Modelling wave propagation in cylinders using a wave/finite element technique

Abstract

The propagation of waves in axisymmetric structures can be modelled using a wave/finite element (WFE) approach. A small, rectangular segment of the structure is modelled using conventional finite element methods, typically using a commercial package. Periodicity conditions are then applied. An eigenvalue problem results, the solutions of which yield the dispersion relations. In this paper the WFE method is applied to cylindrical shells modelled using ANSYS. The circumferential order of the wave can be specified in order to define the phase change a wave experiences as it propagates across the element in the circumferential direction. The resulting eigenproblem then relates the axial wavenumber and frequency. The method is described and illustrated by application to cylinders of different constructions. First a thin, isotropic shell is considered - for this case analytical solutions are available from which the accuracy and efficiency of the method can be demonstrated. A steel cylinder filled with water comprises the second example. The third example concerns a sandwich cylinder with a foam core and orthotropic, laminated skins, for which analytical solutions are not available. The method is seen to be simple in application and provide accurate results with very little computational cost.

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Identifiers

ORCID for Brian R. Mace: orcid.org/0000-0003-3312-4918

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