Modeling of transient vibration envelopes using statistical energy analysis techniques

Abstract

The modeling, by the statistical energy analysis (SEA) method, of transient vibration envelopes of coupled systems is investigated. The relation between the time‐varying energy transferred between two coupled subsystems and time‐varying energies of the individual subsystem is studied numerically and experimentally. These studies indicate that time‐varying energy transmitted between two subsystems can be related to the subsystem energies by an appparent time‐varying coupling loss factor. It is shown that the apparent coupling loss factor approaches the asymptotic (or steady‐state) coupling loss factor as response energies and transferred energies are integrated over progressively larger times. Both the apparent time‐varying coupling loss factor and the asymptotic coupling loss factor, determined experimentally, are used in energy balance equations to predict the time‐varying vibration envelopes of a system of two point‐coupled plates and the results are compared. Although overall response predictions are similar, considerable differences are noted in individual frequency bands