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Composite vibration analysis of laminated cylindrical panels semi-analytical solution

Static , dynamic and stability problems with exact solutions . Science in China (A Series ). 1993f (6): 623632BhimaraddiA · ChandrashekharaKThree-dimensionalelasticitysolutionforstaticresponseofsimply'supportedorthotropiccylindricalshellsCompositeStructures, 1993'20: 227235FengKang · QinMengzhao. HamiltonianalgorithmsforHamiltoniansystemsandacomparativenumerl-calstudy. ComputerPhysicsCommunications,[link widoczny dla zalogowanych], l991I65 :173-187 Tang Limin . Mixed elasticity equations and Hamilton canonical equations . Computational Structural Mechanics and Applications . 1991I8 (4) :343-350 Tang Limin and so on. Mixed state Hamiltonian element of the semi-analytical solution and the laminated plate calculations. Computational Structural Mechanics and Applications . 1992I9 (4) :347-36OSaadaAS. Elasticitytheoryandapplications. NewYork: PergamonPress, 1974 [ United States : H. Goldstein Classical mechanics . 2 . Beijing: Science Press. 1986 [ U.S. ] Grob GH, Wan Luo CF. Matrix calculation. Dalian: Dalian University Press Du ,[link widoczny dla zalogowanych], 1988Semi-AnalyticalSolutionforFreeVibrationofLaminatedCompositeCylindricalPanelsWangZhigttOZhuDemao (ResearchInstituteofVibrationEngineering · NanjingUniversity0fAeronautics & AstronauticsNanjing · 210016) TangLiminResearchInstituteofEngineeringMechanics · DalianUniversityofTechnologyDalian · l16023) AbstractThispaper. throughtheuseofthree-dimensional (3-D) elasticitytheory, solvestheproblemofalami-hatedcompositecylindricalpane1. Inthecylindricalcoordinatesystem · the3-DelasticitytheoryisexpressedasaHamfltonianformalism, andavariationalprincipleisobtained. Thenusingthefiniteelementmethod, asemi-analyticalsolutionisdeveloped,[link widoczny dla zalogowanych], whichovercomestheshortcomingsofthenumericalsolutionbasedonthe2-Daproxlmatetheoryandthecompleteanalyficalsolution. Thenumericalexamplesdemonstratethatthepresentmethodisefficient. Keywords: elastictheorytHamiltonsprincipletsemi-analyticsetsdaminatedcylindricalpane] 3456,[link widoczny dla zalogowanych],. 89

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