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ARMAX Modelling in Structural Dynamics – Approximations of the Differential Equations of Motion
Author(s) -
Natke H. G.,
Zamirowski M.
Publication year - 1992
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.19920721207
Subject(s) - discretization , mathematics , context (archaeology) , equivalence (formal languages) , covariance , ordinary differential equation , differential equation , mathematical analysis , statistics , paleontology , discrete mathematics , biology
ARMAX models are popular in system identification. Spatial discretization of structural models leads to ordinary differential equations. The approximation of the differential quotients leads to ARX and ARMAX models of various orders. This approximation problem is discussed in the context of model order. Statistical studies due to a covariance equivalence of proposed models are investigated. Secondly, the inverse problem of identifying the physical parameters of the structural model from the ARMAX parameters within the approximation domain is also invesitgated.