Uncertainties in wave characteristic of one-dimensional periodic media using the fuzzy wave finite element method
Résumé
To predict the wave characteristics of the periodic media in the presence of fuzzy uncertainties, the wave finite element method in conjunction with fuzzy logic and algebra has been applied. For one-dimensional wave propagation, firstly, the most significant input parameters such as Young's modulus and mass density are identified and then fuzzified using the membership functions. Then, the fuzzy variable is propagated through the numerical model of interval analysis. The dispersion curves for flexural and longitudinal waves with fuzzy parameters have been used to illustrate the generality of the proposed approach also looking at the possibility to have frequency region in which those waves cannot propagate (frequency band gaps). The triangular membership functions have been used in the numerical examples and the obtained results are compared against the classical Monte Carlo simulations (MCS). The approach was presented for very simplified test-cases but it is found to be more efficient when compared with the conventional MCS approach in terms of computational cost.
Origine | Fichiers produits par l'(les) auteur(s) |
---|
Loading...