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Journal ArticleDOI

On the vibration of skew plates of variable thickness

M.M. Banerjee
- 08 Apr 1979 - 
- Vol. 63, Iss: 3, pp 377-383
TLDR
In this article, the determination of the natural frequencies of a vibrating skew plate with variable thickness was studied, where free and forced vibrations were treated for different ratios of the sides, skew angle and taper constant.
About
This article is published in Journal of Sound and Vibration.The article was published on 1979-04-08. It has received 13 citations till now. The article focuses on the topics: Skew & Deflection (engineering).

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Citations
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Journal ArticleDOI

Polynomial and harmonic differential quadrature methods for free vibration of variable thickness thick skew plates

TL;DR: In this article, the authors examined the accuracy and convergence behaviors of polynomial basis function differential quadrature (PDQ) and harmonic basis function DQ for free vibration analysis of variable thickness skew plates.
Journal ArticleDOI

Vibration analysis of skew fibre-reinforced composite laminated plates

TL;DR: In this article, the effects of skew angle and lamination scheme on natural frequencies were studied for skew laminated composite plates with simply supported and clamped edges, and results were tabulated for different lamination schemes and compared to available studies in the literature.
Journal ArticleDOI

A BEM solution to dynamic analysis of plates with variable thickness

TL;DR: In this article, a boundary element method is developed for the dynamic analysis of plates with variable thickness, where the plate may have arbitrary shape and its boundary may be subjected to any type of boundary conditions.
Journal ArticleDOI

An analog equation solution to dynamic analysis of plates with variable thickness

TL;DR: In this article, the analog equation method (AEM) is applied to dynamic analysis of plates with variable thickness, both free and forced vibrations are considered, and the fourth order partial differential equation with variable coefficients governing the dynamic response of the plate is converted to a quasi-static plate bending problem under a fictitious time dependent load.
Journal ArticleDOI

Application of the Spline Element Method to Analyze Vibration of Skew Mindlin Plates with Varying Thickness in One Direction

TL;DR: In this article, the spline element method based on the Mindlin plate theory was applied to analyze the vibration of skew Mindlin plates with varying thickness in the longitudinal direction, and several examples were solved, and results were compared with those obtained by other numerical methods.
References
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Journal ArticleDOI

A note on forced vibrations of a clamped rectangular plate

TL;DR: In this article, simple polynomial approximations and Galerkin's method are used to determine the response of a thin, elastic, rectangular plate clamped along the boundary and subjected to sinusoidal excitation.
Journal ArticleDOI

Study of Small‐Amplitude Vibrations of Clamped Rectangular Plates Using Polynomial Approximations

TL;DR: In this article, the Galerkin method is used to make an analysis of the vibration of a rectangular plate whose edges are clamped, represented by a simple polynomial expression.
Journal ArticleDOI

Linear and Nonlinear Analyses of Skewed Plates

TL;DR: In this paper, the perturbation method is used to analyze the problem of small and large deflections of clamped skewed plates under uniform pressure, and the results are improved by successive approximations to the three displacement components in the middle plane of the plate.
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