In this study, aeroelastic analysis of a spherical shell subjected to external supersonic airflow is carried out. The structural model is based on a combination of the linear spherical shell theory and the classic finite element method (FEM). In this hybrid method, the nodal displacements are found from the exact solution of shell governing equations rather than approximated by polynomial functions. Therefore, the number of elements chosen is a function of the complexity of the structure. Convergence is rapid. It is not necessary to choose a large number of elements to obtain good results. Linearized first-order potential (piston) theory with the curvature correction term is coupled with the structural model to account for pressure loading. The linear mass, stiffness, and damping matrices are found using the hybrid finite element formulation. Aeroelastic equations are numerically derived and solved. The results are validated using the numerical and theoretical data available in literature. The analysis is accomplished for spherical shells with different boundary conditions, geometries, flow parameters, and radius to thickness ratios. the results show that the spherical shell loses its stability through coupled-mode flutter. This proposed hybrid FEM can be used efficiently for the design and analysis of spherical shells employed in high speed aircraft structures.
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Ecole Polytechnique de Montréal,
Montréal H3C 3A7,
e-mail: mohamed.menaa@polymtl.ca
Ecole Polytechnique de Montréal,
Montréal H3C 3A7,
e-mail: Aouni.lakis@polymtl.ca
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April 2014
Research-Article
Numerical Investigation of the Flutter of a Spherical Shell
Mohamed Menaa,
Ecole Polytechnique de Montréal,
Montréal H3C 3A7,
e-mail: mohamed.menaa@polymtl.ca
Mohamed Menaa
Department of Mechanical Engineering
,Ecole Polytechnique de Montréal,
C.P. 6079 Succursale Centre-Ville
,Montréal H3C 3A7,
Canada
e-mail: mohamed.menaa@polymtl.ca
Search for other works by this author on:
Aouni A. Lakis
Ecole Polytechnique de Montréal,
Montréal H3C 3A7,
e-mail: Aouni.lakis@polymtl.ca
Aouni A. Lakis
1
Department of Mechanical Engineering
,Ecole Polytechnique de Montréal,
C.P. 6079 Succursale Centre-Ville
,Montréal H3C 3A7,
Canada
e-mail: Aouni.lakis@polymtl.ca
1Corresponding author.
Search for other works by this author on:
Mohamed Menaa
Department of Mechanical Engineering
,Ecole Polytechnique de Montréal,
C.P. 6079 Succursale Centre-Ville
,Montréal H3C 3A7,
Canada
e-mail: mohamed.menaa@polymtl.ca
Aouni A. Lakis
Department of Mechanical Engineering
,Ecole Polytechnique de Montréal,
C.P. 6079 Succursale Centre-Ville
,Montréal H3C 3A7,
Canada
e-mail: Aouni.lakis@polymtl.ca
1Corresponding author.
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received June 3, 2013; final manuscript received October 19, 2013; published online December 24, 2013. Assoc. Editor: Marco Amabili.
J. Vib. Acoust. Apr 2014, 136(2): 021010 (16 pages)
Published Online: December 24, 2013
Article history
Received:
June 3, 2013
Revision Received:
October 19, 2013
Citation
Menaa, M., and Lakis, A. A. (December 24, 2013). "Numerical Investigation of the Flutter of a Spherical Shell." ASME. J. Vib. Acoust. April 2014; 136(2): 021010. https://doi.org/10.1115/1.4025997
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