Forced Vibration Analysis of Cross-Ply Laminated Plates Using a Layerwise Theory

Forced Vibration Analysis of Cross-Ply Laminated Plates Using a Layerwise Theory

… Download …


Part of #Forced Vibration Analysis of Cross-Ply Laminated Plates Using a Layerwise Theory# :

Publishing year : 2010

Conference : 2nd International Composite Conference

Number of pages : 6

Abstract: An analytical solution of the dynamic response of thick cross-ply laminated plates, based on the full layer theory theory, is presented in this paper. Analytical solutions are determined by a simple but effective method which involves a transformation into the generalized coordinates and applying the orthogonality conditions of the principal modes to uncouple the equations. Since this generalized coordinates can be interpreted as an input of any principal mode in the overall response, this approach also allows immediate deduction of how these laminated plates react to external loads. The simple supported rectangular plates are subjected to constant and time-varying transverse loads as case studies. The analytical solution presented here is validated by comparing the results obtained from the layerwise theory with those obtained from the classical, first-order, and third-order laminated plate theories. The response of the laminated plates to the external load is represented by terms of deflection as well as distributions of in-plane and interlaminar stresses. The forced vibration analysis using a layerwise theory is reported for the first time in this paper. Results of the exact layerwise theory represent significant oversimplifications inherent in the application of equivalent single-layer theories to forced vibration analysis of orthotropic laminates