Fuzzy random vibration of hysteretic system subjected to earthquake

Earthquake excitation has evident randomness and also has strong fuzziness owing to the uncertainties in the definition of earthquake intensity and site soil classification. The proposed method for simulation of seismic ground motions includes simulation of the event as a stationary filtered white noise with fuzzy parameters. The analytical procedure is proposed to analyze the fuzzy random vibration of multi-degree-of-freedom hysteretic systems and covariance matrix of the fuzzy random responses is derived by the equivalent linearization technique. Finally is given an example, in which some numerical results for a two-stored shear hysteretic frame are presented to demonstrate the effectiveness of the proposed procedure.