Journal ArticleDOI
Dynamics of the geometrically non-linear analysis of anisotropic laminated cylindrical shells
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In this article, a general approach based on shearable shell theory was proposed to predict the influence of geometric nonlinearities on the natural frequencies of an elastic anisotropic laminated cylindrical shell incorporating large displacements and rotations.Abstract:
A general approach, based on shearable shell theory, to predict the influence of geometric non-linearities on the natural frequencies of an elastic anisotropic laminated cylindrical shell incorporating large displacements and rotations is presented in this paper. The effects of shear deformations and rotary inertia are taken into account in the equations of motion. The hybrid finite element approach and shearable shell theory are used to determine the shape function matrix. The analytical solution is divided into two parts. In part one, the displacement functions are obtained by the exact solution of the equilibrium equations of a cylindrical shell based on shearable shell theory instead of the usually used and more arbitrary interpolating polynomials. The mass and linear stiffness matrices are derived by exact analytical integration. In part two, the modal coefficients are obtained, using Green's exact strain–displacement relations, for these displacement functions. The second- and third-order non-linear stiffness matrices are then calculated by precise analytical integration and superimposed on the linear part of equations to establish the non-linear modal equations. Comparison with available results is satisfactorily good.read more
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Journal ArticleDOI
Recent research advances on the dynamic analysis of composite shells: 2000-2009
TL;DR: A review of the state-of-the-art in the area of dynamic analysis of composite shells can be found in this article, where the main aim is to provide a broad perspective of the current state of the art in this field.
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
Nonlinear vibration of a rotating laminated composite circular cylindrical shell: traveling wave vibration
TL;DR: In this article, the large-amplitude (geometrically nonlinear) vibrations of rotating, laminated composite circular cylindrical shells subjected to radial harmonic excitation in the neighborhood of the lowest resonances are investigated.
Journal ArticleDOI
Nonlinear vibrations of laminated circular cylindrical shells: Comparison of different shell theories
TL;DR: In this article, the geometrically nonlinear forced vibrations of laminated circular cylindrical shells are studied by using the Amabili-Reddy higher-order shear deformation theory.
Journal ArticleDOI
Nonlinear vibration characteristics of fibre reinforced composite cylindrical shells in thermal environment
Hui Li,Hui Li,Haiyu Lv,Haiyu Lv,Jianfei Gu,Jianfei Gu,Jian Xiong,Qingkai Han,Qingkai Han,Jinguo Liu,Zhaoye Qin +10 more
TL;DR: In this article, an analytical model for fiber reinforced polymer composite cylindrical shells (FRPCCSs) accounting for material and geometric nonlinearities and thermal effect is proposed, which is capable of predicting natural frequencies, damping ratios, and resonant responses under different excitation amplitudes and temperatures.
References
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Book
Analytical Methods in Vibrations
TL;DR: In this paper, a book on analytical methods in vibrations covering general mathematical formulations of common features of various vibrating systems is presented, including a mathematical formulation of a vibrational model.
Journal ArticleDOI
Nonlinear theories for thin shells
TL;DR: In this article, a starting point for stability investigations or other problems where the effects of deformation on equilibrium cannot be ignored, but in which the rotations are not too large.
Journal ArticleDOI
Exact Solutions of Moderately Thick Laminated Shells
TL;DR: An extension of the Sanders shell theory for doubly curved shells to a shear deformation theory of laminated shells is presented in this paper, which accounts for transverse shear strains and rotation about the normal to the shell midsurface.
Book
Elastostatics and Kinetics of Anisotropic and Heterogeneous Shell-Type Structures
Liviu Librescu,J. G. Simmonds +1 more
TL;DR: The anvatquynhon.xyz project as discussed by the authors is a high quality resource for free books books, including classics and out-of-print books, which is compatible for Kindles, Nooks, iPads and most e-readers.
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