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ARMAX Modelling in Structural Dynamics – Numerical Integration of the Integral Representations
Author(s) -
Natke H. G.,
Zamirowski M.
Publication year - 1993
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19930730904
Subject(s) - numerical integration , representation (politics) , mathematics , stochastic differential equation , dynamics (music) , inverse problem , differential equation , mathematical analysis , physics , politics , political science , acoustics , law
A review of ARMAX modelling and the approximations of the differential equations of motion are given in previous publications. Here ARMAX modelling based on integral equations in structural dynamics using direct numerical integration equations is investigated. The result is an ARMAX representation for a pre‐given accuracy for numerical purposes. Various integration methods lead to various ARMAX models. Taking into account the resulting estimation errors several ARMAX representations are also compared. It is shown that the inverse problem, the determination of physical parameters from the AR and MA coefficients leads to a unique solution.