Journal ArticleDOI
Generalized Differential Quadrature Finite Element Method for vibration analysis of arbitrarily shaped membranes
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TLDR
In this paper, the authors proposed a new technique for solving free vibration problems of composite arbitrarily shaped membranes by using Generalized Differential Quadrature Finite Element Method (GDQFEM).About:
This article is published in International Journal of Mechanical Sciences.The article was published on 2014-02-01. It has received 89 citations till now. The article focuses on the topics: Gauss–Kronrod quadrature formula & Numerical integration.read more
Citations
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Strong Formulation Finite Element Method Based on Differential Quadrature: A Survey
Journal ArticleDOI
Effect of agglomeration on the natural frequencies of functionally graded carbon nanotube-reinforced laminated composite doubly-curved shells
TL;DR: In this paper, the effect of Carbon Nanotube (CNT) agglomeration on free vibrations of laminated composite doubly-curved shells and panels reinforced by CNTs is investigated.
Journal ArticleDOI
Stress and strain recovery for functionally graded free-form and doubly-curved sandwich shells using higher-order equivalent single layer theory
TL;DR: In this article, through-the-thickness transverse normal and shear strains and stresses in statically deformed functionally graded (FG) doubly-curved sandwich shell structures and shells of revolution using the generalized zigzag displacement field and the Carrera Unified Formulation (CUF).
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Free vibrations of free-form doubly-curved shells made of functionally graded materials using higher-order equivalent single layer theories
TL;DR: In this article, the authors used the generalized displacement field of the Carrera Unified Formulation (CUF), including the Zig-Zag (ZZ) effect given by the Murakami's function.
Journal ArticleDOI
Free vibration analysis of arbitrarily shaped Functionally Graded Carbon Nanotube-reinforced plates
TL;DR: In this paper, a micromechanical model based on the agglomeration of these nanoparticles is considered, where the strong form of the equations governing a plate is solved by means of the Generalized Differential Quadrature (GDQ) method.
References
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Book
Vibration of plates
TL;DR: The fundamental equation of classical plate theory can be found in this article, where anisotropic and variable-thickness versions of the classical plates are considered, as well as other considerations.
Book
Differential Quadrature and Its Application in Engineering
TL;DR: A Differential Quadrature Hierarchical Finite Element Method (DQEEM) based on Bernstein Polynomials is proposed in this paper for the analysis of doubly-curvel shell structures.
Journal ArticleDOI
Differential Quadrature Method in Computational Mechanics: A Review
Charles W. Bert,Moinuddin Malik +1 more
TL;DR: The differential quadrature method (DQM) as discussed by the authors is a numerical solution technique for initial and/or boundary problems, which was developed by the late Richard Bellman and his associates in the early 70s.
Journal ArticleDOI
The application of integral equation methods to the numerical solution of some exterior boundary-value problems
A J Burton,G. F. Miller +1 more
TL;DR: The application of integral equation methods to exterior boundary-value problems for Laplace's equation and for the Helmholtz (or reduced wave) equation is discussed in this article, where it is shown that uniqueness can be restored by deriving a second integral equation and suitably combining it with the first.
Journal ArticleDOI
Isogeometric Analysis of Structural Vibrations
TL;DR: In this paper, the concept of k-refinement is explored and shown to produce more accurate and robust results than corresponding finite elements, including rods, thin beams, membranes, and thin plates.
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Differential Quadrature Method in Computational Mechanics: A Review
Charles W. Bert,Moinuddin Malik +1 more