FEM complex envelope displacement (CED) analysis for damped high frequency vibrations

Abstract

Complex envelope displacement analysis (CEDA, introduced by Carcaterraand Sestieri) seems to be a promising approach in the mid or high frequency range for vibroacoustic computations. The CED analysis solves for a smooth or low wave number transformed displacement variable from an accordingly transformed partial differential equation, a quasi-static problem. This paper addresses the specific problems that have been solved for generalisation of the original CED analysis to both damped high frequency vibrations in two point boundary value problems as well as the implementation for damped FEM calculations. A numerical example of the longitudinal vibration in a bar is used to illustrate and assess the new FEM method

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