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Dynamic Analysis of Isotropic and Laminated Reinforced Composite Plates Subjected to Flowing Fluid

Alireza Jalali

Masters thesis (2012)

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Cite this document: Jalali, A. (2012). Dynamic Analysis of Isotropic and Laminated Reinforced Composite Plates Subjected to Flowing Fluid (Masters thesis, École Polytechnique de Montréal). Retrieved from https://publications.polymtl.ca/792/
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Abstract

"RÉSUMÉ": Dans ce travail nous examinons le comportement dynamique d’une structure en composite, symétriquement élastique, et d’une plaque anisotrope soumise à un flux de fluide non-visqueux et incompressible. Pour une modélisation mathématique, une combinaison entre la méthode des éléments finis ainsi que la théorie des plaques minces a été utilisée. Pour définir la propriété des composites, un élément rectangulaire anisotrope a été utilisé. La plaque est composée de N couches qui peuvent être fabriquées de fibres unidirectionnelles avec différentes matrices. Ces fibres pourraient être continues, discontinues ou dans un mode aléatoire. L’inertie, la force de Coriolis et la force centrifugeuse du fluide introduisent une pression dynamique qui est modélisée en utilisant la fonction du potentiel de Bernoulli. La condition d’imperméabilité entre la plaque et le fluide est aussi prise en compte. Les matrices de masse et de rigidité pour chaque élément de la plaque ont été calculées par une intégration analytique exacte. Une corrélation assez proche entre la théorie présentée avec les approches expérimentales et Ansys (logiciel d’éléments finis) a été démontrée.----------"ABSTRACT": In situations of fluid and structure, the dynamic behavior of the structure may vary. Structures can lose their stability due to fluid/solid interaction. Modal analysis and the dynamic behavior of elastically symmetrical laminated composites as well as isotropic plates subjected to an incompressible, inviscid flowing fluid are studied in this work using shell and thin plate theories. The effect of stacking sequence and boundary conditions on the natural frequency and static instability of the model are studied. Shear deformation effect is not taken into account. For mathematical modeling, a combination of a hybrid finite element method and classic laminate thin plate theory are used. The finite element is defined as a rectangular thin laminated composite plate with four nodes. Each node has six degrees of freedom to cover all possible movements. The plate consists of N layers that could be made of unidirectional fibers in different matrices and these fibers could be continuous, discontinuous or random modes but in this study in all the examples, models consist of continuous fibers. Inertia, Coriolis and centrifugal fluid forces introduce a dynamic pressure field which is modeled using a velocity potential function and Bernoulli’s equation. This pressure field is a function of the nodal displacement. The impermeability condition between the plate and the fluid is also taken into account. Mass and stiffness matrices for each element of the plate are calculated by exact analytical integration using MATLAB programming software. Close agreement between the presented theory and other sources such as commercial finite element software (ANSYS) and experimental approaches is demonstrated.

Open Access document in PolyPublie
Department: Département de génie mécanique
Dissertation/thesis director: Aouni A. Lakis
Date Deposited: 01 Jun 2012 15:30
Last Modified: 24 Oct 2018 16:10
PolyPublie URL: https://publications.polymtl.ca/792/

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