On the generalisation of the transmissibility concept

A generalisation of the transmissibility concept is presented for structures with several degrees of freedom. A transmissibility matrix between two sets of response functions is built from any of the mobility matrices of the structure. In most practical cases, the known, or measured, responses shall make one of the sets, while the other set will include the responses at any of the other co-ordinates. It is shown that the transmissibility is generally a rectangular matrix, since the number of response functions in each of the sets need not be the same; nevertheless, to allow for a solution for the unknown responses, the number of known responses needs to be at least the same as the number of input forces and moments (generalised forces) applied to the structure. (C) 2000 Academic Press.