三维夹层圆柱壳平稳随机响应分析

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关键词：随机振动；层合-功能梯度夹层材料；三维圆柱壳；统一级数法；虚拟激励法 中图分类号：O324；TB334 文献标志码：A DOI：10.16385/j.cnki.issn.1004-4523.202308026

Stationary random response analysis of three-dimensional sandwiched cylindricalshells

MENG Shuo 1，2 ， ZHONG Rui1，²，WANG Qingshan1，2 （1.College of Mechanical and Electrical Engineering，Central South University，Changsha 41Oo83，China; 2.State Key Laboratory of Precision Manufacturing for Extreme Service Performance，Central South University， Changsha 410083，China）

Abstract：Basedonthethree-dimensionalelasticitytheory，thesmoothstochasticresponsemodelof three-dimensionalsandwiched cylindricalshelsisestablishedbyusingtheunifiedseries methodandthepseudo-excitation method（PEM）.Thecylindricalshel subdomainsaredividedaccordingtotheiterlayerpropertydiferencesoftesandwichmaterialandthekineticnergy，raineer gy，boundarypotentialenergyandsmoothrandomexcitationworkofeachsubdomainareestablished byusing threedimensional elasticitytheorycombinedwiththevirtual excitationmethod.Themechanicalcordinationconditionsbetweenthelayeredsubdo mainsareconvertedintocouplingconditionenergiesbythecouplingpenaltyfunctionmethod，ndthentheoverallenergygeneral izationofthesandwiched cylindrical shellisobtainedbysuperposingtheenergiesofeach subdomain.Thedisplacementcompo nentsof each subdomainareconstructed usingaunifiedlevel expresionand solvedbycombining theRayleigh-Ritz method toobtainthesochasticresponseofthethr-dimensionalsandwichedcylindricalshellstructure.Thecorrectnessofthestochasticesponsemodelisverifiedbycomparisonwithliteratureandfiniteelementresults.Finall，theefectsofthicknesstoradiusratio， lay-upangleoflaminated-functional gradientsandwichmaterialandpowerlawindexontherandomresponseof three-dimensional sandwiched cylindrical shell are analyzed.

Keywords：randomvibration;laminated-functional gradientsandwichmaterial; threedimensionalcylindricalshellunifiedseries method;pseudo-excitation method

夹层材料是指面层和芯层由不同材料组成的一种新型多功能复合材料。（剩余10274字）