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An alternative approach to the random response of bilinear hysteretic systems
Author(s) -
Asano Koichiro,
Iwan Wilfred D.
Publication year - 1984
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.4290120207
Subject(s) - bilinear interpolation , representation (politics) , linearization , mathematics , covariance , hysteresis , extension (predicate logic) , covariance matrix , control theory (sociology) , mathematical analysis , nonlinear system , computer science , physics , algorithm , control (management) , statistics , quantum mechanics , artificial intelligence , politics , political science , law , programming language
An analytical representation of the bilinear hysteretic characteristic is presented. Using this representation, the response of a single‐degree‐of‐freedom bilinear hysteretic system subjected to non‐stationary random excitation is examined by equivalent linearization. An ordinary differential equation is derived for the covariance matrix of the response. Numerical examples are presented and the accuracy of the approach is demonstrated. Extension of the approach to a wider class of hysteretic systems is discussed.