# Free vibration analysis of annular sector plates via conical shell equations

• Volume: 4, Issue: 1, page 146-157
• ISSN: 2353-7396

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## Abstract

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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.

## How to cite

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Çiğdem Demir, et al. "Free vibration analysis of annular sector plates via conical shell equations." Curved and Layered Structures 4.1 (2017): 146-157. <http://eudml.org/doc/288564>.

@article{ÇiğdemDemir2017,
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.},
author = {Çiğdem Demir, Hakan Ersoy, Kadir Mercan, Ömer Civalek},
journal = {Curved and Layered Structures},
keywords = {Free vibration; annular plate; sector plates; discrete singular convolution; differential quadrature},
language = {eng},
number = {1},
pages = {146-157},
title = {Free vibration analysis of annular sector plates via conical shell equations},
url = {http://eudml.org/doc/288564},
volume = {4},
year = {2017},
}

TY - JOUR
AU - Çiğdem Demir
AU - Hakan Ersoy
AU - Kadir Mercan
AU - Ömer Civalek
TI - Free vibration analysis of annular sector plates via conical shell equations
JO - Curved and Layered Structures
PY - 2017
VL - 4
IS - 1
SP - 146
EP - 157
AB - 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.
LA - eng
KW - Free vibration; annular plate; sector plates; discrete singular convolution; differential quadrature
UR - http://eudml.org/doc/288564
ER -

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