简介：让D是任何部门戒指，并且让是k×k的集合(k≥2)矩形的块在D上的三角形的矩阵。为A，B∈，如果等级(−B)=1，然后，A和B被说由∼邻近、表示B。地图φ：被说如果，是在两个方向保存地图的毗邻∼B如果并且仅当φ(A)∼φ(B)。让G所有毗邻的转变组上在两个方向正在保存bijections。什么时候m1,nk≥2，我们描绘G的代数学的结构，并且获得矩形的块的基本定理在D上的三角形的矩阵。

简介：矩形的瓦能为保护在轮船壳上被生，但是瓦的方面必须被调整因此邻近的瓦将遵循壳的弯曲。为沿着一根参考线放瓦的一个方法被建议，并且为瓦的四个顶点的排水量的一个许可的范围是坚定的。一根特定的参考线上的每瓦的变丑然后被获得。瓦什么时候是到有最少的弯曲的一根线的放的平行，被发现最少的变丑被要求。在在表面上计算吝啬的弯曲以后，表面被划分成三个布局区域。跟随主要弯曲的最少的变丑的一套分离的点被获得。一条NURBS插值曲线然后为放瓦作为参考线被阴谋。瓦的最佳尺寸被获得，给许可的最大的变丑条件。这最小化螺栓的数字和填满的数量。一典型在船尾，壳节被选择并且基于弯曲的分发划分了成三个布局区域。矩形的瓦的最佳尺寸为每个布局区域被获得，他们然后在表面上被生。这样，矩形的瓦的布局能被阴谋。

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简介：在这份报纸，侵犯喷气的underexpanded的流动地从方面比率1，3和5的矩形的嘴发出了数字地并且试验性地被学习。二维的温度和压力分布被使用红外线的照相机和分别地扫描设备和一台步进马达的一个压力的联合测量。侵犯的板上的停滞压力的变化表明hysteretic现象在为3.0和5.0的方面比率增加并且减少压力比率期间存在。方面比率1.0的嘴引起了最大的全部的压力损失pc/p0=，这也被发现0.27在p的压力比率0/pb=6.5在pc是墙上的停滞中心压力的地方，p0在上游的停滞压力，pb周围的压力。另外的二张嘴证明压力损失pc/p0=0.52并且0.55被方面比率的嘴完成3,0和5.0分别地。在计算和实验之间的比较相当好，出现三维在喷气冲击波优化并且组织。然而，在在3.5和4.5的压力比率之间的实验观察的压力变化的磁滞现象不能在计算被证实。关键词可压缩的流动-冲击波-下面膨胀的矩形的侵犯喷气-CFDCLC数字O358

简介：Thispaperinvestigatessymbolicalgorithmicanalysisofrectangularhybridsystems.Todealwiththesymbolicreachabilityproblem,arestrictedconstraintsystemcalledhybridzoneisformalizedfortherepresentationandmanipulationofrectangularautomatastate-spaces.Hybridzonesareprovedtobeclosedoversymbolicreachabilityoperationsofrectangularhybridsystems.Theyarealsoappliedtomodel-checkingproceduresforverifyingsomeimportantclassesoftimedcomputationtreelogicformulas.Torepresenthybridzones,adatastructurecalleddifferenceconstraintmatrixisdefined.Theseenableustodealwiththesymbolicalgorithmicanalysisofrectangularhybridsystemsinanefficientway.

简介：LetRbeasimpleArtinianring,Mm×n（R）bethesetofallm×nmatricesoverR.GLn（R）bethesetofalln×ninvertiblematricesoverR.LetATbethetransposematrixofA∈Mm×n（R）.BytheWedderburn-Artintheorem,RbeisomorphictoatotalmatrixringMs×s（D）overadivisionringD.Letα→（α）DbeanisomorphismofRontoMs×s（D）,ifX=

简介：Inthispaper,fundamentalequationsandboundaryconditionsofthenonlinearbendingtheoryforarectangularsandwiclplatewithasoftcorearederivedbymeansofthemethodofcalculusofvariations.Thenthenonlinearbendingforasimplysupportedrectangularsandwichplateundertheuniformlateralloadisinvestigatedbyuseoftheperturbationmethodandaquiteaccurateanalyticsolutionisobtained.

简介：Theadaptivereconstructionforthelostinformationoftherectangularimageareaisveryimportantfortherobusttransmissionandrestorationoftheimage.Inthispaper,anewreconstructionmethodbasedontheDiscreteCosineTransform(DCT)domainhasbeenputforward.AccordingtothelowpasscharacterofthehumanvisualsystemandtheenergydistributionoftheDCTcoefficientsontherectangularboundary,theDCTcoefficientsoftherectangularimageareaareadaptivelyselectedandrecovered.AftertheInverseDiscreteCosineTransform(IDCT),thelostinformationoftherectangularimageareacanbereconstructed.Theexperimentshavedemonstratedthatthesubjectiveandobjectivequalitiesofthereconstructedimagesareenhancedgreatlythanbefore.

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简介：Amodelwasestablishedtopredictcondensationheattransfercoefficientonhorizontalrectangularfinnedtube.Drop-Offzoneatthetubebottomwasconsideredanddetermined,theknownHonda(andOwen)expressionofretentionanglewasalsomodifiedasaresultofconsideringdrop-offzone.Heatfluxonfintipsintheunfloodedregion,finflanks,finspacingsandfintipsinthefloodedregionwereanalyzedrespectively.COndensationonfintipsinemphasizedbyconsideringthevariationoffilmthicknessalongcircumferenceaswellashorizontally.FInefficiencywasconsideredincalculation.Thepredictionresultswerecomparedwithseveralresearchers'experimentaldataforthreekindsofworkingfluidsonsevendifferenttubegeometriesandforvarioustemperaturedifferences,Thesedataunderabout60testconditionswerepredictedwithdiscrepancyof±10%.PredictionbythepresentmodelforsteamandR-113condensationwerecomparedwithpreviousmodels.

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简介：Thisstudyproposesanewelectromagneticrectangularmixer,andnumericallyexaminesthemixingcharacteristicsoftwodifferentelectrolytesolutionsinthedeviceunderauniformmagneticfield.Themixerconsistsofaconduitwithelectrodesequippedonitstopandbottomwalls.Thedifferenceintheelectricpotentialsappliedtothesetsofelectrodesinducesthecurrent.ThecombinationoftheinducedcurrentandmagneticfieldyieldsLorentzforce,resultinginthefluidmotionforpumpingandmixingofthetwodifferentfluids.ThenumericalsimulationiscarriedoutwiththeuseofcommercialsoftwareCFX.Thepresentnumericalmodelisvalidatedbyanexistingnumericalwork.Theeffectofdifferentvariablesonmixingefficiencyisinvestigatedinmanydifferentcaseswithtwodifferentheightsoftheductandvariousinputvoltagesoftheelectrodes.Thecurrentsimulationresultsindicatethatthemixingperformancecanbeenhancedbyusingmultiplesetsofelectrodesandapplyinghigherinputvoltages(absolutevalues)totheelectrodes.

简介：Fromthemolecularcurrentviewpoint,ananalyticexpressionexactlydescribingmagneticfielddistributionofrectangularpermanentmagnetsmagnetizedsufficientlyinonedirectionwasderivedfromtheBiot-Savart'slaw.Thisexpressionisusefulnotonlyforthecaseofonerectangularpermanentmagnetbulk,butalsoforthatofseveralrectangularpermanentmagnetbulks.Byusingthisexpression,therelationsbetweenmagneticfielddistributionandthesizeofrectangularpermanentmagnetsaswellasthemagnitudeofmagneticfieldandthedistancefromthepointinthespacetothetop(orbottom)surfaceofrectangularpermanentmagnetswerediscussedindetail.Allthecalculatingresultsareconsistentwithexperimentalones.Fortransversemagneticfieldwhichisamainmagneticfieldofrectangularpermanentmagnets,inordertodescribeitsdistribution,twoquantities,oneistheuniformityinmagnitudeandtheotheristheuniformityindistributionofmagneticfield,weredefined.Furthermore,therelationsbetweenthemandthegeometricsizeofthemagnetaswellasthedistancefromthesurfaceofpermanentmagnetswereinvestigatedbytheseformulas.Thenumericalresultsshowthatthegeometricsizeandthedistancehaveavisibleinfluenceontheuniformityinmagnitudeandtheuniformityindistributionofthemagneticfield.

简介：Abstract.Usingthemethodofundeterminedfunction,asetof12parameterrectangularp|atedementwithdoub[esetparameterandgeometrysymmetryisconstructed.TheirconsistencyerrorareO(h2),oneorderhigherthantheusua[12parameterrectangu|arp[ateelements.

简介：Inordertoreducehighcalibrationpressureinhydroformingofcomponentswithtoosmallradii,amethodwasproposedtomanufactureautomotivehollowcomponentswithrectangularshapebyrelativelylowerpressure.Theprocessissimulatedandanalyzed.Itisthoughtthatthefrictionforcebetweenthediesurfaceandtubeisamainreasonthathighpressureisneededtoformsmallradii.Usingthemethodproposedinthispaper,apetal-likesectionshapeisfirstpreformedsothatthecentralzonesofthefoursidesofthepreformsectiondonotcontactwiththediesides,thusthetubemetaliseasytoflowintothetransitionradiiareaincalibrationstage.Moreover,apositiveforcealongthesidesisproducedbytheinternalpressure,whichisbeneficialtoovercomethefrictionforceandpushthematerialintotheradii.Therefore,thepressureforformingthetransitionradiiisgreatlyreducedandthecomponentswithsmallradiicanbeformedwithrelativelylowerpressure.Fortheexperimentalcaseconductedinthispaper,theformingpressureisreducedbyabout28.6%thantheestimatedformingpressure.

简介：Thispaperpresentsanumericalapproachformodelingtheinteractionbetweenmultiplecracksinarectangularplateundercyclicloads.Itinvolvestheformulationoffatiguegrowthofmultiplecracktipsundermixed-modeloadingandanextensionofahybriddisplacementdiscontinuitymethod(aboundaryelementmethod)tofatiguecrackgrowthanalyses.Becauseofanintrinsicfeatureoftheboundaryelementmethod,ageneralgrowthproblemofmultiplecrackscanbesolvedinasingle-regionformulation.Inthenumericalsimulation,remeshingofexistingboundariesisnotnecessaryforeachincrementofcrackextension.Crackextensionisconvenientlymodeledbyaddingnewboundaryelementsontheincrementalcrackextensiontothepreviouscrackboundaries.Asanexample,thenumericalapproachisusedtoanalyzethefatiguegrowthofthreeparallelcracksinarectangularplate.Thenumericalresultsillustratethevalidationofthenumericalapproachandcanrevealtheefectofthegeometryofthecrackedplateonthefatiguegrowth.

简介：这份报纸在在矩形的板结构的横向的颤动上制止僵硬的边的影响上论述分析研究。一个改进Fourier系列方法被采用与一般有弹性地制止的边界条件分析板结构的横向的颤动。一个双Fourier系列和八项辅助条款的线性联合作为板的曲折排水量的可被考虑的功能被寻求，是的每项条款多项式功能的联合和单个余弦系列扩大。辅助条款被介绍在边界保证并且改善原来的排水量功能和它的衍生物的光滑。几个数字例子被给表明当前的答案的有效性和精确性。自然频率和板的模式形状上的翻译、旋转的僵硬的影响被数字结果分析。结果证明翻译僵硬比旋转僵硬在自然频率上有更大的影响。旋转僵硬的小变化几乎没在板的模式形状上有小影响，通常是众所周知的。然而，当前的工作证明旋转僵硬价值的一个很小的变化可以导致方形的板结构的模式形状的一个大变化。

简介：在这篇论文，在在低严肃下面的一辆矩形的坦克的液体sloshing的动力学被调查。基本频率和液体的sloshing的速度潜力被Fourier系列的扩大获得。力量的特征和液体作用于的时刻一辆矩形的坦克被分析。液体的sloshing的相等的机械模型ofspring-vibrator-damper与机械相等的原则被建立，数字结果被给。数字结果证明相等的sloshing团随严肃的增加增加，并且基本频率和相等的sloshing团随液体深度的增加增加。

简介：Inthispaper,amethodofconstructingdisplacement-basedelmentforthick/thinplatesisdevel-opedbyusingthetechniqueofgeneralizedcompatibility,andarectangulardisplacement-basedelementwith12degreesoffreedomforthick/thinplatesispresented.Thismethodenjoysagoodaccuracywithsimpleformulationandisfreeofshear-lockingasthethicknessoftheplateapproacheszero.