Free vibration analysis of symmetrically laminated thin composite plates by using discrete singular convolution (DSC) approach: Algorithm and verification

2008 ◽  
Vol 315 (1-2) ◽  
pp. 197-211 ◽  
Author(s):  
Abdullah Seçgin ◽  
A. Saide Sarıgül
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Free Vibration Analysis ◽  
Composite Plates ◽  
Discrete Singular Convolution

Free Vibration Analysis of Symmetrically Laminated Fully Clamped Skew Plates Using Extended Kantorovich Method

2011 ◽  
Vol 471-472 ◽  
pp. 739-744 ◽  
Author(s):  
Ali Fallah ◽  
Mohammad Hossein Kargarnovin ◽  
Mohammad Mohammadi Aghdam
Keyword(s):  
Differential Equation ◽  
Free Vibration ◽  
Vibration Analysis ◽  
Closed Form Solution ◽  
Free Vibration Analysis ◽  
Composite Plates ◽  
Power Series Solution ◽  
Order Partial Differential Equation ◽  
Kantorovich Method ◽  
Extended Kantorovich Method

In this paper, free vibration analysis of thin symmetrically laminated skew plates with fully clamped edges is investigated. The governing differential equation for skew plate which is a fourth order partial differential equation (PDE) is obtained by transforming the differential equation in Cartesian coordinates into skew coordinates. Based on the multi-term extended Kantorovich method (MTEKM) an efficient and accurate approximate closed-form solution is presented for the governing PDE. Application of the MTEKM reduces the governing PDE to a dual set of ordinary differential equations. These sets of equations are then solved with infinite power series solution, in an iterative manner until convergence was achieved. Results of this study show the fast rate of convergence of the MTEKM. Usually two or three iterations are enough to obtain reasonably accurate results. The frequency parameters of laminated composite plates are obtained for different skew angles and lay-up configuration for different composites laminates skew plates. Comparisons have been made with the available results in the literature which show the accuracy and efficiency of the method.

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