A C ELEMENT FOR THE FREE VIBRATION ANALYSIS OF LAMINATED COMPOSITE PLATES

Authors: Shankara C.A.; Iyengar N.G.R.

Source: Journal of Sound and Vibration, Volume 191, Number 5, April 1996 , pp. 721-738(18)

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Abstract:

A C continuous finite element model having five- and seven-degres-of-freedom (DOF) has been developed for the free vibration analysis of laminated coposite plates, together with a higher order shear deformation theory (HSDT) to account for the parabolic variation of transverse shear stresses through the thickness and linear variation of the normal stresses. The displacement field has been presented in such a way that a C continuous element would be sufficient to represent the plate behaviour. By choosing appropriate coefficients involved in the displacement field model, conformity with either the first order shear deformation theory (FSDT) or the HSDT can be achieved. Results are presented for rectangular, antisymmetric, angle-ply laminates, as obtained by using both FSDT and HSDT, highlighting the effect of material properties, fiber orientation, number of layers, aspect ratio and side to thickness ratio on the fundamental frequency. Computed results are compared with three-dimensional elasticity theory and closed form solution and are found to be in good agreement. A comparative study of both FSDT and HSDT results that FSDT is sufficient to represent the behavior of plates up to a side a thickness ratio of approximately 5?0.

Language: English

Document Type: Research article

Affiliations: Department of Aerospace Engineering, Indian Institute of Technology, Kanpur-208016, India

Publication date: 1996-04-01