Beshara, M., Chohan, G.Y., Keane, A.J. and Price, W.G.
Statistical energy analysis of nonconservatively coupled systems.
Keane, A.J. and Price, W.G. (eds.)
Statistical Energy Analysis: An Overview, with Applications in Structural Dynamics.
Cambridge University Press.
The axial vibrations of two rods coupled together by a spring and viscous damper are invetigated using a modal analysis approach. Exact expressions describing various energy flows are derived in terms of external forcing spectra. The effects of changes to coupling parameters on the relevant power receptances are studied and attention focused on analysis of the coupling damper. The conditions when significant power is dissipated within this damper are examined, thus highlighting when the nonconservative nature of the coupling cannot be neglected without major error. Finally relationships between the ensemble average energy flow and the average total energies of the subsytems are recovered. The basic features of these various relationships are illustrated throughout by the use of numerical examples.
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