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Journal ArticleDOI

An efficient approach for free vibration analysis of conical shells

TLDR
In this paper, the authors applied the global method of generalized differential quadrature (GDQ) for the first time to study the free vibration of isotropic conical shells.
About
This article is published in International Journal of Mechanical Sciences.The article was published on 1996-08-01. It has received 93 citations till now. The article focuses on the topics: Boundary value problem & Quadrature (mathematics).

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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.
Journal ArticleDOI

2-D differential quadrature solution for vibration analysis of functionally graded conical, cylindrical shell and annular plate structures

TL;DR: In this paper, the dynamics of conical, cylindrical shells and annular plates were analyzed using the first-order shear deformation theory (FSDT) and the generalized differential quadrature (GDQ) method.
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).
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

Application of generalized differential quadrature to solve two-dimensional incompressible navier-stokes equations

TL;DR: In this paper, a global method of generalised differential quadrature is applied to solve the two-dimensional incompressible Navier-Stokes equations in the vorticity-stream-function formulation.
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Differential quadrature for static and free vibration analyses of anisotropic plates

TL;DR: In this article, the differential quadrature method is used to analyse the deflection, buckling and free vibration behavior of anisotropic rectangular plates under various boundary conditions, and the roots of Chebyshev polynomials are used to obtain grid-point locations.
Journal ArticleDOI

Application of generalized differential quadrature method to structural problems

TL;DR: This paper presents the first endeavour to exploit a generalized differential quadrature method as an accurate, efficient and simple numerical technique for structural analysis as well as seeking an alternate numerical method using fewer grid points to find results with acceptable accuracy.
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