简介：Westudiedtheresponseoffractional-ordervandePoloscillatortoGaussianwhitenoiseexcitationinthisletter.Anequivalentintegral-ordernonlinearstochasticsystemisobtainedtoreplacethegivensystembasedontheprincipleofminimummean-squareerror.Throughstochasticaveraging,anaveragedItoequationisdeduced.WeobtainedtheFokker–Planck–KolmogorovequationconnectedtotheaveragedItoequationandsolvedittoyieldtheapproximatestationaryresponseofthesystem.TheanalyticalsolutionisconfirmedbyusingMonteCarlosimulation.

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简介：在这份报纸，静电地激活的nano/micromirrors的开车进入用餐的餐厅行为上的货车derWaals(vdW)力量的效果被调查。首先，最小的势能原则被利用发现方程管理nano/micromirror的静态的行为在下面静电并且vdW力量。然后，静态的平衡点的稳定性用精力方法被分析。当时，它被发现那在那里存在二个平衡点，更小的是稳定的，更大的是不稳定的。镜子开车进入用餐的餐厅角度和开车进入用餐的餐厅电压上的不同设计参数的效果被学习，vdW力量能更加减少镜子的稳定性限制，这被发现。在结束，非线性的平衡方程数字地被解决并且经分解使用homotopy不安方法(HPM)。第六个顺序不安近似罐头精确为镜子行为建模，这被观察。这份报纸的结果能被用于稳定的操作设计和扭力的nano/micro致动器的安全制造。

简介：AbasicmethodtocalculatevanderWaalsdispersionforcedistributionsforsubmicronsuperquadricparticlesinparticle-wallsystemsispresented.Theforcedistributionisachievedbyrotatingparticlesthroughalargenumberofarbitraryspatialorientations,eachtimekeepingconstantthecontactdistancetothewallsurfacewhilecalculatingthedispersionforce.Toaccomplishthis,theuseof2Dparticleshapesuffices,thatis,throughusinganinter-dimensionalfunction,whichhasbeendeterminedpreviously.Afurtherdevelopmentofthemethodwithindigitalimageanalysismayleadtopossibleapplicationstoforecastingthemacroscopicpropertiesofparticlesystems,forexample,flowability,agglomerationbehaviorordispersibility.Forsmallrangesofsuperquadricparticleshapes,eachwithadifferentsize,thewayfromdeterminingtheinter-dimensionalfunctionuptoapplyingimageanalysisisshowninanexample.

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