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Supersonic flutter of a spherical shell partially filled with fluid

Mohamed Menaa et Aouni A. Lakis

Article de revue (2014)

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Abstract

In the present study, a hybrid finite element method is applied to investigate the dynamic behavior of a spherical shell partially filled with fluid and subjected to external supersonic airflow. The structural formulation is a combination of linear spherical shell theory and the classic finite element method. In this hybrid method, the nodal displacements are derived from exact solution of spherical shell theory rather than approximated by polynomial functions. Therefore, the number of elements is a function of the complexity of the structure and it is not necessary to take a large number of elements to get rapid convergence. Linearized first-order potential (piston) theory with the curvature correction term is coupled with the structural model to account for aerodynamic loading. It is assumed that the fluid is incompressible and has no free surface effect. Fluid is considered as a velocity potential at each node of the shell element where its motion is expressed in terms of nodal elastic displacements at the fluid-structure interface. Numerical simulation is done and vibration frequencies are obtained. The results are validated using numerical and theoretical data available in literature. The investigation is carried out for spherical shells with different boundary conditions, geometries, filling ratios, flow parameters, and radius to thickness ratios. Results show that the spherical shell loses its stability through coupled-mode flutter. This proposed hybrid finite element method can be used efficiently for analyzing the flutter of spherical shells employed in aerospace structures at less computational cost than other commercial FEM software.

Mots clés

Vibration; Spherical shell; Flutter; Hybrid FEM

Sujet(s): 2100 Génie mécanique > 2100 Génie mécanique
2200 Mécanique des fluides > 2200 Mécanique des fluides
Département: Département de génie mécanique
URL de PolyPublie: https://publications.polymtl.ca/5027/
Titre de la revue: American Journal of Computational Mathematics (vol. 4, no 3)
Maison d'édition: Scientific Research Publishing Inc.
DOI: 10.4236/ajcm.2014.43014
URL officielle: https://doi.org/10.4236/ajcm.2014.43014
Date du dépôt: 11 août 2022 14:00
Dernière modification: 09 juin 2023 18:49
Citer en APA 7: Menaa, M., & Lakis, A. A. (2014). Supersonic flutter of a spherical shell partially filled with fluid. American Journal of Computational Mathematics, 4(3), 153-182. https://doi.org/10.4236/ajcm.2014.43014

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