Journal ArticleDOI
The free flexural vibration of isotropic and orthotropic general triangular shaped plates
C.S. Kim,S.M. Dickinson +1 more
TLDR
In this paper, the Rayleigh-Ritz method is used to obtain an eigenvalue equation for the free flexural vibration of thin, isotropic and specially orthotropic, general triangular plates.About:
This article is published in Journal of Sound and Vibration.The article was published on 1992-02-08. It has received 22 citations till now. The article focuses on the topics: Vibration of plates & Orthotropic material.read more
Citations
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Journal ArticleDOI
High‐accuracy differential quadrature finite element method and its application to free vibrations of thin plate with curvilinear domain
Yufeng Xing,Bo Liu +1 more
TL;DR: In this paper, a DQ finite element method (DQFEM) is proposed for the free vibration analysis of thin plates, which combines the high accuracy of the differential quadrature method with the generality of the standard finite element formulation, and has superior accuracy to the standard FEM and FDM.
Journal ArticleDOI
The Rayleigh–Ritz method for linear dynamic, static and buckling behavior of beams, shells and plates: A literature review:
TL;DR: In this article, a comprehensive literature review on the application of the Rayleigh-Ritz method to analyze vibration, static and buckling characteristics of beams, shells and plates using different theories is presented.
Journal ArticleDOI
Free vibration of cantilevered arbitrary triangular Mindlin plates
TL;DR: In this paper, a free vibration analysis of cantilevered arbitrary triangular plates based on the Mindlin shear deformation theory is presented, and the results are valuable to design engineers for checking their natural frequency calculations and may also serve as benchmark values for future numerical techniques and software packages for thick plate analysis.
Journal ArticleDOI
Multi-frequency excitation of stiffened triangular plates for large amplitude oscillations
TL;DR: In this article, the free and forced vibrations of an orthotropic triangular elastic plate are investigated using the two well-known analytical methods, namely, the energy balance method and the variational approach.
Journal ArticleDOI
Natural frequencies for cantilevered laminated composite right triangular and trapezoidal plates
TL;DR: The first known natural frequencies for cantilevered laminated composite angle-ply triangular and trapezoidal plates are presented in this paper, where the Ritz method with non-orthogonal algebraic polynomials has been used to obtain them.
References
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Journal ArticleDOI
The free vibration of rectangular plates
TL;DR: In this article, the free vibration of rectangular plates is analyzed using the Ritz method with 36 terms containing the products of beam functions, including clamped, simply-supported, and free edge conditions.
Journal ArticleDOI
On the use of orthogonal polynomials in the Rayleigh-Ritz method for the study of the flexural vibration and buckling of isotropic and orthotropic rectangular plates
S.M. Dickinson,A. Di Blasio +1 more
TL;DR: In this article, orthogonal polynomial functions are used in the Rayleigh-Ritz method to generate results for a number of flexural vibration and buckling problems for rectangular isotropic and orthotropic plates.
Journal ArticleDOI
LITERATURE REVIEW: survey and analysis of the Shock and Vibration literature: Recent Studies in Plate Vibrations: 1981-85 Part I. Classical Theory
Journal ArticleDOI
Static and dynamic applications of a high- precision triangular plate bending element
TL;DR: In this article, a fully conforming plate bending element of arbitrary triangular shape is developed and applied to the solution of several static and dynamic plate problems, including analysis of a square plate, statics of an equilateral triangular simply supported plate, and vibrations of cantilevered triangular plates.
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The free flexural vibration of right triangular isotropic and orthotropic plates
C.S. Kim,S.M. Dickinson +1 more