Journal ArticleDOI
A new differential quadrature methodology for beam analysis and the associated differential quadrature element method
Ghodrat Karami,Parviz Malekzadeh +1 more
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TLDR
In this article, the authors presented a computationally efficient and an accurate new methodology in differential quadrature analysis of beam elements, which would overcome the difficulties in boundary conditions implementations of fourth-order differential equations encountered in such problems.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2002-06-07. It has received 129 citations till now. The article focuses on the topics: Gauss–Kronrod quadrature formula & Gauss–Jacobi quadrature.read more
Citations
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Free vibration analysis of functionally graded conical, cylindrical shell and annular plate structures with a four-parameter power-law distribution
TL;DR: In this article, a generalization of the power-law distribution presented in literature is proposed for the volume fraction of conical shells, where materials are assumed to be isotropic and inhomogeneous through the thickness direction.
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Strong Formulation Finite Element Method Based on Differential Quadrature: A Survey
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Winkler–Pasternak foundation effect on the static and dynamic analyses of laminated doubly-curved and degenerate shells and panels
TL;DR: In this article, the static and dynamic analyses of doubly-curved shells and panels of revolution resting on the Winkler-Pasternak elastic foundation using the generalized differential quadrature (GDQ) method are presented.
Journal ArticleDOI
2-D GDQ solution for free vibrations of anisotropic doubly-curved shells and panels of revolution
TL;DR: In this article, the generalized differential quadrature (GDQ) method is applied to study the dynamic behavior of laminated composite doubly-curved shells of revolution, and the results are compared with those obtained by using commercial programs such as Abaqus, Ansys, Nastran, Straus and Pro/Mechanica.
Journal ArticleDOI
Semi-analytical solution for three-dimensional vibration of functionally graded circular plates
TL;DR: In this article, a semi-analytical method using the state space method and the one-dimensional differential quadrature method is used to obtain the vibration frequencies and dynamic responses of circular plates.
References
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Journal ArticleDOI
Differential quadrature: a technique for the rapid solution of nonlinear partial differential equations
TL;DR: In this article, the authors present a direct technique which can be applied in a large number of cases to circumvent the difficulties of programming complex algorithms for the computer, as well as excessive use of storage and computer time.
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.
Book
Advanced strength and applied elasticity
Ansel C. Ugural,Saul K. Fenster +1 more
TL;DR: In this article, the authors provide a broad range of fully worked-out examples for stress analysis in realistic settings, including physics of materials, theory of elasticity methods, and computer-oriented numerical methods.
Journal ArticleDOI
Two new approximate methods for analyzing free vibration of structural components
TL;DR: In this paper, the complementary energy method is applied to the free vibration analysis of various structural components, including prismatic and tapered bars, prismatic beams, and axisymmetric motion of circular membranes.
Journal ArticleDOI
Application of differential quadrature to static analysis of structural components
TL;DR: In this article, the numerical technique of differential quadrature for the solution of linear and non-linear partial differential equations, first introduced by Bellman and his associates, is applied to the equations governing the deflection and buckling behaviour of one-and two-dimensional structural components.
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Differential Quadrature Method in Computational Mechanics: A Review
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