Dependence of the induced loss factor on the coupling forms and coupling strengths: linear analysis

The influence of a set of satellite oscillators on the response behavior of a master oscillator, to which the set is coupled, is of fundamental significance to structural acoustics and beyond. The focus is largely on the induced loss factor that the satellite oscillators generate in the impedance of the master oscillator. Much of the research work performed on behalf of this investigation employed basically sprung masses for the satellite oscillators. A sprung mass is a primitive type of satellite oscillator and, as such, limitations are imposed on the range of applicability of these research works. In this paper more elaborate satellite oscillators are introduced; and, especially, a wider range of coupling forms and strengths are investigated. A number of new insights are, thereby, obtained. In particular, this paper facilitates further studies of the relationships among the linear impedance analysis, the energy analysis and the statistical energy analysis. These studies are in progress and will be subsequently reported.