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57 个结果
  • 简介:Inthispaper,withPoincare’sformalism,andanindirectmethod,thecanonicalformsofthegeneralizedequationsofmotionduetoNielsenandCenovofaholonomicdynamicalsysteminthevelocity-phasespaceandtheacenleration-phasespaceareobtainedintermsofthePoincareparameters.

  • 标签: HOLONOMIC DYNAMIC SYSTEM Nielsen’s EQUATIONS of
  • 简介:ThesolutionsofGreen'sfunctionaresignificantforsimplificationofproblemonatwo-phasesaturatedmedium.UsingtransformationofaxisymmetriccylindricalcoordinateandSommerfeld'sintegral,superpositionoftheinfluencefieldonafreesurface,authorsobtainedthesolutionsofatwo-phasesaturatedmediumsubjectedtoaconcentratedforceonthesemi-space.

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  • 简介:Thediscretizationsizeislimitedbythesamplingtheorem,andthelimitisonehalfofthewavelengthofthehighestfrequencyoftheproblem.However,onehalfofthewavelengthisanidealvalue.Ingeneral,thediscretizationsizethatcanensuretheaccuracyofthesimulationismuchsmallerthanthisvalueinthetraditionalfiniteelementmethod.Thepossiblereasonofthisphenomenonisanalyzedinthispaper,andanefficientmethodisgiventoimprovethesimulationaccuracy.

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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.

  • 标签: GREEN函数 非线性弯曲度 边界值 积分方程 弹性系数
  • 简介:Noether’stheoremrevealstheinnerconnectionbetweentheconservationlawsandthedynamicalsymmetryofdynamicalsystems.Intherecenttwent...

  • 标签: analytical MECHANICS UNILATERAL CONSTRAINT conservation law
  • 简介:采用Born近似的Maxwell方程组积分解形式较少应用于气动光学数值计算,其困难在于对该方程组的离散化数值计算.而结合GCV-FFT(GeneralizedconvolutionbyfastFouriertransform)方法,在自由空间传播的Rayleigh-Sommerfeld衍射方程数值计算可以达到比较高的精度.通过对Green函数及采样系数的修正,积分方法可以用于气动光学现象的数值模拟.通过在超声速湍流边界层中光束传输的数值计算,可以看到一些气动光学效应,如光束偏移破碎等,可以用修正GCV-FFT+数值积分的方法得到良好的模拟.现有的方法可以给出更接近物理本质的定量结果.

  • 标签: 散射势积分方程 Born近似 气动光学 非均匀介质层传输
  • 简介:Liquid-solid(L-S)masstransfercoefficients(Ks)werecharacterizedinagas-liquid-solid(G-L-S)three-phasecountercurrentmagneticallystabilizedbed(MSB)usingamorphousalloySRNA-4asthesolidphase.Effectsofsuperficialliquidvelocity,superficialgasvelocity,magneticfieldstrength,liquidviscosityandsurfacetensionwereinvestigated.ExperimentalresultsindicatedthattheexternalmagneticfieldincreasedKsinthree-phaseMSB,ascomparedtothoseinconventionalG-L-Sfluidizedbeds;thatKsincreasedwithmagneticfieldstrength,superficialgasandliquidvelocitiesanddecreasedwithliquidviscosityandsurfacetension;andthatKsshoweduniformaxialandradialdistributionsexceptforsmallincreasesclosetothewall.DimensionlesscorrelationswereestablishedtoestimateKsoftheG-L-ScountercurrentMSBusingSRNA-4catalyst,withanaverageerrorof3.6%.

  • 标签: 磁力稳定床 对流 液体-固体传质 非晶态合金 SRNA-4催化剂
  • 简介:BasedupontheHellinger-Reissner(H-R)mixedvariationalprincipleforthree-dimensionalelasticbodies,themodifiedH-Rmixedvariationaltheoremformagnetoelectroelasticbodieswasestablished.Thestate-vectorequationofmagnetoelectroelasticplateswasderivedfromtheproposedtheorembyperformingthevariationaloperations.Tolayatheoreticalbasisofthesemi-analyticalsolutionappliedwiththemagnetoelectroelasticplates,thestate-vectorequationforthediscreteelementinplanewasproposedthroughtheuseoftheproposedprinciple.Finally,itispointedoutthatthemodifiedH-Rmixedvariationalprincipleforpureelastic,singlepiezoelectricorsinglepiezomagneticbodiesarethespecialcasesofthepresentvariationaltheorem.

  • 标签: 电磁弹性体 半解析解 叠层板 状态矢量函数
  • 简介:TheconstitutiveequationforasemiconcentratedfibresuspensionintheOldroyd-Bfluidhasbeenderivedfromastatisticalmodelofsuchasuspensionbyemployingthemoleculartheoryforpolymericliquids.Tocircumventtheoreticaldifficultiesinviscoelasticfluidmechanics,severalsimplifiedmodelsareusedtoaccountfortheinteractionsoffibresandpolymermolecules.Someofmaterialfunctionsarecalculatedintermsoftheconstitutiveequation.

  • 标签: SUSPENSION CONSTITUTIVE equation material FUNCTIONS phase
  • 简介:ThispaperestablishesthevelocityfieldandtheadequateshearstresscorrespondingtothemotionofanOldroyd-BfluidbetweentwoinfinitecoaxialcircularcylindersbymeansoffiniteHankeltransforms.Theflowofthefluidisproducedbytheinnercylinderwhichappliesatime-dependentlongitudinalshearstresstothefluid.Theexactanalyticalsolutions,presentedinseriesformintermsofBesselfunctions,satisfyallimposedinitialandboundaryconditions.ThegeneralsolutionscanbeeasilyspecializedtogivesimilarsolutionsforMaxwell,secondgradeandNewtonianfluidsperformingthesamemotion.Finally,somecharacteristicsofthemotionaswellastheinfluenceofthematerialparametersonthebehaviorofthefluidmotionaregraphicallyillustrated.

  • 标签: COUETTE流动 流体运动 HANKEL变换 轴向 纵向剪应力 贝塞尔函数
  • 简介:Acompositebeamissymmetricifboththematerialpropertyandsupportaresymmetricwithrespecttothemiddlepoint.Inordertostudythefreevibrationperformanceofthesymmetriccompositebeamswithdifferentcomplexnonsmooth/discontinuousinterfaces,wedevelopanR(x)-orthonormaltheory,whereR(x)isanintegrableflexuralrigidityfunction.TheR(x)-orthonormalbasesinthelinearspaceofboundaryfunctionsareconstructed,ofwhichthesecond-orderderivativesoftheboundaryfunctionsareaskedtobeorthonormalwithrespecttotheweightfunctionR(x).WhenthevibrationmodesofthesymmetriccompositebeamareexpressedintermsoftheR(x)-orthonormalbaseswecanderiveaneigenvalueproblemendowedwithaspecialstructureofthecoefficientmatrixA:=[aij],aij=0ifi+jisodd.Basedonthespecialstructurewecanprovetwonewtheorems,whichindicatethatthecharacteristicequationofAcanbedecomposedintotheproductofthecharacteristicequationsoftwosub-matriceswithdimensionshalflower.Hence,wecansequentiallysolvethenaturalfrequenciesinclosed-formowingtothespecialtyofA.Weusethispowerfulnewtheorytoanalyzethefreevibrationperformanceandthevibrationmodesofsymmetriccompositebeamswiththreedifferentinterfaces.

  • 标签: SYMMETRIC composite beams R(x)-orthogonality of second-order
  • 简介:部分地,聪明切割的过程,缺陷由尺寸描绘了的结合的效果和在切开前后的内部压力上的2纸被使用破裂力学模型学习。有大尺寸的结合的缺陷是容易的引起缺点生长的严重偏差,这被发现,当切开时,导致薄层的一个非转移的区域。在结合的缺陷的内部压力是很小的一个实际聪明切割的过程,大界面的缺点总是在切开的过程支持缺点生长。同时,增加结合的缺陷的内部压力减少在切开前的缺点生长和它的偏差。stiffener限制的松驰的机制被建议澄清结合的缺陷的效果。而且,当结合的缺陷是在场的时,切开的过程的进步被分析。在切开以后,有大尺寸和高内部的压力的那些结合的缺陷在高温度的退火期间为薄电影的blistering是脆弱的。

  • 标签: 粘结缺陷 智能剥离 断裂力学分析 分裂过程 内部压力 技术
  • 简介:用时域泰勒级数展开的方法分析了速率偏频激光陀螺惯导系统常用速度数值积分算法的误差。分析显示速率偏频陀螺本身的高速旋转使惯性导航系统时刻处于大角运动条件下。若其旋转轴与比力方向不平行,则常用速度算法的误差不可忽略。提出了速率偏频激光陀螺惯导系统速度算法的优化改进方法。对常用速度算法和提出的算法进行了仿真比较。仿真显示,用泰勒级数展开分析速度数值积分算法误差是可行的;提出的算法能够将速率偏频激光陀螺惯导系统以及其他惯性导航系统在大机动运动环境下的导航精度提高一阶。

  • 标签: 速率偏频 速度算法 误差 优化
  • 简介:Thispaperaimstoinvestigatethehydrodynamicbehaviorofatensionlegplatform(TLP)whenthetendonconnectionanglesarevariedat90°,70°,50°,and30°.ThreedifferenttypesofloadingconditionsareappliedtotheTLP.Conditionsinclude100-yearhurricanestormperiod,regularwavesandnoloading.TheTLPdisplayedmajorresponseinthepitchdegreeoffreedom.Amaximumreductionof14%inpitchrotationisachievedwhen100-yearhurricanestormconditionsareappliedtotheTLP.Thisoccurredin0°loadingsat30°tendonconnectionangleascomparedto90°tendonconnectionangle.Reductioninpitchrotationisalsoachievedintheregularwaveloadings.Amaximumof9%inpitchrotationisachievedduring0°waveloadingat30°tendonconnectionangleascomparedto90°.Whenthetendonconnectionangleisreducedfrom90°to30°,thenaturalfrequencyoftheTLPincreasedbothinpitchandyawdegreesoffreedomby2.55%and2.40%,respectively.

  • 标签: TENDON CONNECTION IRREGULAR WAVES Regular WAVES
  • 简介:Astandardconservationformisderivedinthispaper.ThehyperbolicityofHelbing’sfluiddynamictrafficflowmodelisproved,whichisessentialtothegeneralanalyticalandnumericalstudyofthismodel.Onthebasisofthisconservationform,alocaldiscontinuousGalerkinschemeisdesignedtosolvetheresultingsystemefficiently.Theevolutionofanunstableequilibriumtrafficstateleadingtoastablestop-and-gotravelingwaveissimulated.Thissimulationalsoverifiesthatthemodelistrulyimprovedbytheintroductionofthemodifieddiffusioncoefficients,andthushelpstoprotectvehiclesfromcollisionsandavoidetheappearanceoftheextremelylargedensity.

  • 标签: 交通流模型 流体动力学 保护 GALERKIN 模拟验证 数值研究
  • 简介:Weprovideanalyticalsolutionstotheproblemsofacircularbendingofabeaminplanestrainandthetorsionofanon-circularcross-sectionbeam,thebeamsobeyingasecond-gradientelasticitylawproposedbytheauthor,followingaprevioussuggestionofdell'Isolaetal.(2009).Themotivationwastofindbenchmarkanalyticalsolutionsthatcanservetograspthephysicalfoundationsofsecondgradientelasticitylawsforheterogeneousmaterials.TheanalyticalsolutionofthecircularbeamproblempresentstheadditionaladvantagetoestablishsomenicepropertiesontheunknownsecondgradientelasticmoduliintroducedbyEnakoutsa(2014)modelandtheclassicalelasticityconstantsforbothincompressibleandcompressibleheterogeneouselasticmaterials.Aframeworktofindtheelasticmoduliofthenewmodelisalsoproposed.

  • 标签: 梯度材料 广义虎克定律 应用 弹性定律 材料弹性常数 弹性模量