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Fuzzy random vibration of multi‐degree‐of‐freedom hysteretic systems subjected to earthquakes
Author(s) -
Wang GuangYuan,
Ou JinPing
Publication year - 1987
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.4290150502
Subject(s) - randomness , random vibration , vibration , fuzzy logic , structural engineering , covariance matrix , white noise , engineering , mathematics , computer science , physics , algorithm , acoustics , artificial intelligence , statistics
Earthquake excitation not only has evident randomness but also has strong fuzziness owing to the uncertainties in the definition of earthquake intensity and site soil classification. In this paper, the seismic ground motion is simulated as a stationary filtered white noise with fuzzy parameters, an analytical procedure is proposed to analyse the fuzzy random vibration of multi‐degree‐of‐freedom (MDOF) hysteretic systems, and the covariance matrix of the fuzzy random responses is derived by the equivalent linearization technique. Finally, some numerical results for a two‐storey shear hysteretic frame are presented to demonstrate the validity and effectiveness of the procedure proposed.