简介：Inthispaper,withPoincare’sformalism,andanindirectmethod,thecanonicalformsofthegeneralizedequationsofmotionduetoNielsenandCenovofaholonomicdynamicalsysteminthevelocity-phasespaceandtheacenleration-phasespaceareobtainedintermsofthePoincareparameters.

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简介：Byusingthefundamentalequationsofaxisymmetricshallowshellsofrevolution,thenonlinearbendingofashallowcorrugatedshellwithtaperunderarbitraryloadhasbeeninvestigated.ThenonlinearboundaryvalueproblemofthecorrugatedshellwasreducedtothenonlinearintegralequationsbyusingthemethodofGreen'sfunction.Tosolvetheintegralequations,expansionmethodwasusedtoobtainGreen'sfunction.ThentheintegralequationswerereducedtotheformwithdegeneratecorebyexpandingGreen'sfunctionasseriesofcharacteristicfunction.Therefore,theintegralequationsbecomenonlinearalgebraicequations.Newton'siterativemethodwasutilizedtosolvethenonlinearalgebraicequations.Toguaranteetheconvergenceoftheiterativemethod,deflectionatcenterwastakenascontrolparameter.Correspondingloadswereobtainedbyincreasingdeflectiononebyone.Asanumericalexample,elasticcharacteristicofshallowcorrugatedshellswithsphericaltaperwasstudied.Calculationresultsshowthatcharacteristicofcorrugatedshellschangesremarkably.Thesnappinginstabilitywhichisanalogoustoshallowsphericalshellsoccurswithincreasingloadifthetaperisrelativelylarge.Thesolutionisclosetotheexperimentalresults.

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简介：BycombiningChapman-EnskogexpansionwiththeBGKapproximationtoBaltzmannequationandNavier-Stokesequationwasobtained.AndanexpressionofDarcy'slawwasobtainedthroughtakingvariableaverageoverNavier-Stokesequationonsomerepresentativespaceinporousmedia,andfinallyanexamplewastakentoproveitsreliability.

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简介：ThispaperusesPoincaréformalismtoextendtheLevi-Civitatheoremtocopewithnonholonomicsys-temsadmittingcertaininvariantrelationswhoseequationsofmotioninvolveconstraintmultipliers.Sufficientcondi-tionsallowingsuchextensionareobtainedand,asanapplicationofthetheoryageneralizationofRouth’smotionispresented.

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简介：The1/3subharmonicsolutionfortheDuffing'sequationisinvestigatedbyusingthemethodsofharmonicbalanceandnumericalintegration.Thesensitivityofparametervariationforthetransientprocessandthetransientprocessfortheperturbanceinitialconditionsarestudied.Overandabove,theprecisionofnumericalintegrationmethodisdiscussedandthenumericalintegrationmethodiscomparedwiththeharmonicbalancemethod.Finally,asymptoticalstabilityofthepuresubharmonicoscillationselementisinspected.

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简介：ForthefamousFeigenbaum’sequations,inthispaper,weestablisheditsconstructivetheoremofthepeak-unimodal,thenwefoundoutotherpathstoexplorethepeak-unimodalsolutions.Forexample,weproceedonthedirectiontotrythenon-symmetricalcontinuouspeak-unimodalsolutionsandC~1solutions.

简介：Afewadditionaldatafromourpreviousexperimentswereplottedtoemphasizetheshear-thickeningbehaviorofdeoxysickleerythrocyte(SS)suspension.Aconstitutiveequation(namedasFXequation)wasdevelopedandappliedtoacylindricalpipeflowofashear-thickeningfluid.Abluntvelocityprofileanditsvolumeflowratewerecalculated.Theflowwasnon-viscous(potential)inthecentralpartofthepipe(i.e.thecentralcoreorthecentralplug-flow),andbecamemoreandmoreviscoustowardsthewallofthepipeafteraspecificradialdistance,whichwasdeterminedbyacriticalshearrateofγF(namedasFung'sshearrate).Furthermore,combiningtheFXequationwiththeoriginalCasson'sequation,theauthorobtainedamodifiedCasson'sequationbyintroducingγF.

简介：根据小波多分辨率分析的特点和光纤陀螺信号的数学模型,提出了一种阈值滤波的算法,并比较了几种小波基不同的滤波效果.通过试验结果分析,证明了小波阈值滤波的可行性.

简介：Allan方差法是对光学陀螺随机误差频率稳定性进行分析的一种通用方法.根据光学陀螺信号零漂移的频率特性,提出了利用小波变换所具有的时频局部化的优点对其随机过程进行小波方差分析.由于小波方差可以更好地防止能量泄露,所以小波方差比Allan方差更为精确.经过对光学陀螺零漂数据的方差分析证明了Allan方差和小波方差法的一致性,并且小波方差更能准确地描述不同频率的方差变化.

简介：AmethodoflocalizationisproposedtolowerthehighorderofequationsinFEMcalcula-tionforthestabilityofacomplexthin-walledstructure.Thelocalizedanalysisenablesustoobtainboththeupperandlowerlimitsforthebifurcatingpointinawholelinearelasticstructuralsystem,aswellasanap-proximatesolutiontoasymptoticpost-bucklingproblem.Somenumericalexamplesareincluded.

简介：ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅｓｕｂｔｒｏｐｉｃａｌａｎｔｉｃｙｃｌｏｎｅ（ｓｕｂｔｒｏｐｉｃａｌｈｉｇｈ）ｏｖｅｒＥａｓｔ＿Ａｓｉａｒｅｇｉｏｎｉｓａｎｉｍｐｏｒｔａｎｔｓｙｎｏｐｔｉｃｓｙｓｔｅｍｉｎｆｌｕｅｎｃｉｎｇｔｈｉｓｒｅｇｉｏｎ’ｓｗｅ...

简介：Thepressuredropacrossalaboratory-scalecatalystpackedbedwithmechanicalfailureofcatalystpelletshasbeenexamined.ItwasfoundthattheincreasedpressuredropcanbedescribedbyasimplifiedmodeldeducedfromErgun'sequation.Thepressuredropisdeterminedmainlybythetermofviscousenergyloss.