简介:Phononicmaterialswithspecificband-gapcharacteristicsatdesiredfrequencyrangesareingreatdemandforvibrationandnoiseisolation,elasticwavefilters,andacousticdevices.Theattenuationcoefficientcurvedepictsboththefrequencyrangeofbandgapandtheattenuationofelasticwave,wherethefrequencyrangescorrespondingtothenone-zeroattenuationcoefficientsarebandgaps.Therefore,theband-gapcharacteristicscanbeachievedthroughmaximizingtheattenuationcoefficientatthecorrespondingfrequencyorwithinthecorrespondingfrequencyrange.Becausetheattenuationcoefficientcurveisnotsmoothinthefrequencydomain,thegradient-basedoptimizationmethodscannotbedirectlyusedinthedesignoptimizationofphononicband-gapmaterialstoachievethemaximumattenuationwithinthedesiredfrequencyrange.Toovercomethisdifficulty,theobjectiveofmaximizingtheattenuationcoefficientistransformedintomaximizingitsCosine,andinthisway,theobjectivefunctionissmoothedandbecomesdifferentiable.Basedonthisobjectivefunction,anovelgradient-basedoptimizationapproachisproposedtoopenthebandgapataprescribedfrequencyrangeandtofurthermaximizetheattenuationefficiencyoftheelasticwaveataspecificfrequencyorwithinaprescribedfrequencyrange.Numericalresultsdemonstratetheeffectivenessoftheproposedgradient-basedoptimizationmethodforenhancingthewaveattenuationproperties.
简介:ThenonlinearvibrationsofviscoelasticEuler–BernoullinanobeamsarestudiedusingthefractionalcalculusandtheGurtin–Murdochtheory.EmployingHamilton'sprinciple,thegoverningequationconsideringsurfaceeffectsisderived.Thefractionalintegro-partialdifferentialgoverningequationisfirstconvertedintoafractional–ordinarydifferentialequationinthetimedomainusingtheGalerkinscheme.Thereafter,thesetofnonlinearfractionaltime-dependentequationsexpressedinastate-spaceformissolvedusingthepredictor–correctormethod.Finally,theeffectsofinitialdisplacement,fractionalderivativeorder,viscoelasticitycoefficient,surfaceparametersandthickness-to-lengthratioonthenonlineartimeresponseofsimply-supportedandclamped-freesiliconviscoelasticnanobeamsareinvestigated.
简介:基于镍的单个水晶superalloy与的低周期的疲劳(LCF)行为[001]取向在T0掳C的中间的温度和T0+的更高的温度被学习在10的经常的低紧张率下面的250掳C?3s?1在周围的空气。superalloy展出了依赖于温度并且使用紧张振幅的周期的紧张压缩不对称现象。破裂表面上的分析证明表面和表面下的扔micropores是主要裂缝开始地点。内部Ta富有的碳化物经常在所有标本被观察。骨折的二种不同类型被frac-togaphy建议。一种类型被模式描绘--我与一台用显微镜裂开在T0+的不平的表面250掳C。而在更低的温度T0C的另外的类型赞成了中的一个或几八面{111}飞机,与正常模式相对照--我生长模式典型地在低装载观察了频率(几Hz)。为二个裂开的模式的失败机制纬鈥?正在砍在T0+在矩阵和纬/纬鈥?接口在T0掳C和裂开的反对ned和矩阵猛抛250掳C。
简介:Anewcomputationschemeproposedtotacklecommensurateproblemsisdevelopedbymodifyingthesemi-analyticapproachforminimizingcomputationalcomplexity.Usingtheproposedscheme,thelimitstateequations,usuallyreferredtoasthefailuresurface,areobtainedfromtransformationofanintervalvariabletoanormalizedone.Inordertominimizethecomputationalcost,twoalgorithmsforoptimizingthecalculationstepshavebeenproposed.Themonotonicityoftheobjectivefunctioncanbedeterminedfromnarrowingthescopeofintervalvariablesinnormalizedinfinitespacebyincorporatingthealgorithmsintothecomputationalscheme.Twoexamplesareusedtoillustratetheoperationandcomputationalefficiencyoftheapproach.Theresultsoftheseexamplesshowthattheproposedalgorithmscangreatlyreducethecomputationcomplexitywithoutsacrificingthecomputationalaccuracy.Theadvantageoftheproposedschemecanbeevenmoreefficientforanalyzingsophisticstructures.
简介:Theeffectivethermalconductivityofmatrix-inclusion-microcrackthree-phaseheterogeneousmaterialsisinvestigatedwithaself-consistentmicromechanicalmethod(SCM)andarandommicrostructurefiniteelementmethod(RMFEM),IntheSCM,microcracksareassumedtoberandomlydistributedandpen-ny-shapedandinclusionstobespherical,thecrackeffectisaccountedforbyintroducingacrackdensitypa-rameter,theeffectivethermalconductivityisderivedwhichrelatesthemacroscopicbehaviortothecrackdensityparameter.IntheRMFEM,thehighlyirregularmicrostructureoftheheterogeneousmediaisaccu-ratelydescribed,theinteractionamongthematrix-inclusion-microcracksisexactlytreated,theinclusionshapeeffectandcracksizeeffectareconsidered.ANi/ZrO2particulatecompositematerialcontainingran-domlydistributed,penny-shapedcracksisexaminedasanexample.Themainresultsobtainedare:(1)theeffectivethermalconductivityissensitivetothecrackdensityandexhibitsessentiallyalinearrelationshipwiththedensityparameter;(2)theinclusionshapehasasignificanteffectontheeffectivethermalconductiv-ityandapolygon-shapedinclusionismoreeffectiveinincreasingordecreasingtheeffectivethermalconduc-tivitythanasphere-shapedone;and(3)theSCMandRMFEMarecomparedandthetwomethodsgivethesameeffectivepropertyinthecaseinwhichthematrixthermalconductivityλ,isgreaterthantheinclusiononeλ2.Intheinversecaseofλ1<λ2,thetwomethodsagreeastheinclusionvolumefractionandcrackdensityarelowanddifferastheyarehigh.Areasonableexplanationfortheagreementanddeviationbetweenthetwomethodsinthecaseofλ1<λ2ismade.
简介:这篇论文介绍各向异性的损坏理论的应用程序给形成A12024T3铝合金表的限制图的学习。在限制铝板结构的紧张的预言,一个有限元素房间模型被构造了。房间模型由二个阶段,铝合金矩阵和金属间化合的簇组成。铝合金矩阵的材料行为与充分联合的elasto塑料的损坏被描述组成的方程。金属间化合的簇被假定有弹性、易碎。由改变拉长的比率,在二轴的拉长下面的表的限制紧张被使用建议的necking标准预言了。预言在对试验性的调查结果的好同意。而且,有限元素房间模型能为理解铝合金的显微镜的损坏机制提供信息。如果材料损坏的效果在形成学习的表金属被忽略,限制紧张的在评价上可以结果。
简介:Anewadaptivetechniqueofr-andh-versionforvibrationproblemsutilizingthematrixper-turbationtheoryandelementenergyratioisproposed.Instructuralvibrationanalysis,throughther-conver-genceadaptivefiniteelementprocess,meshoptimizationcanberealized.Inthelightofthejudgementonthechangesinthemagnitudeoftheelementenergyratio,localrefinementcanbeachievedintheprocessofh-convergenceadaptivefiniteelementsothatmoreaccuratefiniteelementsolutionscanbeobtainedwithasfewmeshesaspossible.Manynumericalexamplesaregivenandtheproposedapproachisshowntobefeasibleandeffective.