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Free vibration of axially loaded composite beams with general boundary conditions using hyperbolic shear deformation theory

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TLDR
In this article, the spectral finite element method is adopted with particular reference to the Wittrick-Williams algorithm when investigating the free vibration of axially loaded composite beams, and the exact spectral element matrix is established by directly solving the governing differential equations of the laminated beams in free vibration.
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This article is published in Composite Structures.The article was published on 2013-03-01. It has received 23 citations till now. The article focuses on the topics: Rotary inertia & Finite element method.

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Bending, buckling and free vibration of laminated composite and sandwich beams: A critical review of literature

TL;DR: A critical review of literature on bending, buckling and free vibration analysis of shear deformable isotropic, laminated composite and sandwich beams based on equivalent single layer theories, layerwise theories, zig-zag theories and exact elasticity solution is presented in this paper.
Journal ArticleDOI

Equivalent single layer theories for composite and sandwich structures: A review

TL;DR: In this article, the displacement field is expressed in terms of polynomials functions of the transverse variables while in the second category, non-polynomial functions are used.
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A new higher-order shear and normal deformation theory for functionally graded sandwich beams

TL;DR: In this paper, a new refined hyperbolic shear and normal deformation beam theory is developed to study the free vibration and buckling of functionally graded (FG) sandwich beams under various boundary conditions.
Journal ArticleDOI

Buckling and postbuckling behavior of shear deformable anisotropic laminated beams with initial geometric imperfections subjected to axial compression

TL;DR: In this article, the buckling and postbuckling behavior of shear deformable anisotropic laminated composite beams with initial imperfection subjected to axial compression is presented.
Journal ArticleDOI

Free vibration analysis of axially loaded laminated composite beams with general boundary conditions by using a modified Fourier–Ritz approach:

TL;DR: In this paper, a modified Fourier-Ritz approach has been adopted to analyze the free vibration of axially loaded laminated composite beams with arbitrary layup and general boundary conditions, which include classical boundaries, elastic boundaries, and their combination.
References
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Book

The behavior of structures composed of composite materials

TL;DR: In this paper, the authors introduce the concept of anisotropic elasticity and composite Laminate Theory for composite materials, and present a test standard for polymer matrix composites.
Journal ArticleDOI

Mechanical behaviour of laminated composite beam by the new multi-layered laminated composite structures model with transverse shear stress continuity

TL;DR: In this paper, the authors presented a new multi-layer laminated composite structure model to predict the mechanical behavior of multi-layered composite structures from both a static and dynamic point of view.
Journal ArticleDOI

A transverse shear deformation theory for homogeneous monoclinic plates

TL;DR: In this article, a general two-dimensional theory suitable for the static and/or dynamic analysis of a transverse shear deformable plate, constructed of a homogeneous, monoclinic, linearly elastic material and subjected to any type of shear tractions at its lateral planes, is presented.
Book

Spectral Element Method in Structural Dynamics

TL;DR: In this paper, the authors present a theoretical analysis of the Spectral Element Method and Spectral Analysis of Signals (SAM) in terms of the following: 1.1 Fourier Series. 2.2 Discrete Fourier Transform and FFT. 3.3 Aliasing. 4.4 Reduction from the Finite Models.
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