简介：Thispaperpresentsasimplenonparametricregressionapproachtodata-drivencomputinginelasticity.Weapplythekernelregressiontothematerialdataset,andformulateasystemofnonlinearequationssolvedtoobtainastaticequilibriumstateofanelasticstructure.Preliminarynumericalexperimentsillustratethat,comparedwithexistingmethods,theproposedmethodfindsareasonablesolutionevenifdatapointsdistributecoarselyinagivenmaterialdataset.

简介：Inthepresentpaper,thegroundreactionforce(GRF)actingonfootinslowsquatwasdeterminedthroughaforcemeasuringsystem,andatthesametime,thekinematicdataofhumansquatwereobtainedbyanalyzingthephotographedimagesequences.Accordingtotheheightandbodyweight,sixhealthyvolunteerswereselected,threemeninonegroupandtheotherthreewomeninanothergroup,andthefundamentalparametersofsubjectswererecorded,includingbodyweight,heightandage,etc.Basedontheanatomycharacteristics,somemarkerswereplacedontherightsideofjoints.Whilethesubjectsquattedatslowspeedontheforceplatform,thegroundreactionforcesontheforefootandheelforeachfootwereobtainedthroughcalibratedforceplatform.Theanalysisresultsshowthatthereactionforceonheelisgreaterthanthatonforefoot,anddoublefeethavenearlyconstantforce.Moreover,fromprocessingandanalyzingthesynchronouslyphotographedimagesequencesinsquat,thekinematicdataofhumansquatwereacquired,includingmainlythecurvesofangle,angularvelocityandangularaccelerationvariedwithtimeforknee,hipandanklejointsinasagittalplane.Theobtainedresultscanofferinstructivereferenceforphotographingandanalyzingthemovementsofhumanbodies,diagnosingsomediseases,andestablishinginthefutureappropriatemathematicalmodelsforthehumanmotion.

简介：Inthisletter,adistributedprotocolforsampled-datasynchronizationofcoupledharmonicoscillatorswithcontrollerfailureandcommunicationdelaysisproposed,andabriefprocedureofconvergenceanalysisforsuchalgorithmoverundirectedconnectedgraphsisprovided.Furthermore,asimpleyetgenericcriterionisalsopresentedtoguaranteesynchronizedoscillatorymotionsincoupledharmonicoscillators.Subsequently,thesimulationresultsareworkedouttodemonstratetheefciencyandfeasibilityofthetheoreticalresults.

简介：Stochasticdynamicanalysisofthenonlinearsystemisanopenresearchquestionwhichhasdrawnmanyscholars'attentionforitsimportanceandchallenge.Fokker–Planck–Kolmogorov(FPK)equationisofgreatsignificancebecauseofitstheoreticalstrictnessandcomputationalaccuracy.However,practicaldifficultieswiththeFPKmethodappearwhentheanalysisofmulti-degree-offreedom(MDOF)withmoregeneralnonlinearityisrequired.Inthepresentpaper,byinvokingtheideaofequivalenceofprobabilityflux,thegeneralhigh-dimensionalFPKequationrelatedtoMDOFsystemisreducedtoone-dimensionalFPKequation.Thenacellrenormalizedmethod(CRM)whichisbasedonthenumericalreconstructionofthederivedmomentsofFPKequationisintroducedbycoarseningthecontinuousstatespaceintoadiscretizedregionofcells.ThenthecellrenormalizedFPK(CR-FPK)equationissolvedbydifferencemethod.Threenumericalexamplesareillustratedandtheeffectivenessofproposedmethodisassessedandverified.

简介：有一个更合适的操作员的一个修改规则化算法基于散布原则的Mie在激光粒子sizer从轻散布的数据为粒子尺寸分发(PSD)的倒置被建议。概括交叉验证(GCV)方法和L曲线方法被用于决定规则化参数。连续在松驰上(SOR)反复的方法被用来增加集成的结果的精确和稳定性。模仿的结果基于修改算法在与为九件标准微粒样品，他们的混合物以及三天赋测量的试验性的数据的一个好协议有不规则的形状的微粒材料，显示这个修改规则化方法为从相应轻散布的数据的PSD的模拟不仅可行而且有效。

简介：AlaminarpremixedPropane/Airflamewithafuelequivalenceratioof2.1wasemployedforanalysisofsootparticles.Zeroth-orderIognormaldistributions(ZOLD)wereusedintheanalysisofexperimentaldistributionphenomenaatdifferentresidencetimesduringsootformationintheflame.Rayleigh'stheoryandMie'sscatteringtheorywerecombinedwithagglomerateanalysisusingscatteringandextinctiondatatodeterminethefollowingsootcharacteristics:agglomerateparameters,volumetricfractions,massflowratesandsurfacegrowthrate.Sootdensitymeasurementswerecarriedouttodeterminedensityvariationsatdifferentstagesofgrowth.Themeasuredresultsshowthatmetricfractionandmassflowrateindicatethatthesurfacegrowthrateofsootparticlesexceedstheoxidationratesintheflamestudied.Thedataobtainedinthisworkwouldbeusedtostudysootoxidationrateunderflamingcondition.