STOCHASTIC ESTIMATION FOR THE EFFECT OF NUMBER OF DESIGN INPUT MOTIONS ON SEISMIC PERFORMANCE OF STRUCTURES

Abstract

 In this paper, we proposed a stochastic scheme for estimating the effect of number of design input motions on seismic performance of structures. In the proposed scheme seismic performance of structures are evaluated based on information entropy of input motions, and relationship between number of input motions and information entropy is formulated by Sanov's theorem. The theorem indicates a probability that infomation entropy or seismic performance of structures is low decreases exponentially with the increase of number of input motions, which was verified by numerical results.