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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

doi:10.4203/ccp.99.101

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A.J.M. Ferreira, E. Carrera, L. Castro, "Free vibration Analysis of Laminated Plates using Wavelet Collocation and a Unified Formulation", in B.H.V. Topping, (Editor), "Proceedings of the Eleventh International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 101, 2012. doi:10.4203/ccp.99.101

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

Summary

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.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 99 PROCEEDINGS OF THE ELEVENTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: B.H.V. Topping 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 doi:10.4203/ccp.99.101 purchase the full-text of this paper Full Bibliographic Reference for this paper A.J.M. Ferreira, E. Carrera, L. Castro, "Free vibration Analysis of Laminated Plates using Wavelet Collocation and a Unified Formulation", in B.H.V. Topping, (Editor), "Proceedings of the Eleventh International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 101, 2012. doi:10.4203/ccp.99.101 Keywords: collocation, wavelets, vibrations, composites, plates. Summary 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. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £65 +P&P)
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