Journal ArticleDOI
Free vibration of composite beams using a refined shear flexible beam element
TLDR
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.About:
This article is published in Computers & Structures.The article was published on 1992-05-17. It has received 130 citations till now. The article focuses on the topics: Timoshenko beam theory & Rotary inertia.read more
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
Elasticity solution for free vibration of laminated beams
Weiqiu Chen,C.F. Lv,Z.G. Bian +2 more
TL;DR: In this paper, a new approach combining the state space method and the differential quadrature method is presented for freely vibrating laminated beams, which can cope with arbitrary boundary conditions without applying Saint-Venant's principle.
Journal ArticleDOI
Vibration analysis of cross-ply laminated beams with general boundary conditions by Ritz method
TL;DR: In this article, the vibration analysis of cross-ply laminated beams subjected to different sets of boundary conditions is studied, and the analysis is based on a three-degree-of-freedom shear deformable beam theory.
Journal ArticleDOI
Free vibration analysis of generally laminated beams via state-space-based differential quadrature
Weiqiu Chen,C.F. Lv,Z.G. Bian +2 more
TL;DR: In this paper, a new method of state-space-based differential quadrature is presented for free vibration of generally laminated beams, which is validated by comparing numerical results with that available in the literature.
References
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Journal ArticleDOI
A Simple Higher-Order Theory for Laminated Composite Plates
TL;DR: In this paper, a higher-order shear deformation theory of laminated composite plates is developed, which accounts for parabolic distribution of the transverse shear strains through the thickness of the plate.
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
A new rectangular beam theory
TL;DR: In this paper, a new theory for beams of rectangular cross-section which includes warping of the cross-sections is presented, and results for two typical static examples are given for both the new theory and Timoshenko beam theory.
Journal ArticleDOI
A higher order beam finite element for bending and vibration problems
Paul R. Heyliger,J. N. Reddy +1 more
TL;DR: In this paper, the finite element equations for a variationally consistent higher-order beam theory are presented for the static and dynamic behavior of rectangular beams, which correctly accounts for the stress-free conditions on the upper and lower surfaces of the beam while retaining the parabolic shear strain distribution.
Related Papers (5)
Free vibration of composite beams including rotary inertia and shear deformation
Free vibration of cross-ply laminated beams with arbitrary boundary conditions
Ahmed A. Khdeir,J. N. Reddy +1 more