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A linearization scheme for hysteretic systems subjected to random excitation
Author(s) -
Grossmayer Rudolf L.,
Iwan Wilfred D.
Publication year - 1981
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/eqe.4290090206
Subject(s) - linearization , bilinear interpolation , component (thermodynamics) , control theory (sociology) , excitation , scheme (mathematics) , stiffness , natural frequency , feedback linearization , nonlinear system , mathematics , computer science , engineering , structural engineering , physics , mathematical analysis , control (management) , acoustics , statistics , quantum mechanics , artificial intelligence , electrical engineering , vibration , thermodynamics
The problem of predicting the response of hysteretic yielding systems under random excitation is considered. The paper presents a linearization scheme which is motivated by extensive simulation studies of the bilinear hysteretic system. The response process is decomposed into a low frequency drift component and a component with a frequency near the linearized natural frequency of the system. Effective stiffness and damping parameters are presented. The accuracy of the various steps of the scheme is examined. The approach gives results which are in close agreement with simulation estimates even for large‐system non‐linearity.