RANDOM VIBRATION OF COUPLED OSCILLATORS AND COUPLED STRUCTURES

摘要

It is proved that the time average power flow between two linearly coupled linear oscillators excited by independent white noise sources is proportional to the difference in the time average energies of the oscillators. This proportionality is valid even when the oscillators are strongly coupled if the oscillator energies are defined correctly. The validity of power-flow energy-difference proportionality in systems of more than two oscillators is hypothesized. Some conceptual difficulties involved in formulating a coupled mode model of coupled structures are discussed. An experimental investigation of a beam-beam structure demonstrates that the coupled oscillator power flow calculation can be used to predict power flow and energy sharing in coupled continuous structures excited with broadband noise.