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Free vibrations of orthotropic sandwich conical shells with various boundary conditions

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TLDR
In this article, an analysis of axisymmetric and unsymmetric free vibrations of conical or cylindrical shells with various boundary conditions is presented, where Love's first-approximation shell theory, with transverse shear strain added, was used and solutions were obtained by Galerkin's method.
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This article is published in Journal of Sound and Vibration.The article was published on 1970-10-01. It has received 78 citations till now. The article focuses on the topics: Orthotropic material & Boundary value problem.

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Free vibration of carbon nanotubes reinforced (CNTR) and functionally graded shells and plates based on FSDT via discrete singular convolution method

TL;DR: In this paper, free vibration analysis of conical and cylindrical shells and annular plates made of composite laminated and functionally graded materials (FGMs) is investigated for FGM cases.
Journal ArticleDOI

Composite Material Mechanics: Structural Mechanics

TL;DR: In this paper, the authors present a survey of the structural mechanics of composite materials, focusing on the macromechanical structural analysis of various structural elements, including response under conditions of stable static loading, buckling, and dynamics.
Journal ArticleDOI

Free vibration of orthotropic conical shells

TL;DR: In this article, a simple and exact solution procedure for linear free vibration of isotropic and orthotropic conical shells is presented, in the form of a power series in terms of a particularly convenient coordinate system, obtained directly from the governing equations for the three displacements.
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A generalized layerwise finite element for multi-layer damping treatments

TL;DR: In this paper, a 4-node facet type quadrangular shell finite element based on a layerwise theory was developed for dynamic modeling of laminated structures with viscoelastic damping layers.
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Free vibration of composite laminated conical shells

TL;DR: In this article, a simple and exact solution was obtained directly for the Donnell-type governing equations of the free vibration of composite laminated conical shells, with orthotropic stretching-bending coupling.
References
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Journal ArticleDOI

Influence of Boundary Conditions on the Modal Characteristics of Thin Cylindrical Shells

TL;DR: In this article, the modal characteristics of thin cylindrical shells have been determined for all sixteen sets of homogeneous boundary conditions, at each end of the shell (each set contains four conditions).
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Free Vibrations of Conical Shells

TL;DR: In this article, the frequency spectrum of isotropic simply supported conical shells was predicted using linear shell theory and the experimental data were compared with equivalent cylindrical shell theory.
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Vibrations of Orthotropic Cylindrical Sandwich Shells under Initial Stress

TL;DR: In this article, a linearized theory of motion of cylindrical sandwich shells, subjected to a general state of initial stress, is established, and the effects of orthotropic core and orthotropic facing sheets of unequal thickness are included.
Journal ArticleDOI

Unsymmetric free vibrations of orthotropic sandwich shells of revolution.

TL;DR: In this article, Love's first-approximation shell theory, with transverse-shear deformation and sandwich effects added, is used, and all components of translational and rotatory inertia are included.

A theoretical analysis of the free vibration of discretely stiffened cylindrical shells with arbitrary end conditions.

TL;DR: Free vibration of discretely stiffened cylindrical shells with arbitrary end conditions programmed for digital computer, considering flexure, extension, torsion and nonsymmetric stiffener cross section as mentioned in this paper.
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