SEA and coupling loss factors of coupled sets of oscillators

Mace, B.R., Ji, L. and Thite, A.N. (2005) SEA and coupling loss factors of coupled sets of oscillators. NOVEM 2005, St Raphael, France. 17 - 20 Apr 2005. 12 pp .

Abstract

This paper concerns the Statistical Energy Analysis (SEA) of coupled oscillators and coupled sets of oscillators. These sets of oscillators might be subsystems modelled discretely, typically by finite element analysis (FEA). Expressions for the ensemble average coupling power and coupling loss factor (CLF) are determined. The coupling powers and CLFs are found in terms of the interaction of oscillator pairs. Such an approach was adopted in some of the earliest SEA studies. Here the approach is extended by ensemble-averaging the oscillator interaction and including the effect of correlation between oscillator coupling and oscillator properties. Estimates of ensemble-average CLFs can be found in a systematic manner. A parameter describing the strength of coupling is found. The CLFs are seen to depend on damping in the strong coupling limit. The distinction between strong coupling and strong connection is made. Numerical examples of point-coupled rods and plates are considered. Results are compared with those of conventional SEA modelling approaches and “exact” wave, energy distribution and FEA models.

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