ARMAX MODELING IN STRUCTURAL DYNAMICS - NUMERICAL-INTEGRATION OF THE INTEGRAL-REPRESENTATIONS

A review of ARMAX modelling and the approximations of the differential equations of motion are given in previous publications. Here ARMAX mo delling based on integral equations in structural dynamics using direc t numerical integration equations is investigated The result is an ARM AX representation for a pre-given accuracy for numerical purposes. Var ious integration methods lead to various ARMAX models. Taking into acc ount the resulting estimation errors several ARMAX representations are also compared. It is shown that the inverse problem, the determinatio n of physical parameters from the AR and MA coefficients leads to a un ique solution.