摘要：The uncertainty is a typical feature of each
human activity since the greatest part of the information is always affected by a sure
level of scattering. Different methodologies which deal with the uncertainty of the real
problems exist. The principal aim of this paper is to present
an innovative hybrid approach which combines fuzzy and stochastic theories in
facing the structural analysis of a tuned mass damper subject to a dynamic random
load, modelled by a modulated filtered white noise. In this work the parameters
involved in the structural analysis will be considered uncertain and supposed fuzzy
sets to take into account the effects of lexical and informal uncertainties which
cannot be studied in a probabilistic way. The system analysis is conducted by
means of 𝛼-level optimization technique.
Successively, a numerical example is presented to show the effectiveness of the
proposed procedure. Moreover, a sensitivity analysis is performed to expose the
variation of the structural response membership function considering different
input values. Finally, a comparison between the response nominal value and the
fuzzificated one is proposed to obtain a structural amplification factor.
