A high order collocation method for the static and vibration analysis of composite plates using a first-order theory

AbstractIn this paper, we combine a new higher-order layerwise formulation and collocation with radial basis functions for predicting the static deformations and free vibration behavior of three-layer composite plates. The skins are modeled via a first-order theory, while the core is modeled by a cubic expansion with the thickness coordinate. Through numerical experiments, the numerical accuracy of this strong-form technique for static and vibration problems is discussed.

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A Simple Higher-Order Theory for Laminated Composite Plates

Journal of Applied Mechanics ◽

10.1115/1.3167719 ◽

1984 ◽

Vol 51 (4) ◽

pp. 745-752 ◽

Cited By ~ 2629

Author(s):

J. N. Reddy

Keyword(s):

Shear Deformation ◽

Deformation Theory ◽

Shear Deformation Theory ◽

Laminated Composite ◽

Composite Plates ◽

Order Theory ◽

Higher Order ◽

Laminated Composite Plates ◽

First Order ◽

First Order Theory

A higher-order shear deformation theory of laminated composite plates is developed. The theory contains the same dependent unknowns as in the first-order shear deformation theory of Whitney and Pagano [6], but accounts for parabolic distribution of the transverse shear strains through the thickness of the plate. Exact closed-form solutions of symmetric cross-ply laminates are obtained and the results are compared with three-dimensional elasticity solutions and first-order shear deformation theory solutions. The present theory predicts the deflections and stresses more accurately when compared to the first-order theory.

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Dynamic analysis of laminated composite plates traversed by a moving mass based on a first-order theory

Composite Structures ◽

10.1016/j.compstruct.2010.01.011 ◽

2010 ◽

Vol 92 (8) ◽

pp. 1865-1876 ◽

Cited By ~ 39

Author(s):

E. Ghafoori ◽

M. Asghari

Keyword(s):

Dynamic Analysis ◽

Laminated Composite ◽

Composite Plates ◽

Order Theory ◽

Moving Mass ◽

Laminated Composite Plates ◽

First Order ◽

First Order Theory

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Free Vibration Analysis of Cracked Composite Beams Subjected to Coupled Bending-Torsion Loads Based on a First Order Beam Theory

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.325-326.1318 ◽

2013 ◽

Vol 325-326 ◽

pp. 1318-1323 ◽

Cited By ~ 3

Author(s):

A.R. Daneshmehr ◽

D.J. Inman ◽

A.R. Nateghi

Keyword(s):

Free Vibration ◽

Boundary Conditions ◽

Vibration Analysis ◽

Natural Frequencies ◽

Free Vibration Analysis ◽

Beam Theory ◽

Order Theory ◽

Composite Beams ◽

First Order ◽

First Order Theory

In this paper free vibration analysis of cracked composite beams subjected to coupled bending-torsion loads are presented. The composite beam is assumed to have an open edge crack. A first order theory is applied to count for the effect of the shear deformations on natural frequencies as well as the effect of coupling in torsion and bending modes of vibration. Local flexibility matrix is used to obtain the additional boundary conditions of the beam in the crack area. After obtaining the governing equations and boundary conditions, GDQ method is applied to solve the obtained eigenvalue problem. Finally, some numerical results are given to show the efficacy of the method. In addition, to count for the effect of coupling on natural frequencies of the cracked beams, different fiber orientations are assumed and studied.

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