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Paper 101

Free vibration Analysis of Laminated Plates using Wavelet Collocation and a Unified Formulation

A.J.M. Ferreira1, E. Carrera2 and L. Castro3
1Departamento de Engenharia Mecânica, Faculdade de Engenharia da Universidade do Porto, Portugal
2Department of Aeronautics and Aerospace Engineering, Politecnico di Torino, Italy
3Departamento de Engenharia Civil e Arquitectura, Instituto Superior Técnico, Lisboa, Portugal

Keywords: collocation, wavelets, vibrations, composites, plates.

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Composite laminated plates are widely used in various applications as a result of their high strength-to-weight ratio and flexibility in design. The analysis of laminated plates using finite element methods is now fully established. The use of alternative methods such as meshless methods based on wavelets is attractive as a result of the absence of a mesh and the ease of collocation techniques. The method employed here for the numerical solution is a collocation method based on the Deslaurier-Dubuc interpolating basis in hierarchical form.

In this paper, the static and free vibration analysis of laminated plates is performed using a wavelet collocation method, according to a sinusoidal shear deformation theory (SSDT). The SSDT accounts for through-the-thickness deformation, by considering a sinusoidal evolution of all displacements with the thickness coordinate. The equations of motion and the boundary conditions are obtained using the unified formulation by Carrera (CUF), and further interpolated by the wavelet method.