Fuzzy Structural Analysis of a Tuned Mass Damper Subject to Random Vibration

The uncertainty is a typical feature of eachhuman activity since the greatest part of the information is always affected by a surelevel of scattering. Different methodologies which deal with the uncertainty of the realproblems exist. The principal aim of this paper is to presentan innovative hybrid approach which combines fuzzy and stochastic theories infacing the structural analysis of a tuned mass damper subject to a dynamic randomload, modelled by a modulated filtered white noise. In this work the parametersinvolved in the structural analysis will be considered uncertain and supposed fuzzysets to take into account the effects of lexical and informal uncertainties whichcannot be studied in a probabilistic way. The system analysis is conducted bymeans of -level optimization technique.Successively, a numerical example is presented to show the effectiveness of theproposed procedure. Moreover, a sensitivity analysis is performed to expose thevariation of the structural response membership function considering differentinput values. Finally, a comparison between the response nominal value and thefuzzificated one is proposed to obtain a structural amplification factor