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Journal ArticleDOI

A generalized element for the free vibration analysis of composite beams

S.Mohamed Nabi, +1 more
- 03 Jun 1994 - 
- Vol. 51, Iss: 5, pp 607-610
TLDR
In this article, a general finite element based on a first-order deformation theory is developed to study the free vibration characteristics of laminated composite beams, which accounts for bi-axial bending as well as torsion.
About
This article is published in Computers & Structures.The article was published on 1994-06-03. It has received 49 citations till now. The article focuses on the topics: Finite element method & Vibration.

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Citations
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Journal ArticleDOI

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

Vibrations of straight and curved composite beams: A review

TL;DR: In this paper, the authors review most of the research done in recent years (1989-2012) on the vibration analysis of composite beams, with emphasis given to the theory being applied (thin, thick, layerwise), methods for solving equations (finite element analysis, differential transform and others) experimental methods, smart beams (piezoelectric or shape memory), complicating effects in both material and structure, and other areas that have been considered in research.
Journal ArticleDOI

Dynamic finite element method for generally laminated composite beams

TL;DR: In this paper, a dynamic finite element method for free vibration analysis of generally laminated composite beams is introduced on the basis of first-order shear deformation theory, where the influences of Poisson effect, couplings among extensional, bending and torsional deformations, shear deformations and rotary inertia are incorporated in the formulation.
Journal ArticleDOI

Dynamic stiffness analysis of laminated composite beams using trigonometric shear deformation theory

TL;DR: In this paper, the exact dynamic stiffness matrix of a uniform laminated composite beam based on trigonometric shear deformation theory is derived, and a refined laminated beam constitutive equation is derived that takes into account the breadth direction strains.
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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

Recent Advances in Analysis of Laminated Beams and Plates, Part II: Vibrations and Wave Propagation

TL;DR: A review of the recent developments in the analysis of laminated beams and plates with an emphasis on vibrations and wave propagations is presented in this paper, where a significant effort has been spent on developing appropriate continuum theories for modeling the composite materials.
Journal ArticleDOI

Free vibration of composite beams including rotary inertia and shear deformation

TL;DR: In this paper, exact solutions for the free vibration of symmetrically laminated composite beams are presented for the first-order shear deformation and rotary inertia have been included in the analysis.
Journal ArticleDOI

Free vibration of composite beams using a refined shear flexible beam element

TL;DR: In this article, a finite element model based on a higher-order shear deformation theory is developed to study the free vibration characteristics of laminated composite beams and the effects of in-plane inertia and rotary inertia are considered in the formulation of the mass matrix.
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