Vibrational formulation and analysis of Levy cross-ply laminar plates applying spectral finite element method

Authors

Abstract

In this research, spectral element method has been presented for vibration analysis of a symmetric cross-ply laminated rectangular Levy-type plate based on classical plate lamination theory (CLPT). Formulation of spectral finite element method (SFEM) includes partial differential equations of motion, spectral displacement field, dynamic shape functions, and spectral element matrix. Both free vibration and harmonic response are performed using the formulated elements for the composite plate. The accuracy of spectral element model is validated by corresponding results from time-domain finite element solutions and exact solutions.The results indicate the reduced computations and higher accuracy of spectral finite element method in comparison with those of time-domain finite element method, particularly for problems of higher frequency content.

Keywords


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