On the Spurious Solutions in Complex Envelope Displacement Analysis

Author: Sestieri A.   Carcaterra A.  

Publisher: Academic Press

ISSN: 0022-460X

Source: Journal of Sound and Vibration, Vol.240, Iss.2, 2001-02, pp. : 293-302

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Abstract

Complex envelope displacement analysis seems to be a promising approach to analyze high-frequency structural problems and is expected to be useful to study structural-acoustic coupled problems. However, in the original derivation of the method it was shown the presence of a troublesome spurious solution consisting of a high wavenumber component that would make the envelope approach inefficient. The elimination of this term is quite simple for one-dimensional systems but, in view of more complex developments, the problem deserves a serious investigation to explain the origin of this contribution and to introduce a simple and general approach to cancel this term in more general applications. In the present paper both these aspects are carefully considered and successfully developed.