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Vibration of axisymmetric composite piezoelectric shells coupled with internal fluid
This paper concerns variational formulation and the finite element implementation of the fluid/piezoelectric structure vibration problems. The coupled system consists of a piezoelectric structure (described by its displacement field and its electric potential) containing a compressible fluid (described by its pressure field). With this description, the variational formulation of the coupled problem is established and the corresponding matrix equations are presented. This formulation is then applied to the vibration of axisymmetric conical elastic/piezoelectric composite shells coupled with an internal fluid. The piezoelectric shell is based on Kirchhoff-Love theory and is supposed to be polarized in thickness direction. The associated finite element formulation combines an equivalent single-layer approach for the mechanical behaviour with a layerwise representation of the electric potential in the thickness direction. The fluid is modelled by the Helmholtz equation in terms of pressure. The particular geometry of the structure is used to reduce the dimensions of the problem through a semi-analytical procedure whereby variables are expanded as Fourier series. Following these considerations, the shell is discretized by a one-dimensional element with two nodes, and the fluid by a quadrilateral axisymmetric element with four nodes. Moreover, an appropriate interface element is developed to ensure the interaction between fluid and structure. Finally, numerical examples are presented validating the development of the composite axisymmetric shell element, the piezoelectric aspect and the fluid-structure finite element implementation. In this paper, a non-symmetric fluid/piezoelectric structure formulation has been used. The symmetrization can be carried out using procedures and will be the purpose of a further publication.
Vibration of axisymmetric composite piezoelectric shells coupled with internal fluid
This paper concerns variational formulation and the finite element implementation of the fluid/piezoelectric structure vibration problems. The coupled system consists of a piezoelectric structure (described by its displacement field and its electric potential) containing a compressible fluid (described by its pressure field). With this description, the variational formulation of the coupled problem is established and the corresponding matrix equations are presented. This formulation is then applied to the vibration of axisymmetric conical elastic/piezoelectric composite shells coupled with an internal fluid. The piezoelectric shell is based on Kirchhoff-Love theory and is supposed to be polarized in thickness direction. The associated finite element formulation combines an equivalent single-layer approach for the mechanical behaviour with a layerwise representation of the electric potential in the thickness direction. The fluid is modelled by the Helmholtz equation in terms of pressure. The particular geometry of the structure is used to reduce the dimensions of the problem through a semi-analytical procedure whereby variables are expanded as Fourier series. Following these considerations, the shell is discretized by a one-dimensional element with two nodes, and the fluid by a quadrilateral axisymmetric element with four nodes. Moreover, an appropriate interface element is developed to ensure the interaction between fluid and structure. Finally, numerical examples are presented validating the development of the composite axisymmetric shell element, the piezoelectric aspect and the fluid-structure finite element implementation. In this paper, a non-symmetric fluid/piezoelectric structure formulation has been used. The symmetrization can be carried out using procedures and will be the purpose of a further publication.
Vibration of axisymmetric composite piezoelectric shells coupled with internal fluid
Mechanische Schwingung von mit einem internen Fluid gekoppelten, axialsymmetrischen, piezoelektrischen Verbundschalen
Larbi, W. (author) / Deü, J.F. (author) / Ohayon, R. (author)
International Journal for Numerical Methods in Engineering ; 71 ; 1412-1435
2007
24 Seiten, 7 Bilder, 10 Tabellen, 27 Quellen
Article (Journal)
English
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