简介：Volterraseriesisapowerfulmathematicaltoolfornonlinearsystemanalysis,andthereisawiderangeofnonlinearengineeringsystemsandstructuresthatcanberepresentedbyaVolterraseriesmodel.Inthepresentstudy,therandomvibrationofnonlinearsystemsisinvestigatedusingVolterraseries.Analyticalexpressionswerederivedforthecalculationoftheoutputpowerspectraldensity（PSD）andinput-outputcross-PSDfornonlinearsystemssubjectedtoGaussianexcitation.Basedontheseexpressions,itwasrevealedthatboththeoutputPSDandtheinput-outputcrossPSDcanbeexpressedaspolynomialfunctionsofthenonlinearcharacteristicparametersortheinputintensity.Numericalstudieswerecarriedouttoverifythetheoreticalanalysisresultandtodemonstratetheeffectivenessofthederivedrelationship.TheresultsreachedinthisstudyareofsignificancetotheanalysisanddesignofthenonlinearengineeringsystemsandstructureswhichcanberepresentedbyaVolterraseriesmodel.

简介：Thisletterpresentsatheoreticalmodelofthenormal(head-on)collisionsbetweentwosoftspheresforpredictingtheexperimentalcharacteristicofthecoefficientofrestitutiondependentonimpactvelocity.Afterthecontactforcelawbetweenthecontactedspheresduringacollisionisphenomenologicallyformulatedintermsofthecompressionoroverlapdisplacementunderconsiderationofanelastic-plasticloadingandaplasticunloadingsubprocesses,thecoefficientofrestitutionisgainedbythedynamicequationofthecontactprocessonceaninitialimpactvelocityisinput.Itisfoundthatthetheoreticalpredictionsofthecoefficientofrestitutionvaryingwiththeimpactvelocityarewellinagreementwiththeexistingexperimentalcharacteristicswhicharefittedbytheexplicitformula.

简介：一个新方法被开发因为在在同一直线上的振动点上稳定运动用限制的通报的形式主义绕三个身体问题转。关于在同一直线上的振动点轨道的Linearization与周期的系数产出一个不稳定的线性变化参数的系统。给变化方程，一条创新控制法律为振动点轨道基于典型代表赋值被介绍维护。选择理查森鈥檚的数字模拟为一条名字的轨道被进行的一条光圈轨道的第三顺序近似，和结果表明这条控制法律的有效性。关键词通报限制了三个身体问题-变化方程-振动点轨道维护-典型代表赋值工程被中国(10702003)的国家自然科学基础支持。

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简介：Inthispaper,ahigh-orderfinite-volumeschemeispresentedfortheone-dimensionalscalarandinviscidEulerconservationlaws.TheSimpson’squadratureruleisusedtoachievehigh-orderaccuracyintime.TogetthepointvalueoftheSimpson’squadrature,thecharacteristictheoryisusedtoobtainthepositionsofthegridpointsateachsub-timestagealongthecharacteristiccurves,andthethird-orderandfifth-ordercentralweightedessentiallynon-oscillatory(CWENO)reconstructionisadoptedtoestimatethecellpointvalues.Severalstandardone-dimensionalexamplesareusedtoverifythehigh-orderaccuracy,convergenceandcapabilityofcapturingshock.

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