Fuzzy theory for uncertain structural analysis based on measurement data

Based on the measurement data, a fuzzy analysis method was proposed to deal with the problems of uncertain structural mechanics. A new membership function of the uncertain parameters was constructed by utilizing the difference coefficient, and then a finite number of scattered data points of the uncertain parameters were described as fuzzy parameters and quantified by this method. The true values and the probable intervals for them were estimated, which were applied into the fuzzy finite element analysis of structural mechanics to obtain the uncertain response of the structure. A 10-bar truss structure with parametric uncertainties was used to analyze the uncertain response by the presented method. Numerical results illustrate its feasibility and validity.