应变梯度双层微梁的动力学建模与振动特性研究

打开文本图片集

关键词：修正应变梯度理论；精化高阶剪切变形理论；双层微梁；弱形式求积元；模态置信准则 中图分类号：0326 文献标志码：A DOI：10.16385/j.cnki.issn.1004-4523.20250804：

Dynamic modeling and vibration characteristics of strain gradient double-layered microbeam

HUANGNingchuan’，ZHANGBo1，WENPengjun'，LI Cheng²，ZHANG Xu' （1.SchoolofMechanics and Aerospace Engineering，Southwest Jiaotong University，Chengdu 61oo31，China; 2.Schoolof Automotive Engineering，Changzhou Institute of Technology，Changzhou ，China）

Abstract：Byintegratingthemodifiedstraingradienttheory（MSGT）andtherefiedhigherordersheardeformationtheory（RHSD，this studyproposesadynamicmodelforadouble-layeredmicrobeamconnectedbyaWinkler-Pasternakelasticinterlayer.Tegoveing diferentialequationsandboundaryconditionswere derived.Forthecase wherebothupperandlowerbeams aresimplysupportedatboth ends，theanalyticaloutionforthesytem’sfreevibrationwasobtaiedusingNavirsmetodToeficientlysolvecomplexboundaryvalue problemsa3-node weak-formquadratureelementbasedonthe Gauss-Lobatoquadratureandthediferentialquadraturemethodwas developed，featuring C2 continuity.Following rigorous validation of the model's effectiveness，the energy participation criterion （EPC）and themodalasuaceieoACereitrodcedtvesigateteifueneofatealsaleraeendeasticitef onthesystem'svibationfrequenciesandmodesaps.Itisevealedtatsheardeformationeectssignificantlyimpacthgheroderodes， withthisinflucedmisgastedestieass；tlaritweakerboudaryostratstyicallydoatestevibatin initialyfolowedynalteatigdomiancepatewitheoreconstraiedlye;thlasticitelayerpysaiticaloleduring asynchronousvbatiomodsndangesinitstifscaniuceodtrasioona.TeCantitativelyactete mechanismsbywhichinterlayerstifnessandmaterialscaleparametersinfluencesystemmodelocalizationandtransitionbhaviorThe developedmodelandmethodologyprovideanefectivetheoreticalframeworkandbenchmarkdatafopredictingandanalyzingthedyamic behaviorofmult-ayermicrobeamdevicesinmicroelectro-mechanicalsystems（MEMs），oferingvaluableinsightsfortheroptiized design.

eywords：odifidstraingradienttheory;refiedhigher-ordersheardeformationtheory;double-lyeredmicrobeam;weak-foqadrature element; modal assurance criterion

在工程结构力学领域，梁/板/壳以其轻质高刚度与优异承载效率成为机械、土木及航空航天等工程领域不可或缺的核心承力构件。（剩余14622字）