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RESPONSE ANALYSIS FOR FUZZY STOCHASTIC DYNAMICAL SYSTEMS WITH MULTIPLE DEGREES OF FREEDOM
Author(s) -
YUE ZHANG,
GUANGYUAN WANG,
FEN SU,
YUHAI SONG
Publication year - 1997
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(199702)26:2<151::aid-eqe627>3.0.co;2-1
Subject(s) - fuzzy logic , degrees of freedom (physics and chemistry) , fuzzy control system , mathematics , dynamical systems theory , control theory (sociology) , stochastic process , frequency domain , computer science , artificial intelligence , physics , mathematical analysis , statistics , control (management) , quantum mechanics
Most real‐life structural/mechanical systems have complex geometrical and material properties and operate under complex fuzzy environmental conditions. These systems are certainly subjected to fuzzy random excitations induced by the environment. For an analytical treatment of such a system subjected to fuzzy random excitations, it becomes necessary to establish the general theory of dynamic response of a system to fuzzy random excitations. In this paper, we extend the work published in Reference [1], and discuss the case of Multi‐Degree‐of‐Freedom (MDF) fuzzy stochastic dynamical systems. The theory of the response, fuzzy mean response and fuzzy covariance response of multi‐degree‐of‐freedom system to fuzzy random excitations in the time domain and frequency domain is put forward. Two cases to determine the fuzzy response statistics of the fuzzy stochastic dynamical system with multiple degrees of freedom are discussed. Two examples are considered in order to demonstrate the rationality and validity of the theory. © 1997 by John Wiley & Sons, Ltd.