Prediction and measurement of the proportionality constant in statistical energy analysis of structures

Abstract

The fundamental equation of Statistical Energy Analysis (SEA) states that the average power flow between two coupled vibrating systems is proportional to the difference in their average modal energies. Under certain circumstances one can estimate the proportionality constant by modifying system boundary conditions on the separated systems and calculating or measuring changes in the systems. Newland's estimate, based upon blocking part of the system, is reexamined and limitations are discussed. Three alternative methods which circumvent blocking are presented. These were applied to predict power flow in experiments on coupled beams and on coupled plates wherein power flow through the coupling was measured directly as a product of force with velocity. The measurements support the fundamental SEA relation, including the null power point where the average modal energies are equal. Measured and predicted proportionality constants are compared.