第42卷第2期2023年3月Vol.42No.2Mar.2023JOURNALOFHENANPOLYTECHNICUNIVERSITY（NATURALSCIENCE）河南理工大学学报（自然科学版）含孔隙功能梯度材料截锥壳的动力稳定性研究黄小林，刘思奇，张燕宁，吴迪（桂林电子科技大学建筑与交通工程学院，广西桂林541004）摘要：为研究含孔隙功能梯度材料截锥壳的动力稳定性，用改进的混合律计算壳体的有效物性参数。基于经典薄壳理论建立含孔隙功能梯度材料截锥壳在轴向周期荷载作用下的动力稳定方程，并用Galerkin法和Bolotin法计算简支边界下的动力稳定区域。通过参数分析，系统讨论孔隙类型、半锥角和孔隙率对动力稳定的影响。结果显示，临界激励频率和非稳定区域宽度随半锥角、材料组分指数的增大而减小，随材料组分质量分数的增大而增大。与孔隙均匀分布的壳体相比，非均匀分布的壳体动力稳定性对孔隙率的变化更加敏感。另外，面内拉力可显著提高壳体的动力稳定性。关键词：功能梯度材料；截锥壳；孔隙；动力稳定中图分类号：TB333文献标志码：A文章编号：1673-9787（2023）2-153-7StudyonthedynamicstabilityofporousfunctionallygradedconicalshellHUANGXiaolin，LIUSiqi，ZHANGYanning，WUDi（SchoolofArchitectureandTransportationEngineering，GuilinUniversityofElectronicTechnology，Guilin541004，Guangxi，China）Abstract：Anmodifiedmodelfortheeffectivematerialpropertiesofporousfunctionallygradedconicalshellwasdevelopedtostudythedynamicstabilityoftheshell.Thedynamicstabilityequationswiththeeffectofanaxialperiodicloadwerederivedintheframeoftheclassicalthinshelltheory.GalerkinandBolotinmethodswereemployedtodeterminetheunstableregionoftheshellwithsimplysupportedboundaries.Theeffectsofporositydistributions，semi-vertexanglesandporositycoefficientsonthedynamicstabilitywerediscussedbyusingparametricanalysis.Itwasshownthatthecriticalexcitationfrequencyandunstablere⁃gionaredecreasedwiththeincreasesofsemi-vertexangleandmaterialcompositionindex，andincreasedwiththeriseofmaterialqualitycomponent.Comparedwiththedynamicstabilityoftheshellcontainingevenlydistributedpores，thatoftheshellcontainingunevenlydistributedporeswasmoresensitivetochangeporositycoefficient.Moreover，in-planetensileforcescouldeffectivelypromotet...
