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Journal ArticleDOI

Vibration and stability of cross-ply laminated composite plates according to a global higher-order plate theory

Hiroyuki Matsunaga
- 01 Apr 2000 - 
- Vol. 48, Iss: 4, pp 231-244
TLDR
In this article, a set of fundamental dynamic equations of a two-dimensional higher-order theory for thick rectangular laminates subjected to in-plane stresses is derived through Hamilton's principle.
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This article is published in Composite Structures.The article was published on 2000-04-01. It has received 181 citations till now. The article focuses on the topics: Plate theory & Composite plate.

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Citations
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Journal ArticleDOI

Free vibration and stability of functionally graded plates according to a 2-D higher-order deformation theory

TL;DR: In this paper, a set of fundamental dynamic equations of a two-dimensional (2D) higher-order theory for rectangular functionally graded (FG) shallow shells is derived by using the method of power series expansion of displacement components, by taking into account the effects of transverse shear and normal deformations, and rotatory inertia.
Journal ArticleDOI

Recent developments in finite element analysis for laminated composite plates

TL;DR: A review of the recent development of the finite element analysis for laminated composite plates from 1990 is presented in this paper, where a literature review is devoted to the recently developed finite elements based on the various laminated plate theories for the free vibration and dynamics, buckling and postbuckling analysis, geometric nonlinearity and large deformation analysis, and failure and damage analysis of composite laminated plates.
Journal ArticleDOI

On the free vibration analysis of laminated composite and sandwich plates: A review of recent literature with some numerical results

TL;DR: In this paper, the free vibration analysis of multilayered laminated composite and sandwich plates using various methods available for the analysis of plates is presented and compared with other higher order shear deformation theories.
Journal ArticleDOI

A new higher order shear deformation theory for sandwich and composite laminated plates

TL;DR: In this article, a new shear deformation theory for sandwich and composite plates is developed, which accounts for adequate distribution of the transverse shear strains through the plate thickness and tangential stress-free boundary conditions on the plate boundary surface, thus a shear correction factor is not required.
Journal ArticleDOI

Isogeometric analysis of laminated composite and sandwich plates using a new inverse trigonometric shear deformation theory

TL;DR: In this paper, a new inverse tangent shear deformation theory (ITSDT) was presented for the static, free vibration and buckling analysis of laminated composite and sandwich plates.
References
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Journal ArticleDOI

Exact solutions for rectangular bidirectional composites and sandwich plates

TL;DR: In this article, three-dimensional elasticity solutions for rectangular laminates with pinned edges are constructed for three dimensional elasticity problems, including a sandwich plate, and compared to the analogous results in classical laminated plate theory.
Book

Elements of vibration analysis

TL;DR: In this article, the authors provide contemporary coverage of the primary concepts and techniques in vibration analysis, and more elementary material has been added to the first four chapters of this second edition for an updated and expanded introduction to vibration analysis.
Journal ArticleDOI

Exact solutions for composite laminates in cylindrical bending

TL;DR: In this article, the limitations of classical laminated plate theory are investigated by comparing solutions of several specific boundary value problems in this theory to the corresponding theory of elasticity solutions, and it is shown that conventional plate theory leads to a very poor description of laminate response at low span-to-depth ratios.
Journal ArticleDOI

Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates

TL;DR: In this article, a unified exact analysis for the statics and dynamics of a class of thick laminates is presented, which leads to simple infinite series for stresses and displacements in flexure, forced vibration and "beam-column" type problems and to closed form characteristic equations for free vibration and buckling problems.
Journal ArticleDOI

Assessment of Shear Deformation Theories for Multilayered Composite Plates

TL;DR: A review of the different approaches used for modeling multilayered composite plates is given in this paper, where the effects of variation in the lamination and geometric parameters of simply supported composite plates on the accuracy of the static and vibrational responses predicted by six different modeling approaches (based on 2D shear deformation theories).
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