Free vibration and buckling analyses of CNT reinforced laminated non-rectangular plates by discrete singular convolution method

2020 ◽  
Author(s):  
Ömer Civalek ◽  
Mehmet Avcar
Keyword(s):  
Free Vibration ◽  
Rectangular Plates ◽  
Discrete Singular Convolution ◽  
Convolution Method

NUMERICAL SOLUTIONS TO THE FREE VIBRATION PROBLEM OF MINDLIN SECTOR PLATES USING THE DISCRETE SINGULAR CONVOLUTION METHOD

2009 ◽  
Vol 09 (02) ◽  
pp. 267-284 ◽  
Author(s):  
ÖMER CIVALEK
Keyword(s):  
Free Vibration ◽  
Numerical Solutions ◽  
Solution Process ◽  
Shear Deformation Theory ◽  
Free Vibration Analysis ◽  
Governing Equations ◽  
Annular Sector ◽  
Discrete Singular Convolution ◽  
Dsc Method ◽  
Convolution Method

This paper presents the free vibration analysis of annular sector plates based on Mindlin's first-order shear deformation theory using the discrete singular convolution (DSC) method. In the solution process, the governing equations of the motions and boundary conditions of the plate are discretized by the method. The effect of some geometric parameters on frequencies is investigated. Comparisons are made with existing numerical and analytical solutions in the literature. It is found that the DSC method yields accurate results for the plate problems under investigation.

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