The complex envelope displacement analysis (CEDA) is a procedure to solve high frequency vibration and vibroacoustic problems, providing the envelope of the physical solution. CEDA, based originally on a variable transformation that maps the high frequency oscillations into a quasi-static displacement field, has been successfully applied to one-dimensional systems but the extension to plates and vibroacoustic cavities met several difficulties and required a general revision of the theory. In this paper a generalization of CEDA is presented and called Complex Envelope Displacement Vectorization (CEDV): its feature is that of transforming any high dimensional problem into a one-dimensional problem, through a suitable vectorization procedure of the physical discrete system. Some results related to flexural plates and vibroacoustic cavities are provided to enlighten the capability of the method.

Application of the complex envelope vectorization to vibroacoustic systems / Carcaterra, Antonio; Sestieri, Aldo. - STAMPA. - (2003), pp. 2801-2808. (Intervento presentato al convegno Proceedings of the Tenth International Congress on Sound and Vibration tenutosi a Stockholm nel 7 July 2003 through 10 July 2003).

Application of the complex envelope vectorization to vibroacoustic systems

CARCATERRA, Antonio;SESTIERI, Aldo
2003

Abstract

The complex envelope displacement analysis (CEDA) is a procedure to solve high frequency vibration and vibroacoustic problems, providing the envelope of the physical solution. CEDA, based originally on a variable transformation that maps the high frequency oscillations into a quasi-static displacement field, has been successfully applied to one-dimensional systems but the extension to plates and vibroacoustic cavities met several difficulties and required a general revision of the theory. In this paper a generalization of CEDA is presented and called Complex Envelope Displacement Vectorization (CEDV): its feature is that of transforming any high dimensional problem into a one-dimensional problem, through a suitable vectorization procedure of the physical discrete system. Some results related to flexural plates and vibroacoustic cavities are provided to enlighten the capability of the method.
2003
Proceedings of the Tenth International Congress on Sound and Vibration
04 Pubblicazione in atti di convegno::04b Atto di convegno in volume
Application of the complex envelope vectorization to vibroacoustic systems / Carcaterra, Antonio; Sestieri, Aldo. - STAMPA. - (2003), pp. 2801-2808. (Intervento presentato al convegno Proceedings of the Tenth International Congress on Sound and Vibration tenutosi a Stockholm nel 7 July 2003 through 10 July 2003).
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/251864
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