforheterogeneousmaterials.TheanalyticalsolutionofthecircularbeamproblempresentstheadditionaladvantagetoestablishsomenicepropertiesontheunknownsecondgradientelasticmoduliintroducedbyEnakoutsa(2014)modelandtheclassicalelasticityconstantsforbothincompressibleandcompressibleheterogeneouselasticmaterials.Aframeworktofindtheelasticmoduliofthenewmodelisalsoproposed.
简介:Underthehypothesesthatthesecond-orderandthird-orderderivativesofafunctionarebounded,anestimateoftheradiusoftheconvergenceballofOstrowski-Traub’smethodisobtained.Anerroranalysisisgivenwhichmatchestheconvergenceorderofthemethod.Finally,twoexamplesareprovidedtoshowapplicationsofourtheorem.
简介:ThispaperisconcernedwiththediffusiveNicholson’sblowfliesequationwithnonlocaldelayincorporatedasanintegralconvolutionovertheentirepasttimeuptonowandthewholeone-dimensionalspatialdomainR.Assumethatthedelaykernelisastronggenerickernel.Bythelinearchaintechniquesandthegeometricsingularperturbationtheory,theexistenceoftravellingfrontsolutionsisshownforsmalldelay.
简介:FranklandFürediin[1]conjecturedthatther-graphwithmedgesformedbytakingthefirstmsetsinthecolexorderingofN(r)hasthelargestLagrangianofallr-graphswithmedges.Denotethisr-graphbyCr,mandtheLagrangianofahypergraphbyλ(G).Inthispaper,wefirstshowthatif(3t-1)≤m<(3t),Gisaleft-compressed3-graphwithmedgesandonvertexset[t],thetriplewithminimumcolexorderinginGcis(t—2—i)(t—2)t,thenλ(G)≤λ(C3,m).Asanimplication,theconjectureofFranklandFiirediistruefor(3t)-6≤m≤(3t).
简介:Inthisworkweslwlylinearpolynomialoperatorspreservingsomeconsecutivei-convexitiesandleavingin-verantthepolynomtalsuptoacertaindegree.Firstwestudytheexistenceofanincompatibilitybetweentheconservationofcenaini-cotivexitiesandtheinvarianceofaspaceofpolynomials.InterpolationpropertiesareobtainedandatheorembyBerensandDcVoreabouttheBernstein’soperatortsextended.Finally,fromtheseresultsagenera’izedBernstein’soperatorisobtained.