Power flow and energy distribution in conservatively or non-conservatively coupled oscillators under correlative excitations

As a foundation of SEA for consevatively or non-conservatively coupled systems under correlative excitations, power flow and energy distribution in two coupled osillators under proportionally correlative excitations are studied mainly in this paper. Theoretical relationship among power flow and time averaged vibational energy of the osillators, as well as power balance equations and energy ratio of them, are derived. Further along, power flow, energy distribution and power balance equations of the systems in conservative or non-conservative coupling and under proportional correlative excitations are discussed in detail, with comparing with characteristics of those in non-correlative excitations. Numerical results supporting the basic theory are given, too. Results show that the power flow and energy distribution of the osillators under correlative excitations, either conservative or non-conservative coupling, are much different to those in the condition of non-correlative excitations.