Spectral finite element for wave propagation analysis of laminated composite curved beams using classical and first order shear deformation theories

Nanda, Namita ; Kapuria, Santosh (2015) Spectral finite element for wave propagation analysis of laminated composite curved beams using classical and first order shear deformation theories Composite Structures, 132 . pp. 310-320. ISSN 0263-8223

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Official URL: http://www.sciencedirect.com/science/article/pii/S...

Related URL: http://dx.doi.org/10.1016/j.compstruct.2015.04.061

Abstract

A frequency domain spectral finite element formulation is presented for the wave propagation analysis of laminated composite curved beams using the first order shear deformation theory (FSDT) and the classical laminate theory (CLT). The elements are derived from the exact solution of the governing equation of motion in frequency domain, obtained through Fourier transformation of the time domain equation. The formulation is validated by comparing the results for natural frequencies with the published results. The new elements are then employed to perform dispersion and wave propagation analyses of curved composite beams. The numerical results reveal that the wavenumbers predicted by the CLT show large deviation from those of the FSDT even for thin beams, and the deviation increases and occurs at lower frequencies with the increase in the thickness to radius ratio. The orthotropy ratio of the composite has a significant effect on the wavenumbers for tangential and mid-surface rotation modes. The wave propagation response predicted by the CLT differs widely from the FSDT prediction, for thin and thick, and shallow and deeply curved beams at both low and high frequencies. Thus, the CLT should not be used for wave propagation analysis of even thin curved laminated beams.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Spectral Element; Laminated Composite; Curved Beam; Dispersion; Wave Propagation
ID Code:108893
Deposited On:31 Jan 2018 10:45
Last Modified:31 Jan 2018 10:45

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