简介：AmeshlessapproachtoanalysisofarbitraryKirchhoffplatesbythelocalboundaryintegralequation(LBIE)methodispresented.Themethodcombinestheadvantageousfeaturesofallthethreemeth-ods:theGalerkinfiniteelementmethod(GFEM),theboundaryelementmethod(BEM)andtheelement-freeGalerkinmethod(EFGM).Itisatrulymeshlessmethod,whichmeansthatthediscretizationisinde-pendentofgeometricsubdivisionintoelementsorcells,butisonlybasedonasetofnodes(orderedorscat-tered)overadomaininquestion.Itinvolvesonlyboundaryintegration,however,overalocalboundarycen-teredatthenodeinquestion;Itposesnodifficultiesinsatisfyingtheessentialboundaryconditionswhileleadingtobandedandsparsesystemmatricesusingthemovingleastsquare(MLS)approximations.Itisshownthathighaccuracycanbeachievedforarbitrarygeometriesforclampedandsimply-supportededgeconditions.Themethodisfoundtobesimple,efficient,andattractive.

简介：Thispaperpresentsameshlessmethodforthenonlineargeneralizedregularizedlongwave(GRLW)equationbasedonthemovingleast-squaresapproximation.ThenonlineardiscreteschemeoftheGRLWequationisobtainedandissolvedusingtheiterationmethod.Atheoremontheconvergenceoftheiterativeprocessispresentedandprovedusingtheoremsoftheinfinitynorm.Comparedwithnumericalmethodsbasedonmesh,themeshlessmethodfortheGRLWequationonlyrequiresthescatterednodesinsteadofmeshingthedomainoftheproblem.Someexamples,suchasthepropagationofsinglesolitonandtheinteractionoftwosolitarywaves,aregiventoshowtheeffectivenessofthemeshlessmethod.

简介：在弄平的粒子水动力学(SPH)方法，一个无网孔的插值计划为未知功能被需要以便discretize管理方程。一个粒子近似方法到目前为止被用于这个目的。传统的粒子插值(TPI)简单、容易做，但是它的低精确性成为了一个障碍到它的更宽的申请。这能在粒子混乱安排和衍生物计算的情况中被看见。有许多不同方法改进精确性，与动人的最少的平方(MLS)方法一最重要的无网孔的插值方法。不幸地，它要求复杂矩阵计算那么是相当费时间的。作者开发了一个更简单的计划，叫的高顺序的粒子插值(HPI)。这个计划能比MLS方法，和它的函数值得到更精确的衍生物，衍生物能同时被获得。尽管这个计划为SPH方法被开发，它为另外的无网孔的方法被发现有用。

简介：一个网孔为解决中等厚的盘子的有弹性的动态问题的更少的本地光线的点插值方法(LRPIM)在这篇论文被介绍。板的discretized系统方程用一个局部地加权的剩余方法被获得。它使用一个光线的基础功能(RBF)作为试用功能，和使用结合了多项式基础功能是的四次的花键功能加权的剩余方法的测试功能。形状功能有Kronecker三角洲功能，和没有另外的处理的性质被做强加必要边界条件。为解决动态问题的Newmark方法在计算被采用。动态性质上的照子域和影响领域的尺寸的效果被调查。数字结果证明介绍方法能为中等厚的板的有弹性的动态问题给相当精确的结果。

简介：Amodifiedmovingparticlesemi-implicitmethod(MPS)ispresentedforincompressiblefluids.Modificationisontheremovalofimaginarynodestoenforcetheboundaryconditions.Comparisonwiththeoriginalimaginary-nodeschemehasprovedthevalidityoftheproposedmethod.PerformanceofMPSmethodingeneralisalsoinvestigatedbycomparingtheresultsofLid-drivenandnaturalconvectionproblemswithfinitevolumemethod(FVM).ItisfoundthatMPSmethodshowsrelativelystrongnumericaldiffusion,andforconvectionproblems,MPSmethodappearstobelessrobustthanFVM.Thoughbetterresultscouldbeobtainedwithdifferentkernelfunctions,suchimprovementisquitelimited.

简介：Laminatedcompositematerialsarewidelyimplementedinseveralengineeringconstructions.Foritsrelativelightweight,thesematerialsaresuitableforaerospace,military,marine,andautomotivestructuralapplications.Toobtainsafeandeconomicalstructures,themodellinganalysisaccuracyishighlyrelevant.Sincemeshlessmethodsintherecentyearsachievedaremarkableprogressincomputationalmechanics,thepresentworkusesoneofthemostflexibleandstableinterpolationmeshlesstechniqueavailableintheliterature—theRadialPointInterpolationMethod(RPIM).Here,a2Dapproachisconsideredtonumericallyanalysecompositelaminatedbeams.Boththemeshlessformulationandtheequilibriumequationsrulingthestudiedphysicalphenomenonarepresentedwithdetail.Severalbenchmarkbeamexamplesarestudiedandtheresultsarecomparedwithexactsolutionsavailableintheliteratureandtheresultsobtainedfromacommercialfiniteelementsoftware.Theresultsshowtheefficiencyandaccuracyoftheproposednumerictechnique.

简介：Thesingularhybridboundarynodemethod(SHBNM)isproposedforsolvingthree-dimensionalproblemsinlinearelasticity.TheSHBNMrepresentsacouplingbetweenthehybriddisplacementvariationalformulationsandmovingleastsquares(MLS)approximation.Themainideaistoreducethedimensionalityoftheformerandkeepthemeshlessadvantageofthelater.Therigidmovementmethodwasemployedtosolvethehyper-singularintegrations.The'boundarylayereffect',whichisthemaindrawbackoftheoriginalHybridBNM,wasovercomebyanadaptiveintegrationscheme.Thesourcepointsofthefundamentalsolutionwerearrangeddirectlyontheboundary.Thustheuncertainscalefactortakenintheregularhybridboundarynodemethod(RHBNM)canbeavoided.Numericalexamplesforsome3Delasticproblemsweregiventoshowthecharacteristics.Thecomputationresultsobtainedbythepresentmethodareinexcellentagreementwiththeanalyticalsolution.Theparametersthatinfluencetheperformanceofthismethodwerestudiedthroughthenumericalexamples.

简介：Dynamicearthpressureinducedbymachinefoundationsonaneighboringretainingwallisanalyzedwithemphasisonfactorswhichcontroltheintensityandlocationofthedesignforces.ThemeshlesslocalPetrov-Galerkin(MLPG)methodisusedtoanalyzetheproblemforavarietyofretainingwallandmachinefoundationgeometries.Thesoilmediumisassumedtobehomogeneousandvisco-elastic.Themachinefoundationisidealizedasaharmonicsinusoidaldynamicforceoftenencounteredinpractice.Anumberofanalyseshavebeenmadetorevealtheeffectoftheloadingfrequency,thelocationandsizeofthefoundationandthesoilshearwavevelocityonthedistributionandmagnitudeofthedynamicearthpressure.Resultsindicatethatthereisacriticalfrequencyandacriticallocationforwhichthepassivepressuretakesthemaximaintheentiredurationofthedynamicload.