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Dynamic Stiffness Method for free vibration of composite cylindrical shells containing fluid

•A new model using the Dynamic Stiffness Method is proposed for vibration problems.•Free vibrations of composite cylindrical shells filled with fluid are examined.•The theoretical results agree closely with those obtained from experiments.•The fluid filling can reduce significantly the frequencies o...

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Bibliographic Details
Published in:Applied mathematical modelling 2016-11, Vol.40 (21-22), p.9286-9301
Main Authors: Thinh, Tran Ich, Nguyen, Manh Cuong
Format: Article
Language:English
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Summary:•A new model using the Dynamic Stiffness Method is proposed for vibration problems.•Free vibrations of composite cylindrical shells filled with fluid are examined.•The theoretical results agree closely with those obtained from experiments.•The fluid filling can reduce significantly the frequencies of composite cylinders.•The present solutions are efficient, robust and accurate. The present work deals with a theoretical investigation on free vibration of composite circular cylindrical shells containing fluid. A new precise analytical model using the Dynamic Stiffness Method (DSM) or Continuous Elements (CEM) based on the Reissner–Mindlin theory and non-viscous incompressible fluid equations has been proposed for the studied structures. Numerical examples are given for analyzing natural frequencies and harmonic responses of clamped-free cylindrical shells partially and completely filled with fluid. To compare with the theoretical results, some experimental results have been obtained on the free vibration of a clamped-free glass fiber/polyester cylindrical shells partially filled with water by using a multi-vibration measuring machine (DEWEBOOK-DASYLab 5.61.10). Results calculated by the proposed computational model for studied composite cylindrical shells are in good agreement with experiments.
ISSN:0307-904X
DOI:10.1016/j.apm.2016.06.015