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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
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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.
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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.
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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Journal ArticleDOI

The vibrations of generally orthotropic beams, a finite element approach

TL;DR: In this article, the authors presented two finite element models for the prediction of free vibrational natural frequencies of fixed-free beams of general orthotropy, including the transverse shear deformation effect and the rotary inertia effect.
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An analytic means of determining the flexural and torsional resonant frequencies of generally orthotropic beams

TL;DR: In this article, an analytic method of determining the resonant frequencies of generally orthotropic beams, where flexural to torsional coupling is caused by the character of the elastic material constants, is presented.
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The effects of fibre orientation on free vibrations of composite beams

TL;DR: The torsion-flexure coupling effect of generally orthotropic beams is dependent on reinforcing fibre orientation and mode order as discussed by the authors, which is principally contributed by the twisting moment induced by bending.
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Generalized analysis of shear deformable rings and curved beams

TL;DR: In this article, an accurate shear deformable theory for the analysis of the complete dynamic response of curved beams of constant curvature is presented, and the equations presented here are very general in the sense that any problem of curved beam and circular rings can be addressed.
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