Transmissibility of forces in multiple-degree-of-freedom systems

摘要: The present paper addresses the problem of force transmissibility, ie, the relation between transmitted and applied forces. In the basic linear vibration theory the ratio between transmitted and applied force is usually deduced for the single-degree-of-freedom system, such a ratio being called transmissibility. It is also common to deduce the relation between output displacement and a given input displacement and to show that both transmissibility expressions so obtained are, mathematically, the same. The authors, in previous articles, have extended the transmissibility of displacements to the multiple degree of freedom system case, both for periodic and random signals. In the present article the objective is to pursue a similar generalization, this time relating two sets of forces, or more precisely, to deduce a formulation that enables us to calculate the transmitted forces from a set of applied ones. Such a generalization is achieved, some discussion is provided and some simple examples help illustrating the new developments.