简介:Westudyexperimentallyandtheoreticallytheplanardynamicsofpurelyrollingprismsonaroughramp,wheretherollingmotionisinterruptedintermittentlybyedgeimpacts.Theexperimentswerecarriedoutforprismsmadeofdifferentmaterialsandhavingdifferentgeometries.Wefoundthattheangularvelocitiesoftherollingprismsarematerial-independent,buttheychangesignificantlywiththeirgeometry.Wemodelledthedynamicsofedgeimpactsbyconsideringasocalleddetachmentfrontpropagatingacrossthecontactinterface.Thedetachmentfrontrepresentsthemovingboundarybetweenadetachedregionandastressregionthatcoexistwithintheinterfaceplane.Thetheoreticalanalysisindicatesthatthedetachmentfrontcanbecharacterizedbyascalenumber,whosevalueconvergesto0.4050forprismshavinglargenumberofedges.Anewjumpruleforedgeimpactsisthendeveloped,bywhichwecanaccuratelyreproducetheexperimentalobservations,andexplainwhythemotionoftheprismismaterial-independent.
简介:FinitepartintegralsintroducedbyHadamardinconnectionwithhyperbolicpartialdifferentialequations,havebeenusefulinanumberofengineeringapplications.Inthispaperweinvestigatesomenumericalmethodsforcomputingfinite-partintegrals.
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简介:Inthispaper,weintroduceaquadratureruleforthenumericalevaluationofcertainhypersingularintegrals.TheruleisobtainedbyusingHermiteinterpolationpolynomial.Errorboundisalsomade.
简介:Multitaper光谱比传统的periodogram有更低的变化。到吵闹的信号光谱比率(NNSR)的噪音光谱和噪音从吵闹的信号的multitaper光谱被估计;为计算掩盖阀值的噪音的预先提高的讲话被获得由光谱振幅减法方法,其获得是NNSR的功能;最后的提高的讲话被与合并掩盖阀值的噪音的psychoacousticalweighting规则压制吵闹的讲话的Fourier光谱获得。因为multitaper光谱的低变化特征,一个修改偏移量公式被建议计算掩盖阀值的噪音,因此,有这修正的重建的讲话在MBSD有改进(修改吠叫光谱失真).When不到一统治到psychoacousticalweighting的最大的限制进一步被建议,更高输入SNR(0dB)是,部分SNR和全面SNR有的更多的改进。非正式的听测试证明几乎为由建议方法的提高的语音处理没有很少讲话失真,背景噪音很并且没有音乐的噪音被减少。
简介:Theadditivityruleforelectron-moleculescatteringisrevisedbyconsideringthedifferencebetweenthefreeatomandtheboundatominthemolecule.Thetotalcrosssectionsforelectronscatteringfromfluoromethanes(CF4,CF3H,CF2H2,andCFH3)arecalculatedinanenergyrangefrom100eVto1500eVbytherevisedadditivityrule.Thepresentcalculationsarecomparedwiththeoriginaladditivityruleresultsandtheavailableexperimentaldata.Betteragreementwitheachotherisobtained.
简介:ForthenumericalevaluationofCauchyprincipalvalueintegralsoftheformf(x)(x-λ)-1dxwithλ∈(-1,1)andf∈C1[-1,1],weinvestigatethequadratureformulaQ(n+1)Spl1[·;λ]obtainedbyreplacingtheintegrandfunctionfbyitspiecewiselinearinterpolantatanequidistantsetofnodesasproposedbyRabinoivitz(Math.Comp.,51:741-747,1988).WegiveupperboundsforthePeano-typeerrorconstantsfors∈{1,2}.ThesearethebestpossibleconstantsininequalitiesofthetypeFurthermore,weprovethatourupperboundsareasymptoticallysharp.