# Numerical approaches for vibration response of annular and circular composite plates

• Baltacı (Akdeniz University, Engineering Faculty, Civil Engineering Department, Division of Mechanics) ;
• oglu, Ali Kemal (Akdeniz University, Engineering Faculty, Civil Engineering Department, Division of Mechanics)
• Accepted : 2018.12.11
• Published : 2018.12.25
• 1,236 57

#### Abstract

In the present investigation, by using the two numerical methods, free vibration analysis of laminated annular and annular sector plates have been studied. In order to obtain the main equations two different shell theories such as Love's shell theory and first-order shear deformation theory (FSDT) have been used for modeling. After obtaining the fundamental equations in briefly, the methods of harmonic differential quadrature (HDQ) and discrete singular convolution (DSC) are used to solve the equation of motion. Accuracy, convergence and reliability of the present HDQ and DSC methods were tested by comparing the existing results obtained by different methods in the literature. The effects of some geometric and material properties of the plates are investigated via these two methods. The advantages and accuracy of the HDQ and DSC methods have also been examined with different grid numbers and shell theory. Some results for laminated annular plates and laminated circular plates were also been supplied.

#### Keywords

laminated composites;annular plate;circular plate;differential quadrature;discrete singular convolution

#### Acknowledgement

Supported by : Unit of Akdeniz University

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