三維夾層圓柱殼平穩(wěn)隨機響應(yīng)分析

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關(guān)鍵詞：隨機振動；層合-功能梯度夾層材料；三維圓柱殼；統(tǒng)一級數(shù)法；虛擬激勵法 中圖分類號：O324；TB334 文獻標志碼：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

夾層材料是指面層和芯層由不同材料組成的一種新型多功能復合材料。（剩余10274字）