Spectral element modeling and analysis of the transverse vibration of a laminated composite plate

Spectral element modeling and analysis of the transverse vibration of a laminated composite plate This paper presents a frequency-domain spectral element model for the symmetric laminated composite plates which have finite dimensions in two orthogonal directions, i.e., in the x- and y-directions. The spectral element model is developed by using two methods in combination: the splitting of original boundary conditions and the so-called super spectral element method in which both the Kantorovich method-based finite strip element method and the frequency-domain waveguide method are utilized. The present spectral element model has nodes (or degrees of freedom (DOFs)) only on four edges of a finite element, i.e., no nodes inside the finite element. Accordingly the total number of DOFs used in the dynamic analysis can be drastically decreased to lead to a significant decrease of the computation cost, when compared with the standard finite element method (FEM). The high accuracy of the present spectral element model is verified in due course by the comparison with the results by two solution methods: the exact theory available in the literature and the standard finite element model developed in this study. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Composite Structures Elsevier

Spectral element modeling and analysis of the transverse vibration of a laminated composite plate

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Publisher
Elsevier
Copyright
Copyright © 2015 Elsevier Ltd
ISSN
0263-8223
eISSN
1879-1085
D.O.I.
10.1016/j.compstruct.2015.08.111
Publisher site
See Article on Publisher Site

Abstract

This paper presents a frequency-domain spectral element model for the symmetric laminated composite plates which have finite dimensions in two orthogonal directions, i.e., in the x- and y-directions. The spectral element model is developed by using two methods in combination: the splitting of original boundary conditions and the so-called super spectral element method in which both the Kantorovich method-based finite strip element method and the frequency-domain waveguide method are utilized. The present spectral element model has nodes (or degrees of freedom (DOFs)) only on four edges of a finite element, i.e., no nodes inside the finite element. Accordingly the total number of DOFs used in the dynamic analysis can be drastically decreased to lead to a significant decrease of the computation cost, when compared with the standard finite element method (FEM). The high accuracy of the present spectral element model is verified in due course by the comparison with the results by two solution methods: the exact theory available in the literature and the standard finite element model developed in this study.

Journal

Composite StructuresElsevier

Published: Dec 15, 2015

References

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