简介:Thealmostsurestabilityofhomogeneousviscoelasticplatessubjectedtoarandomwide-bandstationaryin-planeloadisinvestigated.TheviscoelasticbehavioroftheplateisdescribedintermsoftheBo-ltzmannsuperpositionprinciple,therelaxationkernelsofwhicharerepresentedbythesumsofexponents.Ontheassumptionthatthein-planeloadisrandomwide-bandstationaryprocess,sufficientconditionsforal-mostsurestabilityofviscoelasticplatesareobtainedbytheapplicationsofLyapunov’sdirectmethod.
简介:Inthepast,thepseudo-staticmethodusedtobethemostcommonforevaluatingthestabilityoflandslidesunderseismicloads,inwhichstaticforcesactingonthecenterofgravityofaslidingbodyareusedtoconsidertheeffectsofearthquake.However,seismicloadsofrockandsoildifferfromtimeandlocationtotimeandlocation.Obviously,itisirrationalforthepseudo-staticapproachtobeappliedtosolvingdynamicproblems.Inthispaper,adisplacementpseudo-dynamicmodelisproposedtoassessseismicstabilityoflandslides,inwhichthesinusoidalcosinusoidalwaveisappliedtosimulatingearthquakedisplacement,andan'amplificationfactor'ofpeakseismicdisplacementisreferredtoastheamplificationofseismicwavewhenitpropagatesfromthebottomtothetopofthelandslide.Theeffectsofphysico-mechanicalbehaviorsofaslidingbodyonseismicstabilityofsoilslopesaretakenintoaccountaswellasinertiaforcesanddampingforces.Thesensitivityanalysesonthepermanentdisplacementandthedynamicfactorofsafetyoflandslidesarestudiedindetail.Moreover,alarge-scaleTangjiashanlandslidethatoccurredinWenchuanearthquakeisinvestigatedtoverifytherobustnessandprecisionofthepresentmethod.Itisfoundthattheresultsfromthepresentmethodisingoodagreementwiththosefromthepreviousmethod.
简介:Thispaperappliesthestochasticfiniteelementmethodtoanalysethestatisticsofstressesinearthdamsandassessthesafetyandreliabilityofthedams.Formulationsofthestochasticfiniteelementmethodarebrieflyreviewedandtheprocedureforassessingdam’sstrengthandstabilityisdescribed.Asanexample,adetailedanalysisforanactualdam-Nululindamisperformed.Apracticalmethodforstudyingbuilt-damsbasedontheprototypeobservationdataisdescribed.
简介:ThispaperpresentsanattemptattheapplicationofcatastrophetheorytothestabilityanalysisofJ-controlledcrackgrowthinthree-pointbendingspecimens.ByintroducingthesolutionsofJ-integralinthecompletelyyieldingstatefortheidealplasticmaterial,thecriticalconditionoflosingstabilityforthecrackpropagationinthespecimenisobtained,basedonthecuspcatastrophetheory.Theprocessofthecrackgrowthfromgeometricalsenseisdescribed.
简介:BasedontheFloquettheoryonordinarydifferentialequationswithperiodicallyvariablecoefficientsandthebifurcationapproachtononlinearequations,anumericalapproachtodeterminingthestabilityregionofcontrolparametersisestablishedforadynamiccontrolsystemcomposedofamovingbodylevitatedmagneticallyoverflexibleguideways.Thesystemisnonlinearlycoupledamongtheelasticdeformationofguideways,disturbancethelevitationpositionofthebodyandelectromagneticcontrolforces.Thenumericalsimulationisgivenforthesysteminthecaseinwhichthecontrolparametersaretakenwithinandoutofthestabilityregionrespectively.Resultsshowthatthisapproachisreliable.
简介:处于在边界随机刺激下面的飞机紧张状态的压电的厚壳的随机的反应与压电的圆柱的壳被学习并且说明。为电的潜力的微分方程放射状地是综合的作为排水量的功能获得电的潜力。随机的压力边界条件被转变变换成同类的,它在随机的刺激下面为排水量产出电、机械的联合微分方程。然后,这个部分微分方程用Galerkin方法和Legendre多项式被变换成平常的微分方程,它与不对称的僵硬矩阵代表一个随机的multi-degree-of-freedom系统由于电、机械联合并且转变边界条件。频率反应功能矩阵和反应力量光谱系统的密度矩阵基于随机的颤动的理论被导出。吝啬平方的排水量和压电的壳的电的潜力最后被获得,并且频率反应特征和电、机械的联合性质被探索。