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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

Dynamic stiffness matrix of thin-walled composite I-beam with symmetric and arbitrary laminations

TL;DR: In this article, a general theory for the vibration analysis of composite I-beam with arbitrary laminations including the restrained warping torsion is developed by introducing Vlasov's assumption.
Journal ArticleDOI

Finite Element Vibration Analysis of Beams, Plates and Shells

TL;DR: In this paper, a bibliography lists references to papers, conference proceedings and theses/dissertations dealing with finite element vibration analysis of beams, plates and shells that were published in 1994-1994.
Journal ArticleDOI

Comparison of the In-Plane Natural Frequencies of Symmetric Cross-Ply Laminated Beams Based on the Bernoulli-Euler and Timoshenko Beam Theories

TL;DR: In this article, the in-plane free vibration problem of symmetric cross-ply laminated beams is studied based on the transfer matrix method, and the exact overall dynamic transfer matrix of the beam is obtained by making use of the numerical algorithm available in the literature.
Journal ArticleDOI

Vibration analysis of rotating composite cantilever plates

TL;DR: In this article, a modeling method for the vibration analysis of rotating composite cantilever plates is presented, where coupling effects between inplane motions and bending motion are considered and explicit mass and stiffness matrices are derived for the modal analysis.
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.
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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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