简介:LetP(z)beapolynomialofdegreenhavingallitszerosin|z|≤k,k≤1,thenforeveryrealorcomplexnumberβ,with|β|≤1andR≤1,itwasshownbyA.Zirehetal.[7]thatfor|z|=1,min|z|=1|P(Rz)+β(R+k/1+k)^nP(z)|≥k^-n|Rn+b(R+k/1+k)^n|min|z|=k|P(z)|.Inthispaper,weshallpresentarefinementoftheaboveinequality.Besides,weshallalsogeneralizesomewell-knownresults.
简介:Thispaperdiscussespointwiseerrorestimatesfortheapproximationbyboundedlinearoperatorsofcontinuousfunctionsdefinedoncompactmetricspaces(X,d),Theauthorsintroduceanewmajorautofthemodulusofthecontinuitywhichisthesrnallestamongthoseg(ξ)'swhichhavethefollowingpropertiesω(f,ε)≤9(f,ε)andg(f,λε)≤(1+λ)g(f,ε)andbythismajorantanewquantitativeKorovkintypetheoremonanycompactmetricspaceisproved.
简介:TheChnstantMndulusAlgoriihm(CMA)enjoyWidepreadpopularityasmethodsforblindbeamform-ingandequalzzationofcommunicationsignals.CMAisstraightforwardtoimplement,robust,andcomputation-zllyofmixierarecomplexity.Furtherlnore,itisinsensitiuetoarrayimperfection.Inanenvironmentcontaintingmultipleconsrantmndulussignals,thesignalextractedbyCMAdependsontherelativepoweroftheincidentsig-nals.Accordingpreviousanrks,theCMAisI,ronewcapturetheStrongestConstantModulus(CM)Signalatthe,outputofthearray.Inthispoper,weshowthattheweakCMsignalcouldberecoveredbyCMA1-2andCMA2-1whenseuingspecialstep-siss.Szmulatzonexamplesconfzrmourremarks.
简介:Thedynamicshearmodulus(DSM)isthemostbasicsoilparameterinearthquakeorotherdynamicloadingconditionsandcanbeobtainedthroughtestinginthefieldorinthelaboratory.TheeffectofconsolidationratiosonthemaximumDSMfortwotypesofsandisinvestigatedbyusingresonantcolumntests.And,anincrementformulatoobtainthemaximumDSMforcasesofconsolidationratiokc>1ispresented.TheresultsindicatethatthemaximumDSMrisesrapidlywhenkcisnear1andthenslowsdown,whichmeansthatthepowerfunctionoftheconsolidationratioincrementkc-1canbeusedtodescribethevariationofthemaximumDSMduetokc>1.TheresultsalsoindicatethattheincreaseinthemaximumDSMduetokc>1issignificantlylargerthanthatpredictedbyHardinandBlack'sformula.
简介:地球媒介的非线性的弹性生产之间的数字差别动态并且岩石的静态的模量。动态模量与超声的速度测量被计算,小周期的模量在装载卸掉实验与小周期被计算,静态的模量在大周期从压力紧张曲线的斜坡被计算,Young's模量在在模量之间的测量point.The关系中从应力的比率被获得到紧张,紧张振幅被在小周期改变紧张振幅学习。从不同测量方法获得的moduli因此被比较。动态模量最大的结果表演,小周期的模量占据第二个位置,静态的模量大周期第三,并且最后幼仔的模量最小。岩石的非线性的模量是紧张水平和紧张振幅的功能。模量与上升紧张振幅指数地减少,当有上升紧张的增加铺平时。最后,下午模型的基本概念简短被介绍,在模量和紧张振幅之间的关系被有不同分发密度和不同open-and-close压力的岩石解释微裂缝。
简介:ThispapershowsthatXisuniformlynon-squareiffP(η_o)>0forsomeη_o∈(0,2).ThusXissuper-reflexiveifandonlyifforXthereexistsanequivalentnormwhichmeetstheabovecondition.Byvirtueofthebeforementionedresult,theauthorderivesthenecessary,andsuffi-cientconditionsforXandl~p(X_j)beinguniformlynon-square,respectively,andgivesacharacterizationoffinite-dimensionalspaceswhichareuniformlynon-square.
简介:Thevibrationproblemofapileofarbitrarysegmentswithvariablemodulusunderexcitingforceisestablished,inwhichtheinfluenceofthesoilunderpiletoeandthesurroundingsistakenintoaccount.WithLaplacetransforms,thetransmitfunctionsforvelocityanddisplacementofpilearederived.Furthermore,intermsoftheconvolutiontheoremandinversedLaplacetransform,ananalyticalsolutionforthetimedomainresponseofapilesubjectedtoasemi-sineimpulseisdeveloped,whichisthetheoreticalbasisofthesonicmethodinpileintegritytesting.Basedonthesolution,thevibrationpropertiesofpilewithsharporcontinuousmodulusarestudied.Thevalidityofthisapproachisverifiedthroughfidddynamictestsonsomeengineeringpiles.Itshowsthatthetheoreticalpredictionandtheresponseofthepileareingoodagreement.
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简介:有在紧张和压缩的不同moduli的材料被称为双性人模量材料。Graphene是有最高的力量和最薄的厚度的如此的一种材料。在这份报纸,受到温度效果并且放了在Winkler地基上的双性人模量横梁的机械反应被学习。关于中立的轴位置和双性人模量基础横梁的正常紧张的未经决定的参数的微分方程被建立。然后,地基横梁的正常压力,弯曲时刻,和排水量的分析表情被导出。同时,一个计算过程基于有限元素方法(女性)被开发获得双性人模量结构的温度压力。获得的双性人模量解决方案能恢复古典模量解决方案,这被显示出,并且结果由分析表达式,现在的女性的过程,和传统的女性的软件获得是一致的,它验证现在的分析模型和过程的精确性和可靠性。最后,双性人模量结果之间的差别和古典一样的模量结果被讨论,并且为在实际工程计算并且优化某些双性人模量成员的几个合理建议被介绍。
简介:Therelationshipbetweentheplane-orientationfunctionandthespace-orientationfunctionofwhiskersinwhisker-reinforcedmetalmatrixcompositeswasanalyzedtheoretically.Theactualorientationofwhiskersintheas-cast20%SiCw/Mgcomposite(SiCwcontentinvolumefraction)wereinvestigated,andtheelasticmodulusofthecompositewasmeasuredwithanultrasonicvelocityanalyzer.Resultsshowthatthereisanevidentdifferencebe-tweentheplane-orientationfunctionandthespace-orientationfunctionofwhiskersandthespace-orientationfunctioncanrepresenttheactualconditionofthecomposite.Onlybyusingthespace-orientationfunctionofwhiskers,thedifferenceofelasticmodulusoftheas-castcompositeindifferentdirectionscanbeexplainedreasonably.
简介:Amodifiedtorsionpendulumapparatusisdevelopedformeasuringtheshearmodulusofsinglefilamentswithuniformmicro-sizeddiameter.Asinglefilamentfixedatbothendsandwitharing-shapedmassattachedatthemiddleisusedasaclamped-clampedtorsionpendulum.Theshearmodulusofsinglefilamentscanbeexpressedasafunctionoftheoscillationfrequencyofthetorsionpendulum.TheoscillationmotionismeasuredwithaCCDlaserdisplacementsensor,anditsfrequencyisdeterminedbytheFastFourierTransform(FFT)method.Theshearmoduliofthreetypesoffilaments:copperwires,tungstenwiresandcarbonfibersareaccuratelymeasuredwiththistechnique.Itisfoundthatthesizeeffectinshearmoduliofbothcopperwiresandtungstenwiresisminor.Finally,theerroranalysisofourmeasurementtechniqueispresentedindetail.