Free vibration analysis of annular sector plates via conical shell equations

Author:

Demir Çiğdem1,Ersoy Hakan2,Mercan Kadir1,Civalek Ömer1

Affiliation:

1. 1Akdeniz University, Engineering Faculty, Civil Engineering Dep., Division of Mechanics 07058, Antalya, Turkey

2. 2Akdeniz University, Engineering Faculty, Mechanical Engineering Dep., Division of Mechanics 070058, Antalya, Turkey

Abstract

Abstract In this paper, free vibration analysis of annular sector plates has been presented via conical shell equations. By using the first-order shear deformation theory (FSDT) equation of motion of conical shell is obtained. The method of discrete singular convolution (DSC) and method differential quadrature (DQ) are used for solution of the vibration problem of annular plates for some special value of semi-vertex angle via conical shell equation. The obtained numerical results based on the two numerical approaches for annular sector plates compare well with the results available in the literature. The effects of some geometric parameters, grid numbers and types of the grid distribution have been discussed for curved plates.

Publisher

Walter de Gruyter GmbH

Subject

Mechanics of Materials,Safety, Risk, Reliability and Quality,Aerospace Engineering,Building and Construction,Civil and Structural Engineering,Architecture,Computational Mechanics

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