结构统计能量分析子系统自动识别方法研究

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关键词：统计能量分析；模态能量；子系统识别；层次聚类分析；本征正交分解 中图分类号：0321 文献标志码：A DOI：10.16385/j.cnki.issn.1004-4523.202306058

Automatic identification method of structural statistical energy analysis subsystem

CHEN Qiang1，²，DING Yongjun²， ZHANG Dahai1²，FEI Qingguo1，2 （1.SchoolofMechanical Enginering，Southeast University，Nanjing 21189，China;2.KeyLaboratoryofStructureand Thermal Protection forHigh-SpeedAircraft，MinistryofEducation，Nanjing 21l189，China）

Abstract：Statisticalenergyanalysis（SEA）isawidelyusedmethodforanalyzingthehighfrequencydynamicresponseofmechani cal structurs.Thereasonabledivisionofsubsystemsisoneof tecriticalbasisesforSEA.Inthispaper，anautomaticidentification methodof SEAsubsystembasedonorderreduced modalenergydensityandhierarchicalclusteranalysis isdeveloped.First，the structuralmodalenergydensitiesinthehigh-frequencybandareobtainedthroughthediscretefiniteelementmodel.Then，themain featuresofthemodalenergiesareextractedthroughtheproperorthogonaldecomposition.Thesimilarityofthemodalenergydensitybetweendiferentelementsisanalyzdbyhierarchicalclusteranalysis.Finall，thenumberofstatisticaleergyanalysisubsy temsandthecorespondingstructuralelementsareidentified.TheTshapedplates，Ishaped plates，ndenginecombustioncham beraretaken as simulationmodels toverifytheefectiveness of theproposed method.Simulationresults show thatthecouplingre lationshipbetweencomponents，thenumberofsubsystems，andcorespondingelementscanbeautomaticallyidentifiedbyhepro posed method.Then，the SEA model can be established efciently and accurately.

Keywords：statisticalenergyanalysis（SEA）；modalenergy；subsystemidentification；hierarchicalclusteranalysis；proper orthogonal decomposition

运载火箭、航空发动机、高速列车等机械装备在服役过程中承受高频振动载荷[1-4]，会导致结构产生强烈的高频振动响应，严重影响结构功能性和安全性。（剩余12521字）