Author(s)

P. Ferrari & M. Savoia

Abstract

In this paper, theories of possibility and fuzzy sets are used for dynamic analysis of simple structures. The potentialities of possibility theory for analysis and design of engineering problems with uncertain data are first discussed. Possibility theory and fuzzy numbers are used to obtain upper and lower bounds for probability distributions and other statistical quantities, such as mean value intervals and upper and lower percentiles. The method is used to obtain the natural frequency of a simple structural systems constituted by the principal structure (frames, shear walls) and a number of nonstructural elements and infrastructures which are considered uncertainly defined and represented through fuzzy numbers. The aim of the study is to propose a tec

Keywords