用于变铺层角层合锥壳振动特性研究的谱偏移勒让德单元法

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中图分类号：TH113.1 文献标志码：A DOI:10.16385/j.cnki.issn.1004-4523.202401043

（，黑龙江哈尔滨)

Spectral shifted Legendre element method for the study of vibration characteristics of laminated conical shells with variable ply angles

YANG Yuhang,JINGuoyong,YE Tiangui,CHEN Yukun,LIUHaoran (College of Power and Energy Engineering，Harbin Engineering University，Harbin 150o01，China

Abstract:ThispaperproposesaspectralshiftedLegendreelementmetodforinvestigatingtevibrationcaracteristicsoflamiatedcoical shellswitharbleplyglesIsetod,tetealoftegedessichisipleiructuradableinriss mappedtoashiftedLegendreseries.ByemployingtheinerproductmatrixanddiferentialmatrixoftheshiftedLegendreseries,the integratioadetatiooatiosfrtrsipldinoofpodctsalgstralutioofbatoa andthusgreatlyiprovingthecomputatioaleficiencyOntisbasisdomainecompositiomethodisfurtherintroducedtoaliete solutioofvibrationproblemsoflaminatedconicalshellswithvariableplyangleswithintheframeworkofthespectralshiftedLegendre elementmethod.Troughconvergenceanalysisandcomparisonwithexisting lierature,itisprovedthattheproposedmethodhasgood convergenceadighcuracyFurthere,tfreevbatioaractestsofatedocalsellsitableplyglsudied andtheffectsofdiferentperodumbersandplyanglesontheirfreevibrationcharacteristicsaredplyaalyed.Theresultsshowthat variableplygessatlecttaualfeesofaaedcalsellndagsgesadevy concentration,thus realizing more complex vibration modes.

Keywords:spectral shiftedLegendreelement method;domaindecompositionmethod; laminatedconicalsels with varying plyangles

复合材料由于其卓越的物理特性和极高的设计灵活性，在航空航天、汽车制造和建筑工程等关键领域发挥着重要作用。（剩余19966字）