Natural Frequencies of Equilateral Triangular Plates under Classical Edge Supports

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Date

2016

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Department of Statistics & Computer Science, University of Kelaniya, Sri Lanka

Abstract

In this paper, free vibration of thick equilateral triangular plates subject to classical boundary conditions has been investigated based on a new shear deformation theory, which needs no shear correction factor for stress distributions. The numerical modeling is performed by means of Rayleigh-Ritz method to obtain the concerned eigenvalue problem. The objective is to find the effect of different physical and geometric parameters on natural frequencies of the plate. New results for natural frequencies along with 3D mode shapes have been evaluated after the test of convergence and validation with the available results.

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Keywords

Vibration, Equilateral plate, Rayleigh-Ritz method, 3D mode shapes

Citation

Pradhan, K.K. and Chakraverty, S. 2016. Natural Frequencies of Equilateral Triangular Plates under Classical Edge Supports. Symposium on Statistical & Computational Modelling with Applications (SymSCMA – 2016), Department of Statistics & Computer Science, University of Kelaniya, Sri Lanka. p 30-34.

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