Response of uncertain coupled vibrating structures by interval analysis

Aim of this paper is the study of the response of coupled structural multimodal systems when one of them is defined by uncertain parameters. It is assumed that the structures are quite complex and they are only known by their FRF matrices on a set of points. The response of the whole system is obtained by the new FRF matrix achieved by a mathematical manipulation of the known original FRF matrices of each subsystem. The uncertain parameters are considered interval variables and they involve the uncertainties of the FRF matrices. Therefore, the response of the system is achieved by the solution of an interval linear system. The results are compared with an appropriate Monte Carlo solution