Transverse Vibration of Thick Triangular Plates Based on a Proposed Shear Deformation Theory

  • K. K. PradhanEmail author
  • S. Chakraverty
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)


Natural frequencies of different thick triangular plates subject to classical boundary conditions are found based on a proposed shear deformation plate theory in this chapter. The stress distribution needs no shear correction factor in this proposed plate theory. The numerical formulation is performed by means of Rayleigh–Ritz method to obtain the generalized eigenvalue problem. The aim of this study is to find the effect of different physical and geometric parameters on natural frequencies. New results along with 3D mode shapes have been evaluated after the test of convergence and validation with the available results.


Vibration Triangular plate Shear deformation theory Rayleigh–ritz method 3D mode shapes 



The first author is thankful for the funding provided by NPIU (TEQIP-III) against TEQIP-009582 and also Parala Maharaja Engineering College, Berhampur for permitting smooth progress in terms of official provisions.


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© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.Department of Basic SciencePMEC BerhampurSitalapalliIndia
  2. 2.Department of MathematicsNIT RourkelaRourkelaIndia

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