Wave Dispersion Modelling in Anisotropic Shells and Rods by the Finite Element Method

Author: Mazuch T.  

Publisher: Academic Press

ISSN: 0022-460X

Source: Journal of Sound and Vibration, Vol.198, Iss.4, 1996-12, pp. : 429-438

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Abstract

Harmonic wave propagation in shells and rods of infinite length is studied. Relations for a finite element model are derived in both Cartesian and cylindrical co-ordinates for the general anisotropy of a linearly elastic material. It is shown that the strain energy of a harmonic wave is not dependent on all elements of the elasticity matrix. Comparison of the proposed FEM solutions with analytical solutions, for both longitudinal and torsional waves in an isotropic cylindrical rod, shows excellent agreement. Some results for a thick cylindrical isotropic shell and an orthotropic square rod are also presented.