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Recursive evaluation of interaction forces and property matrices from unit‐impulse response functions of unbounded medium based on balancing approximation
Author(s) -
Paronesso Antonio,
Wolf John P.
Publication year - 1998
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/(sici)1096-9845(199806)27:6<609::aid-eqe745>3.0.co;2-m
Subject(s) - impulse (physics) , property (philosophy) , impulse response , mathematics , stability (learning theory) , matrix (chemical analysis) , computer science , control theory (sociology) , mathematical analysis , physics , classical mechanics , materials science , philosophy , control (management) , epistemology , machine learning , artificial intelligence , composite material
Starting from the unit‐impulse response matrix of the unbounded medium, a discrete‐time formulation permitting the recursive evaluation of the interaction forces and a continuous‐time formulation yielding property matrices corresponding to a model with a finite number of degrees of freedom are discussed. This is achieved using the balancing approximation method which is easily automated, guarantees stability and leads to highly accurate results. © 1998 John Wiley & Sons Ltd.