A spectrally formulated plate element for wave propagation analysis in anisotropic material

Chakraborty, A and Gopalakrishnan, S (2005) A spectrally formulated plate element for wave propagation analysis in anisotropic material. In: Computer Methods in Applied Mechanics and Engineering, 194 (42-44). pp. 4425-4446.

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Abstract

A new spectrally formulated plate element is developed to study wave propagation in composite structures. The element is based on the classical lamination plate theory. Recently developed method based on singular value decomposition (SVD) is used in the element formulation.Along with this, a new strategy based on the method of solving polynomial eigenvalue problem (PEP) is proposed in this paper, which significantly reduces human intervention (and thus human error), in the element formulation. The developed element has an exact dynamic stiffness matrix, as it uses the exact solution of the governing elastodynamic equation of plate in frequency-wave number domain as the interpolating functions. Due to this, the mass distribution is modeled exactly, and as a result, a single element captures the exact frequency response of a regular structure, and it suffices to model a plate of any dimension. Thus, the cost of computation is dramatically reduced compared to the cost of conventional finite element analysis. The fast Fourier transform (FFT) and Fourier series are used for inversion to time-space domain. This element is used to model plate with ply drops and to capture the propagation of Lamb waves.

Item Type:	Journal Article
Publication:	Computer Methods in Applied Mechanics and Engineering
Publisher:	Elsevier Science SA
Additional Information:	Copyright for this article belongs to Elsevier.
Keywords:	CLPT;SVD;PEP;High frequency;Ply-drop;Lamb wave
Department/Centre:	Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited:	19 Oct 2005
Last Modified:	19 Sep 2010 04:20
URI:	http://eprints.iisc.ac.in/id/eprint/3855

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