Weak Formulation Study For Thermoelastic Buckling Analysis Of Thick Laminated Cylindrical Shells

Weak formulations of mixed state equations of closed laminated cylindrical shells are presented in the Hamilton System. The Hamilton canonical equation of closed cylindrical shell is established. By means of applying the transfer matrix method and taking the advantage of Hamiltonian matrix in the ca...

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Main Author: Ding Kewei
Format: Article
Language:English
Published: University of Zielona Góra 2015-08-01
Series:International Journal of Applied Mechanics and Engineering
Subjects:
Online Access:https://www.ijame-poland.com/Weak-Formulation-Study-For-Thermoelastic-Buckling-Analysis-Of-Thick-Laminated-Cylindrical,167170,0,2.html
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author Ding Kewei
author_facet Ding Kewei
author_sort Ding Kewei
collection DOAJ
description Weak formulations of mixed state equations of closed laminated cylindrical shells are presented in the Hamilton System. The Hamilton canonical equation of closed cylindrical shell is established. By means of applying the transfer matrix method and taking the advantage of Hamiltonian matrix in the calculation, a unified approach and three-dimensional thermoelastic solutions are obtained for the buckling analysis of closed thick laminated cylindrical shells. All equations of elasticity can be satisfied and all elastic constants can be taken into account. Numerical results are given to compare with those of FEM calculated using SAP5. The principle and method suggested here have clear physical concepts. The equations and boundary conditions proposed in this paper are weakened. The solutions and results given here may serve as a benchmark for other numerical procedures.
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spelling doaj.art-25b39ae7239542a1a82f01f3e468a37e2023-08-08T14:47:02ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032015-08-0120346147010.1515/ijame-2015-0031167170Weak Formulation Study For Thermoelastic Buckling Analysis Of Thick Laminated Cylindrical ShellsDing Kewei0School of Civil Engineering, Anhui Jianzhu University, Hefei 230601, Anhui, P.R. CHINAWeak formulations of mixed state equations of closed laminated cylindrical shells are presented in the Hamilton System. The Hamilton canonical equation of closed cylindrical shell is established. By means of applying the transfer matrix method and taking the advantage of Hamiltonian matrix in the calculation, a unified approach and three-dimensional thermoelastic solutions are obtained for the buckling analysis of closed thick laminated cylindrical shells. All equations of elasticity can be satisfied and all elastic constants can be taken into account. Numerical results are given to compare with those of FEM calculated using SAP5. The principle and method suggested here have clear physical concepts. The equations and boundary conditions proposed in this paper are weakened. The solutions and results given here may serve as a benchmark for other numerical procedures.https://www.ijame-poland.com/Weak-Formulation-Study-For-Thermoelastic-Buckling-Analysis-Of-Thick-Laminated-Cylindrical,167170,0,2.htmlweak formulationsbuckling analysislaminated cylindrical shellsthermoelastichamilton canonical equation
spellingShingle Ding Kewei
Weak Formulation Study For Thermoelastic Buckling Analysis Of Thick Laminated Cylindrical Shells
International Journal of Applied Mechanics and Engineering
weak formulations
buckling analysis
laminated cylindrical shells
thermoelastic
hamilton canonical equation
title Weak Formulation Study For Thermoelastic Buckling Analysis Of Thick Laminated Cylindrical Shells
title_full Weak Formulation Study For Thermoelastic Buckling Analysis Of Thick Laminated Cylindrical Shells
title_fullStr Weak Formulation Study For Thermoelastic Buckling Analysis Of Thick Laminated Cylindrical Shells
title_full_unstemmed Weak Formulation Study For Thermoelastic Buckling Analysis Of Thick Laminated Cylindrical Shells
title_short Weak Formulation Study For Thermoelastic Buckling Analysis Of Thick Laminated Cylindrical Shells
title_sort weak formulation study for thermoelastic buckling analysis of thick laminated cylindrical shells
topic weak formulations
buckling analysis
laminated cylindrical shells
thermoelastic
hamilton canonical equation
url https://www.ijame-poland.com/Weak-Formulation-Study-For-Thermoelastic-Buckling-Analysis-Of-Thick-Laminated-Cylindrical,167170,0,2.html
work_keys_str_mv AT dingkewei weakformulationstudyforthermoelasticbucklinganalysisofthicklaminatedcylindricalshells