简介：有在紧张和压缩的不同moduli的材料被称为双性人模量材料。Graphene是有最高的力量和最薄的厚度的如此的一种材料。在这份报纸，受到温度效果并且放了在Winkler地基上的双性人模量横梁的机械反应被学习。关于中立的轴位置和双性人模量基础横梁的正常紧张的未经决定的参数的微分方程被建立。然后，地基横梁的正常压力，弯曲时刻，和排水量的分析表情被导出。同时，一个计算过程基于有限元素方法(女性)被开发获得双性人模量结构的温度压力。获得的双性人模量解决方案能恢复古典模量解决方案，这被显示出，并且结果由分析表达式，现在的女性的过程，和传统的女性的软件获得是一致的，它验证现在的分析模型和过程的精确性和可靠性。最后，双性人模量结果之间的差别和古典一样的模量结果被讨论，并且为在实际工程计算并且优化某些双性人模量成员的几个合理建议被介绍。

简介：Inthispaper,thebendingproblemofrectangularthinplateswithfreeedgeslaidontensionlessWinklerfoundationhasbeensolvedbyemployingFourierserieswithsupplementaryterms.Byassumingproperformofseriesfordeflection,thebasicdifferentialequationwithgivenboundaryconditionscanbetransformedintoasetofinfinitealgebraicequations.Becausetheboundaryofcontactregioncannotbedeterminedinadvance.theseequationsareweaknonlinearones.Theycanbesolvedbyusingiterativeprocedures.

简介：Parametricresonanceisoneofthemostimportantissuesinthestudyofdynamicalbehaviorofstructures.Inthispaper,dynamicinstabilityofamoderatelythickrectangularplateonanelasticfoundationisinvestigatedinthecaseofparametricandexternalresonancesduetoperiodicpassageofmovingmasses.Thegoverningcoupledpartialdifferentialequations(PDEs)ofthesystem,withconsiderationofthefirst-ordersheardeformationtheory(FSDT)orMindlinplatetheory,arepresentedandtheyarereducedtoasetofordinarydifferentialequations(ODEs)withtime-dependentcoefficientsusingtheGalerkinprocedure.Allinertialcomponentsofthemovingmassesareadoptedinthedynamicalformulation.Instabilitysurveyiscarriedoutforthreedifferentloadingtrajectoriesconsiderablyinterestedinmanypracticalapplicationsoftheissue,i.e.rectilinear,diagonalandorbitingtrajectories.Inordertoanalyzetheresonanceconditions,theincrementalharmonicbalance(IHB)methodisintroducedtocalculateinstabilityboundaries,aswellasexternalresonancecurvesinparametersplane.Acomprehensivestudyisdonetoassesseffectsofthicknessratioandfoundationstiffnessontheresonanceconditions.Itisfoundthatanincreaseintheplate'sthicknessratioleadstoareductioninvaluesofcriticalparameters.Moreover,itisobservedthatincreasingthefoundationstiffnessmovestheinstabilityregionsandresonaneecurvestohigherfrequenciesofthemovingmassesandalsoleadstofurtherstabilityoftheparametricallyexcitedsystematlowerfrequencies.TimeresponsesimulationsdoneviaRunge-KuttamethodconfirmedtheresultspredictedbyIHBmethod.