Non-linear Vibrations of Deep Cylindrical Shells by the p-Version Finite Element Method
TLDR
In this paper, a p-version shell finite element based on the shallow shell theory is employed to study vibrations of deep cylindrical shells, and the linear natural frequencies of different shells, with various boundary conditions, are computed.Abstract:
A p-version shell finite element based on the so-called shallow shell theory is for the first time employed to study vibrations of deep cylindrical shells. The finite element formulation for deep shells is presented and the linear natural frequencies of different shells, with various boundary conditions, are computed. These linear natural frequencies are compared with published results and with results obtained using a commercial software finite element package; good agreement is found. External forces are applied and the displacements in the geometrically non-linear regime computed with the p-model are found to be close to the ones computed using a commercial FE package. In all numerical tests the p-FE model requires far fewer degrees of freedom than the regular FE models. A numerical study on the dynamic behaviour of deep shells is finally carried out.read more
Citations
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Journal ArticleDOI
Non-linear vibrations of shells: A literature review from 2003 to 2013
Farbod Alijani,Marco Amabili +1 more
TL;DR: In this paper, a review of geometrically non-linear free and forced vibrations of shells made of traditional and advanced materials is presented, including closed shells and curved panels made of isotropic, laminated composite, piezoelectric, functionally graded and hyperelastic materials.
Journal ArticleDOI
Non-linear modes of vibration of thin cylindrical shells in composite laminates with curvilinear fibres
TL;DR: In this paper, a formulation applicable to free, periodic, geometrically non-linear vibrations of thin shallow shells made of composite layers with curvilinear fibres is presented.
Journal ArticleDOI
Modal analysis of a Variable Stiffness Composite Laminated plate with diverse boundary conditions: Experiments and modelling
TL;DR: In this article, the modes of vibration of a Variable Stiffness Composite Laminate were obtained by experimental modal analysis and compared with the ones resulting from theoretical/mathematical models.
Journal ArticleDOI
Linear modes of vibration of cylindrical shells in composite laminates reinforced by curvilinear fibres
TL;DR: In this paper, a p-version finite element type formulation is developed for the modes of vibration of thin cylindrical shells made up of layers with curvilinear fibres (variable stiffness composite laminates) in the linear regime.
Journal ArticleDOI
Forced periodic vibrations of cylindrical shells in laminated composites with curvilinear fibres
Pedro Ribeiro,Stanislav Stoykov +1 more
TL;DR: In this paper, the forced vibrations of cylindrical shells with variable stiffness were analyzed by the principle of virtual work in conjunction with a p-version finite element formulation, where external harmonic excitations are applied to the shell and periodic responses are sought, therefore the solution can be expressed in a Fourier series.
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