Abstract
To clarify the cause of the structural damage due to earthquake, it is necessary to estimate quantitatively the input earthquake motion which caused the damage to structures. This paper presents a probabilistic method to assess roughly the input earthquake motion to structures in the case that only the damage state of structures is known and the input earthquake motion to it is unknown, analyzing statistically the sample data concerning the input earthquake motion obtained from the observation system and each damage state of structures. In this paper, an analytical approach using fuzzy theory as a mean to define each damage state of structures is formulated and discussed. It is hoped that such a tentative study will help to explain the damage factor which caused the damage to structures.
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