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On the problem of modelling for parameter identification in distributed structures
Author(s) -
Norris Mark A.,
Meirovitch Leonard
Publication year - 1989
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620281015
Subject(s) - identification (biology) , spillover effect , monotonic function , distributed parameter system , rayleigh–ritz method , parameter identification problem , stiffness , process (computing) , mathematical optimization , computer science , rayleigh scattering , system identification , mathematics , control theory (sociology) , control (management) , engineering , structural engineering , boundary value problem , model parameter , mathematical analysis , data mining , physics , artificial intelligence , biology , microeconomics , operating system , differential equation , botany , economics , optics , measure (data warehouse)
Structures are often characterized by parameters, such as mass and stiffness, that are spatially distributed. Parameter identification of distributed structures is subject to many of the difficulties involved in the modelling problem, and the choice of the model can greatly affect the results of the parameter identification process. Analogously to control spillover in the control of distributed‐parameter systems, identification spillover is shown to exist as well and its effect is to degrade the parameter estimates. Moreover, as in modelling by the Rayleigh–Ritz method, it is shown that, for a Rayleigh–Ritz type identification algorithm, an inclusion principle exists in the identification of distributed‐parameter systems as well, so that the identified natural frequencies approach the actual natural frequencies monotonically from above.