COUPLING EIGENVALUES AND EIGENVECTORS: A TOOL FOR INVESTIGATING THE VIBROACOUSTIC BEHAVIOUR OF COUPLED VIBRATING SYSTEMS

Authors: Bessac F.¹; Gagliardini L.¹; Guyader J.L.²

Source: Journal of Sound and Vibration, Volume 191, Number 5, April 1996 , pp. 881-899(19)

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Abstract:

The transmission of vibrations between coupled subsystems is treated by using coupling eigenvalues and eigenvectors. It is demonstrated through a basic equation that coupling eigenvalues and eigenvectors characterize the energy exchanges between subsystems due to the coupling. The coupling eigenvalue relates to the coupling strength and coupling eigenvectors to the coupling transmission path. In addition, in the case of several couplings, a simplified method is presented in which only the prevailing modal path between subsystems is used. The results obtained by using this method compare well with the reference calculation. The transmission of vibrations by coupling can be calculated with a small number of variables and offers a new perspective in the range of medium frequency.

Language: English

Document Type: Research article

Affiliations: 1: Centre Scientifique et Technique du Batiment, 24 rue Joseph Fourier, 38400 Saint-Martin-d'Heres, France 2: Laboratoire Vibrations-Acoustique, INSA Lyon, Batiment 303, 20 avenue Albert Einstein, 69621 Villeurbanne cedex, France

Publication date: 1996-04-01